teacher guide - e- · pdf fileteacher guide 6 in collaboration with dickens publishing ltd....
TRANSCRIPT
PratomsuksaBased on the Basic EducationCurriculum B.E.2551
TeacherGuide
6In collaboration withDickens Publishing Ltd. (UK)
Mathematics Pratomsuksa 6 – Lesson Plan 1
PPPPPPPPrrrrrrrreeeeeeeeffffffffaaaaaaaacccccccceeeeeeee
The learning of Mathematics imparts many skills that contribute to the
development of the human mind. It trains the learner to think methodically and
rationally, analyse various types of situations, anticipate and plan, make
decisions and solve problems. Mathematics also serves as a tool that facilitates
the gaining of knowledge related to science and technology. Mathematical
skills and knowledge are indeed essential to enhance our standard and quality
of living in the modern area.
The Basic Education Core Curriculum aims to inculcate the following
five key competencies among students:
1. Communication Skill
2. Thinking Skill
3. Problem – Solving Skill
4. Applying Life Skill
5. Technological Application Skill
The learning areas in the study of mathematics are designed to enable
students to acquire mathematical skills and knowledge according to their
utmost potential. The learning areas are as follows:
• Numbers and Operations: numerical concepts and sense of
perception; real number system; properties of real numbers; operation of
numbers; ratio; percentage; problem-solving involving numbers; and
application of numbers in real life.
Mathematics Pratomsuksa 6 – Lesson Plan 2
• Measurement: length; distance; weight; area; volume and capacity;
money and time; measuring units; estimation for measurement; trigonometric
ratio; problem-solving regarding measurement; and application of
measurement in various situations
• Geometry: geometric figures and properties of one-dimensional
geometric figures; visualization of geometric models; geometric theories; and
geometric transformation through translation, reflection and rotation
• Algebra: pattern; relationship; function; sets and their operations;
reasoning; expression; equation; equation system; inequality; graph; arithmetic
order; geometric order; arithmetic series; and geometric series
• Data Analysis and Probability: determining an issue; writing
questions; determining methods of study; study; data collection,
systematization and presentation; central tendency and data distribution; data
analysis and interpretation; opinion polling; probability; application of
statistical knowledge and probability; application of probability in explaining
various situations as well as for facilitating decision-making in real life
• Mathematical Skills and Processes: problem-solving through
diverse methods; reasoning; communication; communication and presentation
of mathematical concepts; linking mathematics with other disciplines; and
attaining ability for creative thinking
Mathematics Pratomsuksa 6 – Lesson Plan 3
Strands and Learning Standards
Strand 1: Numbers and Operations
Standard M1.1: Understanding diverse methods of presenting numbers and
their application in real life
Standard M1.2: Understanding results of operations of numbers,
relationships of operations, and application of operations
for problem-solving
Standard M1.3: Use of estimation in calculation and problem-solving
Standard M1.4: Understanding of numerical system and application of
numerical properties
Strand 2: Measurement
Standard M2.1: Understanding of the basics of measurement; ability to
measure and estimate the size of objects to be measured
Standard M2.2: Solving measurement problems
Strand 3: Geometry
Standard M3.1: Ability to explain and analyse two-dimensional and three-
dimensional geometric figures
Standard M3.2: Ability for visualisation, spatial reasoning and application
of geometric models for problem-solving
Strand 4: Algebra
Standard M4.1: Understanding and ability to analyse pattern, relation and
function
Standard M4.2: Ability to apply algebraic expressions, equations,
inequalities, graphs and other mathematical models to
Mathematics Pratomsuksa 6 – Lesson Plan 4
represent various situations as well as interpretation and
application for problem-solving
Strand 5: Data Analysis and Probability
Standard M5.1: Understanding and ability to apply statistical methodology
for data analysis
Standard M5.2: Application of statistical methodology and knowledge of
probability for valid estimation
Standard M5.3: Application of knowledge of statistics and probability for
decision-making and problem-solving
Strand 6: Mathematical Skills and Processes
Standard M6.1: Capacity for problem-solving, reasoning; communication
and presentation of mathematical concept; linking various
bodies of mathematical knowledge and linking
mathematics with other disciplines; and attaining ability for
creative thinking
For common understanding and correct interpretation, the curriculum
prescribes various codes for learning standards and indicators. One example is
shown below:
M 1.1 Gr 6/2
M Subject area of Mathematics
1.1 First subject area, Standard 1
Gr6/2 Indicator 2 for Grade (Pratomsuksa) 6
Mathematics Pratomsuksa 6 – Lesson Plan 5
Learners’ Quality
•••• Have numerical knowledge, understanding, and sense of cardinal
numbers and zero, fractions, decimals of not more than three places,
percentages, operation of numbers and properties of numbers; can solve
problems involving addition, subtraction multiplication and division of
cardinal numbers, fractions, decimals of not more than three places and
percentages; are aware of validity of the answers reached; and can find
estimates of cardinal numbers and decimals of not more than three places.
•••• Have knowledge and understanding of length, distance, weight, area,
volume, capacity, time, money, direction, diagrams and size of angles; can
measure correctly and appropriately; and can apply knowledge of
measurement for solving problems faced in various situations.
•••• Have knowledge and understanding of characteristics and properties
of triangles, squares, circles, cuboids, cylinders, cones, prisms, pyramids
angles and parallel lines.
•••• Have knowledge and understanding of patterns and can explain their
relationships and solve problems involving patterns; can analyse situations or
problems as well as write linear equations with an unknown that can be
solved.
•••• Can collect data and information and discuss various issues from
pictograms, bar charts, comparative bar charts, pie charts, line graphs and
tables that are availed of for presentation; and can apply knowledge of basic
probability in projecting various possible situations.
Mathematics Pratomsuksa 6 – Lesson Plan 6
•••• Can apply diverse methods for problem-solving, availing of
mathematical and technological knowledge, skills, and processes
appropriately to solve problems faced in various situations; can suitably
provide reasoning for decision-making and appropriately present the
conclusions reached; can use mathematical language and symbols for
communication as well as accurate and appropriate communication and
presentation of mathematical concepts; can link various bodies of
mathematical knowledge and can link mathematical knowledge with other
disciplines; and have attained ability for creative thinking.
Mathematics Pratomsuksa 6 – Lesson Plan 7
YYYYYYYYYYYYeeeeeeeeeeeeaaaaaaaaaaaarrrrrrrrrrrrllllllllllllyyyyyyyyyyyy TTTTTTTTTTTTeeeeeeeeeeeeaaaaaaaaaaaacccccccccccchhhhhhhhhhhhiiiiiiiiiiiinnnnnnnnnnnngggggggggggg PPPPPPPPPPPPllllllllllllaaaaaaaaaaaannnnnnnnnnnn
Mathematics Grade 6 (Pratomsuksa 6)
15 chapters 160 hours
Learning area Duration
(hours)
1. Whole Numbers • Rounding off whole numbers • Combined operations • Solving word problems involving combined
operations
6
2. Equations • Equations • Equation with one unknown • Addition and subtraction properties of equality • Multiplication and division properties of equality • Solving equations using properties of equality • Using equations to solve word problems
11
3. Factors • Factors of whole numbers • Prime factors • Factorization of whole numbers • Highest Common Factor (HCF) • Lowest Common Multiple (LCM) • Using HCF and LCM to solve word problems
14
4. Fractions • Comparing fractions • Ordering fractions • Simplifying fractions • Addition and subtraction of fractions • Multiplication of fractions • Division of fractions • Solving word problems involving fractions • Combined operations on fractions
13
Mathematics Pratomsuksa 6 – Lesson Plan 8
5. Decimals • Three-decimals place numbers • Place values and digit values of digits in decimals • Writing decimals in expanded form • Comparing and ordering decimals • Decimals and fractions • Rounding off decimals
10
6. Addition, Subtraction and Multiplication of Decimals • Addition of decimals • Subtraction of decimals • Multiplication of decimals • Using addition, subtraction and multiplication of
decimals to solve word problems
11
7. Division of Decimals • Dividing decimals by whole numbers • Converting fractions to decimals • Dividing decimals by decimals • Using division to solve word problems • Combined operations on decimals
10
8. Percentage • Finding the percentage of a number out of another • Solving problems involving percentage • Simple interest
15
9. Directions and Diagrams • Directions • Diagram
10
10. Angles and Line Segments • Measuring angles • Drawing angles • Angles of equal sizes • Dividing angles and line segments in half
9
11. Parallel Lines • Corresponding, alternate and interior angles • Determining if two or more lines are parallel lines
7
Mathematics Pratomsuksa 6 – Lesson Plan 9
12. Quadrilaterals • Diagonals of quadrilaterals • Constructing quadrilaterals • Areas of parallelograms and trapeziums • Estimating areas of quadrilaterals • Solving problems involving quadrilaterals
13
13. Circles • Circumference of a circle • Area of a circle
8
14. Three-Dimensional Geometric Shapes and Volume of Cuboid
• Nets • Models of geometric solids • Volume of cuboid
7
15. Statistics and Probability •••• Multiple bar charts •••• Line graphs •••• Pie charts •••• Probability
10
16. Patterns •••• Patterns •••• Solving problems involving patterns
7
Note: The hours needed for each subtopic can be changed when necessary.
The above allocated hours are just a suggestion. Total hours for this subject is
as prescribed in the basic learning time structure, while the learners must attain
the standard as prescribed in the learning standards and indicators.
Mathematics Pratomsuksa 6 – Lesson Plan 10
IIIIIIIIIIIInnnnnnnnnnnnddddddddddddiiiiiiiiiiiiccccccccccccaaaaaaaaaaaattttttttttttoooooooooooorrrrrrrrrrrrssssssssssss aaaaaaaaaaaannnnnnnnnnnndddddddddddd LLLLLLLLLLLLeeeeeeeeeeeeaaaaaaaaaaaarrrrrrrrrrrrnnnnnnnnnnnniiiiiiiiiiiinnnnnnnnnnnngggggggggggg AAAAAAAAAAAArrrrrrrrrrrreeeeeeeeeeeeaaaaaaaaaaaassssssssssss
CCCCCCCCCCCChhhhhhhhhhhhaaaaaaaaaaaapppppppppppptttttttttttteeeeeeeeeeeerrrrrrrrrrrr 111111111111 WWWWWWWWWWWWhhhhhhhhhhhhoooooooooooolllllllllllleeeeeeeeeeee NNNNNNNNNNNNuuuuuuuuuuuummmmmmmmmmmmbbbbbbbbbbbbeeeeeeeeeeeerrrrrrrrrrrrssssssssssss ((((((((((((666666666666 hhhhhhhhhhhhoooooooooooouuuuuuuuuuuurrrrrrrrrrrrssssssssssss))))))))))))
Indicator Learning Area
M1.2 Gr6/2 Analyse and show method of
finding answers to problems and mix-problems
of cardinal numbers, fractions mixed numbers,
decimals and percentages, as well as be aware
of validity of the answers, and can construct
problems involving cardinal numbers.
M1.4 Gr6/1 Use communicative, associative
and distributive properties in calculation.
•••• Combined operations
•••• Solving word problems
involving combined
operations
M1.3 Gr6/1 Make approximate estimates of
various integers of cardinal numbers, which can
be applied.
•••• Rounding off whole
numbers
LLL eeeaaarrr nnniii nnnggg OOObbbjjj eeecccttt iii vvveeesss
Students will be taught to:
1. Understand how to round off whole numbers.
2. Perform combined operations.
LLL eeeaaarrr nnniii nnnggg OOOuuuttt cccooommmeeesss
Students will be able to:
1. Round off whole numbers.
2. Perform combined operations.
3. Solve word problems involving combined operations
Mathematics Pratomsuksa 6 – Lesson Plan 11
LLL eeeaaarrr nnniii nnnggg AAArrr eeeaaasss
•••• Rounding off whole numbers
•••• Combined operations
•••• Solving word problems involving combined operations
TTTeeeaaaccchhhiii nnnggg aaannnddd LLL eeeaaarrr nnniii nnnggg AAAcccttt iii vvviii ttt iii eeesss
1st – 2nd hours (Rounding Off Whole Numbers)
1. Guide students to always look at the digit on the right of the place value
to which the number is to be rounded off, when they are going to round
off numbers.
2. Use the examples on pages 2 and 3 to guide students to round off
numbers.
3. Ask students to try Practice on page 3. Discuss the answers with them.
4. Have students work on Exercises A to C on pages 2 and 3 of the
workbook as their homework.
3rd hour (Combined Operations)
1. Help students to recall the commutative property, the associative
property and the distributive property. Use the examples on pages 4 and
5.
2. Remind students to do the operations in the brackets, follow by the
multiplication and division, and then addition and subtraction when they
are performing combined operations.
3. Refer to the example on pages 5 and 6.
4. Ask students to try Practice on page 6. Discuss the answers with them.
5. Have students work on Exercises D to F on pages 3 and 4 of the
workbook as their homework.
Mathematics Pratomsuksa 6 – Lesson Plan 12
4th hour (Solving Word Problems Involving Combined Operations)
1. Use the example on page 7 to guide students to solve word problems
involving combined operations.
2. Ask students to try Practice on page 8. Discuss the answers with them.
3. Have students work on Exercise G on pages 5 and 6 of the workbook as
their homework.
5th – 6th hours (Conclusion)
1. To test students’ understanding of this chapter, have them try Test
Yourself on page 9. Discuss the answers with them.
2. Have students work on Mastery Practice on pages 7 to 9 of the
workbook as their homework.
EEEmmmppphhhaaasssiii zzzeeeddd CCChhhaaarrr aaacccttteeerrr iii sssttt iii cccsss:::
1. Thinking skill
2. Problem-solving skill
3. Analysing skill
LLL eeeaaarrr nnniii nnnggg MMM aaattteeerrr iii aaalll sss:::
•••• Primary Education Smart Textbook Mathematics P6
•••• Primary Education Smart Workbook Mathematics P6
Mathematics Pratomsuksa 6 – Lesson Plan 13
LLLLLLLLeeeeeeeeaaaaaaaarrrrrrrrnnnnnnnniiiiiiiinnnnnnnngggggggg OOOOOOOOuuuuuuuuttttttttccccccccoooooooommmmmmmmeeeeeeee FFFFFFFFoooooooorrrrrrrrmmmmmmmm
Name-Surname: ............................................................................. No. ..................................
Pratomsuksa: .................................................................................... Date: ................................
Chapter 1 Whole Numbers
Explanation: Summary of learning outcomes
Feeling after learning this
chapter:
...........................................................
...........................................................
...........................................................
...........................................................
Contents that you need teacher
to explain further:
...............................................................
...............................................................
...............................................................
..............................................................
Knowledge gained from this
chapter:
...............................................................
...............................................................
...............................................................
...............................................................
Application of knowledge from
this chapter on your daily life:
...............................................................
................................................................
................................................................
................................................................
Contents that you like the
most in this chapter (give your
reason):
...........................................................
...........................................................
...........................................................
...........................................................
Exercises that you like and want
to be selected as the
outstanding work:
...............................................................
...............................................................
...............................................................
...............................................................
Chapter 1
Whole Numbers
Mathematics Pratomsuksa 6 – Lesson Plan 14
IIIIIIIIIIIInnnnnnnnnnnnddddddddddddiiiiiiiiiiiiccccccccccccaaaaaaaaaaaattttttttttttoooooooooooorrrrrrrrrrrrssssssssssss aaaaaaaaaaaannnnnnnnnnnndddddddddddd LLLLLLLLLLLLeeeeeeeeeeeeaaaaaaaaaaaarrrrrrrrrrrrnnnnnnnnnnnniiiiiiiiiiiinnnnnnnnnnnngggggggggggg AAAAAAAAAAAArrrrrrrrrrrreeeeeeeeeeeeaaaaaaaaaaaassssssssssss
CCCCCCCCCCCChhhhhhhhhhhhaaaaaaaaaaaapppppppppppptttttttttttteeeeeeeeeeeerrrrrrrrrrrr 222222222222 EEEEEEEEEEEEqqqqqqqqqqqquuuuuuuuuuuuaaaaaaaaaaaattttttttttttiiiiiiiiiiiioooooooooooonnnnnnnnnnnnssssssssssss ((((((((((((111111111111111111111111 hhhhhhhhhhhhoooooooooooouuuuuuuuuuuurrrrrrrrrrrrssssssssssss))))))))))))
Indicator Learning Area
M4.2 Gr6/1 Write an equation based on a
situation or problem, solve the equation and
check the answer.
•••• Equations
•••• Equations with one
unknown
•••• Addition and subtraction
properties of equality
•••• Multiplication and division
properties of equality
•••• Solving equations using
properties of equality
•••• Using equations to solve
word problems
LLL eeeaaarrr nnniii nnnggg OOObbbjjj eeecccttt iii vvveeesss
Students will be taught to:
1. Understand the concept of equations.
2. Solve word problems involving equations.
LLL eeeaaarrr nnniii nnnggg OOOuuuttt cccooommmeeesss
Students will be able to:
1. Determine true and false equations.
2. Identify equations with an unknown.
3. Know the addition, subtraction, multiplication and division properties of
equality.
4. Solve problems and word problems involving equations.
Mathematics Pratomsuksa 6 – Lesson Plan 15
LLL eeeaaarrr nnniii nnnggg AAArrr eeeaaasss
•••• Equations
•••• Equations with one unknown
•••• Addition and subtraction properties of equality
•••• Multiplication and division properties of equality
•••• Solving equations using properties of equality
•••• Using equations to solve word problems
TTTeeeaaaccchhhiii nnnggg aaannnddd LLL eeeaaarrr nnniii nnnggg AAAcccttt iii vvviii ttt iii eeesss
1st - 2nd hours (Equations)
1. Introduce equations to students. Equations have the equal sign (=).
2. Use the examples on page 11 to explain further.
3. Ask students to try Practice on page 11. Discuss the answers with them.
4. Have students work on Exercise A on page 11 of the workbook as their
homework.
5. There are true and false equations. A true equation has the same value
on both sides of the equal sign. A false equation has two different values
on both sides of the equal sign.
6. Refer to page 12 to explain.
7. Ask students to try Practice on page 13. Discuss the answers with them.
8. Have students work on Exercise B on page 11 of the workbook as their
homework.
3rd hour (Equation with One Unknown)
1. Explain what an unknown is in Mathematics. We usually use a letter to
represent an unknown. When an unknown is used in an equation, the
equation is known as an equation with one unknown. Refer to page 13.
Mathematics Pratomsuksa 6 – Lesson Plan 16
2. We can solve these equations. Use the examples on page 14 to guide
students on how to solve the equations.
3. Ask students to try Practice on page 14. Discuss the answers with them.
4. Have students work on Exercise C on page 12 of the workbook as their
homework.
4th hour (Addition and Subtraction Properties of Equality)
1. The values on both sides of the equal sign in a true equation are the
same. Therefore when we add the same number to both sides, the
equation remains true.
2. What happens when we subtract the same number from both sides of a
true equation? Write an equation on the board and ask a student to do it.
The equation remains true.
3. Use the example on page 15.
4. Ask students to try Practice on page 15. Discuss the answers with them.
5th hour (Multiplication and Division Properties of Equality)
1. When we multiply or divide both sides of a true equation by the same
number, the equation remains true.
2. Use the examples on page 16.
3. Ask students to try Practice on page 16. Discuss the answers with them.
4. Have students work on Exercise D on page 12 of the workbook as their
homework.
6th – 7th hours (Solving Equations Using Properties of Equality)
1. We can use the addition and subtraction properties of equality to solve
problems.
2. Use the examples on pages 17 and 18 to guide students to solve them.
Mathematics Pratomsuksa 6 – Lesson Plan 17
3. Always substitute the answer back into the equation to check if the
answer is correct.
4. Ask students to try Practice on page 18. Discuss the answers with them.
5. For multiplication and division problems, we can use the multiplication
and division properties of equation to solve them.
6. Refer to the examples on page 19.
7. Ask students to try Practice on page 20. Discuss the answers with them.
8. Have students work on Exercise E on page 13 of the workbook as their
homework.
8th – 9th hours (Using Equations to Solve Word Problems)
1. When solving word problems, always analyse the problems and write
the equations before solving them. Remember to check the answers by
substitute the answers into the equations.
2. Refer to the examples on pages 20 and 21 to guide students to solve
word problems.
3. Ask students to try Practice on page 21. Discuss the answers with them.
4. Have students work on Exercises F and G on pages 14 to 16 of the
workbook as their homework.
10th – 11th hours (Conclusion)
1. To test students’ understanding of this chapter, have them try Test
Yourself on page 22. Discuss the answers with them.
2. Have students work on Mastery Practice on pages 17 and 18 of the
workbook as their homework.
Mathematics Pratomsuksa 6 – Lesson Plan 18
EEEmmmppphhhaaasssiii zzzeeeddd CCChhhaaarrr aaacccttteeerrr iii sssttt iii cccsss:::
1. Thinking skill
2. Problem-solving skill
3. Analysing skill
LLL eeeaaarrr nnniii nnnggg MMM aaattteeerrr iii aaalll sss:::
•••• Primary Education Smart Textbook Mathematics P6
•••• Primary Education Smart Workbook Mathematics P6
Mathematics Pratomsuksa 6 – Lesson Plan 19
LLLLLLLLeeeeeeeeaaaaaaaarrrrrrrrnnnnnnnniiiiiiiinnnnnnnngggggggg OOOOOOOOuuuuuuuuttttttttccccccccoooooooommmmmmmmeeeeeeee FFFFFFFFoooooooorrrrrrrrmmmmmmmm
Name-Surname: ............................................................................. No. ..................................
Pratomsuksa: .................................................................................... Date: ................................
Chapter 2 Equations
Explanation: Summary of learning outcomes
Feeling after learning this
chapter:
...........................................................
...........................................................
...........................................................
...........................................................
Contents that you need teacher
to explain further:
...............................................................
...............................................................
...............................................................
..............................................................
Knowledge gained from this
chapter:
...............................................................
...............................................................
...............................................................
...............................................................
Application of knowledge from
this chapter on your daily life:
...............................................................
................................................................
................................................................
................................................................
Contents that you like the
most in this chapter (give your
reason):
...........................................................
...........................................................
...........................................................
...........................................................
Exercises that you like and want
to be selected as the
outstanding work:
...............................................................
...............................................................
...............................................................
...............................................................
Chapter 2
Equations
Mathematics Pratomsuksa 6 – Lesson Plan 20
IIIIIIIIIIIInnnnnnnnnnnnddddddddddddiiiiiiiiiiiiccccccccccccaaaaaaaaaaaattttttttttttoooooooooooorrrrrrrrrrrrssssssssssss aaaaaaaaaaaannnnnnnnnnnndddddddddddd LLLLLLLLLLLLeeeeeeeeeeeeaaaaaaaaaaaarrrrrrrrrrrrnnnnnnnnnnnniiiiiiiiiiiinnnnnnnnnnnngggggggggggg AAAAAAAAAAAArrrrrrrrrrrreeeeeeeeeeeeaaaaaaaaaaaassssssssssss
CCCCCCCCCCCChhhhhhhhhhhhaaaaaaaaaaaapppppppppppptttttttttttteeeeeeeeeeeerrrrrrrrrrrr 333333333333 FFFFFFFFFFFFaaaaaaaaaaaaccccccccccccttttttttttttoooooooooooorrrrrrrrrrrrssssssssssss ((((((((((((111111111111444444444444 hhhhhhhhhhhhoooooooooooouuuuuuuuuuuurrrrrrrrrrrrssssssssssss))))))))))))
Indicator Learning Area
M1.4 Gr6/2 Find highest common factor
(H.C.F.) and lowest common multiples
(L.C.M.) of cardinal numbers.
• Factors of whole numbers
• Prime factors
• Factorization of whole
numbers
• Highest Common Factor
• Lowest Common
Multiple
• Using HCF and LCM to
solve word problems
LLL eeeaaarrr nnniii nnnggg OOObbbjjj eeecccttt iii vvveeesss
Students will be taught to:
1. Understand the concept of factors of whole numbers.
2. Understand the characteristics and use the knowledge of prime factors
of whole numbers.
3. Understand the characteristics and use the knowledge of the Highest
Common Factor (HCF).
4. Understand the characteristics and use the knowledge of the Lowest
Common Multiple (LCM).
LLL eeeaaarrr nnniii nnnggg OOOuuuttt cccooommmeeesss
Students will be able to:
1. Determine the factors of whole numbers.
2. Identify characteristics of prime numbers.
Mathematics Pratomsuksa 6 – Lesson Plan 21
3. Identify prime factors from a list of factors.
4. Find prime factors of whole numbers.
5. Find common factors of two and three whole numbers.
6. Determine whether a number is a common factor of two and three given
whole numbers.
7. Find the HCF of two and three given numbers.
8. Find common multiples of two or three whole numbers.
9. Determine whether a number is the common multiple of two or three
given whole numbers.
10. Find the LCM of two or three given numbers.
11. Use HCF and LCM to solve word problems.
LLL eeeaaarrr nnniii nnnggg AAArrr eeeaaasss
• Factors of whole numbers
• Prime factors
• Factorization of whole numbers
• Highest Common Factor
• Lowest Common Multiple
• Using HCF and LCM to solve word problems
TTTeeeaaaccchhhiii nnnggg aaannnddd LLL eeeaaarrr nnniii nnnggg AAAcccttt iii vvviii ttt iii eeesss
1st – 2nd hours (Factors of Whole Numbers)
1. Explain what a factor is in Mathematics. Write the number 90 on the
board and ask them if 9 is a factor of 90. Try with other numbers.
2. Refer to page 24.
3. Ask students to try Practice on page 24. Discuss the answers with them.
4. Write the number 15 on the board and ask students to list all the factors
for 15. Try with other numbers.
Mathematics Pratomsuksa 6 – Lesson Plan 22
5. Ask students to try Practice on page 25. Discuss the answers with them.
6. Have students work on Exercise A on page 21 of the workbook as their
homework.
7. We can use factors to find products too. Refer to the example on page
26. Use it to explain to students.
8. Ask students to try Practice on page 26. Discuss the answers with them.
9. Have students work on Exercise B on page 21 of the workbook as their
homework.
10. We can use factors to find quotients too. Refer to the example on page
27.
11. Ask students to try Practice on page 27. Discuss the answers with them.
12. Have students work on Exercise C on page 22 of the workbook as their
homework.
3rd – 4th hours (Prime Factors)
1. A prime number can be divided, without remainder, only by itself and
by 1. This number has only 2 factors – that is 1 and itself. Zero and 1 are
not considered as prime numbers.
2. Use the examples on page 27 to explain prime numbers. In order to
prove if a number is a prime number, try to divide by 2 and see if you
can get a whole number. If you can, then the number is not a prime
number. Next try divide by prime numbers – 3, 5, 7, 11…. If it is a
prime number, you should not get a whole number as the quotient.
3. Ask students to list all the prime numbers between 2 and 20.
4. Ask students to try Practice on page 28. Discuss the answers with them.
5. Have students work on Exercises D and E on pages 22 and 23 of the
workbook as their homework.
Mathematics Pratomsuksa 6 – Lesson Plan 23
6. Prime factors are factors of a whole number that are prime numbers too.
We can get the prime factors of a whole number by listing all the factors
and then determine the prime numbers.
7. Use the example on page 29 to guide students.
8. Ask students to try Practice on page 29. Discuss the answers with them.
9. Have students work on Exercise F on page 23 of the workbook as their
homework.
5th – 7th hours (Factorization of Whole Numbers)
1. Finding the prime factorization of a whole number is finding the prime
numbers that multiply together to make that whole number. Use the
example on page 30 to explain.
2. Have students work on Exercises G and H on pages 24 and 25 of the
workbook as their homework.
3. We can find the prime factorization using division. Refer to page 31.
Always divide using the smallest prime numbers that divide it.
4. Have students work on Exercise I on page 25 of the workbook as their
homework.
5. We can find prime factorization using a factor tree. Refer to page 32 to
explain.
6. Ask students to try Practice on page 32. Discuss the answers with them.
8th – 9th hours (Highest Common Factor (HCF))
1. Common factors of two or more whole numbers are the factors for the
numbers. Use the example on page 33.
2. The highest common factor of two or more whole numbers is the
greatest common factor of the number. We can find the highest common
factor using three methods – by listing all the factors, by prime
factorization and by division algorithm.
Mathematics Pratomsuksa 6 – Lesson Plan 24
3. Use the examples on pages 33 to 35 to guide students to find the highest
common factor.
4. Write four numbers on the board and ask three students to find the
highest common factor using the three different methods.
5. Ask students to try Practice on page 35. Discuss the answers with them.
6. Have students work on Exercises J to L on pages 25 to 27 of the
workbook as their homework.
10th – 11th hours (Lowest Common Multiple (LCM))
1. Multiples of a whole numbers are the products of the number and
another whole number. Ask students to list multiples of 7, 9 and 11.
2. The common multiples of two or more whole numbers are the multiples
of both numbers. Ask students to list the common multiples of 2 and 3.
3. Use the examples on page 36 to explain.
4. Have students work on Exercise M on page 28 of the workbook as their
homework.
5. The lowest common multiple (LCM) of two or more whole numbers is
the common multiple with the least value.
6. We can find LCM by three methods – by listing the multiples, by prime
factorization and by division algorithm.
7. Use the examples on pages 36 to 38 to guide students to find LCM.
8. Ask students to try Practice on page 38. Discuss the answers with them.
9. Have students work on Exercises N to O on pages 28 and 29 of the
workbook as their homework.
12th hours (Using HCF and LCM to Solve Word Problems)
1. Use the examples on pages 39 and 40 to help students solve word
problems.
Mathematics Pratomsuksa 6 – Lesson Plan 25
2. Guide students when to use HCF and LCM to solve word problems
refereeing to the Math Tips on page 40.
3. Ask students to try Practice on page 41. Discuss the answers with them.
4. Have students work on Exercise P on pages 30 and 31 of the workbook
as their homework.
13th – 14th hours (Conclusion)
1. To test students’ understanding of this chapter, have them try Test
Yourself on page 42. Discuss the answers with them.
2. Have students work on Mastery Practice on pages 32 and 33 of the
workbook as their homework.
EEEmmmppphhhaaasssiii zzzeeeddd CCChhhaaarrr aaacccttteeerrr iii sssttt iii cccsss:::
1. Thinking skill
2. Problem-solving skill
3. Analysing skill
LLL eeeaaarrr nnniii nnnggg MMM aaattteeerrr iii aaalll sss:::
•••• Primary Education Smart Textbook Mathematics P6
•••• Primary Education Smart Workbook Mathematics P6
Mathematics Pratomsuksa 6 – Lesson Plan 26
LLLLLLLLeeeeeeeeaaaaaaaarrrrrrrrnnnnnnnniiiiiiiinnnnnnnngggggggg OOOOOOOOuuuuuuuuttttttttccccccccoooooooommmmmmmmeeeeeeee FFFFFFFFoooooooorrrrrrrrmmmmmmmm
Name-Surname: ............................................................................. No. ..................................
Pratomsuksa: .................................................................................... Date: ................................
Chapter 3 Factors
Explanation: Summary of learning outcomes
Feeling after learning this
chapter:
...........................................................
...........................................................
...........................................................
...........................................................
Contents that you need teacher
to explain further:
...............................................................
...............................................................
...............................................................
..............................................................
Knowledge gained from this
chapter:
...............................................................
...............................................................
...............................................................
...............................................................
Application of knowledge from
this chapter on your daily life:
...............................................................
................................................................
................................................................
................................................................
Contents that you like the
most in this chapter (give your
reason):
...........................................................
...........................................................
...........................................................
...........................................................
Exercises that you like and want
to be selected as the
outstanding work:
...............................................................
...............................................................
...............................................................
...............................................................
Chapter 3
Factors
Mathematics Pratomsuksa 6 – Lesson Plan 27
IIIIIIIIIIIInnnnnnnnnnnnddddddddddddiiiiiiiiiiiiccccccccccccaaaaaaaaaaaattttttttttttoooooooooooorrrrrrrrrrrrssssssssssss aaaaaaaaaaaannnnnnnnnnnndddddddddddd LLLLLLLLLLLLeeeeeeeeeeeeaaaaaaaaaaaarrrrrrrrrrrrnnnnnnnnnnnniiiiiiiiiiiinnnnnnnnnnnngggggggggggg AAAAAAAAAAAArrrrrrrrrrrreeeeeeeeeeeeaaaaaaaaaaaassssssssssss
CCCCCCCCCCCChhhhhhhhhhhhaaaaaaaaaaaapppppppppppptttttttttttteeeeeeeeeeeerrrrrrrrrrrr 444444444444 FFFFFFFFFFFFrrrrrrrrrrrraaaaaaaaaaaaccccccccccccttttttttttttiiiiiiiiiiiioooooooooooonnnnnnnnnnnnssssssssssss ((((((((((((111111111111333333333333 hhhhhhhhhhhhoooooooooooouuuuuuuuuuuurrrrrrrrrrrrssssssssssss))))))))))))
Indicator Learning Area
M1.1 Gr6/2 Compare and arrange sequence of fractions and decimals with not more than 3 places.
•••• Comparing fractions •••• Ordering fractions •••• Simplifying fractions
M1.2 Gr6/1 Add, subtract, multiply, divide and mix addition, subtraction, multiplication and division of fractions, mixed numbers and decimals, as well as be aware of validity of the answers.
•••• Addition and subtraction of fractions
•••• Multiplication of fractions •••• Division of fractions
M1.2 Gr6/2 Analyse and show method of finding answers to problems and mix-problems of cardinal numbers, fractions mixed numbers, decimals and percentages, as well as be aware of validity of the answers, and can construct problems involving cardinal numbers.
•••• Solving word problems involving fractions
•••• Combined operations of fractions
LLL eeeaaarrr nnniii nnnggg OOObbbjjj eeecccttt iii vvveeesss
Students will be taught to:
1. Compare fractions.
2. Order fractions.
3. Simplify fractions.
4. Understand the concept of addition and subtraction of fractions to solve
problems.
5. Understand the concept of multiplication and division of fractions to
solve problems.
Mathematics Pratomsuksa 6 – Lesson Plan 28
LLL eeeaaarrr nnniii nnnggg OOOuuuttt cccooommmeeesss
Students will be able to:
1. Use LCM to find equivalent fractions to compare.
2. Use LCM to find equivalent fractions to order.
3. Use HCF to simplify fractions.
4. Perform addition and subtraction involving
a. fractions with different denominators
b. mixed numbers
c. combined operations on fractions and mixed numbers
5. Perform multiplications involving
a. mixed numbers
b. three fractions
6. Perform division involving mixed numbers.
7. Solve word problems involving fractions.
8. Perform combined operations.
LLL eeeaaarrr nnniii nnnggg AAArrr eeeaaasss
•••• Comparing fractions
•••• Ordering fractions
•••• Simplifying fractions
•••• Addition and subtraction of fractions
•••• Multiplying fractions
•••• Division of fractions
•••• Solving word problems involving fractions
•••• Combined operations of fractions
Mathematics Pratomsuksa 6 – Lesson Plan 29
TTTeeeaaaccchhhiii nnnggg aaannnddd LLL eeeaaarrr nnniii nnnggg AAAcccttt iii vvviii ttt iii eeesss
1st hour (Comparing Fractions)
1. When we compare fractions with different numerators and
denominators, we should equalize the denominators first. We can do so
by finding the LCM for the denominators. Then, the fraction with
greater numerator is the greater fraction.
2. Use the example on page 44 to guide students to compare. You may use
the tips given on page 44.
3. Ask students to try Practice on page 44. Discuss the answers with them.
4. Have students work on Exercises A and B on page 36 of the workbook
as their homework.
2nd hour (Ordering Fractions)
1. When we want to arrange a set of fractions in an order, we need to
compare them first. These fractions should be converted into equivalents
fractions with the same denominator. Use LCM to look for the same
denominator.
2. Use the example on pages 45 and 46 to guide students to compare.
3. Ask students to try Practice on page 46. Discuss the answers with them.
4. Have students work on Exercises C and D on pages 37 and 38 of the
workbook as their homework.
3rd hour (Simplifying Fractions)
1. When simplifying a fraction, we can divide the numerator and
denominator with their HCF.
2. Use the example on page 47 to explain.
3. Ask students to try Practice on page 47. Discuss the answers with them.
4. Have students work on Exercise E on page 38 of the workbook as their
homework.
Mathematics Pratomsuksa 6 – Lesson Plan 30
4th – 5th hours (Addition and Subtraction of Fractions)
1. When we add or subtract fractions with different denominators, we need
to equalize the denominators first. We can use LCM to find the common
denominator.
2. Use the examples on pages 48 and 49 to guide students to add and
subtract.
3. When we add or subtract mixed numbers, we need to change them into
improper fractions first. Then find equivalent improper fractions that
have same denominator before adding or subtracting.
4. Use the examples on pages 49 and 50 to guide them.
5. Ask students to try Practice on page 50. Discuss the answers with them.
6. When performing any combined operations, we should always perform
the operations in the brackets.
7. Use the example on page 51.
8. Ask students to try Practice on page 51. Discuss the answers with them.
9. Have students work on Exercise F on pages 38 to 39 of the workbook as
their homework.
6th – 7th hours (Multiplication of Fractions)
1. When we multiply mixed numbers, always convert the mixed numbers
into improper numbers before multiplying.
2. Use the example on page 52 to explain.
3. Ask students to try Practice on page 52. Discuss the answers with them.
4. This is the same when we multiply three fractions.
5. Ask students to try Practice on page 53. Discuss the answers with them.
6. Have students work on Exercise G on page 40 of the workbook as their
homework.
Mathematics Pratomsuksa 6 – Lesson Plan 31
8th – 9th hours (Division of Fractions)
1. When we divide mixed numbers, we should convert them into improper
fractions first. Always remember to change the sign ÷ to × and the
divisor to its reciprocal. Then, only we multiply them.
2. Use the example on page 54 to explain.
3. Write a few division problems involving mixed numbers on the board
for the students to solve.
4. Ask students to try Practice on page 54. Discuss the answers with them.
5. Have students work on Exercise H on page 41 of the workbook as their
homework.
10th hour (Solving Word Problems Involving Fractions)
1. Use the example on page 55 to guide students on how to solve word
problems involving fractions.
2. Ask students to try Practice on page 55. Discuss the answers with them.
3. Have students work on Exercise I on page 42 of the workbook as their
homework.
11th hour (Combined Operations of Fractions)
1. When we perform combined operations, remember to perform those in
the brackets first.
2. Use the examples on page 56 to guide them.
3. Ask students to try Practice on page 56. Discuss the answers with them.
4. Have students work on Exercise J on page 43 of the workbook as their
homework.
5. Always remember when solving word problems involving combined
operations of fractions, we should analyse the question first and write
the number sentence. Refer to the example on page 57.
6. Ask students to try Practice on page 58. Discuss the answers with them.
Mathematics Pratomsuksa 6 – Lesson Plan 32
7. Have students work on Exercise K on page 44 of the workbook as their
homework.
12th – 13th hours (Conclusion)
1. To test students’ understanding of this chapter, have them try Test
Yourself on pages 59 and 60. Discuss the answers with them.
2. Have students work on Mastery Practice on pages 45 and 46 of the
workbook as their homework.
EEEmmmppphhhaaasssiii zzzeeeddd CCChhhaaarrr aaacccttteeerrr iii sssttt iii cccsss:::
1. Thinking skill
2. Problem-solving skill
3. Analysing skill
LLL eeeaaarrr nnniii nnnggg MMM aaattteeerrr iii aaalll sss:::
•••• Primary Education Smart Textbook Mathematics P6
•••• Primary Education Smart Workbook Mathematics P6
Mathematics Pratomsuksa 6 – Lesson Plan 33
LLLLLLLLeeeeeeeeaaaaaaaarrrrrrrrnnnnnnnniiiiiiiinnnnnnnngggggggg OOOOOOOOuuuuuuuuttttttttccccccccoooooooommmmmmmmeeeeeeee FFFFFFFFoooooooorrrrrrrrmmmmmmmm
Name-Surname: ............................................................................. No. ..................................
Pratomsuksa: .................................................................................... Date: ................................
Chapter 4 Fractions
Explanation: Summary of learning outcomes
Feeling after learning this
chapter:
...........................................................
...........................................................
...........................................................
...........................................................
Contents that you need teacher
to explain further:
...............................................................
...............................................................
...............................................................
..............................................................
Knowledge gained from this
chapter:
...............................................................
...............................................................
...............................................................
...............................................................
Application of knowledge from
this chapter on your daily life:
...............................................................
................................................................
................................................................
................................................................
Contents that you like the
most in this chapter (give your
reason):
...........................................................
...........................................................
...........................................................
...........................................................
Exercises that you like and want
to be selected as the
outstanding work:
...............................................................
...............................................................
...............................................................
...............................................................
Chapter 4
Fractions
Mathematics Pratomsuksa 6 – Lesson Plan 34
IIIIIIIIIIIInnnnnnnnnnnnddddddddddddiiiiiiiiiiiiccccccccccccaaaaaaaaaaaattttttttttttoooooooooooorrrrrrrrrrrrssssssssssss aaaaaaaaaaaannnnnnnnnnnndddddddddddd LLLLLLLLLLLLeeeeeeeeeeeeaaaaaaaaaaaarrrrrrrrrrrrnnnnnnnnnnnniiiiiiiiiiiinnnnnnnnnnnngggggggggggg AAAAAAAAAAAArrrrrrrrrrrreeeeeeeeeeeeaaaaaaaaaaaassssssssssss
CCCCCCCCCCCChhhhhhhhhhhhaaaaaaaaaaaapppppppppppptttttttttttteeeeeeeeeeeerrrrrrrrrrrr 555555555555 DDDDDDDDDDDDeeeeeeeeeeeecccccccccccciiiiiiiiiiiimmmmmmmmmmmmaaaaaaaaaaaallllllllllllssssssssssss ((((((((((((111111111111000000000000 hhhhhhhhhhhhoooooooooooouuuuuuuuuuuurrrrrrrrrrrrssssssssssss))))))))))))
Indicator Learning Area
M1.1 Gr6/1 Write and read decimals with not more than 3 places.
•••• Three-decimal place numbers
•••• Place values and digit values of digits in decimals
•••• Writing decimals in expanded form
M1.1 Gr6/2 Compare and arrange sequence of fractions and decimals with not more than 3 places.
•••• Comparing and ordering decimals
M1.1 Gr6/3 Write decimals in the form of fractions and write fraction in form of decimal.
•••• Decimals and fractions
M1.3 Gr6/2 Make estimates of decimals of not more than 3 places.
•••• Rounding off decimals
LLL eeeaaarrr nnniii nnnggg OOObbbjjj eeecccttt iii vvveeesss
Students will be taught to:
1. Read and write decimals.
2. Understand the concept of place value and value of each digit in
decimals.
3. Understand the relationship between decimals and fractions.
Mathematics Pratomsuksa 6 – Lesson Plan 35
LLL eeeaaarrr nnniii nnnggg OOOuuuttt cccooommmeeesss
Students will be able to:
1. Read and write decimals to thousandths.
2. State the place value and the value of each digit in a decimal.
3. Write decimals in expanded forms.
4. Compare the values of two given decimals.
5. Arrange decimals in order.
6. Represent decimals in fractions and vice versa.
7. Round off decimals.
LLL eeeaaarrr nnniii nnnggg AAArrr eeeaaasss
•••• Three-decimal place numbers
•••• Place values and digit values of digits in decimals
•••• Writing decimals in expanded form
•••• Comparing and ordering decimals
•••• Decimals and fractions
•••• Rounding off decimals
TTTeeeaaaccchhhiii nnnggg aaannnddd LLL eeeaaarrr nnniii nnnggg AAAcccttt iii vvviii ttt iii eeesss
1st hour (Three-Decimal Place Numbers)
1. Guide students on how to read and write three-decimal place numbers.
Explain that a three-decimal place number can be represented by a
fraction with 1000 as its denominator.
2. Use the example on page 62 to explain.
3. Write a few three-decimal place numbers on the board as ask students to
read and write them in words.
4. Ask students to try Question 1 in Practice on page 64. Discuss the
answers with them.
Mathematics Pratomsuksa 6 – Lesson Plan 36
5. Have students work on Exercises A and B on page 49 of the workbook
as their homework.
2nd hour (Place Values and Digit Values of Digits in Decimals)
1. Guide students to understand the place values and digit values of the
digits in a three-decimal place number. Use the example on page 63.
2. Write a few three-decimal place numbers and ask students to state the
place values and digit values of the digits.
3. Refer to the example on page 91.
4. Ask students to try Question 2 in Practice on page 64. Discuss the
answers with them.
3rd hour (Writing Decimals in Expanded Form & Comparing and
Ordering Decimals)
1. Use the example on page 64 to show students on how to write decimals
in expanded form.
2. Ask students to try Question 3 in Practice on page 64. Discuss the
answers with them.
3. Have students work on Exercise C on page 49 of the workbook as their
homework.
4. When we compare two decimals, always compare the whole number
parts first. If they are similar, then compare the digits in the tenths,
hundredths and thousandths. Refer to page 65.
5. Ask students to try Practice on page 65. Discuss the answers with them.
6. Use the examples on page 66 to guide students to order decimals.
7. Ask students to try Practice on page 66. Discuss the answers with them.
8. Have students work on Exercises D and E on page 50 of the workbook
as their homework.
Mathematics Pratomsuksa 6 – Lesson Plan 37
4th – 7th hours (Decimals and Fractions)
1. We can easily convert a decimal into a fraction by analyzing the number
of decimal place the decimal has. If the decimal has 2 decimal places
such as 12.89, then the fraction will have 100 as its denominator and its
fraction is 12100
89 . If the decimal has three-decimal place such as 0.108,
then the fraction has 1000 as its denominator and its fraction is 1000
108 .
2. Refer to page 67.
3. Ask students to try Practice on page 68. Discuss the answers with them.
4. Have students work on Exercise F on page 50 of the workbook as their
homework.
5. It is easy to convert fractions with 10, 100 and 1000 as their
denominators into decimals. Refer to the example on page 68.
6. Ask students to try Practice on page 69. Discuss the answers with them.
7. However, if the fractions or mixed numbers do not have 10, 100 or 1000
as their denominators, we will have to change to them into fractions
with those denominators before converting into decimals.
8. Use the examples on pages 69 and 70.
9. Ask students to try Practice on page 70. Discuss the answers with them.
10. Have students work on Exercise G on page 51 of the workbook as their
homework.
8th hour (Rounding Off Decimals)
1. When rounding off decimals, always look at the digit on the right of the
digit that will be rounded. Refer to pages 71 to 74.
2. Ask students to try Practice on page 74. Discuss the answers with them.
3. Have students work on Exercises H on page 51 of the workbook as their
homework.
Mathematics Pratomsuksa 6 – Lesson Plan 38
9th – 10th hours (Conclusion)
1. To test students’ understanding of this chapter, have them try Test
Yourself on page 75. Discuss the answers with them.
2. Have students work on Mastery Practice on pages 52 and 53 of the
workbook as their homework.
EEEmmmppphhhaaasssiii zzzeeeddd CCChhhaaarrr aaacccttteeerrr iii sssttt iii cccsss:::
1. Thinking skill
2. Problem-solving skill
3. Analysing skill
LLL eeeaaarrr nnniii nnnggg MMM aaattteeerrr iii aaalll sss:::
•••• Primary Education Smart Textbook Mathematics P6
•••• Primary Education Smart Workbook Mathematics P6
Mathematics Pratomsuksa 6 – Lesson Plan 39
LLLLLLLLeeeeeeeeaaaaaaaarrrrrrrrnnnnnnnniiiiiiiinnnnnnnngggggggg OOOOOOOOuuuuuuuuttttttttccccccccoooooooommmmmmmmeeeeeeee FFFFFFFFoooooooorrrrrrrrmmmmmmmm
Name-Surname: ............................................................................. No. ..................................
Pratomsuksa: .................................................................................... Date: ................................
Chapter 5 Decimals
Explanation: Summary of learning outcomes
Feeling after learning this
chapter:
...........................................................
...........................................................
...........................................................
...........................................................
Contents that you need teacher
to explain further:
...............................................................
...............................................................
...............................................................
..............................................................
Knowledge gained from this
chapter:
...............................................................
...............................................................
...............................................................
...............................................................
Application of knowledge from
this chapter on your daily life:
...............................................................
................................................................
................................................................
................................................................
Contents that you like the
most in this chapter (give your
reason):
...........................................................
...........................................................
...........................................................
...........................................................
Exercises that you like and want
to be selected as the
outstanding work:
...............................................................
...............................................................
...............................................................
...............................................................
Chapter 5
Decimals
Mathematics Pratomsuksa 6 – Lesson Plan 40
IIIIIIIIIIIInnnnnnnnnnnnddddddddddddiiiiiiiiiiiiccccccccccccaaaaaaaaaaaattttttttttttoooooooooooorrrrrrrrrrrrssssssssssss aaaaaaaaaaaannnnnnnnnnnndddddddddddd LLLLLLLLLLLLeeeeeeeeeeeeaaaaaaaaaaaarrrrrrrrrrrrnnnnnnnnnnnniiiiiiiiiiiinnnnnnnnnnnngggggggggggg AAAAAAAAAAAArrrrrrrrrrrreeeeeeeeeeeeaaaaaaaaaaaassssssssssss
CCCCCCCCCCCChhhhhhhhhhhhaaaaaaaaaaaapppppppppppptttttttttttteeeeeeeeeeeerrrrrrrrrrrr 666666666666 AAAAAAAAAAAAddddddddddddddddddddddddiiiiiiiiiiiittttttttttttiiiiiiiiiiiioooooooooooonnnnnnnnnnnn,,,,,,,,,,,, SSSSSSSSSSSSuuuuuuuuuuuubbbbbbbbbbbbttttttttttttrrrrrrrrrrrraaaaaaaaaaaaccccccccccccttttttttttttiiiiiiiiiiiioooooooooooonnnnnnnnnnnn aaaaaaaaaaaannnnnnnnnnnndddddddddddd MMMMMMMMMMMMuuuuuuuuuuuullllllllllllttttttttttttiiiiiiiiiiiipppppppppppplllllllllllliiiiiiiiiiiiccccccccccccaaaaaaaaaaaattttttttttttiiiiiiiiiiiioooooooooooonnnnnnnnnnnn
ooooooooooooffffffffffff DDDDDDDDDDDDeeeeeeeeeeeecccccccccccciiiiiiiiiiiimmmmmmmmmmmmaaaaaaaaaaaallllllllllllssssssssssss ((((((((((((111111111111111111111111 hhhhhhhhhhhhoooooooooooouuuuuuuuuuuurrrrrrrrrrrrssssssssssss))))))))))))
Indicator Learning Area
M1.2 Gr6/1 Add, subtract, multiply, divide
and mix addition, subtraction, multiplication
and division of fractions, mixed numbers and
decimals, as well as be aware of validity of
the answers.
•••• Addition of decimals
•••• Subtraction of decimals
•••• Multiplication of
decimals
M1.2 Gr6/2 Analyse and show method of
finding answers to problems and mix-
problems of cardinal numbers, fractions
mixed numbers, decimals and percentages, as
well as be aware of validity of the answers,
and can construct problems involving cardinal
numbers.
•••• Using addition,
subtraction and
multiplication of
decimals to solve word
problems
LLL eeeaaarrr nnniii nnnggg OOObbbjjj eeecccttt iii vvveeesss
Students will be taught to:
1. Understand the concept of addition and subtraction of decimals to solve
problems.
2. Understand the concept of multiplication of decimals to solve problems.
LLL eeeaaarrr nnniii nnnggg OOOuuuttt cccooommmeeesss
Students will be able to:
1. Add three-decimal place numbers.
2. Add three decimals.
Mathematics Pratomsuksa 6 – Lesson Plan 41
3. Subtract three-decimal place numbers.
4. Multiply three-decimal place numbers by whole numbers.
5. Multiply decimals by decimals.
6. Use addition, subtraction and multiplication of decimals to solve word
problems.
LLL eeeaaarrr nnniii nnnggg AAArrr eeeaaasss
•••• Addition of decimals
•••• Subtraction of decimals
•••• Multiplication of decimals
•••• Using addition, subtraction and multiplication of decimals to solve
word problems
TTTeeeaaaccchhhiii nnnggg aaannnddd LLL eeeaaarrr nnniii nnnggg AAAcccttt iii vvviii ttt iii eeesss
1st – 2nd hours (Addition of Decimals)
1. Adding two three-decimal place numbers is just like any addition of two
two-decimal numbers. We need to align the digits by their place values
before adding.
2. Refer to page 77 to guide them to add.
3. Ask students to try Practice on page 77. Discuss the answers with them.
4. Have students work on Exercises A and B on pages 55 and 56 of the
workbook as their homework.
5. It is the same when we add up three decimals. Make sure all the digits
are aligned according to their place values.
6. Ask students to try Practice on page 78. Discuss the answers with them.
7. Have students work on Exercise C on page 56 of the workbook as their
homework.
Mathematics Pratomsuksa 6 – Lesson Plan 42
3rd – 4th hours (Subtraction of Decimals)
1. When comes to subtraction of decimals, we have to align the digits
based on their place value too before subtracting.
2. Use the examples on page 79 to guide students.
3. Write a few subtraction problems involving decimals on the board and
have students solve them.
4. Ask students to try Practice on page 79. Discuss the answers with them.
5. Have students work on Exercise D on page 57 of the workbook as their
homework.
5th – 7th hours (Multiplication of Decimals)
1. Helps students to recall what multiplication means.
2. We can multiply decimals by whole numbers using different method -
by repeated addition, by converting the decimals into fractions first
before multiply and by multiplying as if they are whole numbers.
3. Use the examples on pages 80 and 81 to guide them.
4. When we multiply decimals by 10, 100 or 1000, we move the decimal
point to the right by 1, 2 or 3 places respectively.
5. Use the examples on pages 81 and 82.
6. Ask students to try Practice on page 82. Discuss the answers with them.
7. Use the examples on pages 82 and 83 to guide students to multiple
decimals by multiples of 10, 100 and 1000.
8. Use the examples on page 83 to guide students to multiple decimals of 3
or less decimal places by whole numbers.
9. Ask students to try Practice on page 83. Discuss the answers with them.
10. When we multiply decimals by decimals, we need to extra caution with
the positioning of the decimal point in the product.
11. You may use the examples on page 84 to explain.
12. Ask students to try Practice on page 84. Discuss the answers with them.
Mathematics Pratomsuksa 6 – Lesson Plan 43
13. Have students work on Exercises E and F on pages 58 and 59 of the
workbook as their homework.
8th – 9th hours (Using Addition, Subtraction and Multiplication of
Decimals to Solve Word Problems)
1. We can use addition, subtraction and multiplication to solve word
problems involving decimals.
2. Refer to the example on page 85 to guide students.
3. Ask students to try Practice on page 86. Discuss the answers with them.
4. Have students work on Exercise G on pages 60 and 61 of the workbook
as their homework.
10th – 11th hours (Conclusion)
1. To test students’ understanding of this chapter, have them try Test
Yourself on page 87. Discuss the answers with them.
2. Have students work on Mastery Practice on pages 62 and 63 of the
workbook as their homework.
EEEmmmppphhhaaasssiii zzzeeeddd CCChhhaaarrr aaacccttteeerrr iii sssttt iii cccsss:::
1. Thinking skill
2. Problem-solving skill
3. Analysing skill
LLL eeeaaarrr nnniii nnnggg MMM aaattteeerrr iii aaalll sss:::
•••• Primary Education Smart Textbook Mathematics P6
•••• Primary Education Smart Workbook Mathematics P6
Mathematics Pratomsuksa 6 – Lesson Plan 44
LLLLLLLLeeeeeeeeaaaaaaaarrrrrrrrnnnnnnnniiiiiiiinnnnnnnngggggggg OOOOOOOOuuuuuuuuttttttttccccccccoooooooommmmmmmmeeeeeeee FFFFFFFFoooooooorrrrrrrrmmmmmmmm
Name-Surname: ............................................................................. No. ..................................
Pratomsuksa: .................................................................................... Date: ................................
Chapter 6 Addition, Subtraction and Multiplication of Decimals
Explanation: Summary of learning outcomes
Feeling after learning this
chapter:
...........................................................
...........................................................
...........................................................
...........................................................
Contents that you need teacher
to explain further:
...............................................................
...............................................................
...............................................................
..............................................................
Knowledge gained from this
chapter:
...............................................................
...............................................................
...............................................................
...............................................................
Application of knowledge from
this chapter on your daily life:
...............................................................
................................................................
................................................................
................................................................
Contents that you like the
most in this chapter (give your
reason):
...........................................................
...........................................................
...........................................................
...........................................................
Exercises that you like and want
to be selected as the
outstanding work:
...............................................................
...............................................................
...............................................................
...............................................................
Chapter 6
Addition, Subtraction
and Multiplication of
Decimals
Mathematics Pratomsuksa 6 – Lesson Plan 45
IIIIIIIIIIIInnnnnnnnnnnnddddddddddddiiiiiiiiiiiiccccccccccccaaaaaaaaaaaattttttttttttoooooooooooorrrrrrrrrrrrssssssssssss aaaaaaaaaaaannnnnnnnnnnndddddddddddd LLLLLLLLLLLLeeeeeeeeeeeeaaaaaaaaaaaarrrrrrrrrrrrnnnnnnnnnnnniiiiiiiiiiiinnnnnnnnnnnngggggggggggg AAAAAAAAAAAArrrrrrrrrrrreeeeeeeeeeeeaaaaaaaaaaaassssssssssss
CCCCCCCCCCCChhhhhhhhhhhhaaaaaaaaaaaapppppppppppptttttttttttteeeeeeeeeeeerrrrrrrrrrrr 777777777777 DDDDDDDDDDDDiiiiiiiiiiiivvvvvvvvvvvviiiiiiiiiiiissssssssssssiiiiiiiiiiiioooooooooooonnnnnnnnnnnn ooooooooooooffffffffffff DDDDDDDDDDDDeeeeeeeeeeeecccccccccccciiiiiiiiiiiimmmmmmmmmmmmaaaaaaaaaaaallllllllllllssssssssssss ((((((((((((111111111111000000000000 hhhhhhhhhhhhoooooooooooouuuuuuuuuuuurrrrrrrrrrrrssssssssssss))))))))))))
Indicator Learning Area
M1.2 Gr6/1 Add, subtract, multiply, divide and mix addition, subtraction, multiplication and division of fractions, mixed numbers and decimals, as well as be aware of validity of the answers.
•••• Dividing decimals by whole numbers
•••• Converting fractions to decimals
•••• Dividing decimals by decimals
M1.2 Gr6/2 Analyse and show method of finding answers to problems and mix-problems of cardinal numbers, fractions mixed numbers, decimals and percentages, as well as be aware of validity of the answers, and can construct problems involving cardinal numbers.
•••• Using division of decimals to solve word problems
•••• Combined operations of decimals
LLL eeeaaarrr nnniii nnnggg OOObbbjjj eeecccttt iii vvveeesss
Students will be taught to:
1. Understand the concept of division of decimals to solve problems.
LLL eeeaaarrr nnniii nnnggg OOOuuuttt cccooommmeeesss
Students will be able to:
1. Divide decimals by whole numbers.
2. Convert fraction to decimals by dividing.
3. Divide decimals by decimals.
4. Use division of decimals to solve word problems
5. Perform combined operation of decimals.
Mathematics Pratomsuksa 6 – Lesson Plan 46
LLL eeeaaarrr nnniii nnnggg AAArrr eeeaaasss
•••• Dividing decimals by whole numbers
•••• Converting fractions to decimals
•••• Dividing decimals by decimals
•••• Using division of decimals to solve word problems
•••• Combined operations of decimals
TTTeeeaaaccchhhiii nnnggg aaannnddd LLL eeeaaarrr nnniii nnnggg AAAcccttt iii vvviii ttt iii eeesss
1st – 2nd hours (Dividing Decimals by Whole Numbers)
1. We can divide decimals by converting the decimals into fractions first.
Then we divide the fractions. Remember to change the sign ÷ into × and
the divisor into its reciprocal. Refer to page 89.
2. We can also divide decimals using long division. Always align the
decimal points of the dividend and the quotient.
3. Refer to pages 90 and 91.
4. Ask students to try Practice on page 92. Discuss the answers with them.
5. Have students work on Exercise A on pages 54 and 66 of the workbook
as their homework.
6. For some numbers when divided by another number, the quotients we
get might be repeating decimals or non-terminating decimals. Then, we
need to round off the quotient.
7. Use the examples on pages 92 to 93 to explain.
8. Ask students to try Practice on page 93. Discuss the answers with them.
9. Have students work on Exercise B on page 67 of the workbook as their
homework.
3rd hour (Converting Fractions to Decimals)
1. When we convert a fraction into a decimal, we can divide its numerator
by its denominator.
Mathematics Pratomsuksa 6 – Lesson Plan 47
2. Use the example on page 94.
3. Ask students to try Practice on page 94. Discuss the answers with them.
4. Have students work on Exercise C on page 68 of the workbook as their
homework.
4th – 5th hours (Dividing Decimals by Decimals)
1. When we divide a decimal by a decimal, we can convert them into
fractions with denominators of 10, 100 or 1000 before dividing.
2. We can also convert the decimals into fractions and then multiply both
the numerator and denominator with 10, 100 or 1000 to make the
denominator a whole number before dividing.
3. Refer to page 95.
4. Write a few division problems involving decimals on the board and have
students solve them.
5. Ask students to try Practice on page 95. Discuss the answers with them.
6. Have students work on Exercise D on pages 69 and 70 of the workbook
as their homework.
6th hour (Using Division of Decimal to Solve Word Problems)
1. Whenever we need to solve any word problem, always analyze the
problem and write the number sentence before solving it.
2. Use the example on page 96 to explain.
3. Ask students to try Practice on page 97. Discuss the answers with them.
4. Have students work on Exercise E on page 71 of the workbook as their
homework.
Mathematics Pratomsuksa 6 – Lesson Plan 48
7th – 8th hours (Combined Operations of Decimals)
1. Always do the operation in the brackets first for any combined
operations. We can always round up the numbers to check if the answers
obtained are reasonable.
2. Use the example on pages 97 and 98.
3. Ask students to try Practice on page 98. Discuss the answers with them.
4. Have students work on Exercise F on page 72 of the workbook as their
homework.
5. We can also use combined operation to solve word problems.
6. Use the example on page 99.
7. Ask students to try Practice on page 100. Discuss the answers with
them.
8. Have students work on Exercise G on page 73 of the workbook as their
homework.
9th – 10th hours (Conclusion)
1. To test students’ understanding of this chapter, have them try Test
Yourself on page 101. Discuss the answers with them.
2. Have students work on Mastery Practice on pages 74 and 75 of the
workbook as their homework.
EEEmmmppphhhaaasssiii zzzeeeddd CCChhhaaarrr aaacccttteeerrr iii sssttt iii cccsss:::
1. Thinking skill
2. Problem-solving skill
3. Analysing skill
LLL eeeaaarrr nnniii nnnggg MMM aaattteeerrr iii aaalll sss:::
•••• Primary Education Smart Textbook Mathematics P6
•••• Primary Education Smart Workbook Mathematics P6
Mathematics Pratomsuksa 6 – Lesson Plan 49
LLLLLLLLeeeeeeeeaaaaaaaarrrrrrrrnnnnnnnniiiiiiiinnnnnnnngggggggg OOOOOOOOuuuuuuuuttttttttccccccccoooooooommmmmmmmeeeeeeee FFFFFFFFoooooooorrrrrrrrmmmmmmmm
Name-Surname: ............................................................................. No. ..................................
Pratomsuksa: .................................................................................... Date: ................................
Chapter 7 Division of Decimals
Explanation: Summary of learning outcomes
Feeling after learning this
chapter:
...........................................................
...........................................................
...........................................................
...........................................................
Contents that you need teacher
to explain further:
...............................................................
...............................................................
...............................................................
..............................................................
Knowledge gained from this
chapter:
...............................................................
...............................................................
...............................................................
...............................................................
Application of knowledge from
this chapter on your daily life:
...............................................................
................................................................
................................................................
................................................................
Contents that you like the
most in this chapter (give your
reason):
...........................................................
...........................................................
...........................................................
...........................................................
Exercises that you like and want
to be selected as the
outstanding work:
...............................................................
...............................................................
...............................................................
...............................................................
Chapter 7
Division of
Decimals
Mathematics Pratomsuksa 6 – Lesson Plan 50
IIIIIIIIIIIInnnnnnnnnnnnddddddddddddiiiiiiiiiiiiccccccccccccaaaaaaaaaaaattttttttttttoooooooooooorrrrrrrrrrrrssssssssssss aaaaaaaaaaaannnnnnnnnnnndddddddddddd LLLLLLLLLLLLeeeeeeeeeeeeaaaaaaaaaaaarrrrrrrrrrrrnnnnnnnnnnnniiiiiiiiiiiinnnnnnnnnnnngggggggggggg AAAAAAAAAAAArrrrrrrrrrrreeeeeeeeeeeeaaaaaaaaaaaassssssssssss
CCCCCCCCCCCChhhhhhhhhhhhaaaaaaaaaaaapppppppppppptttttttttttteeeeeeeeeeeerrrrrrrrrrrr 888888888888 PPPPPPPPPPPPeeeeeeeeeeeerrrrrrrrrrrrcccccccccccceeeeeeeeeeeennnnnnnnnnnnttttttttttttaaaaaaaaaaaaggggggggggggeeeeeeeeeeee ((((((((((((111111111111555555555555 hhhhhhhhhhhhoooooooooooouuuuuuuuuuuurrrrrrrrrrrrssssssssssss))))))))))))
Indicator Learning Area
M1.2 Gr6/2 Analyse and show method of
finding answers to problems and mix-
problems of cardinal numbers, fractions
mixed numbers, decimals and percentages,
as well as be aware of validity of the
answers, and can construct problems
involving cardinal numbers.
•••• Finding the percentage of a
number out of another
•••• Solving problems involving
percentage
•••• Simple interest
LLL eeeaaarrr nnniii nnnggg OOObbbjjj eeecccttt iii vvveeesss
Students will be taught to:
1. Perform computation and solve problems involving percentages.
LLL eeeaaarrr nnniii nnnggg OOOuuuttt cccooommmeeesss
Students will be able to:
1. Find the percentage of a number out of another.
2. Solve problems involving percentage.
3. Solve problems involving simple interest.
LLL eeeaaarrr nnniii nnnggg AAArrr eeeaaasss
•••• Finding the percentage of a number out of another
•••• Solving problems involving percentage
•••• Simple interest
Mathematics Pratomsuksa 6 – Lesson Plan 51
TTTeeeaaaccchhhiii nnnggg aaannnddd LLL eeeaaarrr nnniii nnnggg AAAcccttt iii vvviii ttt iii eeesss
1st – 2nd hours (Finding the Percentage of a Number Out of Another)
1. If a student gets 80 marks out of the full marks of 100, what is the mark
obtained in percentage? We will convert the known terms into a fraction
with 80 as the numerator and 100 as the denominator and multiply this
fraction with 100%.
2. Refer to page 103.
3. Ask students to try Practice on page 104. Discuss the answers with
them.
4. Have students work on Exercises A to D on pages 77 to 79 of the
workbook as their homework.
3rd – 11th hours (Solving Problems Involving Percentage)
1. Students need to understand the meaning of a percentage of profit and a
percentage of loss. These percentages are based on the cost price, not
the selling price. Refer to the notes on page 104.
2. Refer to the examples on pages 105 to 106 to find the selling price using
the cost price. There are a few methods to solve them and the
understanding of the whole concept is essential.
3. Ask students to try Practice on page 107. Discuss the answers with
them.
4. We can find the cost price using the selling price and the percentage of
loss and profit.
5. Refer to the examples on pages 107and 108.
6. Ask students to try Practice on page 108. Discuss the answers with
them.
7. Have students work on Exercise E and F on pages 80 and 81 of the
workbook as their homework.
Mathematics Pratomsuksa 6 – Lesson Plan 52
8. Explain the meaning of discount. Discount is usually presented by
percentage.
9. Refer to pages 109 and 110 for explanation.
10. Ask students to try Practice on page 110. Discuss the answers with
them.
11. Have students work on Exercise G on page 82 of the workbook as their
homework.
12. We can find profit, loss or discount percentage with the provided
information.
13. Use the examples on pages 111 and 112 to guide students.
14. Ask students to try Practice on page 112. Discuss the answers with
them.
15. Have students work on Exercise H on page 83 of the workbook as their
homework.
16. Sometimes there could be more than one transactions. Refer to the
examples on pages 113 and 114.
17. Ask students to try Practice on page 115. Discuss the answers with
them.
18. Have students work on Exercise I on page 84 of the workbook as their
homework.
12th – 13th hours (Simple Interest)
1. Explain what interest is. What are the factors that affect the amount of
interest gained or imposed? What is simple interest? Refer to the text on
pages 115 and 116.
2. We can calculate the interest for a year by multiplying the interest rate
by the amount. Refer to the examples on pages 116 and 117.
3. Ask students to try Practice on page 117. Discuss the answers with
them.
Mathematics Pratomsuksa 6 – Lesson Plan 53
4. We can also find the interest for a period less than a year. Refer to the
example on page 118.
5. Ask students to try Practice on page 119. Discuss the answers with
them.
6. Have students work on Exercise J on page 85 of the workbook as their
homework.
14th – 15th hours (Conclusion)
1. To test students’ understanding of this chapter, have them try Test
Yourself on page 120. Discuss the answers with them.
2. Have students work on Mastery Practice on pages 86 and 87 of the
workbook as their homework.
EEEmmmppphhhaaasssiii zzzeeeddd CCChhhaaarrr aaacccttteeerrr iii sssttt iii cccsss:::
1. Thinking skill
2. Problem-solving skill
3. Analysing skill
LLL eeeaaarrr nnniii nnnggg MMM aaattteeerrr iii aaalll sss:::
•••• Primary Education Smart Textbook Mathematics P6
•••• Primary Education Smart Workbook Mathematics P6
Mathematics Pratomsuksa 6 – Lesson Plan 54
LLLLLLLLeeeeeeeeaaaaaaaarrrrrrrrnnnnnnnniiiiiiiinnnnnnnngggggggg OOOOOOOOuuuuuuuuttttttttccccccccoooooooommmmmmmmeeeeeeee FFFFFFFFoooooooorrrrrrrrmmmmmmmm
Name-Surname: ............................................................................. No. ..................................
Pratomsuksa: .................................................................................... Date: ................................
Chapter 8 Percentage
Explanation: Summary of learning outcomes
Feeling after learning this
chapter:
...........................................................
...........................................................
...........................................................
...........................................................
Contents that you need teacher
to explain further:
...............................................................
...............................................................
...............................................................
..............................................................
Knowledge gained from this
chapter:
...............................................................
...............................................................
...............................................................
...............................................................
Application of knowledge from
this chapter on your daily life:
...............................................................
................................................................
................................................................
................................................................
Contents that you like the
most in this chapter (give your
reason):
...........................................................
...........................................................
...........................................................
...........................................................
Exercises that you like and want
to be selected as the
outstanding work:
...............................................................
...............................................................
...............................................................
...............................................................
Chapter 8
Percentage
Mathematics Pratomsuksa 6 – Lesson Plan 55
IIIIIIIIIIIInnnnnnnnnnnnddddddddddddiiiiiiiiiiiiccccccccccccaaaaaaaaaaaattttttttttttoooooooooooorrrrrrrrrrrrssssssssssss aaaaaaaaaaaannnnnnnnnnnndddddddddddd LLLLLLLLLLLLeeeeeeeeeeeeaaaaaaaaaaaarrrrrrrrrrrrnnnnnnnnnnnniiiiiiiiiiiinnnnnnnnnnnngggggggggggg AAAAAAAAAAAArrrrrrrrrrrreeeeeeeeeeeeaaaaaaaaaaaassssssssssss
CCCCCCCCCCCChhhhhhhhhhhhaaaaaaaaaaaapppppppppppptttttttttttteeeeeeeeeeeerrrrrrrrrrrr 999999999999 DDDDDDDDDDDDiiiiiiiiiiiirrrrrrrrrrrreeeeeeeeeeeeccccccccccccttttttttttttiiiiiiiiiiiioooooooooooonnnnnnnnnnnnssssssssssss aaaaaaaaaaaannnnnnnnnnnndddddddddddd DDDDDDDDDDDDiiiiiiiiiiiiaaaaaaaaaaaaggggggggggggrrrrrrrrrrrraaaaaaaaaaaammmmmmmmmmmmssssssssssss ((((((((((((111111111111000000000000 hhhhhhhhhhhhoooooooooooouuuuuuuuuuuurrrrrrrrrrrrssssssssssss))))))))))))
Indicator Learning Area
M2.1 Gr6/1 Explain a route or indicate
positions of various objects by specifying
direction and real distance from pictures,
maps and diagrams.
M2.2 Gr6/3 Draw diagrams showing
positions of various objects and diagrams
showing travel routes.
•••• Directions
•••• Diagrams
LLL eeeaaarrr nnniii nnnggg OOObbbjjj eeecccttt iii vvveeesss
Students will be taught to:
1. Understand the cardinal and ordinal directions.
2. Understand route or position shown from pictures, maps and diagrams.
LLL eeeaaarrr nnniii nnnggg OOOuuuttt cccooommmeeesss
Students will be able to:
1. State and the cardinal and ordinal directions.
2. Describe locations using directions.
3. Find the actual measurements or measurements in pictures, maps and
diagrams based on the given scale.
4. Read given diagrams.
5. Draw diagrams based on given information.
Mathematics Pratomsuksa 6 – Lesson Plan 56
LLL eeeaaarrr nnniii nnnggg AAArrr eeeaaasss
•••• Directions
•••• Diagrams
TTTeeeaaaccchhhiii nnnggg aaannnddd LLL eeeaaarrr nnniii nnnggg AAAcccttt iii vvviii ttt iii eeesss
1st – 4th hours (Directions)
1. Explain the four cardinal directions – North, South, East and West. You
may use a compass to show the directions. Guide students to realise the
sizes of angles between the directions.
2. Explain also the four ordinal directions – North-east, South-east, South-
west and North-west. Guide students to realise the sizes of angles
between the directions.
3. Have students work on Exercises A and B on page 95 of the workbook
as their homework.
4. We can use these directions to describe locations. Use the example on
page 123.
5. Ask students to try Practice on page 124. Discuss the answers with
them.
6. Have students work on Exercises C to E on pages 96 and 97 of the
workbook as their homework.
5th – 8th hours (Diagrams)
1. Explain the meaning of scale. A scale is used to indicate the relative size
of drawn image compared to the size of the original object. Be careful
with the sizes.
2. Refer to the examples shown on pages 124 and 125.
3. Ask students to try Practice on page 125. Discuss the answers with
them.
Mathematics Pratomsuksa 6 – Lesson Plan 57
4. Have students work on Exercise F on page 98 of the workbook as their
homework.
5. When we read diagrams or maps, we should be able to identify the sizes
and locations of the objects and direction indicated on them.
6. Use the example on page 126 to guide students to read a diagram.
7. Ask students to try Practice on page 127. Discuss the answers with
them.
8. Have students work on Exercise G on pages 98 and 99 of the workbook
as their homework.
9. When we want to draw a diagram, we need to know the actual size of
the object and the suitable scale for the diagram.
10. Refer to the example shown on pages 128 and 129.
11. Ask students to try Practice on page 130. Discuss the answers with
them.
12. We can draw a diagram of a journey using scale.
13. Use the example on page 131 to explain.
14. Ask students to try Practice on page 131. Discuss the answers with
them.
15. We can also draw a summarized diagram. See page 132.
16. Ask students to try Practice on page 132. Discuss the answers with
them.
17. Have students work on Exercise H on page 99 of the workbook as their
homework.
9th – 10th hours (Conclusion)
1. To test students’ understanding of this chapter, have them try Test
Yourself on page 133. Discuss the answers with them.
2. Have students work on Mastery Practice on pages 100 and 101 of the
workbook as their homework.
Mathematics Pratomsuksa 6 – Lesson Plan 58
EEEmmmppphhhaaasssiii zzzeeeddd CCChhhaaarrr aaacccttteeerrr iii sssttt iii cccsss:::
1. Thinking skill
2. Problem-solving skill
3. Analysing skill
LLL eeeaaarrr nnniii nnnggg MMM aaattteeerrr iii aaalll sss:::
•••• Primary Education Smart Textbook Mathematics P6
•••• Primary Education Smart Workbook Mathematics P6
•••• Compass
Mathematics Pratomsuksa 6 – Lesson Plan 59
LLLLLLLLeeeeeeeeaaaaaaaarrrrrrrrnnnnnnnniiiiiiiinnnnnnnngggggggg OOOOOOOOuuuuuuuuttttttttccccccccoooooooommmmmmmmeeeeeeee FFFFFFFFoooooooorrrrrrrrmmmmmmmm
Name-Surname: ............................................................................. No. ..................................
Pratomsuksa: .................................................................................... Date: ................................
Chapter 9 Directions and Diagrams
Explanation: Summary of learning outcomes
Feeling after learning this
chapter:
...........................................................
...........................................................
...........................................................
...........................................................
Contents that you need teacher
to explain further:
...............................................................
...............................................................
...............................................................
..............................................................
Knowledge gained from this
chapter:
...............................................................
...............................................................
...............................................................
...............................................................
Application of knowledge from
this chapter on your daily life:
...............................................................
................................................................
................................................................
................................................................
Contents that you like the
most in this chapter (give your
reason):
...........................................................
...........................................................
...........................................................
...........................................................
Exercises that you like and want
to be selected as the
outstanding work:
...............................................................
...............................................................
...............................................................
...............................................................
Chapter 9
Directions and
Diagrams
Mathematics Pratomsuksa 6 – Lesson Plan 60
IIIIIIIIIIIInnnnnnnnnnnnddddddddddddiiiiiiiiiiiiccccccccccccaaaaaaaaaaaattttttttttttoooooooooooorrrrrrrrrrrrssssssssssss aaaaaaaaaaaannnnnnnnnnnndddddddddddd LLLLLLLLLLLLeeeeeeeeeeeeaaaaaaaaaaaarrrrrrrrrrrrnnnnnnnnnnnniiiiiiiiiiiinnnnnnnnnnnngggggggggggg AAAAAAAAAAAArrrrrrrrrrrreeeeeeeeeeeeaaaaaaaaaaaassssssssssss
CCCCCCCCCCCChhhhhhhhhhhhaaaaaaaaaaaapppppppppppptttttttttttteeeeeeeeeeeerrrrrrrrrrrr 111111111111000000000000 AAAAAAAAAAAAnnnnnnnnnnnngggggggggggglllllllllllleeeeeeeeeeeessssssssssss aaaaaaaaaaaannnnnnnnnnnndddddddddddd LLLLLLLLLLLLiiiiiiiiiiiinnnnnnnnnnnneeeeeeeeeeeessssssssssss SSSSSSSSSSSSeeeeeeeeeeeeggggggggggggmmmmmmmmmmmmeeeeeeeeeeeennnnnnnnnnnnttttttttttttssssssssssss ((((((((((((999999999999 hhhhhhhhhhhhoooooooooooouuuuuuuuuuuurrrrrrrrrrrrssssssssssss))))))))))))
Indicator Learning Area
-
•••• Measuring angles
•••• Drawing angles
•••• Angles of equal sizes
•••• Dividing angles and line
segments in half
LLL eeeaaarrr nnniii nnnggg OOObbbjjj eeecccttt iii vvveeesss
Students will be taught to:
1. Measure and draw angles.
2. Divide angles and line segments in half
LLL eeeaaarrr nnniii nnnggg OOOuuuttt cccooommmeeesss
Students will be able to:
1. Measure angles using a protractor.
2. Draw angles using a protractor and a ruler.
3. Identify angles of equal size.
4. Divide angles and line segments in half.
LLL eeeaaarrr nnniii nnnggg AAArrr eeeaaasss
•••• Measuring angles
•••• Drawing angles
•••• Angles of equal sizes
•••• Dividing angles and line segments in half
Mathematics Pratomsuksa 6 – Lesson Plan 61
TTTeeeaaaccchhhiii nnnggg aaannnddd LLL eeeaaarrr nnniii nnnggg AAAcccttt iii vvviii ttt iii eeesss
1st – 2nd hours (Measuring Angles)
1. We use a protractor to measure angles.
2. Use the examples on page 135 to guide students on how to measure the
angles.
3. Ask students to try Practice on page 136. Discuss the answers with
them.
4. Have students work on Exercise A on page 103 of the workbook as their
homework.
3rd – 4th hours (Drawing Angles)
1. Use the examples on pages 136 and 137 to guide students on how to
draw angles using a protractor.
2. Ask students to draw a few angles with the given sizes.
3. Ask students to try Practice on page 137. Discuss the answers with
them.
4. Have students work on Exercise B on page 104 of the workbook as their
homework.
5th hour (Angles of Equal Sizes)
1. We can use a protractor to identify the angles of same sizes.
2. Use the example on page 139.
3. Ask students to try Practice on page 138. Discuss the answers with
them.
4. Have students work on Exercise C on page 105 of the workbook as their
homework.
Mathematics Pratomsuksa 6 – Lesson Plan 62
6th – 7th hours (Dividing Angles and Line Segments in Half)
1. We can divide angles into halves using a protractor. We measure the
angle and determine the halved size of the angle. Then we draw a line to
halve the angle.
2. Refer to page 139.
3. We can also use a compass to do so. Refer to the example on page 140.
4. Ask students to try Practice on page 141. Discuss the answers with
them.
5. Have students work on Exercises D and E on page 106 of the workbook
as their homework.
6. We can also halve a line segment using a ruler or a compass. Refer to
pages 141 and 142.
7. Ask students to try Practice on page 142. Discuss the answers with
them.
8. Have students work on Exercise F on page 107 of the workbook as their
homework.
8th – 9th hours (Conclusion)
1. To test students’ understanding of this chapter, have them try Test
Yourself on page 143. Discuss the answers with them.
2. Have students work on Mastery Practice on pages 108 to 110 of the
workbook as their homework.
EEEmmmppphhhaaasssiii zzzeeeddd CCChhhaaarrr aaacccttteeerrr iii sssttt iii cccsss:::
1. Thinking skill
2. Problem-solving skill
3. Analysing skill
Mathematics Pratomsuksa 6 – Lesson Plan 63
LLL eeeaaarrr nnniii nnnggg MMM aaattteeerrr iii aaalll sss:::
•••• Primary Education Smart Textbook Mathematics P6
•••• Primary Education Smart Workbook Mathematics P6
•••• A pair of compasses
•••• Protractor
Mathematics Pratomsuksa 6 – Lesson Plan 64
LLLLLLLLeeeeeeeeaaaaaaaarrrrrrrrnnnnnnnniiiiiiiinnnnnnnngggggggg OOOOOOOOuuuuuuuuttttttttccccccccoooooooommmmmmmmeeeeeeee FFFFFFFFoooooooorrrrrrrrmmmmmmmm
Name-Surname: ............................................................................. No. ..................................
Pratomsuksa: .................................................................................... Date: ................................
Chapter 10 Angles and Line Segments
Explanation: Summary of learning outcomes
Feeling after learning this
chapter:
...........................................................
...........................................................
...........................................................
...........................................................
Contents that you need teacher
to explain further:
...............................................................
...............................................................
...............................................................
..............................................................
Knowledge gained from this
chapter:
...............................................................
...............................................................
...............................................................
...............................................................
Application of knowledge from
this chapter on your daily life:
...............................................................
................................................................
................................................................
................................................................
Contents that you like the
most in this chapter (give your
reason):
...........................................................
...........................................................
...........................................................
...........................................................
Exercises that you like and want
to be selected as the
outstanding work:
...............................................................
...............................................................
...............................................................
...............................................................
Chapter 10
Angles and Line
Segments
Mathematics Pratomsuksa 6 – Lesson Plan 65
IIIIIIIIIIIInnnnnnnnnnnnddddddddddddiiiiiiiiiiiiccccccccccccaaaaaaaaaaaattttttttttttoooooooooooorrrrrrrrrrrrssssssssssss aaaaaaaaaaaannnnnnnnnnnndddddddddddd LLLLLLLLLLLLeeeeeeeeeeeeaaaaaaaaaaaarrrrrrrrrrrrnnnnnnnnnnnniiiiiiiiiiiinnnnnnnnnnnngggggggggggg AAAAAAAAAAAArrrrrrrrrrrreeeeeeeeeeeeaaaaaaaaaaaassssssssssss
CCCCCCCCCCCChhhhhhhhhhhhaaaaaaaaaaaapppppppppppptttttttttttteeeeeeeeeeeerrrrrrrrrrrr 111111111111111111111111 PPPPPPPPPPPPaaaaaaaaaaaarrrrrrrrrrrraaaaaaaaaaaalllllllllllllllllllllllleeeeeeeeeeeellllllllllll LLLLLLLLLLLLiiiiiiiiiiiinnnnnnnnnnnneeeeeeeeeeeessssssssssss ((((((((((((777777777777 hhhhhhhhhhhhoooooooooooouuuuuuuuuuuurrrrrrrrrrrrssssssssssss))))))))))))
Indicator Learning Area
M3.1 Gr6/3 Identify which pair of straight
lines is parallel.
•••• Corresponding, alternate
and interior angles
•••• Determine if two or
more lines are parallel
lines
LLL eeeaaarrr nnniii nnnggg OOObbbjjj eeecccttt iii vvveeesss
Students will be taught to:
1. Understand the properties of angles associated with transversal lines.
LLL eeeaaarrr nnniii nnnggg OOOuuuttt cccooommmeeesss
Students will be able to:
1. Determine the properties of angles associated with transversal lines –
corresponding angles, alternate angles and interior angles.
2. Determine if two or more lines are parallel lines.
LLL eeeaaarrr nnniii nnnggg AAArrr eeeaaasss
•••• Corresponding, alternate and interior angles
•••• Determine if two or more lines are parallel lines
TTTeeeaaaccchhhiii nnnggg aaannnddd LLL eeeaaarrr nnniii nnnggg AAAcccttt iii vvviii ttt iii eeesss
1st – 3rd hours (Corresponding, Alternate and Interior Angles)
1. Explain what a transversal line is. There are 8 angles formed on
transversal line that pass through two other lines. However when a
Mathematics Pratomsuksa 6 – Lesson Plan 66
transversal line passes through two parallel lines, we can classify the
angles into corresponding angles, alternate angles and interior angles.
2. Refer to pages 145 and 146.
3. Draw a transversal line passing through two parallel lines on the board.
Ask students to identify the angles. Which angles are similar? Which
two angles have the sum of 180o?
4. Use the examples on page 147 to guide students to find the sizes of the
angles on the transversal line that passes through two parallel lines.
5. Ask students to try Practice on page 148. Discuss the answers with
them.
6. Have students work on Exercises A to D on pages 112 to 113 of the
workbook as their homework.
4th – 5th hours (Determine If Two or More Lines Are Parallel Lines)
1. We can determine if two or more lines are parallel lines by checking the
sizes of the angles formed by the transversal line.
2. Students have to be clear of the characteristics of the angles formed by a
transversal lines passing through the parallel lines.
3. Use the examples on pages 149 and 150.
4. Ask students to try Practice on page 150. Discuss the answers with
them.
5. Have students work on Exercises E and F on pages 114 and 115 of the
workbook as their homework.
6th – 7th hours (Conclusion)
1. To test students’ understanding of this chapter, have them try Test
Yourself on page 151. Discuss the answers with them.
2. Have students work on Mastery Practice on pages 116 and 117 of the
workbook as their homework.
Mathematics Pratomsuksa 6 – Lesson Plan 67
EEEmmmppphhhaaasssiii zzzeeeddd CCChhhaaarrr aaacccttteeerrr iii sssttt iii cccsss:::
1. Thinking skill
2. Problem-solving skill
3. Analysing skill
LLL eeeaaarrr nnniii nnnggg MMM aaattteeerrr iii aaalll sss:::
•••• Primary Education Smart Textbook Mathematics P6
•••• Primary Education Smart Workbook Mathematics P6
•••• Protractor
Mathematics Pratomsuksa 6 – Lesson Plan 68
LLLLLLLLeeeeeeeeaaaaaaaarrrrrrrrnnnnnnnniiiiiiiinnnnnnnngggggggg OOOOOOOOuuuuuuuuttttttttccccccccoooooooommmmmmmmeeeeeeee FFFFFFFFoooooooorrrrrrrrmmmmmmmm
Name-Surname: ............................................................................. No. ..................................
Pratomsuksa: .................................................................................... Date: ................................
Chapter 11 Parallel Lines
Explanation: Summary of learning outcomes
Feeling after learning this
chapter:
...........................................................
...........................................................
...........................................................
...........................................................
Contents that you need teacher
to explain further:
...............................................................
...............................................................
...............................................................
..............................................................
Knowledge gained from this
chapter:
...............................................................
...............................................................
...............................................................
...............................................................
Application of knowledge from
this chapter on your daily life:
...............................................................
................................................................
................................................................
................................................................
Contents that you like the
most in this chapter (give your
reason):
...........................................................
...........................................................
...........................................................
...........................................................
Exercises that you like and want
to be selected as the
outstanding work:
...............................................................
...............................................................
...............................................................
...............................................................
Chapter 11
Parallel Lines
Mathematics Pratomsuksa 6 – Lesson Plan 69
IIIIIIIIIIIInnnnnnnnnnnnddddddddddddiiiiiiiiiiiiccccccccccccaaaaaaaaaaaattttttttttttoooooooooooorrrrrrrrrrrrssssssssssss aaaaaaaaaaaannnnnnnnnnnndddddddddddd LLLLLLLLLLLLeeeeeeeeeeeeaaaaaaaaaaaarrrrrrrrrrrrnnnnnnnnnnnniiiiiiiiiiiinnnnnnnnnnnngggggggggggg AAAAAAAAAAAArrrrrrrrrrrreeeeeeeeeeeeaaaaaaaaaaaassssssssssss
CCCCCCCCCCCChhhhhhhhhhhhaaaaaaaaaaaapppppppppppptttttttttttteeeeeeeeeeeerrrrrrrrrrrr 111111111111222222222222 QQQQQQQQQQQQuuuuuuuuuuuuaaaaaaaaaaaaddddddddddddrrrrrrrrrrrriiiiiiiiiiiillllllllllllaaaaaaaaaaaatttttttttttteeeeeeeeeeeerrrrrrrrrrrraaaaaaaaaaaallllllllllllssssssssssss ((((((((((((111111111111333333333333 hhhhhhhhhhhhoooooooooooouuuuuuuuuuuurrrrrrrrrrrrssssssssssss))))))))))))
Indicator Learning Area
M2.1 Gr6/2 Find the area of quadrilateral.
•••• Areas of parallelograms
and trapeziums
•••• Estimating areas of
quadrilaterals
M2.2 Gr6/1 Solve problems involving area
and perimeter of quadrilaterals and circles.
•••• Solving problems
involving quadrilaterals
M3.1 Gr6/2 Identify characteristics of
diagonals in various kinds of quadrilaterals.
•••• Diagonals of
quadrilaterals
M3.2 Gr6/2 Construct various kinds of
quadrilaterals.
•••• Constructing
quadrilaterals
LLL eeeaaarrr nnniii nnnggg OOObbbjjj eeecccttt iii vvveeesss
Students will be taught to:
1. Identify and use geometric properties of quadrilateral to solve problems.
2. Understand the concept of areas of parallelograms and trapezium to
solve problems.
LLL eeeaaarrr nnniii nnnggg OOOuuuttt cccooommmeeesss
Students will be able to:
1. Identify types of quadrilaterals.
2. Construct quadrilaterals using a protractor and a ruler.
3. Identify the heights of parallelograms and trapeziums.
4. Find the areas of parallelograms and trapeziums.
Mathematics Pratomsuksa 6 – Lesson Plan 70
5. Find the areas of figures made up of triangles, trapeziums,
parallelograms or rectangles.
6. Estimate areas of quadrilaterals.
7. Solve problems involving quadrilaterals.
LLL eeeaaarrr nnniii nnnggg AAArrr eeeaaasss
•••• Diagonals of quadrilaterals
•••• Constructing quadrilaterals
•••• Areas of parallelograms and trapeziums
•••• Estimating areas of quadrilaterals
•••• Solving problems involving quadrilaterals
TTTeeeaaaccchhhiii nnnggg aaannnddd LLL eeeaaarrr nnniii nnnggg AAAcccttt iii vvviii ttt iii eeesss
1st – 2nd hours (Diagonals of Quadrilaterals)
1. A diagonal is a line joining two non-consecutive vertices of a
quadrilateral. Refer to page 153 for the property of the diagonals in
some quadrilaterals.
2. Ask students to try Practice on page 154. Discuss the answers with
them.
3. Have students work on Exercise A on page 119 of the workbook as their
homework.
3rd – 5th hours (Constructing Quadrilaterals)
1. We can construct a quadrilateral when given the lengths of the sides and
the sizes of the angles.
2. Use the examples on pages 154 to 156 to guide students.
3. We can also construct a quadrilateral when given the lengths of its
diagonals.
4. Refer to page 157.
Mathematics Pratomsuksa 6 – Lesson Plan 71
5. Ask students to try Practice on page 158. Discuss the answers with
them.
6. Have students work on Exercise B on pages 119 and 120 of the
workbook as their homework.
6th – 8th hours (Areas of Parallelograms and Trapeziums)
1. Refer to page 159 for the explanation on how the formula for areas of
parallelogram and trapezium are obtained.
2. Use the examples on pages 160 and 161 to guide students on how to
find the areas of parallelograms and trapeziums.
3. Ask students to try Practice on page 162. Discuss the answers with
them.
4. Have students work on Exercises C and D on pages 120 and 121 of the
workbook as their homework.
9th hour (Estimating Areas of Quadrilaterals)
1. Use the example on page 163 to guide students to estimate the areas of
quadrilaterals.
2. Ask students to try Practice on page 163. Discuss the answers with
them.
10th – 11th hours (Solving Problems Involving quadrilaterals)
1. Use the examples on pages 164 to 166 to guide students to solve word
problems involving quadrilaterals.
2. Ask students to try Practice on page 167. Discuss the answers with
them.
3. Have students work on Exercise E on page 121 of the workbook as their
homework.
Mathematics Pratomsuksa 6 – Lesson Plan 72
12th – 13th hours (Conclusion)
1. To test students’ understanding of this chapter, have them try Test
Yourself on page 168. Discuss the answers with them.
2. Have students work on Mastery Practice on pages 122 to 124 of the
workbook as their homework.
EEEmmmppphhhaaasssiii zzzeeeddd CCChhhaaarrr aaacccttteeerrr iii sssttt iii cccsss:::
1. Thinking skill
2. Problem-solving skill
3. Analysing skill
LLL eeeaaarrr nnniii nnnggg MMM aaattteeerrr iii aaalll sss:::
•••• Primary Education Smart Textbook Mathematics P6
•••• Primary Education Smart Workbook Mathematics P6
•••• Protractor
•••• A pair of compasses
Mathematics Pratomsuksa 6 – Lesson Plan 73
LLLLLLLLeeeeeeeeaaaaaaaarrrrrrrrnnnnnnnniiiiiiiinnnnnnnngggggggg OOOOOOOOuuuuuuuuttttttttccccccccoooooooommmmmmmmeeeeeeee FFFFFFFFoooooooorrrrrrrrmmmmmmmm
Name-Surname: ............................................................................. No. ..................................
Pratomsuksa: .................................................................................... Date: ................................
Chapter 12 Quadrilaterals
Explanation: Summary of learning outcomes
Feeling after learning this
chapter:
...........................................................
...........................................................
...........................................................
...........................................................
Contents that you need teacher
to explain further:
...............................................................
...............................................................
...............................................................
..............................................................
Knowledge gained from this
chapter:
...............................................................
...............................................................
...............................................................
...............................................................
Application of knowledge from
this chapter on your daily life:
...............................................................
................................................................
................................................................
................................................................
Contents that you like the
most in this chapter (give your
reason):
...........................................................
...........................................................
...........................................................
...........................................................
Exercises that you like and want
to be selected as the
outstanding work:
...............................................................
...............................................................
...............................................................
...............................................................
Chapter 12
Quadrilaterals
Mathematics Pratomsuksa 6 – Lesson Plan 74
IIIIIIIIIIIInnnnnnnnnnnnddddddddddddiiiiiiiiiiiiccccccccccccaaaaaaaaaaaattttttttttttoooooooooooorrrrrrrrrrrrssssssssssss aaaaaaaaaaaannnnnnnnnnnndddddddddddd LLLLLLLLLLLLeeeeeeeeeeeeaaaaaaaaaaaarrrrrrrrrrrrnnnnnnnnnnnniiiiiiiiiiiinnnnnnnnnnnngggggggggggg AAAAAAAAAAAArrrrrrrrrrrreeeeeeeeeeeeaaaaaaaaaaaassssssssssss
CCCCCCCCCCCChhhhhhhhhhhhaaaaaaaaaaaapppppppppppptttttttttttteeeeeeeeeeeerrrrrrrrrrrr 111111111111333333333333 CCCCCCCCCCCCiiiiiiiiiiiirrrrrrrrrrrrcccccccccccclllllllllllleeeeeeeeeeeessssssssssss ((((((((((((777777777777 hhhhhhhhhhhhoooooooooooouuuuuuuuuuuurrrrrrrrrrrrssssssssssss))))))))))))
Indicator Learning Area
M2.1 Gr6/3 Find the circumference and area of circles.
M2.2 Gr6/1 Solve problems involving area and perimeter of quadrilaterals and circles.
•••• Circumference of a circle
•••• Area of a circle
LLL eeeaaarrr nnniii nnnggg OOObbbjjj eeecccttt iii vvveeesss
Students will be taught to:
1. Understand the concept of circumference of a circle to solve problems.
2. Understand the concept of area of a circle to solve problems.
LLL eeeaaarrr nnniii nnnggg OOOuuuttt cccooommmeeesss
Students will be able to:
1. Find the circumference of a circle.
2. Find the area of a circle.
LLL eeeaaarrr nnniii nnnggg AAArrr eeeaaasss
•••• Circumference of a circle
•••• Area of a circle
TTTeeeaaaccchhhiii nnnggg aaannnddd LLL eeeaaarrr nnniii nnnggg AAAcccttt iii vvviii ttt iii eeesss
1st – 2nd hours (Circumference of A Circle)
1. Refer to page 170 on how to obtain the formula for the circumference of
a circle. Pi (π) is a constant number and has a value of about
3.14159265358979323846.
2. Use the examples on page 171 to guide students on how to use the pi.
Mathematics Pratomsuksa 6 – Lesson Plan 75
3. Ask students to try Practice on pages 171 and 172. Discuss the answers
with them.
4. Have students work on Exercises A and B on pages 126 and 127 of the
workbook as their homework.
3rd – 5th hours (Area of A Circle)
1. Use the information on pages 172 and 173to understand how the
formula for the area of a circle is obtained.
2. Use the example on page 173 to guide students to find the area of a
circle.
3. Ask students to try Practice on page 174. Discuss the answers with
them.
4. Have students work on Exercises C to E on pages 127 to 129 of the
workbook as their homework.
6th – 7th hours (Conclusion)
1. To test students’ understanding of this chapter, have them try Test
Yourself on page 175. Discuss the answers with them.
2. Have students work on Mastery Practice on pages 130 and 131 of the
workbook as their homework.
EEEmmmppphhhaaasssiii zzzeeeddd CCChhhaaarrr aaacccttteeerrr iii sssttt iii cccsss:::
1. Thinking skill
2. Problem-solving skill
3. Analysing skill
LLL eeeaaarrr nnniii nnnggg MMM aaattteeerrr iii aaalll sss:::
1. Primary Education Smart Textbook Mathematics P6
2. Primary Education Smart Workbook Mathematics P6
Mathematics Pratomsuksa 6 – Lesson Plan 76
LLLLLLLLeeeeeeeeaaaaaaaarrrrrrrrnnnnnnnniiiiiiiinnnnnnnngggggggg OOOOOOOOuuuuuuuuttttttttccccccccoooooooommmmmmmmeeeeeeee FFFFFFFFoooooooorrrrrrrrmmmmmmmm
Name-Surname: ............................................................................. No. ..................................
Pratomsuksa: .................................................................................... Date: ................................
Chapter 13 Circles
Explanation: Summary of learning outcomes
Feeling after learning this
chapter:
...........................................................
...........................................................
...........................................................
...........................................................
Contents that you need teacher
to explain further:
...............................................................
...............................................................
...............................................................
..............................................................
Knowledge gained from this
chapter:
...............................................................
...............................................................
...............................................................
...............................................................
Application of knowledge from
this chapter on your daily life:
...............................................................
................................................................
................................................................
................................................................
Contents that you like the
most in this chapter (give your
reason):
...........................................................
...........................................................
...........................................................
...........................................................
Exercises that you like and want
to be selected as the
outstanding work:
...............................................................
...............................................................
...............................................................
...............................................................
Chapter 13
Circles
Mathematics Pratomsuksa 6 – Lesson Plan 77
IIIIIIIIIIIInnnnnnnnnnnnddddddddddddiiiiiiiiiiiiccccccccccccaaaaaaaaaaaattttttttttttoooooooooooorrrrrrrrrrrrssssssssssss aaaaaaaaaaaannnnnnnnnnnndddddddddddd LLLLLLLLLLLLeeeeeeeeeeeeaaaaaaaaaaaarrrrrrrrrrrrnnnnnnnnnnnniiiiiiiiiiiinnnnnnnnnnnngggggggggggg AAAAAAAAAAAArrrrrrrrrrrreeeeeeeeeeeeaaaaaaaaaaaassssssssssss
CCCCCCCCCCCChhhhhhhhhhhhaaaaaaaaaaaapppppppppppptttttttttttteeeeeeeeeeeerrrrrrrrrrrr 111111111111444444444444 TTTTTTTTTTTThhhhhhhhhhhhrrrrrrrrrrrreeeeeeeeeeeeeeeeeeeeeeee------------DDDDDDDDDDDDiiiiiiiiiiiimmmmmmmmmmmmeeeeeeeeeeeennnnnnnnnnnnssssssssssssiiiiiiiiiiiioooooooooooonnnnnnnnnnnnaaaaaaaaaaaallllllllllll GGGGGGGGGGGGeeeeeeeeeeeeoooooooooooommmmmmmmmmmmeeeeeeeeeeeettttttttttttrrrrrrrrrrrriiiiiiiiiiiicccccccccccc SSSSSSSSSSSShhhhhhhhhhhhaaaaaaaaaaaappppppppppppeeeeeeeeeeeessssssssssss
aaaaaaaaaaaannnnnnnnnnnndddddddddddd VVVVVVVVVVVVoooooooooooolllllllllllluuuuuuuuuuuummmmmmmmmmmmeeeeeeeeeeee ooooooooooooffffffffffff aaaaaaaaaaaa CCCCCCCCCCCCuuuuuuuuuuuubbbbbbbbbbbbooooooooooooiiiiiiiiiiiidddddddddddd ((((((((((((777777777777 hhhhhhhhhhhhoooooooooooouuuuuuuuuuuurrrrrrrrrrrrssssssssssss))))))))))))
Indicator Learning Area
M2.2 Gr6/2 Solve problems involving volume and capacity of cuboids.
•••• Volume of cuboid
M3.1 Gr6/1 Identify kinds of two-dimensional geometric figures that are components of three-dimensional geometric figures.
M3.2 Gr6/1 Create cuboids, cylinders, cones, prisms and pyramids from nets of three-dimensional geometric figures or two-dimensional geometric figures given.
•••• Nets
•••• Models of geometric solids
LLL eeeaaarrr nnniii nnnggg OOObbbjjj eeecccttt iii vvveeesss
Students will be taught to:
1. Understand the concept of net.
2. Understand the concepts of volumes of cuboid to solve problems.
LLL eeeaaarrr nnniii nnnggg OOOuuuttt cccooommmeeesss
Students will be able to:
1. Draw nets for cubes, cuboids, prisms, pyramids, cylinders and cones.
2. State the types of solids given the nets.
3. Construct models of geometrics given the nets.
LLL eeeaaarrr nnniii nnnggg AAArrr eeeaaasss
•••• Nets
•••• Models of geometric solids
•••• Volume of a cuboid
Mathematics Pratomsuksa 6 – Lesson Plan 78
TTTeeeaaaccchhhiii nnnggg aaannnddd LLL eeeaaarrr nnniii nnnggg AAAcccttt iii vvviii ttt iii eeesss
1st – 2nd hours (Nets)
1. Have students work on Exercises A and B on pages 133 and 134 of the
workbook as their homework. This is to refresh their memory on 3-D
shapes.
2. Ask students to bring any boxes to school. Ask them to open up the
boxes and lay them flat on the table. Those open-up boxes are the nets
of the boxes.
3. Use page 177 to explain.
4. Ask students to imagine the nets for a cylinder, pyramid, cone, prism,
square and cuboid. Compare with the nets on pages 177 and 178.
5. We can imagine the 3-D solid shapes we will get from folded nets.
6. Refer to page 273.
7. Ask students to try Practice on page 179. Discuss the answers with
them.
8. Have students work on Exercises C and D on pages 134 to 136 of the
workbook as their homework.
3rd hour (Models of Geometric Solids)
1. Refer to page 180 to fold nets into models of geometric solids.
4th – 5th hours (Volume of a Cuboid)
1. To find the volume of cuboid, we need to multiply the length, width and
height of the cuboid.
2. Refer to pages 181 and 182 to guide students to find the volumes of
cuboids.
3. Ask students to try Practice on page 183. Discuss the answers with
them.
Mathematics Pratomsuksa 6 – Lesson Plan 79
4. Have students work on Exercises E and F on page 136 and 137 of the
workbook as their homework.
6th – 7th hours (Conclusion)
1. To test students’ understanding of this chapter, have them try Test
Yourself on page 184. Discuss the answers with them.
2. Have students work on Mastery Practice on pages 138 to 140 of the
workbook as their homework.
EEEmmmppphhhaaasssiii zzzeeeddd CCChhhaaarrr aaacccttteeerrr iii sssttt iii cccsss:::
1. Thinking skill
2. Problem-solving skill
3. Analysing skill
LLL eeeaaarrr nnniii nnnggg MMM aaattteeerrr iii aaalll sss:::
1. Primary Education Smart Textbook Mathematics P6
2. Primary Education Smart Workbook Mathematics P6
Mathematics Pratomsuksa 6 – Lesson Plan 80
LLLLLLLLeeeeeeeeaaaaaaaarrrrrrrrnnnnnnnniiiiiiiinnnnnnnngggggggg OOOOOOOOuuuuuuuuttttttttccccccccoooooooommmmmmmmeeeeeeee FFFFFFFFoooooooorrrrrrrrmmmmmmmm
Name-Surname: ............................................................................. No. ..................................
Pratomsuksa: .................................................................................... Date: ................................
Chapter 14 Three-Dimensional Geometric Shapes and Volume of a
Cuboid
Explanation: Summary of learning outcomes
Feeling after learning this
chapter:
...........................................................
...........................................................
...........................................................
...........................................................
Contents that you need teacher
to explain further:
...............................................................
...............................................................
...............................................................
..............................................................
Knowledge gained from this
chapter:
...............................................................
...............................................................
...............................................................
...............................................................
Application of knowledge from
this chapter on your daily life:
...............................................................
................................................................
................................................................
................................................................
Contents that you like the
most in this chapter (give your
reason):
...........................................................
...........................................................
...........................................................
...........................................................
Exercises that you like and want
to be selected as the
outstanding work:
...............................................................
...............................................................
...............................................................
...............................................................
Chapter 14
Three-Dimensional
Geometric Shapes and
Volume of a Cuboid
Mathematics Pratomsuksa 6 – Lesson Plan 81
IIIIIIIIIIIInnnnnnnnnnnnddddddddddddiiiiiiiiiiiiccccccccccccaaaaaaaaaaaattttttttttttoooooooooooorrrrrrrrrrrrssssssssssss aaaaaaaaaaaannnnnnnnnnnndddddddddddd LLLLLLLLLLLLeeeeeeeeeeeeaaaaaaaaaaaarrrrrrrrrrrrnnnnnnnnnnnniiiiiiiiiiiinnnnnnnnnnnngggggggggggg AAAAAAAAAAAArrrrrrrrrrrreeeeeeeeeeeeaaaaaaaaaaaassssssssssss
CCCCCCCCCCCChhhhhhhhhhhhaaaaaaaaaaaapppppppppppptttttttttttteeeeeeeeeeeerrrrrrrrrrrr 111111111111555555555555 SSSSSSSSSSSSttttttttttttaaaaaaaaaaaattttttttttttiiiiiiiiiiiissssssssssssttttttttttttiiiiiiiiiiiiccccccccccccssssssssssss aaaaaaaaaaaannnnnnnnnnnndddddddddddd PPPPPPPPPPPPrrrrrrrrrrrroooooooooooobbbbbbbbbbbbaaaaaaaaaaaabbbbbbbbbbbbiiiiiiiiiiiilllllllllllliiiiiiiiiiiittttttttttttyyyyyyyyyyyy ((((((((((((111111111111000000000000 hhhhhhhhhhhhoooooooooooouuuuuuuuuuuurrrrrrrrrrrrssssssssssss))))))))))))
Indicator Learning Area
M5.1 Gr6/1 Read data from line graphs and
pie-charts.
M5.1 Gr6/2 Draw comparative bar charts and
line graphs.
M5.2 Gr6/1 Explain events by using terms
with similar meaning to:
- will definitely happen;
- may or may not happen;
- will definitely not happen.
•••• Multiple bar charts
•••• Line graphs
•••• Pie charts
•••• Probability
LLL eeeaaarrr nnniii nnnggg OOObbbjjj eeecccttt iii vvveeesss
Students will be taught to:
1. Represent and interpret data from multiple bar charts, line graphs and
pie charts.
2. Understand and use the concept of probability to solve problems.
LLL eeeaaarrr nnniii nnnggg OOOuuuttt cccooommmeeesss
Students will be able to:
1. Construct multiple bar charts.
2. Extract data from multiple bar charts.
3. Solve problems involving multiple bar charts.
4. Construct line charts.
5. Extract data from line charts.
6. Solve problems involving line charts.
Mathematics Pratomsuksa 6 – Lesson Plan 82
7. Construct pie charts.
8. Extract data from pie charts.
9. Solve problems involving pie charts.
10. Solve problems involving probability.
LLL eeeaaarrr nnniii nnnggg AAArrr eeeaaasss
•••• Multiple bar charts
•••• Line graphs
•••• Pie charts
•••• Probability
TTTeeeaaaccchhhiii nnnggg aaannnddd LLL eeeaaarrr nnniii nnnggg AAAcccttt iii vvviii ttt iii eeesss
1st – 2nd hours (Multiple Bar Charts)
1. Guide students on how to construct multiple bar charts from the
information given and to extract information from multiple bar charts.
2. Use the examples on pages 186 and 187.
3. Ask students to try Practice on page 188. Discuss the answers with
them.
4. Have students work on Exercises A and B on pages 143 to 145 of the
workbook as their homework.
3rd – 4th hours (Line Graphs)
1. Guide students on how to construct line graphs from the information
given and to extract information from line graphs.
2. Use the examples on pages 188 and 189.
3. Ask students to try Practice on page 190. Discuss the answers with
them.
4. Have students work on Exercises C and D on pages 146 to 148 of the
workbook as their homework.
Mathematics Pratomsuksa 6 – Lesson Plan 83
5th – 6th hours (Pie Charts)
1. Guide students on how to extract information from pie charts.
2. Use the examples on pages 191 and 192.
3. Ask students to try Practice on pages 192 and 193. Discuss the answers
with them.
4. Have students work on Exercise E on pages 149 to 150 of the workbook
as their homework.
7th – 8th hours (Probability)
1. In any event, there are a few outcomes. For example, in a story telling
with four contestants, a contestant may get the first place, the second
place, the third place or the fourth place. If the contestant does not
remember his story, he may most probably get the fourth place. If he is
well prepared and confident, he might get the first place. Probability is
how likely for something to happen.
2. Probability can be shown using a scale. Refer to page 194.
3. Use the example on page 195 to guide students to answer questions
involving probability.
4. Ask students to try Practice on page 196. Discuss the answers with
them.
5. Have students work on Exercise F on page 151 of the workbook as their
homework.
9th – 10th hours (Conclusion)
1. To test students’ understanding of this chapter, have them try Test
Yourself on page 197. Discuss the answers with them.
2. Have students work on Mastery Practice on pages 152 and 153 of the
workbook as their homework.
Mathematics Pratomsuksa 6 – Lesson Plan 84
EEEmmmppphhhaaasssiii zzzeeeddd CCChhhaaarrr aaacccttteeerrr iii sssttt iii cccsss:::
1. Thinking skill
2. Problem-solving skill
3. Analysing skill
LLL eeeaaarrr nnniii nnnggg MMM aaattteeerrr iii aaalll sss:::
1. Primary Education Smart Textbook Mathematics P6
2. Primary Education Smart Workbook Mathematics P6
Mathematics Pratomsuksa 6 – Lesson Plan 85
LLLLLLLLeeeeeeeeaaaaaaaarrrrrrrrnnnnnnnniiiiiiiinnnnnnnngggggggg OOOOOOOOuuuuuuuuttttttttccccccccoooooooommmmmmmmeeeeeeee FFFFFFFFoooooooorrrrrrrrmmmmmmmm
Name-Surname: ............................................................................. No. ..................................
Pratomsuksa: .................................................................................... Date: ................................
Chapter 15 Statistics and Probability
Explanation: Summary of learning outcomes
Feeling after learning this
chapter:
...........................................................
...........................................................
...........................................................
...........................................................
Contents that you need teacher
to explain further:
...............................................................
...............................................................
...............................................................
..............................................................
Knowledge gained from this
chapter:
...............................................................
...............................................................
...............................................................
...............................................................
Application of knowledge from
this chapter on your daily life:
...............................................................
................................................................
................................................................
................................................................
Contents that you like the
most in this chapter (give your
reason):
...........................................................
...........................................................
...........................................................
...........................................................
Exercises that you like and want
to be selected as the
outstanding work:
...............................................................
...............................................................
...............................................................
...............................................................
Chapter 15
Statistics and
Probability
Mathematics Pratomsuksa 6 – Lesson Plan 86
IIIIIIIIIIIInnnnnnnnnnnnddddddddddddiiiiiiiiiiiiccccccccccccaaaaaaaaaaaattttttttttttoooooooooooorrrrrrrrrrrrssssssssssss aaaaaaaaaaaannnnnnnnnnnndddddddddddd LLLLLLLLLLLLeeeeeeeeeeeeaaaaaaaaaaaarrrrrrrrrrrrnnnnnnnnnnnniiiiiiiiiiiinnnnnnnnnnnngggggggggggg AAAAAAAAAAAArrrrrrrrrrrreeeeeeeeeeeeaaaaaaaaaaaassssssssssss
CCCCCCCCCCCChhhhhhhhhhhhaaaaaaaaaaaapppppppppppptttttttttttteeeeeeeeeeeerrrrrrrrrrrr 111111111111666666666666 PPPPPPPPPPPPaaaaaaaaaaaatttttttttttttttttttttttteeeeeeeeeeeerrrrrrrrrrrrnnnnnnnnnnnnssssssssssss ((((((((((((777777777777 hhhhhhhhhhhhoooooooooooouuuuuuuuuuuurrrrrrrrrrrrssssssssssss))))))))))))
Indicator Learning Area
M4.1 Gr6/1 Solve problems involving pattern. •••• Patterns •••• Solving problems
involving patterns
LLL eeeaaarrr nnniii nnnggg OOObbbjjj eeecccttt iii vvveeesss
Students will be taught to:
1. Recognise and extend patterns.
2. Solve problems involving patterns.
LLL eeeaaarrr nnniii nnnggg OOOuuuttt cccooommmeeesss
Students will be able to:
1. Describe the pattern given.
2. Extend the pattern given.
3. Solve problems involving patterns.
LLL eeeaaarrr nnniii nnnggg AAArrr eeeaaasss
•••• Patterns
•••• Solving problems involving patterns
TTTeeeaaaccchhhiii nnnggg aaannnddd LLL eeeaaarrr nnniii nnnggg AAAcccttt iii vvviii ttt iii eeesss
1st – 3rd hours (Patterns)
1. When a set of object produces a repeating pattern, the pattern is known
as geometric pattern.
2. Use the example on page 199.
3. Ask students to try Practice on page 200. Discuss the answers with
them.
Mathematics Pratomsuksa 6 – Lesson Plan 87
4. Have students work on Exercises A and C on pages 154 and 155 of the
workbook as their homework.
5. When a set of numbers produces a repeating pattern, the pattern is
known as number pattern.
6. Use the example on pages 200 to 202.
7. Ask students to try Practice on page 202. Discuss the answers with
them.
8. Have students work on Exercises B and D on pages 155 and 156 of the
workbook as their homework.
4th – 5th hours (Solving Problems Involving Patterns)
1. Use the example on page 203 to guide students to solve word problems
involving patterns.
2. Have students work on Exercise E on page 156 of the workbook as their
homework.
6th – 7th hours (Conclusion)
1. To test students’ understanding of this chapter, have them try Test
Yourself on page 204. Discuss the answers with them.
2. Have students work on Mastery Practice on pages 157 to 159 of the
workbook as their homework.
EEEmmmppphhhaaasssiii zzzeeeddd CCChhhaaarrr aaacccttteeerrr iii sssttt iii cccsss:::
1. Thinking skill
2. Problem-solving skill
3. Analysing skill
LLL eeeaaarrr nnniii nnnggg MMM aaattteeerrr iii aaalll sss:::
•••• Primary Education Smart Textbook Mathematics P6
•••• Primary Education Smart Workbook Mathematics P6
Mathematics Pratomsuksa 6 – Lesson Plan 88
LLLLLLLLeeeeeeeeaaaaaaaarrrrrrrrnnnnnnnniiiiiiiinnnnnnnngggggggg OOOOOOOOuuuuuuuuttttttttccccccccoooooooommmmmmmmeeeeeeee FFFFFFFFoooooooorrrrrrrrmmmmmmmm
Name-Surname: ............................................................................. No. ..................................
Pratomsuksa: .................................................................................... Date: ................................
Chapter 16 Patterns
Explanation: Summary of learning outcomes
Feeling after learning this
chapter:
...........................................................
...........................................................
...........................................................
...........................................................
Contents that you need teacher
to explain further:
...............................................................
...............................................................
...............................................................
..............................................................
Knowledge gained from this
chapter:
...............................................................
...............................................................
...............................................................
...............................................................
Application of knowledge from
this chapter on your daily life:
...............................................................
................................................................
................................................................
................................................................
Contents that you like the
most in this chapter (give your
reason):
...........................................................
...........................................................
...........................................................
...........................................................
Exercises that you like and want
to be selected as the
outstanding work:
...............................................................
...............................................................
...............................................................
...............................................................
Chapter 16
Patterns
Mathematics Pratomsuksa 6 – Lesson Plan 89
You may use Term Test 1 on pages 88 to 93 of the workbook to test students’
understanding after learning the first 6 chapters and also Term Test 2 on pages
160 to 166 for all the chapters learnt.
Notes: Strand 6: Mathematical Skills and Processes are inculcated in all the
chapters appearing in the textbook and workbooks of Primary Education Plus
Series. Through them, students will learn to:
� Apply diverse methods for problem-solving.
� Appropriately apply mathematical knowledge, skills and processes
for problem-solving in various situations
� Suitably provide reasoning for decision-making and appropriately
present the conclusions reached.
� Accurately use mathematical language and symbols for
communication of concepts and presentation.
� Link various bodies of mathematical knowledge, and link
mathematics with other disciplines.
� Attain ability for creative thinking.