stage 6 fraction

$: Stage 6 fraction$
FRACTION

MATH- PROJECT- GRADE 6- FRACTION

Objective/s:1.Students understand about the lesson- Fraction2.Students can use their creativity to find the way/s

to understand fraction concept

Materials:1.An after used calender (Wall/ desk), contains 6 or more pages2.Colour paper (Origami/ Spectra/ etc) or colour pencil/ marker3.Decoration- If needed

How to make:1.Each page must contain the knowledge about fraction2.Student must include minimum 6 items3.Student must include the drawing/ picture about each item and the question and answer example


Due date: Tuesday, 9 August 2011

Fraction:

1.Meaning2.Equivalent Fraction3.Reduction to lowest term4.Comparison Fraction5.Improper Fractions and Mixed Numbers6.Adding/ Subtracting Fraction with the same denominator7.Adding/ Subtracting Fraction with different denominator8.Whole9.Mixed Number Operation10.Multiplying Fraction11.Dividing Fraction


CRITERIA 7-8 5-6 3-4 1-2

Techniques

The student has demonstrated thorough competence when choosing and using techniques/materials and equipment.

The student is able to choose and use the techniques, materials &/or equipment competently.

The student is able to use the techniques, materials &/or equipment adequately.

The student has difficulty using the techniques, materials &/or equipment.

Design Specification

The student has displayed excellent understanding of the design specification and has fully justified any modifications used.

Student has shown good understanding of the design specification and was able to make necessary modifications to enhance the finished product.

The student has demonstrated adequate understanding of the design specifications. Did not demonstrate any use of modifications to enhance final product.

The student has demonstrated little understanding of the design specification.

Procedure

The student is fully able to understand and follow procedures and alter them where necessary.

The student usually understands and follows correct procedures.

The student sometimes has difficulty understand &/or following procedures.

The students usually has difficulty understanding &/or following procedures.

Finished Product

The student produced an outstanding finished product.

The student produced a well-made and well-presented product.

The student produced a finished product which was of an adequate standard and quality.

The student produced a finished product that was of a poor standard and low quality.

RUBRIC:

MEANING

• One marble out of five marbles

• Two marbles out of six marbles

• Three parts out of 4 equal parts

MEANING

• One part out of 3 equal parts

4

3

3

1

Numerator and Denominator

• Numerator

• Denominator

3

4

Exercise:

What fraction shows by the shaded part?

Exercise:

What fraction shows by the Unshaded part?

Exercise:Worksheet 9.1 and 9.3

Equivalent Fraction

Blue part = ½

What will happen if we divided the Blue part by 2?

Equivalent Fraction

Blue part = ½

Blue part = 4

2

We can say that, to make an equivalent fraction:

If we multiplied the Numerator by 2,

We must multiplied the Denominator by 2

2 ....

3 12

2 14

3 ....

2 2 4 8 3 12 12

2 14 14

3 3 7 21

Equivalent Fraction

Reduction to lowest term

21 ....

24

1. Divide with the denominator2. Divide with HCF (Highest Common Factor) of 21 and 24 is 3.

4 ....

12

4 1

12 3

21 7

24 8

Comparison of Fraction

Let us compare fraction : 8

4and

12

7

1. a. Make a list of equivalent fractions from each

...24

12

16

8

8

4

...36

21

24

14

12

7



4and

12

7

24

12

8

4

24

14

12

7

b. We choose the same denominator between each equivalent fractions



4and

12

7

24

12

24

14

c. Then compare those two fractions

<



4and

12

7

2. Short cut: “Cross Multiplication Method”

8

4

12

7

4 x 12 = 48 7 x 8 = 56

Because 48 is smaller than 56so,

8

4

12

7<

Improper Fractions and Mixed NumbersProper Fraction, The Numerator smaller than the denominator

4

3Example:

Improper Fraction, The Numerator greater than the denominator

4

5Example:

Mixed Numbers, The sum of a whole number and a fraction

4

11Example:

Addition of Fraction with the same denominator

2 1

5 5

1

5

Exercise:

3 2

10 10

1 5

30 30

7 53

100 100

1 1

3 3

1 3

5 5

2 3

7 7

Exercise:

3 2

10 10

1 5

30 30

7 53

100 100

1 1

3 3

1 3

5 5

2 3

7 7

3

2

5

4

7

5

10

5

30

6

100

60

1 1

3 2

1

3

2

6

1

2

3

6

2

63 56 6

Addition of Fraction with different denominator

1 1

2 4

1

2

2

4

1

4

1

4

2

4

1

42 1 3

4 4 4

Addition of Fraction with different denominator

Mutiply the denominator3 x 2 = 6

1 1

3 2

Addition of Fraction, Short Cut

6

5

23

)13()12(

x

xx

2 3

7 112 11 3 7 43

7 11 77

Addition of Fraction, Short Cut

Exercise:1 1

3 2

1 1

3 5

1 1

5 2

1 1

4 2

1 1

3 6

1 1

8 7

Exercise:1 1

3 2

1 1

3 5

1 1

5 2

1 1

4 2

1 1

3 6

1 1

8 7

6

5

15

8

10

7

8

6

18

9

56

15

3

3?

• Fraction as Division :

Saundra has 1 cake, She wants to give the cake equally to 3 people,

What is the fraction for the parts of those people?

If each person get 1 3

So the fraction for the whole parts is :

“WHOLE”

13

3

3

1

3

1

3

1

5

5?


Tiara has 1 cake, She wants to give the cake equally to 5 people,


If each person get, 1 5


“WHOLE”

15

5

5

1

5

1

5

1

5

1

5

1

5

5?


Erika has 2 cakes, She wants to give the cake equally to 4 people,


If each person get, 2 4


“WHOLE”

24

8

4

2

4

2

4

2

4

2

Mixed Numbers Operation- Addition

3

21

3

11

Add the number of the two fractions: 1 + 1 = 2

Add the fractions of the two fractions:

13

3

3

2

3

1

Add the answers: 2 + 1 = 3

Mixed Numbers Operation- Addition

6

51

5

21

Add the number of the two fractions: 1 + 1 = 2

Add the fractions of the two fractions:

30

71

30

37

6

5

5

2

Add the answers: 2 + = 30

71

30

73

Mixed Numbers Operation- Subtraction

3

11

3

22

Subtract the number of the two fractions: 2-1 = 1

Subtract the fractions of the two fractions:

3

1

3

1

3

2

The answers: 1 and = 3

1

3

11

Mixed Numbers Operation- Subtraction

6

51

5

23

Subtract the number of the two fractions: 3 - 1 = 2

Subtract the fractions of the two fractions:

30

13

30

2512

6

5

5

2

Add the answers: 2 and

30

13

= 1 + - = 30

3030

13

30

271

Multiplication Fraction with Number

1

24 1 4): 2 2

1 1

2 2

Multiplication Fraction with Fraction

4

1

22

11

x

x

In mind: I have 1/6 than I take ½ from 1/6, So I get 1/12

1 1

2 6 12

1

62

11

x

x



(Short Cut- to find the lowest term)

18

2

6

3x

1

3

1

618

1

6

1

3

1x

16

5

5

4x

1

1

1

44

1

4

1

1

1x

Divided Fraction- With Number

• 1/2 : 2 = ?If we divide ½ the answer is 1/4• 1/3 : 2 =• 2/3 : 2 =• ¾:3=• 4/5 : 3 =• 7/9 : 3=• 20/25 : 5 =

Divided Fraction- With Number

• 1/2 : 2 = ?If we divide ½ the answer is 1/4• 1/3 : 2 = • 2/3 : 2 =• ¾:3=• 4/5 : 3 =• 7/9 : 3=• 20/25 : 5 =

6

1

6

2

12

3

27

7

12

3

125

20

Pembagian Pecahan

• Berapa 1/2 : 2 = ?Berapa kali 2 hasilnya ½?Jawab 1/4

1 1:

2 6

1

6

1

2

Divided Fraction- With Fraction

In mind:How many in ? 3

6

1

2

1

Divided Fraction- With Fraction(Short Cut)

32

6

1

6

2

16

1:

2

1

x

Divided Mixed Number- With Fraction

92

18

1

6

2

36

1:

2

11

x

Divided Mixed Number- With Fraction


FractionExercise:CB pg. 24- 25

1. Mrs. Ong repacks 2 kg of seasoning powder into small packets.Each packet contains kg of seasoning powder.How many packets does she get?

5

1

Answer:

2 : =

2 x = 10

5

1

1

5So, Mrs. Ong will get 10 packets

FractionExercise:CB pg. 24- 25

3. What is the greatest number of m pieces that you can cut from a 3- metre length of raffia?

5

3

Answer:

3 : =

3 x = = 5

So, 5 is the greatest number of pieces

5

3

3

5

3

15

stage 6 fraction

Education