Curriculum Briefing P2 Mathematics

Mrs Charlotte Mok

Head of Department, Mathematics

5 January 2015

Vision

A community of confident and motivated pupils who are both effective problem solvers and

team players.

Mission

To equip pupils with the necessary mathematical knowledge and skills for everyday life and for continuous learning in mathematics

and related disciplines.

M a t h e m a t i c a l

P r o b l e m

S o l v i n g

C o n c e p t s

M a t h e m a t i c a l

P r o b l e m

S o l v i n g

C o n c e p t s

R e a s o n i n g ,

c o m m u n i c a t i o n &

c o n n e c t i o n s

T h i n k i n g s k i l l s &

h e u r i s t i c s

A p p l i c a t i o n & m o d e l l i n g

i o n

C o n f i d e n c e

P e r s e v e r a n c e

B e l i e f s

I n t e r e s t

A p p r e c i a t i o n

C o n f i d e n c e

P e r s e v e r a n c e

Monitoring of one’s own thinking Self-regulation of learning

Numerical calculation Algebraic manipulation Spatial visualization Data analysis Measurement Use of mathematical tools Estimation

Numerical Algebraic Geometrical Statistical Probabilistic Analytical

MOE MATHEMATICS CURRICULUM FRAMEWORK

STEPS FOR PROBLEM-SOLVING:

POLYA’S MODEL Step1: Understanding the Problem. • What are the key words? • How would you describe the problem in your own words?

Step 2: Plan • Select the strategy to solve the problem. More than one strategy may be adopted. • Try common heuristics (Model drawing, systematic listing, find a pattern, draw a diagram)

Step 3: Do • Use computational skills – add, subtract, multiply, divide • Use mathematical tools – ruler, metre ruler • Use thinking skills – classifying, comparing, sequencing, identifying pattern

Step 4: Check • Read your question again to make sure you have answered the question. • Check the working step by step. • Start with your answer and work backwards and check if the results satisfy

the given conditions.

P2 Maths Syllabus

1. Whole Numbers

2. Fractions

3. Money

4. Measurement

5. Geometry

6. Data representation and interpretation

Ratio

Whole Numbers

Measure ment

Geometry

Data Analysis

Whole Numbers

Measure ment

Geometry

Data Analysis

Fractions

Whole Numbers

Measure ment

Geometry

Data Analysis

Decimals

Whole Numbers

Measure ment

Geometry

Data Analysis

Whole Numbers

Measure ment

Geometry

Data Analysis

Percentage

Speed

Fractions Fractions Fractions

Decimals Decimals

Percentage

Ratio Ratio

Primary 1 Primary 2 & 3 Primary 4 Primary 5 Primary 6

Spiral Approach Math Curriculum

Topics P 2 P 3

Whole Numbers Numbers up to 1000 Addition & Subtraction Mental Calculation Multiplication & Division (Tables 2, 3, 4, 5, 10)

Numbers up to 10 000 Addition & Subtraction Mental Calculation Multiplication & Division (6, 7, 8, 9)

Money Comparing Converting

Comparing Converting Value can be up to $1000

Measurement Length Time Volume Mass

Length Time Volume Mass Area and Perimeter

Geometry 2-D Shapes 3-D Shapes

Angles Perpendicular and parallel lines

Data Representation and Interpretation

Picture Graphs (with scales) Bar Graphs

Fractions Fractions of a whole Comparing and ordering Addition & Subtraction

Equivalent Expressing in simplest form

1. Whole Numbers

1.1 Numbers up to 1000

1.2 Addition and Subtraction (up to 3 digits; 2-Step word problems)

1.3 Multiplication and Division (multiplication tables of 2, 3, 4, 5 and 10)

2. Fractions

• Understand fractions as part of a whole

• Compare

• Addition and subtraction

3. Money

• Count, read and write money involving dollars and cents

• Compare

• Convert dollars to cents and vice versa

• Addition and subtraction (includes word problems)

4. Measurement

• Length – in metres and centimetres

• Mass – in kilograms and grams

• Volume – in litres

Compare and order; develop a sense of how long, how heavy, how much;

measure, solve word problems

5. Geometry

3.1 Basic shapes and patterns

classifying shapes (know the attributes) identifying 2-D shapes

3.2 3D shapes

6. Data Analysis

4.1 Picture Graphs

(collecting, organising data, reading and

interpreting data from picture graphs with scales)

Whole School Heuristics Approach

No. Heuristics P1 P2 P3 P4 P5 P6

1 Model Drawing: Part and Whole √ √

2 Model Drawing: Comparison √ √ √

3 Model Drawing: Multiplication and Division √ √

4 Model Drawing: Before and After √ √ √

5 Systematic Listing √ √ √

6 Find a Pattern √ √ √ √ √ √

7 Draw a Diagram √ √ √

8 Restate The Problem √ √

9 Guess and Check √ √ √ √

10 Working Backwards √ √ √ √

11 Make an Assumption √ √ √

Bar Model Method Emphasis is placed on teaching pupils to

use the bar model method to solve word

problems that include part- whole, comparison

and change situations.

• Primary 1 – Introduction to Part & Whole and Comparison models

• Primary 2 – Multiplication & Division

• Primary 3 to 6 – More advanced techniques and strategies in the method are taught

http://www.thesingaporemaths.com/index.html (A teaching website with ready to run lessons on Model Drawing and other problem solving strategies)

Part-whole model …

- Shows the various parts which make up a whole

savings

There are 26 girls and 11 boys in a class. What is the total number of pupils in the class?

26 + 11 = 37

Girls Boys

26 11

37

There are 37 pupils in the class.

Comparison model …

Mary has 5 pencils.

June has 2 more pencils than Mary.

How many pencils does June have?

savings 5 + 2 = 7

Mary

June

7

5

June has 7 pencils.

2

When are pupils assessed? Non-weighted Assessments Weighted Assessments

Day to day • Hands-on activities • Maths Practices eg. workbook exercises, class worksheets heuristics worksheets • Mental Sums • Diagnostic Tests • Questioning and Feedbacks • Self-assessment Checklist

-

Term 1 to Term 4

• Mini Test • Maths Journal • Performance Task • Practical Test

• Mini Test • Performance Task • Practical Test • Written Exam

* Dates to be confirmed. A letter will be issued.

Types of Assessments

Practical Test testing of appropriate precision and accuracy

(requires pupils to create answers which demonstrate their knowledge or skills)

Programmes and Activities • Maths @ Recess Games

• Maths Quiz

• Drama in Maths

• Learning Support for Maths (LSM) – P1 to P4

Learning Support Programme • Aims to provide assistance to pupils who need help

to build their foundational numeracy skills and

knowledge to keep up with the P2 curriculum.

• Additional support on a daily basis by a LSM teacher and an Allied Educator.

• Lessons in a small group environment.

• Builds confidence and positive beliefs about their ability in Math.

Math Tips for Parents • Work and communicate closely with your

child’s Maths Teacher.

• Follow up on homework – ask questions that

guide without telling them the answer.

• Train your child to show proper and detailed working

steps.

• Train your child to check for accuracy.

• Relate Math concepts to daily life examples eg.

Is the height of the table longer or shorter than one metre?

• Play mathematical games / puzzles.

• Provide a positive environment – encourage

and praise your child’s effort.

More girls than boys

Mathematics Educational Websites Topic Website

Whole Numbers http://nlvm.usu.edu/ http://www.crickweb.co.uk/ http://www.numbernut.com/ http://www.learningplanet.com/ http://resources.woodlands-junior.kent.sch.uk/maths/mathionaire/index.htm

Number Bonds http://www.amblesideprimary.com/ambleweb/mentalmaths/numberbond.html

Addition &

Subtraction

http://www.bbc.co.uk/skillswise/

http://www.kidsnumbers.com/

http://www.aaamath.com/

Multiplication

Tables

http://fun4thebrain.com/

http://www.ictgames.com/

http://www.apples4theteacher.com/

http://www.multiplication.com/games

http://www.teacherled.com/resources/vennmultiples/vennmultipleload.html

Model Drawing http://www.thesingaporemaths.com/index.html

http://www.mathplayground.com/thinkingblocks.html

Shapes and

Patterns

http://nlvm.usu.edu/ (click Tangram Challenge)

http://www.primarygames.com

+Venture in Maths Magazine

Thank You