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“Every Seng Kang Primary student an Inventive Thinker, a Confident Leader and a Gracious Citizen” MATHEMATICS WORKSHOP FOR PARENTS 2019

MATHEMATICS WORKSHOP FOR PARENTS 2019 Math... · r r ´ • Singapore Primary Mathematics curriculum • Assessment objectives of Mathematics examination and to the structure of the

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Page 1: MATHEMATICS WORKSHOP FOR PARENTS 2019 Math... · r r ´ • Singapore Primary Mathematics curriculum • Assessment objectives of Mathematics examination and to the structure of the

“Every Seng Kang Primary student an Inventive Thinker, a Confident Leader and a Gracious Citizen”

MATHEMATICS WORKSHOP FOR PARENTS 2019

Page 2: MATHEMATICS WORKSHOP FOR PARENTS 2019 Math... · r r ´ • Singapore Primary Mathematics curriculum • Assessment objectives of Mathematics examination and to the structure of the

“Every Seng Kang Primary student an Inventive Thinker, a Confident Leader and a Gracious Citizen”

• Singapore Primary Mathematics curriculum• Assessment objectives of Mathematics

examination and to the structure of the paper• Learning Mathematics

-Concrete-Pictorial-Abstract

-Model Drawing

• Home Support • Useful Websites• Sample questions – P6 Exam

OBJECTIVES OF WORKSHOP:

Page 3: MATHEMATICS WORKSHOP FOR PARENTS 2019 Math... · r r ´ • Singapore Primary Mathematics curriculum • Assessment objectives of Mathematics examination and to the structure of the

“Every Seng Kang Primary student an Inventive Thinker, a Confident Leader and a Gracious Citizen”“Every Seng Kang Primary student an Inventive Thinker, a Confident Leader and a Gracious Citizen”

Singapore Mathematics Framework

`

• Learning Experience• Self motivation

• Thinking about one’s own thinking• Selecting right problem solving strategies

• Make connections • Apply right skills and

strategies • Work with ambiguity• Synthesise and make

decision

• Specific skills for Math • Learning and applying

it to calculate• Using ICT

Page 4: MATHEMATICS WORKSHOP FOR PARENTS 2019 Math... · r r ´ • Singapore Primary Mathematics curriculum • Assessment objectives of Mathematics examination and to the structure of the

“Every Seng Kang Primary student an Inventive Thinker, a Confident Leader and a Gracious Citizen”“Every Seng Kang Primary student an Inventive Thinker, a Confident Leader and a Gracious Citizen”

Singapore Mathematics Framework

• Spiral progression in building up content across the levels.

• Builds a strong foundation to acquire mathematical concepts and skills. (Skills & Concepts)

• Develops thinking, reasoning, communication, application and metacognitive skills. (Processes & Metacognition)

• Builds confidence and develops interest in Mathematics. (Attitude)

Page 5: MATHEMATICS WORKSHOP FOR PARENTS 2019 Math... · r r ´ • Singapore Primary Mathematics curriculum • Assessment objectives of Mathematics examination and to the structure of the

“Every Seng Kang Primary student an Inventive Thinker, a Confident Leader and a Gracious Citizen”“Every Seng Kang Primary student an Inventive Thinker, a Confident Leader and a Gracious Citizen”

Assessment Objectives of Mathematics (AO1/AO2/AO3)

Page 6: MATHEMATICS WORKSHOP FOR PARENTS 2019 Math... · r r ´ • Singapore Primary Mathematics curriculum • Assessment objectives of Mathematics examination and to the structure of the

“Every Seng Kang Primary student an Inventive Thinker, a Confident Leader and a Gracious Citizen”“Every Seng Kang Primary student an Inventive Thinker, a Confident Leader and a Gracious Citizen”

Assessment Objectives (AOs) (Standard)

Page 7: MATHEMATICS WORKSHOP FOR PARENTS 2019 Math... · r r ´ • Singapore Primary Mathematics curriculum • Assessment objectives of Mathematics examination and to the structure of the

“Every Seng Kang Primary student an Inventive Thinker, a Confident Leader and a Gracious Citizen”“Every Seng Kang Primary student an Inventive Thinker, a Confident Leader and a Gracious Citizen”

Assessment Objectives (AOs) (Standard)

MCQ or Short Answer Questions

Examples• Simplify 3b + 8 – b – 2.• Find the value of 42 (8 + 20) ÷ 2 + 5.• Express 24 : 18 : 54 in its simplest form.

How many halves are there in 3

Page 8: MATHEMATICS WORKSHOP FOR PARENTS 2019 Math... · r r ´ • Singapore Primary Mathematics curriculum • Assessment objectives of Mathematics examination and to the structure of the

“Every Seng Kang Primary student an Inventive Thinker, a Confident Leader and a Gracious Citizen”“Every Seng Kang Primary student an Inventive Thinker, a Confident Leader and a Gracious Citizen”

Assessment Objectives (AOs) (Standard)

MCQ or Short Answer Questions

Example• A piece of ribbon was 400 cm long. Bobby used 252 cm of it to tie

some presents. What percentage of the ribbon did he used for the presents?

Page 9: MATHEMATICS WORKSHOP FOR PARENTS 2019 Math... · r r ´ • Singapore Primary Mathematics curriculum • Assessment objectives of Mathematics examination and to the structure of the

“Every Seng Kang Primary student an Inventive Thinker, a Confident Leader and a Gracious Citizen”“Every Seng Kang Primary student an Inventive Thinker, a Confident Leader and a Gracious Citizen”

Assessment Objectives (AOs) (Standard)

Short Answer Questions or Long Answer QuestionsExample

• Nancy and Lucy have some buttons each. If Nancy gives Lucy 28 buttons, they both will have equal number of buttons. If Lucy gives Nancy 28 buttons, Nancy will have three times as many buttons as Lucy. How many buttons does Nancy have at first?

Page 10: MATHEMATICS WORKSHOP FOR PARENTS 2019 Math... · r r ´ • Singapore Primary Mathematics curriculum • Assessment objectives of Mathematics examination and to the structure of the

“Every Seng Kang Primary student an Inventive Thinker, a Confident Leader and a Gracious Citizen”“Every Seng Kang Primary student an Inventive Thinker, a Confident Leader and a Gracious Citizen”

Assessment Objectives (AOs) (Foundation)

Page 11: MATHEMATICS WORKSHOP FOR PARENTS 2019 Math... · r r ´ • Singapore Primary Mathematics curriculum • Assessment objectives of Mathematics examination and to the structure of the

“Every Seng Kang Primary student an Inventive Thinker, a Confident Leader and a Gracious Citizen”“Every Seng Kang Primary student an Inventive Thinker, a Confident Leader and a Gracious Citizen”

Assessment Objectives (AOs) (Foundation)

MCQ or Short Answer Questions

Example• What is the value of the digit 7 in the number 872 061?

• a) Write eleven thousand, three hundred and seventy-seven in numerals.b) Round 9 457 to the nearest thousand.

Page 12: MATHEMATICS WORKSHOP FOR PARENTS 2019 Math... · r r ´ • Singapore Primary Mathematics curriculum • Assessment objectives of Mathematics examination and to the structure of the

“Every Seng Kang Primary student an Inventive Thinker, a Confident Leader and a Gracious Citizen”“Every Seng Kang Primary student an Inventive Thinker, a Confident Leader and a Gracious Citizen”

Assessment Objectives (AOs) (Foundation)

MCQ or Short Answer Questions

ExampleThe table shows the number of members in the Science Club from 2011 to 2014.

Which year had more boys than girls?Which two years had the same total number of members?

Year Number of boys Number of girls

2011 11 13

2012 11 11

2013 12 11

2014 10 14

Page 13: MATHEMATICS WORKSHOP FOR PARENTS 2019 Math... · r r ´ • Singapore Primary Mathematics curriculum • Assessment objectives of Mathematics examination and to the structure of the

“Every Seng Kang Primary student an Inventive Thinker, a Confident Leader and a Gracious Citizen”“Every Seng Kang Primary student an Inventive Thinker, a Confident Leader and a Gracious Citizen”

Assessment Objectives (AOs) (Foundation)

Short Answer Questions or Long Answer Questions

ExampleThe cost of 4 pairs of pants and 3 shirts is $180 altogether. Each pair of pants cost 3 times as much as each shirt.a) Find the cost of 1 shirt.b) Find the total cost of 2 pairs of pants and 2 shirts.

Page 14: MATHEMATICS WORKSHOP FOR PARENTS 2019 Math... · r r ´ • Singapore Primary Mathematics curriculum • Assessment objectives of Mathematics examination and to the structure of the

“Every Seng Kang Primary student an Inventive Thinker, a Confident Leader and a Gracious Citizen”“Every Seng Kang Primary student an Inventive Thinker, a Confident Leader and a Gracious Citizen”

Structure of the P5 & P6 Math Exam Paper

Page 15: MATHEMATICS WORKSHOP FOR PARENTS 2019 Math... · r r ´ • Singapore Primary Mathematics curriculum • Assessment objectives of Mathematics examination and to the structure of the

“Every Seng Kang Primary student an Inventive Thinker, a Confident Leader and a Gracious Citizen”“Every Seng Kang Primary student an Inventive Thinker, a Confident Leader and a Gracious Citizen”

EXAMINATION FORMAT (Standard P5 & P6)The examination consists of two written papers comprising three booklets.

Page 16: MATHEMATICS WORKSHOP FOR PARENTS 2019 Math... · r r ´ • Singapore Primary Mathematics curriculum • Assessment objectives of Mathematics examination and to the structure of the

“Every Seng Kang Primary student an Inventive Thinker, a Confident Leader and a Gracious Citizen”“Every Seng Kang Primary student an Inventive Thinker, a Confident Leader and a Gracious Citizen”

EXAMINATION FORMAT (Foundation P5 & P6)The examination consists of two written papers comprising three booklets.

Page 17: MATHEMATICS WORKSHOP FOR PARENTS 2019 Math... · r r ´ • Singapore Primary Mathematics curriculum • Assessment objectives of Mathematics examination and to the structure of the

“Every Seng Kang Primary student an Inventive Thinker, a Confident Leader and a Gracious Citizen”“Every Seng Kang Primary student an Inventive Thinker, a Confident Leader and a Gracious Citizen”

Learning Mathematics

Page 18: MATHEMATICS WORKSHOP FOR PARENTS 2019 Math... · r r ´ • Singapore Primary Mathematics curriculum • Assessment objectives of Mathematics examination and to the structure of the

“Every Seng Kang Primary student an Inventive Thinker, a Confident Leader and a Gracious Citizen”“Every Seng Kang Primary student an Inventive Thinker, a Confident Leader and a Gracious Citizen”

Phases of Learning Things to consider• Prior knowledge• Motivating contexts• Conductive learning environment

Teaching strategies• Activity-based lessons• Teacher’s inquiry

Consolidation and extension • Motivated practice• Reflective review• Extended learning

Page 19: MATHEMATICS WORKSHOP FOR PARENTS 2019 Math... · r r ´ • Singapore Primary Mathematics curriculum • Assessment objectives of Mathematics examination and to the structure of the

“Every Seng Kang Primary student an Inventive Thinker, a Confident Leader and a Gracious Citizen”“Every Seng Kang Primary student an Inventive Thinker, a Confident Leader and a Gracious Citizen”

Concrete-Pictorial-Abstract

Page 20: MATHEMATICS WORKSHOP FOR PARENTS 2019 Math... · r r ´ • Singapore Primary Mathematics curriculum • Assessment objectives of Mathematics examination and to the structure of the

“Every Seng Kang Primary student an Inventive Thinker, a Confident Leader and a Gracious Citizen”“Every Seng Kang Primary student an Inventive Thinker, a Confident Leader and a Gracious Citizen”

Model Drawing

Page 21: MATHEMATICS WORKSHOP FOR PARENTS 2019 Math... · r r ´ • Singapore Primary Mathematics curriculum • Assessment objectives of Mathematics examination and to the structure of the

21

Comparison Model

There are 560 children in the park.There are 80 fewer boys than girls.How many girls are there in the park?

G

B 80

560

560 − 80 = 4802u---- 4801u --- 480 ÷ 2 = 240240 + 80 = 320

There are 320 girls.

Page 22: MATHEMATICS WORKSHOP FOR PARENTS 2019 Math... · r r ´ • Singapore Primary Mathematics curriculum • Assessment objectives of Mathematics examination and to the structure of the

22

Repeated Identity

June collected thrice as many stamps as Pauline. If Pauline collected 7 stamps, how many stamps did June collect?

?

7

June

Pauline

1u----> 73u -----> 7 x 3 = 21

June collected 21 stamps.

Page 23: MATHEMATICS WORKSHOP FOR PARENTS 2019 Math... · r r ´ • Singapore Primary Mathematics curriculum • Assessment objectives of Mathematics examination and to the structure of the

23

Internal Transfer

James has 24 more marbles than Tom. How many marbles must James give Tom so thatthey have an equal number of marbles?

24

James

Tom

24 ÷ 2 = 12

James must give 12 marbles

Page 24: MATHEMATICS WORKSHOP FOR PARENTS 2019 Math... · r r ´ • Singapore Primary Mathematics curriculum • Assessment objectives of Mathematics examination and to the structure of the

24

Internal Transfer with Unchanged Total

There were a total of 180 beads in Bag A and

Bag B. After 47 beads were transferred from Bag A to

Bag B, there were twice as many beads in Bag B than in

Bag A. How many beads were there in each bag at first?

3 u 1801 u 180 3 = 602 u 60 x 2 = 120

At first, Bag A 60 + 47 = 107Bag B 120 – 47 = 73

180

Bag A

Bag B

AFTER

Page 25: MATHEMATICS WORKSHOP FOR PARENTS 2019 Math... · r r ´ • Singapore Primary Mathematics curriculum • Assessment objectives of Mathematics examination and to the structure of the

External Transfer with Unchanged Difference

When Mrs Wang is 29 years old, her daughter is 5 years old. In how many years time will she be 4 times as old as her daughter?

Mrs Wang

Daughter29 – 5 = 24

3 u 241 u 24 ÷ 3 = 88 – 5 = 3

Ans: In 3 years time

Page 26: MATHEMATICS WORKSHOP FOR PARENTS 2019 Math... · r r ´ • Singapore Primary Mathematics curriculum • Assessment objectives of Mathematics examination and to the structure of the

“Every Seng Kang Primary student an Inventive Thinker, a Confident Leader and a Gracious Citizen”“Every Seng Kang Primary student an Inventive Thinker, a Confident Leader and a Gracious Citizen”

Fixed Mindset Growth Mindset

Intelligence is static Intelligence can be developed

Leads a desire to look smart and therefore a tendency to

Leads to a desire to learn and therefore a tendency to

• Avoid challenges • Embrace challenges

• Give up easily due to obstacles • Persist despite obstacles

• See effort as fruitless • See effort as path to mastery

• Be threatened by others success • Be inspired by others success

As a result, they may plateau early and achieve less than their full potential

As a result, they reach higher level of achievement

Growth Mindset

Page 27: MATHEMATICS WORKSHOP FOR PARENTS 2019 Math... · r r ´ • Singapore Primary Mathematics curriculum • Assessment objectives of Mathematics examination and to the structure of the

“Every Seng Kang Primary student an Inventive Thinker, a Confident Leader and a Gracious Citizen”“Every Seng Kang Primary student an Inventive Thinker, a Confident Leader and a Gracious Citizen”

Importance of Home Support• Ask questions – do not give solutions/answers

X “This is wrong. The right answer should be …”

√ “What makes you say that”

√ “Can you show me how you worked out your sum”

√ “What is the next step. Why did you do this? How did you use these numbers?”

• Good questions drive learning – there is no prescribed list or set guidelines- it comes from students contributions/responses.

Page 28: MATHEMATICS WORKSHOP FOR PARENTS 2019 Math... · r r ´ • Singapore Primary Mathematics curriculum • Assessment objectives of Mathematics examination and to the structure of the

“Every Seng Kang Primary student an Inventive Thinker, a Confident Leader and a Gracious Citizen”“Every Seng Kang Primary student an Inventive Thinker, a Confident Leader and a Gracious Citizen”

Useful WebsitesTopic Websites

Whole

Numbers

http://nlvm.usu.edu/ http://www.crickweb.co.uk/

http://www.numbernut.com/ http://www.learningplanet.com/

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

Addition &

Subtractionhttp://www.kidsnumbers.com/ http://www.aaamath.com/

Multiplication

Tables

http://fun4thebrain.com/ http://www.ictgames.com/

http://www.apples4theteacher.com/

Fractions

http://nlvm.usu.edu/ (select Number & Operations – Fractions – Naming & Visualising)

http://www.visualfractions.com/ (click Identify Fractions with Circles)

http://www.ixl.com

Page 29: MATHEMATICS WORKSHOP FOR PARENTS 2019 Math... · r r ´ • Singapore Primary Mathematics curriculum • Assessment objectives of Mathematics examination and to the structure of the

“Every Seng Kang Primary student an Inventive Thinker, a Confident Leader and a Gracious Citizen”“Every Seng Kang Primary student an Inventive Thinker, a Confident Leader and a Gracious Citizen”

Topic Websites

Time

http://www.softschools.com (go to Telling Time – What Time is it?)

http://www.teachingtime.co.uk

Graphshttps://sg.ixl.com/math/primary-5/create-line-graphs

Pie Charts https://sg.ixl.com/math/primary-6/pie-charts-with-fractions

Angles in

triangles &

quadrilaterals

https://sg.ixl.com/math/primary-6/find-missing-angles-in-triangles-and-

quadrilaterals

Shapes and

Patterns

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

http://www.primarygames.com

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

MOE Math

Syllabushttp://www.moe.gov.sg/education/syllabuses/sciences/

Page 30: MATHEMATICS WORKSHOP FOR PARENTS 2019 Math... · r r ´ • Singapore Primary Mathematics curriculum • Assessment objectives of Mathematics examination and to the structure of the

“Every Seng Kang Primary student an Inventive Thinker, a Confident Leader and a Gracious Citizen”“Every Seng Kang Primary student an Inventive Thinker, a Confident Leader and a Gracious Citizen”

Sample questions – P6 Exam

• Paper 1 A (Multiple Choice)• Paper 1B (Short Answer) • Paper 2 (Short Answer & Long Answer)

Page 31: MATHEMATICS WORKSHOP FOR PARENTS 2019 Math... · r r ´ • Singapore Primary Mathematics curriculum • Assessment objectives of Mathematics examination and to the structure of the

“Every Seng Kang Primary student an Inventive Thinker, a Confident Leader and a Gracious Citizen”“Every Seng Kang Primary student an Inventive Thinker, a Confident Leader and a Gracious Citizen”

Thank You