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