Mathematics Workshop for P1 Parents (2018)zhonghuapri.moe.edu.sg/qql/slot/u610/2018 briefing/Mat… · · 2018-01-05Concrete-Pictorial-Abstract (C-P-A)Approach. ZPS Math Department

ZPS Math Department

Mathematics Workshop

for P1 Parents (2018)

How to teach Mathematical concepts in a fun and meaningful way?

Team members: Mrs Raj & Mdm Suriana

ZPS Math Department

Our Focus

Love Math

Love Learning Math

Objective of the workshop:

• To understand mathematical concepts

through activities

• To apply mathematical concepts to real-world

context

• To help your child develop mathematical

concepts and skills through exploration at

home

ZPS Math Department

Primary One Topics:

• Numbers up to 100

• Number bonds

• Addition and Subtraction within 100

• Multiplication and Division

• Ordinal numbers

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Primary One Topics:

• Shapes and Patterns

• Length

• Time

• Money

• Picture Graph

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Concrete-Pictorial-Abstract

(C-P-A)Approach

Concrete-Pictorial-Abstract

(C-P-A)Approach

ZPS Math Department

Numbers 0 – 100- Number bonds- Comparing numbers using terms greater than/smaller

than, more than/less than/ fewer than, greatest number/smallest number

- Arrange numbers up to 100 in increasing/decreasing order

Money Length, Shapes

Useful tips

Overview of the workshop

ZPS Math Department

Specific Instructional Objectives

1.1 Counting to tell the number of objects in a given set

1.2 Number notation, representations and place values (tens,

ones)

1.3 Reading and writing numbers in numerals and in words

1.4 Comparing the number of objects in two or more sets

1.5 Comparing and ordering numbers

1.6 Patterns in number sequences

1.7 Ordinal numbers (first, second, up to tenth) and symbols

(1st, 2nd, 3th etc)

1.8 Number bonds for numbers up to 10

Numbers up to 100

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Counters: Buttons, beads, paper clips, pegs,

fruits, beans, sweets, bottles, cans, pencils,

crayons, stickers

Numbers up to 100

ZPS Math Department

Trays: Egg tray, ice cube tray, jelly mould,

cookie cups

Number cards, dice, chess pieces, ice-cream

sticks, plastic cups and bowls

Numbers up to 100

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Books

Numbers up to 100

What is our house’s unit number?

What is our neighbour’s unit number?

Which unit number comes first?

How many steps are there in the stairs?

Relating Math to Real Life

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What is a number bond?

• a mental picture of the relationship

between a number and the parts that

combine to make it.

• sometimes called an addition fact, it is a

simple addition sum which has become

so familiar that a child can recognise it

and complete it almost instantly

1) Number Bonds

part

part

whole

Number Bond Chart

P

P

W

Number Bond Chart

part

part

whole part

part

whole

part part

whole part part

whole

Number Bond Charts

4 + 3 = ____

P

P

W

P P W

4

3

7

7

Let’s complete the addition equation below

____ + 3 = 7

3 + ____ = 7

7 – 4 = ____

P

P

W

PPW

4

3

7

3

Let’s complete the subtraction equation…

7 – ____ = 3

____ – 3 = 4

• Use the following objects which can

be found at home to form Number

Bonds:

Rubber bands

Egg trays

Ice-cream sticks

Bottle caps


Number Bonds

Muffin cupcakes/ paper cups, and

ice-cream sticks

Number Bonds

Clothes hanger and Clothes pegs

10

10 10

Number Bonds

Egg tray, ice cube tray

Number bonds

can help…

make meaning and solve

story sums

Number Bonds

Mary has 15 pencils.

Lily has 4 pencils.

How many pencils do they have together?

They have ______ pencils altogether.

=

P P W

P P

W

Let’s solve the story sum together…

John has 20 stickers.

He gives his friend 11 stickers.

How many stickers does he have left?

He has______ stickers left.

=

PPW

P P

W

Let’s solve the story sum together…

ZPS Math Department

10 and 4 make 14

How many fish are there altogether?

We can make groups of 10 first.

2) Making Groups

ZPS Math Department

________ and _________ make ______

How many cats are there?

Making Groups

________ and _________ make ______10 6 16

Making Groups

How many cats are there?

15 + 4 = ____ T O

1 5

+ 4Step 1: Add the ones

5 + 4 = 9

Step 2: Add the tens

1 + 0 = 1

91

Make sure the

alignment of the ones

and tens are correct.

We can also add using algorithm or the

place value chart.

Addition and Subtraction

25 + 45 = T O

2 5

+ 4 5Step 1: Add the ones

5 + 5 = 10

Step 2: Regroup 10 ones into

1 ten and 0 one.

Step 3: Add the tens

1 + 2 + 4 = 7

1

07

Do not use words like

“borrow” when doing

the regrouping.

Another example


46 - 29 = T O

4 6

- 2 9Step 1: Regroup 4 tens 6 ones

into 3 tens 16 ones

Step 2: 16 – 9 = 7

Step 3: Subtract the tens

3 – 2 = 1

3

71

Use terms like

“regrouping” and

“renaming”.

An example of Subtraction

1


Using car licence plate number.

Add the first 2 digits (7 + 4 = 11)

Add the last 2 digits (8 + 4 = 12)

Add 11 and 12 to get the sum of the 4 digits.

Using Mental

Calculations


How many floors are there in our block?

How many floors are there in the next block?

Which block has more floors?

How many more red bicycles than yellow bicycles

are there in the void deck?

How many more cartons than tins are there?

There are 4 bicycles. Each bicycle has 2 wheels.

How many wheels are there?

Can you show me 2 groups of 3 apples?


ZPS Math Department

How many more?

How many less?

Which is more?

Which is less?

3) More or Less

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How best can we represent this information to find out

whether there are more circles or triangles?

How many more or fewer?

More or Less?

ZPS Math Department

Use a grid like this…

More or Less?

There are 2 more triangles than circles.

There are 2 fewer circles than triangles.

ZPS Math Department 5

Number Line

More or Less?

Are there more pineapples or apples?

Are there fewer oranges or grapes?

Using fruits

in the

supermarket

to compare

numbers.


A sack of rice A packet of flour

Which is more?

Which is less?


ZPS Math Department 5Money


3.1 Counting amount of money

- in cents up to $1

- in dollars up to $100

3.2 Solving 1-step word problems involving addition and

subtraction of money in dollars only (or in cents only)

Money

Newspapers, magazines, brochures

Play money, real money

Board games e.g. Monopoly

How much must we pay altogether?

How much change must the cashier give you?


ZPS Math Department 5Shapes


1.1 Identifying, naming, describing and classifying 2D shapes

- rectangle

- square

- circle

- Triangle

1.2 Making/completing patterns with 2D shapes according to

one or two of the following attributes

- size

- shape

- colour

- orientation

What is the shape of our door?

What is the shape of our window?

What is the shape of our table?


ZPS Math Department 5Length


1.1 Measuring and comparing the lengths of objects in non-

standard units

Which slide is longer?

How long is this playground (using footsteps)?


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New Topics in Primary 2

1) Fractions

2) Mass

3) Volume

ZPS Math Department

ZPS Math Department

Learning Outcomes• Interpret fractions in terms of equal parts of a

whole

• Relate to unit fractions and like fractions

• Compare and order fractions(with denominators of given fractions not exceeding 12)

• Add and subtract like fractions within one

whole(with denominators of given fractions not exceeding 12)

1) Fractions

1) Fractions

Provide examples of fractions in everyday situations

and use language such as “2 out of 4” to describe

fractions.

a) Concrete objects

b) Pictorial representations

1) Fractions

Each part is of the whole pizza.2

1

Cut the pizza

into two

equal parts.

1) Fractions

c) Fraction discs

1) Fractions

d) Fraction strips Compare the sizes of

different fractions.

1) Fractions

e) Paper folding

How do you fold a piece of square paper into quarters?

Step 1: Fold the paper into halves.

Step 2: Then fold it into quarters.

Unfold the paper and …How many

quarters

are there?

The following food items can be used

for hands-on activities.

a round pizza

chocolate bars

cakes


Cut the food items to

show the different parts

which make up a whole.

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Learning Outcomes

• Estimate and measure mass in

kilograms and grams

• Compare masses

• Solve word problems involving mass

2) Mass

Provide everyday examples to develop a sense of how

heavy 1 kilogram / 1 gram is, e.g. using the following

objects.

a packet of sugar/flour/rice

a pin

a piece of paper

a 5-cent coin


ZPS Math Department 2) Mass

Weighing scales

Balances

Provide learning

experiences

to read the mass of objects

using different weighing

scales and balances.

Provide learning experiences to measure the mass of

objects using non-standard units such as

interlocking cubes

paper clips

wooden blocks


Provide learning experiences to compare the mass of

different objects using balances.


Comparing mass of different fruits

Which is heavier,

the sack of rice

or the packet of

flour?


ZPS Math Department

Learning Outcomes

• Estimate and measure volume of liquid

in litres

• Compare volumes

• Solve word problems involving volume

of liquid

3) Volume

Provide learning experiences

using identical bottles to compare the amount of water.

3) Volume

3) Volume

Provide learning experiences of pouring liquid from one

container to another container of a different size and shape, to

understand conservation of volume.

(In other words, volume of liquid has not changed when liquid is

poured from one container to another.)

Which container

has more/less

water?


ZPS Math DepartmentZPS Math Department


Some guidelines

ZPS Math Department

1) Use pencil and ruler

2) Proportion (Pupils should draw a longer bar to

represent a greater number and a shorter bar to represent a

smaller number).

ZPS Math Department

Some guidelines

ZPS Math Department

3) Avoid clustering

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ZPS Math Department

Tips to support your child’s

learning of Math

4) Useful tips

ZPS Math Department

Did you know?

Your presence and involvement

in your child’s learning process

will encourage and support

your child

in his/her learning.

ZPS Math Department

ZPS Math Department

• Create a homework routine

- Work out a study timetable

- Encourage him/her to complete his/her

homework daily

• Focus on effort, not mistakes

- Let your child know that you recognise the

effort he/she is putting into the assignments.

Here are some tips…

ZPS Math Department

Use readily available manipulatives

• For Counting

Coins, Colour Pencils

Sweets, chocolates, Macaroni


ZPS Math Department

Use readily available manipulatives like

• For Comparing numbers/ Number bonds

Toys like Lego Blocks, Snake and

Ladder board game


• Play Math Games /

• Read Storybooks relating to

Mathematics

For example:

iPad apps – KGMATH, Ace Kids Math

Games HD Free Lite and other apps

Helping Your Child…

ZPS Math Department

• http://nlvm.usu.edu/

• http://nrich.maths.org/public

• http://www.bbc.co.uk/bitesize/ks1/maths/

• http://www.visualfractions.com/

• http://www.ixl.com/

Online Resources

Helping Your Child

ZPS Math Department

ZPS Math Department

Documents

Mathematics Workshop for P1 Parents (2018)zhonghuapri.moe.edu.sg/qql/slot/u610/2018 briefing/Mat… · · 2018-01-05Concrete-Pictorial-Abstract (C-P-A)Approach. ZPS Math Department