maths smart grade 2 © 2012 alston publishing house pte ltd about

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M a t h s S M A R T G r a d e 2 © 2 0 1 2 A l s t o n P u b l i s h i n g H o u s e P t e L t d About

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Page 1: Maths SMART Grade 2 © 2012 Alston Publishing House Pte Ltd About

Maths SM

ART Grade 2 ©

2012 Alston Publishing House Pte LtdAbout

Page 2: Maths SMART Grade 2 © 2012 Alston Publishing House Pte Ltd About

AboutM

aths SMART G

rade 2 © 2012 Alston Publishing H

ouse Pte Ltd

Example:

Jess is as tall as the metre ruler. She is about 1 metre tall.

Page 3: Maths SMART Grade 2 © 2012 Alston Publishing House Pte Ltd About

Maths SM

ART Grade 2 ©

2012 Alston Publishing House Pte LtdAdd mentally

Page 4: Maths SMART Grade 2 © 2012 Alston Publishing House Pte Ltd About

Add mentallyM

aths SMART G

rade 2 © 2012 Alston Publishing H

ouse Pte Ltd

Example:

Add 58 and 8 mentally.

Page 5: Maths SMART Grade 2 © 2012 Alston Publishing House Pte Ltd About

Maths SM

ART Grade 2 ©

2012 Alston Publishing House Pte LtdAfter

Page 6: Maths SMART Grade 2 © 2012 Alston Publishing House Pte Ltd About

AfterM

aths SMART G

rade 2 © 2012 Alston Publishing H

ouse Pte Ltd

Example:

Tuesday comes after Monday.

Page 7: Maths SMART Grade 2 © 2012 Alston Publishing House Pte Ltd About

Maths SM

ART Grade 2 ©

2012 Alston Publishing House Pte Ltda.m.

Page 8: Maths SMART Grade 2 © 2012 Alston Publishing House Pte Ltd About

a.m.M

aths SMART G

rade 2 © 2012 Alston Publishing H

ouse Pte Ltd

Any time from midnight to before noon.

Example:

7.25 in the morning can also be written as 7.25 a.m.

Page 9: Maths SMART Grade 2 © 2012 Alston Publishing House Pte Ltd About

Maths SM

ART Grade 2 ©

2012 Alston Publishing House Pte LtdBar graph

Page 10: Maths SMART Grade 2 © 2012 Alston Publishing House Pte Ltd About

Bar graphM

aths SMART G

rade 2 © 2012 Alston Publishing H

ouse Pte Ltd

A bar graph uses bars instead of pictures or symbols to show data.

Example:

Page 11: Maths SMART Grade 2 © 2012 Alston Publishing House Pte Ltd About

Maths SM

ART Grade 2 ©

2012 Alston Publishing House Pte LtdBefore

Page 12: Maths SMART Grade 2 © 2012 Alston Publishing House Pte Ltd About

BeforeM

aths SMART G

rade 2 © 2012 Alston Publishing H

ouse Pte Ltd

Example:

Wednesday comes before Thursday.

Page 13: Maths SMART Grade 2 © 2012 Alston Publishing House Pte Ltd About

Maths SM

ART Grade 2 ©

2012 Alston Publishing House Pte LtdCalendar

Page 14: Maths SMART Grade 2 © 2012 Alston Publishing House Pte Ltd About

CalendarM

aths SMART G

rade 2 © 2012 Alston Publishing H

ouse Pte Ltd

A table or chart that shows the days of the week and months of the year.

Example:

This calendar is for the month of January in the year 2012.

Page 15: Maths SMART Grade 2 © 2012 Alston Publishing House Pte Ltd About

Maths SM

ART Grade 2 ©

2012 Alston Publishing House Pte LtdCarroll diagram

Page 16: Maths SMART Grade 2 © 2012 Alston Publishing House Pte Ltd About

Carroll diagramM

aths SMART G

rade 2 © 2012 Alston Publishing H

ouse Pte Ltd

A Carroll diagram helps us sort data in a ‘yes’ or ‘no’ manner. A simple Carroll diagram has two groups.

If the first group is labelled ‘A’, then the second group is usually labelled ‘Not A’.

Page 17: Maths SMART Grade 2 © 2012 Alston Publishing House Pte Ltd About

Carroll diagramM

aths SMART G

rade 2 © 2012 Alston Publishing H

ouse Pte Ltd

Example:

The Carroll diagram sorts the children according to whether they wear glasses.

Page 18: Maths SMART Grade 2 © 2012 Alston Publishing House Pte Ltd About

Maths SM

ART Grade 2 ©

2012 Alston Publishing House Pte LtdCentimetre (cm)

Page 19: Maths SMART Grade 2 © 2012 Alston Publishing House Pte Ltd About

Centimetre (cm)M

aths SMART G

rade 2 © 2012 Alston Publishing H

ouse Pte Ltd

A unit of measurement for length.

Example:

The length from the 0 mark to the 1 mark on the ruler is 1 centimetre (or 1 cm).

Page 20: Maths SMART Grade 2 © 2012 Alston Publishing House Pte Ltd About

Maths SM

ART Grade 2 ©

2012 Alston Publishing House Pte LtdCents (¢)

Page 21: Maths SMART Grade 2 © 2012 Alston Publishing House Pte Ltd About

Cents (¢)M

aths SMART G

rade 2 © 2012 Alston Publishing H

ouse Pte Ltd

A unit of measurement for money.

Example:

The quarter has a value of 25 cents. We can also write it as 25¢.

Page 22: Maths SMART Grade 2 © 2012 Alston Publishing House Pte Ltd About

Maths SM

ART Grade 2 ©

2012 Alston Publishing House Pte LtdChange

Page 23: Maths SMART Grade 2 © 2012 Alston Publishing House Pte Ltd About

ChangeM

aths SMART G

rade 2 © 2012 Alston Publishing H

ouse Pte Ltd

Example:

Tom buys a top that costs 45¢.

He will get back 30¢ in change if he pays the cashier 75¢.

Page 24: Maths SMART Grade 2 © 2012 Alston Publishing House Pte Ltd About

Maths SM

ART Grade 2 ©

2012 Alston Publishing House Pte LtdDivide

Page 25: Maths SMART Grade 2 © 2012 Alston Publishing House Pte Ltd About

DivideM

aths SMART G

rade 2 © 2012 Alston Publishing H

ouse Pte Ltd

We divide to share objects equally among groups or put objects into equal groups to find the number of groups. We use ÷ when we divide.

Page 26: Maths SMART Grade 2 © 2012 Alston Publishing House Pte Ltd About

DivideM

aths SMART G

rade 2 © 2012 Alston Publishing H

ouse Pte Ltd

Example:

Share the storybooks equally between Tom and Ari.

Each boy gets 2 storybooks.

Page 27: Maths SMART Grade 2 © 2012 Alston Publishing House Pte Ltd About

Maths SM

ART Grade 2 ©

2012 Alston Publishing House Pte LtdDivision sentence

Page 28: Maths SMART Grade 2 © 2012 Alston Publishing House Pte Ltd About

Division sentenceM

aths SMART G

rade 2 © 2012 Alston Publishing H

ouse Pte Ltd

Example:

‘4 ÷ 2 = 2’ is a division sentence. We read this as ‘4 divided by 2 equals 2’.

Page 29: Maths SMART Grade 2 © 2012 Alston Publishing House Pte Ltd About

Maths SM

ART Grade 2 ©

2012 Alston Publishing House Pte LtdDollars ($)

Page 30: Maths SMART Grade 2 © 2012 Alston Publishing House Pte Ltd About

Dollars ($)M

aths SMART G

rade 2 © 2012 Alston Publishing H

ouse Pte Ltd

A unit of measurement for money.

Example:

This note has a value of 10 dollars. We can also write it as $10.

Page 31: Maths SMART Grade 2 © 2012 Alston Publishing House Pte Ltd About

Maths SM

ART Grade 2 ©

2012 Alston Publishing House Pte LtdDouble

Page 32: Maths SMART Grade 2 © 2012 Alston Publishing House Pte Ltd About

DoubleM

aths SMART G

rade 2 © 2012 Alston Publishing H

ouse Pte Ltd

When we find the double of a number, we add the number to itself.

Example:

Double of 20 = 20 + 20So, double of 20 = 40.

Page 33: Maths SMART Grade 2 © 2012 Alston Publishing House Pte Ltd About

Maths SM

ART Grade 2 ©

2012 Alston Publishing House Pte LtdEarlier

Page 34: Maths SMART Grade 2 © 2012 Alston Publishing House Pte Ltd About

EarlierM

aths SMART G

rade 2 © 2012 Alston Publishing H

ouse Pte Ltd

Example:

2.10 p.m. is 30 minutes earlier than 2.40 p.m.

Page 35: Maths SMART Grade 2 © 2012 Alston Publishing House Pte Ltd About

Maths SM

ART Grade 2 ©

2012 Alston Publishing House Pte LtdGram (g)

Page 36: Maths SMART Grade 2 © 2012 Alston Publishing House Pte Ltd About

Gram (g)M

aths SMART G

rade 2 © 2012 Alston Publishing H

ouse Pte Ltd

A unit of measurement for mass.

Example:

The mass of the sweet is 5 grams (or 5 g).

Page 37: Maths SMART Grade 2 © 2012 Alston Publishing House Pte Ltd About

Maths SM

ART Grade 2 ©

2012 Alston Publishing House Pte LtdHalf

Page 38: Maths SMART Grade 2 © 2012 Alston Publishing House Pte Ltd About

HalfM

aths SMART G

rade 2 © 2012 Alston Publishing H

ouse Pte Ltd

When we find half of a number, we divide the number by 2.

Example:

24 ÷ 2 = 12So, half of 24 is 12.

Page 39: Maths SMART Grade 2 © 2012 Alston Publishing House Pte Ltd About

Maths SM

ART Grade 2 ©

2012 Alston Publishing House Pte LtdHalf litre ( l)2

1

Page 40: Maths SMART Grade 2 © 2012 Alston Publishing House Pte Ltd About

Maths SM

ART Grade 2 ©

2012 Alston Publishing House Pte Ltd

Half litre ( l)12

A unit of measurement for capacity.

Example:

The capacity of the vase is half litre (or l).21

Page 41: Maths SMART Grade 2 © 2012 Alston Publishing House Pte Ltd About

Maths SM

ART Grade 2 ©

2012 Alston Publishing House Pte LtdHeavier

Page 42: Maths SMART Grade 2 © 2012 Alston Publishing House Pte Ltd About

HeavierM

aths SMART G

rade 2 © 2012 Alston Publishing H

ouse Pte Ltd

Example:

The pineapple is heavier than the papaya.

Page 43: Maths SMART Grade 2 © 2012 Alston Publishing House Pte Ltd About

Maths SM

ART Grade 2 ©

2012 Alston Publishing House Pte LtdHeaviest

Page 44: Maths SMART Grade 2 © 2012 Alston Publishing House Pte Ltd About

HeaviestM

aths SMART G

rade 2 © 2012 Alston Publishing H

ouse Pte Ltd

Example:

The watermelon is the heaviest.

Page 45: Maths SMART Grade 2 © 2012 Alston Publishing House Pte Ltd About

Maths SM

ART Grade 2 ©

2012 Alston Publishing House Pte LtdKilograms (kg)

Page 46: Maths SMART Grade 2 © 2012 Alston Publishing House Pte Ltd About

Kilograms (kg)M

aths SMART G

rade 2 © 2012 Alston Publishing H

ouse Pte Ltd

A unit of measurement for mass.

Example:

The mass of the bag of sugar is 1 kilogram (or 1 kg).

Page 47: Maths SMART Grade 2 © 2012 Alston Publishing House Pte Ltd About

Maths SM

ART Grade 2 ©

2012 Alston Publishing House Pte LtdLater

Page 48: Maths SMART Grade 2 © 2012 Alston Publishing House Pte Ltd About

LaterM

aths SMART G

rade 2 © 2012 Alston Publishing H

ouse Pte Ltd

Example:

10.20 a.m. is 1 hour later than 9.20 a.m.

1 hr later

Page 49: Maths SMART Grade 2 © 2012 Alston Publishing House Pte Ltd About

Maths SM

ART Grade 2 ©

2012 Alston Publishing House Pte LtdLess than

Page 50: Maths SMART Grade 2 © 2012 Alston Publishing House Pte Ltd About

Less thanM

aths SMART G

rade 2 © 2012 Alston Publishing H

ouse Pte Ltd

Example:

The stool is shorter than the metre ruler. It is less than 1 metre tall.

Page 51: Maths SMART Grade 2 © 2012 Alston Publishing House Pte Ltd About

Maths SM

ART Grade 2 ©

2012 Alston Publishing House Pte LtdLighter

Page 52: Maths SMART Grade 2 © 2012 Alston Publishing House Pte Ltd About

LighterM

aths SMART G

rade 2 © 2012 Alston Publishing H

ouse Pte Ltd

Example:

The tennis ball is lighter than the basketball.

Page 53: Maths SMART Grade 2 © 2012 Alston Publishing House Pte Ltd About

Maths SM

ART Grade 2 ©

2012 Alston Publishing House Pte LtdLightest

Page 54: Maths SMART Grade 2 © 2012 Alston Publishing House Pte Ltd About

LightestM

aths SMART G

rade 2 © 2012 Alston Publishing H

ouse Pte Ltd

Example:

The beach ball is the lightest.

Page 55: Maths SMART Grade 2 © 2012 Alston Publishing House Pte Ltd About

Maths SM

ART Grade 2 ©

2012 Alston Publishing House Pte LtdLitre (l)

Page 56: Maths SMART Grade 2 © 2012 Alston Publishing House Pte Ltd About

Litre (l)M

aths SMART G

rade 2 © 2012 Alston Publishing H

ouse Pte Ltd

A unit of measurement for capacity.

Example:

This is a 1 litre (or 1 l) measuring jug.

Page 57: Maths SMART Grade 2 © 2012 Alston Publishing House Pte Ltd About

Maths SM

ART Grade 2 ©

2012 Alston Publishing House Pte LtdLonger

Page 58: Maths SMART Grade 2 © 2012 Alston Publishing House Pte Ltd About

LongerM

aths SMART G

rade 2 © 2012 Alston Publishing H

ouse Pte Ltd

Example:

Pencil B is longer than Pencil A.

Pencil C

Pencil B

Pencil A

Page 59: Maths SMART Grade 2 © 2012 Alston Publishing House Pte Ltd About

Maths SM

ART Grade 2 ©

2012 Alston Publishing House Pte LtdLongest

Page 60: Maths SMART Grade 2 © 2012 Alston Publishing House Pte Ltd About

LongestM

aths SMART G

rade 2 © 2012 Alston Publishing H

ouse Pte Ltd

Example:

Pencil C is the longest.

Pencil C

Pencil B

Pencil A

Page 61: Maths SMART Grade 2 © 2012 Alston Publishing House Pte Ltd About

Maths SM

ART Grade 2 ©

2012 Alston Publishing House Pte LtdMetre (m)

Page 62: Maths SMART Grade 2 © 2012 Alston Publishing House Pte Ltd About

Metre (m)M

aths SMART G

rade 2 © 2012 Alston Publishing H

ouse Pte Ltd

A unit of measurement for length.

Example:

The ruler is 1 metre (or 1 m) long.

Page 63: Maths SMART Grade 2 © 2012 Alston Publishing House Pte Ltd About

Maths SM

ART Grade 2 ©

2012 Alston Publishing House Pte LtdMidnight

Page 64: Maths SMART Grade 2 © 2012 Alston Publishing House Pte Ltd About

MidnightM

aths SMART G

rade 2 © 2012 Alston Publishing H

ouse Pte Ltd

The end of one day and the start of the next.

Example:

Page 65: Maths SMART Grade 2 © 2012 Alston Publishing House Pte Ltd About

Maths SM

ART Grade 2 ©

2012 Alston Publishing House Pte LtdMore than

Page 66: Maths SMART Grade 2 © 2012 Alston Publishing House Pte Ltd About

More thanM

aths SMART G

rade 2 © 2012 Alston Publishing H

ouse Pte Ltd

Example:

The teacher is taller than the metre ruler.She is more than 1 metre tall.

Page 67: Maths SMART Grade 2 © 2012 Alston Publishing House Pte Ltd About

Maths SM

ART Grade 2 ©

2012 Alston Publishing House Pte LtdMultiples

Page 68: Maths SMART Grade 2 © 2012 Alston Publishing House Pte Ltd About

MultiplesM

aths SMART G

rade 2 © 2012 Alston Publishing H

ouse Pte Ltd

Example:

When any number is multiplied by 2, the answer is a multiple of 2.

Page 69: Maths SMART Grade 2 © 2012 Alston Publishing House Pte Ltd About

Maths SM

ART Grade 2 ©

2012 Alston Publishing House Pte Ltd

Multiplication sentence

Page 70: Maths SMART Grade 2 © 2012 Alston Publishing House Pte Ltd About

Multiplication sentenceM

aths SMART G

rade 2 © 2012 Alston Publishing H

ouse Pte Ltd

Example:

‘2 × 4 = 8’ is a multiplication sentence. We read this as ‘2 times 4 equals 8’.

Page 71: Maths SMART Grade 2 © 2012 Alston Publishing House Pte Ltd About

Maths SM

ART Grade 2 ©

2012 Alston Publishing House Pte LtdMultiply

Page 72: Maths SMART Grade 2 © 2012 Alston Publishing House Pte Ltd About

MultiplyM

aths SMART G

rade 2 © 2012 Alston Publishing H

ouse Pte Ltd

When we add equal groups together, we are multiplying. We use × when we multiply.

Page 73: Maths SMART Grade 2 © 2012 Alston Publishing House Pte Ltd About

MultiplyM

aths SMART G

rade 2 © 2012 Alston Publishing H

ouse Pte Ltd

Example:

We can multiply to find out how many apples there are.

2 groups of 4 = 8 2 × 4 = 8

There are 8 apples altogether.

Page 74: Maths SMART Grade 2 © 2012 Alston Publishing House Pte Ltd About

Maths SM

ART Grade 2 ©

2012 Alston Publishing House Pte LtdNoon

Page 75: Maths SMART Grade 2 © 2012 Alston Publishing House Pte Ltd About

NoonM

aths SMART G

rade 2 © 2012 Alston Publishing H

ouse Pte Ltd

Middle of the day.

Example:

Page 76: Maths SMART Grade 2 © 2012 Alston Publishing House Pte Ltd About

Maths SM

ART Grade 2 ©

2012 Alston Publishing House Pte LtdNote

Page 77: Maths SMART Grade 2 © 2012 Alston Publishing House Pte Ltd About

NoteM

aths SMART G

rade 2 © 2012 Alston Publishing H

ouse Pte Ltd

Example:

This is a one dollar ($1) note. It has two sides – front and back.

Page 78: Maths SMART Grade 2 © 2012 Alston Publishing House Pte Ltd About

Maths SM

ART Grade 2 ©

2012 Alston Publishing House Pte LtdNumber bond

Page 79: Maths SMART Grade 2 © 2012 Alston Publishing House Pte Ltd About

Number bondM

aths SMART G

rade 2 © 2012 Alston Publishing H

ouse Pte Ltd

A number bond shows the parts that make up the whole.

Example:

2 and 5 make 7.

Page 80: Maths SMART Grade 2 © 2012 Alston Publishing House Pte Ltd About

Maths SM

ART Grade 2 ©

2012 Alston Publishing House Pte Ltdp.m.

Page 81: Maths SMART Grade 2 © 2012 Alston Publishing House Pte Ltd About

p.m.M

aths SMART G

rade 2 © 2012 Alston Publishing H

ouse Pte Ltd

Any time from noon to before midnight.

Example:

7.25 in the evening can also be written as 7.25 p.m.

Page 82: Maths SMART Grade 2 © 2012 Alston Publishing House Pte Ltd About

Maths SM

ART Grade 2 ©

2012 Alston Publishing House Pte Ltd

Repeated addition

Page 83: Maths SMART Grade 2 © 2012 Alston Publishing House Pte Ltd About

Repeated additionM

aths SMART G

rade 2 © 2012 Alston Publishing H

ouse Pte Ltd

Example:

We can use repeated addition to find out how many ducklings there are in 3 groups of 2.

3 groups of 2 = 2 + 2 + 2= 6

There are 6 ducklings in 3 groups of 2.

Page 84: Maths SMART Grade 2 © 2012 Alston Publishing House Pte Ltd About

Maths SM

ART Grade 2 ©

2012 Alston Publishing House Pte LtdScale

Page 85: Maths SMART Grade 2 © 2012 Alston Publishing House Pte Ltd About

ScaleM

aths SMART G

rade 2 © 2012 Alston Publishing H

ouse Pte Ltd

Measurements marked at regular intervals on a graph.

Example:

Scale

Page 86: Maths SMART Grade 2 © 2012 Alston Publishing House Pte Ltd About

Maths SM

ART Grade 2 ©

2012 Alston Publishing House Pte LtdShorter

Page 87: Maths SMART Grade 2 © 2012 Alston Publishing House Pte Ltd About

ShorterM

aths SMART G

rade 2 © 2012 Alston Publishing H

ouse Pte Ltd

Example:

Crayon C is shorter than Crayon A.

Page 88: Maths SMART Grade 2 © 2012 Alston Publishing House Pte Ltd About

Maths SM

ART Grade 2 ©

2012 Alston Publishing House Pte LtdShortest

Page 89: Maths SMART Grade 2 © 2012 Alston Publishing House Pte Ltd About

ShortestM

aths SMART G

rade 2 © 2012 Alston Publishing H

ouse Pte Ltd

Example:

Crayon B is the shortest.

Page 90: Maths SMART Grade 2 © 2012 Alston Publishing House Pte Ltd About

Maths SM

ART Grade 2 ©

2012 Alston Publishing House Pte Ltd

Subtract mentally

Page 91: Maths SMART Grade 2 © 2012 Alston Publishing House Pte Ltd About

Subtract mentallyM

aths SMART G

rade 2 © 2012 Alston Publishing H

ouse Pte Ltd

Example:

Subtract 4 from 46 mentally.

Page 92: Maths SMART Grade 2 © 2012 Alston Publishing House Pte Ltd About

Maths SM

ART Grade 2 ©

2012 Alston Publishing House Pte LtdTaller

Page 93: Maths SMART Grade 2 © 2012 Alston Publishing House Pte Ltd About

TallerM

aths SMART G

rade 2 © 2012 Alston Publishing H

ouse Pte Ltd

Example:

Giraffe B is taller than Giraffe A.

Page 94: Maths SMART Grade 2 © 2012 Alston Publishing House Pte Ltd About

Maths SM

ART Grade 2 ©

2012 Alston Publishing House Pte LtdTallest

Page 95: Maths SMART Grade 2 © 2012 Alston Publishing House Pte Ltd About

TallestM

aths SMART G

rade 2 © 2012 Alston Publishing H

ouse Pte Ltd

Example:

Giraffe C is the tallest.

Page 96: Maths SMART Grade 2 © 2012 Alston Publishing House Pte Ltd About

Maths SM

ART Grade 2 ©

2012 Alston Publishing House Pte LtdTimetable

Page 97: Maths SMART Grade 2 © 2012 Alston Publishing House Pte Ltd About

TimetableM

aths SMART G

rade 2 © 2012 Alston Publishing H

ouse Pte Ltd

Example:

This is a weekly timetable.

Page 98: Maths SMART Grade 2 © 2012 Alston Publishing House Pte Ltd About

Maths SM

ART Grade 2 ©

2012 Alston Publishing House Pte LtdWeighing scale

Page 99: Maths SMART Grade 2 © 2012 Alston Publishing House Pte Ltd About

Weighing scaleM

aths SMART G

rade 2 © 2012 Alston Publishing H

ouse Pte Ltd

A scale that measures the masses of objects.

Example:

We can read the mass of the notebook by looking at the markings on the weighing scale. The red pointer is at 100. So, the mass of the notebook is 100 g.