Class 2 Mathematics
Build stronger mathematical skills through 30 lessons covering numbers to 1000, place value, addition, subtraction, multiplication, division, fractions, geometry, measurement, time, money, pictographs and patterns.
๐ข Numbers & Place Value
Reading and Writing Numbers up to 1000
Numbers can be represented using numerals and number names. In Class 2, we extend our understanding from two-digit numbers to numbers up to 1000.
248 โ two hundred forty-eight
590 โ five hundred ninety
999 โ nine hundred ninety-nine
1000 โ one thousand
Three hundred twenty-five = ______
Eight hundred four = ______
Number Names from 101 to 1000
Number names allow us to write numbers using words. Reading the place values carefully helps us say and write large numbers correctly.
125 โ one hundred twenty-five
306 โ three hundred six
470 โ four hundred seventy
725 โ seven hundred twenty-five
1000 โ one thousand
215 = __________________
608 = __________________
999 = __________________
Understanding Hundreds, Tens and Ones
Place value tells us the value of a digit according to its position. A three-digit number can contain hundreds, tens and ones.
3 hundreds = 300
4 tens = 40
7 ones = 7
347 = 300 + 40 + 7
5 = ______
2 = ______
6 = ______
10 tens = 1 hundred
Writing Numbers in Expanded Form
Expanded form shows the value of each digit separately.
782 = 700 + 80 + 2
305 = 300 + 5
640 = 600 + 40
325 = __________________
709 = __________________
Comparing Three-Digit Numbers
To compare three-digit numbers, begin with the hundreds digits. If they are equal, compare the tens, and then the ones.
245 < 289
567 = 567
For 472 and 459, both have 4 hundreds. Compare the tens: 7 tens > 5 tens, so 472 > 459.
325 ___ 352
608 ___ 580
711 ___ 711
Ordering Three-Digit Numbers
Numbers can be arranged in ascending order from smallest to greatest, or descending order from greatest to smallest.
Ascending: 267, 312, 425, 508
Descending: 508, 425, 312, 267
612, 199, 450, 305
Identifying Odd and Even Numbers
An even number can be divided into pairs with nothing left over. An odd number leaves one item without a partner when arranged in pairs.
Odd: 1, 3, 5, 7, 9, 11
A whole number ending in 0, 2, 4, 6 or 8 is even. A whole number ending in 1, 3, 5, 7 or 9 is odd.
27 = ______
48 = ______
103 = ______
โ Addition
Two-Digit Addition Without Regrouping
When the ones add to less than 10, we can add two-digit numbers without regrouping.
Ones: 3 + 4 = 7
Tens: 2 + 1 = 3
23 + 14 = 37
41 + 16 = ___
53 + 24 = ___
Two-Digit Addition With Regrouping
If the ones add to 10 or more, we regroup 10 ones as 1 ten.
Ones: 8 + 7 = 15
15 = 1 ten + 5 ones
Write 5 ones and regroup 1 ten.
Tens: 2 + 1 + 1 = 4
28 + 17 = 45
36 + 29 = ___
โ Subtraction
Two-Digit Subtraction Without Regrouping
When each top digit is large enough to subtract the digit below it, we can subtract without regrouping.
Ones: 8 โ 4 = 4
Tens: 5 โ 2 = 3
58 โ 24 = 34
49 โ 27 = ___
Two-Digit Subtraction With Regrouping
If there are not enough ones to subtract, we can regroup one ten as ten ones.
Regroup 1 ten from 5 tens.
52 becomes 4 tens and 12 ones.
12 โ 8 = 4
4 โ 2 = 2
52 โ 28 = 24
61 โ 36 = ___
Solving Mixed Addition and Subtraction Problems
Mixed problems require us to decide whether addition or subtraction is needed.
24 + 15 = 39
Aman has 42 marbles and gives away 17.
42 โ 17 = 25
โ๏ธ Multiplication & Division
Understanding Multiplication as Repeated Addition
Multiplication is a quick way to add equal groups.
4 + 4 + 4 = 12
3 ร 4 = 12
2 + 2 + 2 + 2 + 2 = 10
5 ร 2 = 10
3 + 3 + 3 + 3 = ______
Learning Multiplication Tables from 2 to 5
Multiplication tables help us calculate equal groups quickly.
Table of 3: 3, 6, 9, 12, 15…
Table of 4: 4, 8, 12, 16, 20…
Table of 5: 5, 10, 15, 20, 25…
3 ร 4 = ___
4 ร 5 = ___
5 ร 7 = ___
Understanding Division as Equal Sharing
Division can be understood as sharing a quantity equally among groups.
Each child receives 4 apples.
12 รท 3 = 4
How many pencils does each child receive?
๐ Fractions & Geometry
Finding Halves, Thirds and Quarters
Fractions describe equal parts of a whole.
Third (1/3): 1 of 3 equal parts
Quarter (1/4): 1 of 4 equal parts
Identifying Straight and Curved Lines
Lines can have different forms. At this level, we compare straight and curved lines.
Curved: โฟโฟโฟโฟโฟ
The edge of a ruler is straight. The outline of a circle is curved.
Exploring Sides and Corners of Shapes
Many 2D shapes can be described by counting their straight sides and corners, also called vertices.
Square: 4 sides, 4 corners
Rectangle: 4 sides, 4 corners
How many sides does a square have?
Building Growing and Repeating Patterns
A repeating pattern repeats the same rule. A growing pattern changes by increasing according to a rule.
๐ด ๐ต ๐ด ๐ต ๐ด ๐ต
Growing:
2, 4, 6, 8, 10…
โฒ โ โฒ โ ___ ___
3, 6, 9, 12, ___, ___
๐ Measurement
Measuring Length Using Standard Units
Length tells us how long, short, tall or far something is. Standard units allow people to measure in the same way.
Metre (m) โ useful for larger lengths
The length of a classroom might be measured in metres.
Length of an eraser โ ___
Length of a classroom โ ___
Measuring Weight Using Kilograms
Kilograms are used to measure the mass of many everyday objects. The abbreviation for kilogram is kg.
A watermelon may weigh a few kilograms.
A large bag of rice: 5 kg or 5 m?
Measuring Liquid Capacity Using Litres
A litre is a standard unit used for measuring the capacity of many containers and quantities of liquid. Its symbol is L.
A bucket may hold several litres.
A bottle of water โ litre or kilogram?
๐ Time & Calendar
Reading Time to Half-Hour
A clock can show exact hours and half-hours. One hour contains 60 minutes, so half an hour is 30 minutes.
3:30 โ half past three
7:30 โ half past seven
At half past an hour, the minute hand points to 6.
What does 8:30 mean?
Using a Calendar to Find Dates
A calendar organises days into weeks and months. It helps us identify dates and plan events.
6th โ Tuesday
7th โ Wednesday
8th โ Thursday
Today’s date
The date one week from today
The day of the week on the last date of this month
๐ฐ Money & Data
Counting and Comparing Money
We can add the values of coins and notes to find a total amount, then compare two amounts.
โน20 is greater than โน15.
โน8 is less than โน12.
โน10 + โน10 + โน5 = โน___
Which is greater: โน35 or โน28?
Making Amounts Using Coins and Notes
The same amount of money can often be made in different ways.
โน10 + โน10
โน10 + โน5 + โน5
โน5 + โน5 + โน5 + โน5
Reading and Creating Simple Pictographs
A pictograph uses pictures or symbols to represent data. A key tells us how much each symbol represents.
Key: โ = 2 students
Apple: โ โ โ
Banana: โ โ
Mango: โ โ โ โ
Apple = 6 students
Banana = 4 students
Mango = 8 students
1. Which fruit is most popular?
2. How many students chose bananas?
3. How many more chose mangoes than apples?
๐ Patterns, Groups & Problem Solving
Skip Counting by 3s, 4s and 5s
Skip counting means adding the same number repeatedly as we count. It helps prepare us for multiplication.
3, 6, 9, 12, 15, 18, 21…
By 4s:
4, 8, 12, 16, 20, 24, 28…
By 5s:
5, 10, 15, 20, 25, 30, 35…
4, 8, 12, ___, ___
5, 10, 15, ___, ___
Introduction to Equal Groups
Equal groups contain the same number of objects in every group. Understanding equal groups builds the foundation for multiplication and division.
There are 3 equal groups.
Each group contains 3 apples.
There are 9 apples altogether.
3 + 3 + 3 = 9
3 ร 3 = 9
How many circles are there altogether?
Solving Everyday Measurement Problems
Measurement helps us solve real-life problems involving length, mass and capacity. First identify what is being measured and then choose a suitable unit.
A ribbon is 35 cm long. Another ribbon is 20 cm long.
35 + 20 = 55 cm
Mass:
One bag weighs 3 kg and another weighs 2 kg.
3 + 2 = 5 kg
Capacity:
A container has 6 L of water. Two litres are used.
6 โ 2 = 4 L
2. A container holds 8 L of water. Three litres are used. How much remains?
3. One bag weighs 4 kg and another weighs 3 kg. What is their total mass?