   ## Math categories for 2nd grade

Free Math Games offers 16 top level categories for 2nd grade. Taken together, these categories cover the majority of the US math curriculum for 2nd grade.

See the list of topics for 2nd grade or select a math category from the table below to see the available sub-categories and topics, or go directly to the 2nd grade games, lessons and tests.

## Program of study for 2nd grade

The CCSS core curriculum for 2nd grade covers a range of categories, including:

• Number and place value
Students develop a solid understanding of place value, including numbers up to 1,000. They also learn how to count forwards and backwards in steps of 4 and 8, and in steps of 10, 20, 30, 40, 50, and 100. They compare 3 digit numbers and distinguish odd and even.

Students learn how to add and subtract whole numbers with up to 3 digits. They study number bonding up to 1000. They also learn how to add and subtract numbers mentally including with 3 digit numbers.

• Multiplication and division
Students learn how to multiply and divide whole numbers by 10 and 100 in addition to multiples of 2, 3 and 5. They learn the area model method of multiplication and reverse times tables for division.

• Fractions
Students learn about unit fractions and equivalent fractions, and how to compare fractions by size. They learn how to add fractions with the same denominator. They learn to compare simple fractions and decimals.

• Measurement
Students explore various aspects of measurement, including length, mass and time. They add, subtract and compare measurements with related units. They understand 24 hour times and how to compare durations in different units.

• Geometry & shapes
Students learn to identify and describe 2D shapes such as squares, rectangles, triangles, and circles. They talk about numbers of corners and sides. They learn by comparing horizontal and vertical lines, and parallel and perpendicular lines.

• Position & direction
Students begin to explore shapes that turn and simple translations.

• Statistics
Students explore pictographs, bar charts and tables and use them to identify facts.

In addition to these specific categories, students will also develop their fluency with mathematical concepts and their ability to solve mathematical problems. ## Math topic index for 2nd grade

Below is the complete list of topics for 2nd grade arranged by category. Click on a topic to view more information.

Counting
In steps of 4 (0 to 50)
In steps of 8
In steps of 20, 30 and 40
In steps of 50 and 100
Interpreting a number
Temperature graph

Comparing numbers
3-digit numbers
• Largest 3-digit number
From a selection of four 3-digit numbers choose the largest number
• Smallest 3-digit number
Choose the smallest number from a selection of 4 three-digit numbers
• Middle number
Choose the number that is in between the smallest and largest of these 3-digit numbers
• Ascending order
Choose the correct order from smallest to largest for these sets of four 3-digit numbers
• Descending order
Choose the correct order from largest to smallest for these sets of four 3-digit numbers
Odds and evens 20 to 100
Order decimal numbers
Halfway between decimals
Money
Time

Pattern
Number patterns
Times table patterns

Place value
20 more, 20 less
• 20 more
Work out the number that is 20 more than the given number between 0 and 100
• 20 less
Work out the number that is 20 less than the given number between 20 and 100
40 more, 40 less
• 40 more
Pick the number that is 40 more than the given number between 0 and 100
• 40 less
Pick the number that is 40 less than the given number between 40 and 100
Identifying place values
Units, tens or hundreds
Rounding numbers
Solve number problems

Number bonding
Mental calculations
One-step problems
Word problems

Subtraction
Subtracting numbers
One-step problems
Matching subtractions
Word problems
• How many more?
Use subtraction to find how many more items one person has than the other person
• How many are left?
Use subtraction to find out the number of items that are remaining

Add 9 by first adding 10 to a number and then subtracting 1 from the result
Add 19 by first adding 20 to a number and then subtracting 1 from the result
Add 29 by first adding 30 to a number and then subtracting 1 from the result
Add 39 by first adding 40 to a number and then subtracting 1 from the result
Subtract 9, 19 ,29, 39
• Subtracting 9
Subtract 9 by subtracting 10 from a number then adding 1
• Subtracting 19
Subtract 19 by subtracting 20 from a number then adding 1
• Subtracting 29
Subtract 29 by subtracting 30 from a number then adding 1
• Subtracting 39
Subtract 39 by subtracting 40 from a number then adding 1
Subtract 11, 21, 31, 41
• Subtracting 11
Subtract 11 by subtracting 10 and then subtracting 1 more
• Subtracting 21
Subtract 21 by subtracting 20 and then subtracting 1 more
• Subtracting 31
Subtract 31 by subtracting 30 and then subtracting an extra 1
• Subtracting 41
Subtract 41 by subtracting 40 and then subtracting 1 more
Number machine

Multiplication
Number facts
Count in steps
Mental arithmetic
Area model
Number machine
Identifying multiples
• Multiples of 2
Choose the greatest multiple of 2 from the list
• Multiples of 3
Choose the smallest multiple of 3 from the list
• Multiples of 5
Choose the smallest multiple of 5 from the list
• Multiples of 10
Find the multiple of 10, smallest multiple of 10 or largest multiple of 10 from the lists
One-step problems
Problem solving
• Possible choices
Use multiplication to work out how many different combination choices you have
• Scaling problems
Calculate the size an object or model given that a scale model of the object is 10x larger or smaller
Commutative properties

Division
Dividing numbers
• Divide by 3
Do these divisions by 3 and choose the correct answer
• Divide by 4
Do these divisions by 4 and choose the correct answer
• Divide by 8
Do these divisions by 8 and choose the correct answer
Formal method
Reverse times tables
Number machine

Multiply + Divide
Matching Pairs
Number machine
Doubles and halves

Fractions
Name fractions
Create fractions
Compare fractions
Fractions of amounts
Number line
Fractions and division
Fractions and decimals

Measurements
Estimating
Compare: length
Compare: weight
Measuring objects
Telling the time
Compare: time
Money
Mixed units

Shapes
Identifying shapes
Properties of 2-D shapes
Angles
• Identify right angles
Identify whether the given angles are right angles or are angles greater than or less than a right angle
Lines

Position + Direction
Shapes that turn
• Turn clockwise
Pick the shape after it has done a quarter, a half or a three-quarter turn clockwise
• Turn anticlockwise
Pick the shape after it has done a quarter, a half or a three-quarter turn anticlockwise
Translate a shape
• Left 2, up 2
Which shape has moved two squares to the left and two squares up?
• Right and up
Which shape has moved the given number of squares right and up

Statistics
Pictographs
• Interpret pictographs
Use the pictograph to count the number of children who did different activities
• Many to one correspondence
Use pictographs with a many to one correspondence to see which people like certain fruit
• How many more
Compare how many people like 2 different fruit using pictographs with many to one correspondences
Bar charts
Tables
• Interpret tables
Use the data tables to answer questions about how many pupils get to school in different ways
• Most or least frequent
From the frequency tables say which way of getting to school was most or least common
• Tables: how many more
For each table work out how many more pupils got to school by one means rather than another

Algebra
Equations  