   ## Math categories for 1st grade

Free Math Games offers 15 top level categories for 1st grade. Taken together, these categories cover the majority of the US math curriculum for 1st grade.

See the list of topics for 1st grade or select a math category from the table below to see the available sub-categories and topics, or go directly to the 1st grade games, lessons and tests.

## Program of study for 1st grade

The CCSS core curriculum for 1st grade covers a range of categories, including:

• Number and place value
Students learn how to read, write, order, and compare numbers up to 100. They also learn how to count forwards and backwards in steps of 2, 3 and 5.

Using number bonding and otherwise, students learn how to add and subtract whole numbers with up to 2 digits. They study number bonding up to 100.

• Multiplication and division
Students consider multiplication via repeat addition. They are introduced to division by dividing objects into groups. Students learn how to multiply and divide whole numbers by 2 and 10. They are introduced to the two, five and ten times tables.

• Fractions
Students are introduced to the concept of fractions. They learn to recognize and name halves and quarters, understanding that they represent parts of a whole or a set. They learn to calculate half a number and a quarter of a number.

• Measurement
Students learn to measure using appropriate units, compare and order measurements, and solve simple measurement problems. They also begin to understand the concept of time, including telling time to the hour and half-hour.

• Shapes
Students identify 2D and 3D shapes by name. They study some properties of 2D shapes including the number of sides and corners.

• Position & direction
Students begin to explore shapes that are rotated through a quarter, a half or three-quarters.

• Statistics
Students explore pictographs, tally charts and block diagrams and use them to identify facts.

In addition to these specific categories, pupils also develop their ability to solve real life problems using the mathematical principles they have been introduced to. ## Math topic index for 1st grade

Below is the complete list of topics for 1st grade arranged by category. Click on a topic to view more information.

Counting
Count down
In steps of 2 (0 to 50)
In steps of 3 (0 to 50)
In steps of 5 (0 to 50)

Comparing numbers
Biggest and smallest
Bigger and smaller
Odds & evens 20 to 50
Order numbers
Halfway between
Money

Pattern
Number patterns
Shape patterns
Times table patterns

Place value
10 more, 10 less
Identifying place values
What do the digits mean
Partitioning numbers
Rounding numbers

Number bonding
One-step problems
Word problems

Subtraction
Subtracting numbers
Number facts
One-step problems
Matching subtractions
Word problems

Add 19 by adding 20 to a number and then subtracting 1
Add 18 by first adding 20 to a number and then subtracting 2 from the result
• Subtract 19
To subtract 19 from a number subtract 20 and then add 1
• Subtract 18
Subtract 18 by subtracting 20 from a number then adding 2
Subtract and then subtract
• Subtract 21
Subtract 21 by subtracting 20 from a number then subtracting 1 more
• Subtract 22
Subtract 22 by subtracting 20 from a number then subtracting 2 more
Number machine

Multiplication
Number facts
Count in steps
Mental method
Progressive method
• Progressive method
Progressive method: choose the addition sum that gives the same answer as the multiplication
Number machine
Times tables

Division
Dividing objects
• Divide into 3 groups
If you divide the fruit into 3 groups, say how many fruit will be in each group
• Divide into 5 groups
If you divide the shapes into five equal groups, say how many shapes will be in each group
Dividing numbers
• Divide by 2
Do the division by two and select the correct answer
• Divide by 5
Do these divisions by 5 and choose the correct answer
• Divide by 10
Do these division by 10 sums and select the correct answer
Reverse times tables
Number machine

Multiply + Divide
Matching Pairs
Number machine
Words and symbols
• Words and symbols
Choose the correct missing words or symbols for these multiplication & division sums
Inverse law

Fractions
Name fractions
Fractions of things
Fractions of numbers
Number line

Measurements
Estimating
Compare: height
Compare: length
Compare: weight/mass
Compare: volume
Measuring objects
Telling the time
Compare: time
Money

Shapes
Identifying shapes
Properties of 2-D shapes
• How many sides
Count the number of sides on each of these 2-dimensional shapes
Properties of 3-D shapes
Compare and sort
• 2D shapes by name
From these lists of names of shapes, identify those that are 2 dimensional (2D)
• 3D shapes by name
From these lists of names of shapes identify those that are 3 dimensional (3D)

Position + Direction
Shapes that turn
Side to side movement
• Move left
Pick the shape that has moved 1, 2 or 3 squares to the left
• Move right
Pick the shape that has moved 1, 2 or 3 squares to the right

Statistics
Interpret and present data
• Pictographs
Use the pictographs to count the number of different fruit that were eaten
• Tally charts
Use the tally charts to count the number of different fruit that were eaten
• Block diagrams
Use the block diagrams to count the number of different fruit that were eaten
• Frequency tables
Use the frequency tables to decide the number of different fruit that were eaten
Pictograph problems
• Compare categories
Use the pictographs to identify fruit categories with the most, fewest or same number of items
• How many more items
From the pictographs say how many more items a certain category has than another category
• Two to one correspondence
Use pictographs with a two to one correspondence to count the number of people who like different fruit
• Ten to one correspondence
Use these pictographs with a ten to one correspondence to count items in categories
Tally chart problems
• Most or least
From the tally charts say which category of fruit are eaten most or least
• How many more?
From the tally charts say how many more items a category has than another category  