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3rd grade math

Program of study for 3rd grade

The CCSS core curriculum for 3rd grade covers a range of categories, including:

  • Number and place value
    Students learn about place value up to 10,000, and how to use this knowledge to solve problems. They learn to compare, order, and round numbers. They explore number patterns and sequences. They also learn how to count forwards and backwards in steps of powers of 10.

  • Addition and subtraction
    Students learn how to add and subtract whole numbers with up to 3 digits, including using formal written methods (columnar addition and subtraction). They will also learn how to add and subtract numbers mentally with increasingly large numbers.

  • Multiplication and division
    Students learn how to multiply and divide whole numbers by 10 and 100 (keeping to whole number quotients). They also learn how to solve problems involving missing factors and multiples.

  • Fractions
    Students learn how to compare and order fractions, and how to express fractions in the same denomination. They also learn how to simplify fractions and add, subtract and multiply fractions.

  • Measurement
    Students explore various aspects of measurement, including length, mass, volume, and time. They convert between different units of measurement and approximate equivalence between metric and imperial units.

  • Geometry & shapes
    Students study properties of shapes and angles. They learn to identify, classify, and describe 2D shapes such as squares, rectangles, triangles, and circles. They also learn how to calculate the area and perimeter of 2D shapes. They begin to understand basic properties of triangles and quadrilaterals.

  • Position & direction
    Students begin to explore simple reflections and translations.

  • Statistics
    Students explore different tables and line graphs and use them to identify facts.

  • Algebra
    Students learn about basic algebraic concepts, such as variables and equations. They learn how to solve simple algebraic problems.

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Math topic index for 3rd grade

Below is the complete list of topics for 3rd grade arranged by category. Click on a topic to view more information.

Counting
In steps of 6
In steps of 7
In steps of 9
In steps of 25
In steps of 1000
Backward in 10s
Interpreting a number
Temperature graph

Comparing numbers
4-digit numbers
Order decimal numbers
Position of decimals
Money
Time
  • 7 minutes fast
    If the clock is fast by 7 minutes, what is the correct time?
  • 12 minutes slow
    If the clock is slow by exactly 12 minutes calculate the correct time

Pattern
Number patterns
Times table patterns

Place value
Identify the place value
Rounding numbers
Change the place value
Practical problems

Addition
Number bonding
Strings of numbers
Round + adjust to add
Matching additions
Word problems
Formal written method

Subtraction
Subtract by round & adjust
Matching subtractions
Formal written method
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 + Subtract
Add 49, 59, 69
  • Adding 49
    Add 49 to a number by first adding 50 and then subtracting 1 from the result
  • Adding 59
    Add 59 to a number by first adding 60 and then subtracting 1
  • Adding 69
    Add 69 to a number by first adding 70 and then subtracting 1
Add 51, 61, 71
  • Adding 51
    Add 51 to a number by first adding 50 and then adding 1 more
  • Adding 61
    Add 61 to a number by first adding 60 and then adding 1 more
  • Adding 71
    Add 71 to a number by first adding 70 and then adding 1 more
Subtract 49, 59, 69
  • Subtracting 49
    Subtract 49 from a number by subtracting 50 and then adding 1 back
  • Subtracting 59
    Subtract 59 from a number by subtracting 60 and then adding 1
  • Subtracting 69
    Subtract 69 from a number by subtracting 70 and then adding 1
Subtract 51, 61, 71
  • Subtracting 51
    Subtract 51 from a number by subtracting 50 and then subtracting 1 more
  • Subtracting 61
    Subtract 61 from a number by subtracting 60 and then subtracting 1 more
  • Subtracting 71
    Subtract 71 by subtracting 70 and then subtracting 1 more
Number machine
Checking answers

Multiplication
Number facts
Number machine
Identifying multiples
Using place value
Mental arithmetic
One-step problems
Distributive laws
Two-step problems
  • Two categories
    If there are x cakes and y drinks how many different combinations of cakes and drinks are there?
  • Three categories
    Given 3 categories of items how many different combinations of items are there?

Division
Dividing numbers
  • Divide by 6
    Do these divisions by 6 and choose the correct answer
  • Divide by 7
    Do these divisions by 7 and choose the correct answer
  • Divide by 9
    Divide by 9 and choose the correct answer
One-step problems
Reverse times tables
Number machine

Multiply + Divide
Matching Pairs
Number machine
Checking answers
Derived facts
  • Derive facts: divison
    Use the given statements to derive facts about divisions (e.g. 2 x 3 = 6 so 6 ÷ 3 = 2)
Best Price

Fractions
Name fractions
Compare fractions
Fractions of money
Fractions of measures
  • Fractions of a measure
    Calculate what the given fraction (¼, ½, ¾) of each decimal amount will be e.g. ¼ of 400 ml
Number line
Fractions to percent
Add fractions
Subtract fractions
Decimals
Fractions and decimals

Measurements
Estimate
Calculate
Compare: length
Compare: weight
Compare: cost
  • Cheapest option
    Use addition or multiplication to work out which of the 2 options costs the least
  • Most expensive option
    Use addition or multiplication to work out which of the 2 options is more expensive
Capacity
Telling the time
Convert units

Shapes
Identifying shapes
Angles
Properties of 2-D shapes

Position + Direction
Position on a 2-D grid
Translate a shape
  • Right 3, up 3
    Identify the shape that has moved 3 squares right and 3 squares up
  • Right 3, down 3
    Identify the shape that has moved 3 squares right and 3 squares down
Describe the translation
  • Right and up
    Describe the translation of the pink square to the green square using right and up
  • Right and down
    Describe the translation of the pink square to the green square using right & down
  • Left and up
    Describe the translation of the red square to the green square using left and up
  • Left and down
    Describe the translation of the green square to the pink square using left and down
Shapes that turn
Plot points
  • What polygon is formed
    Take the plotted points and the additional point coordinates to identify the polygon that is formed

Statistics
Bar charts
Tables
Venn diagrams
Time graphs

Algebra
Equations
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