Learn // Topics

All topics

Search by name, or narrow by subject, age, and type. Open a topic to see the ages it covers, what to learn first, and where it leads.

1 to 24 of 504 topics

By subject and area, youngest first

  • Mathematics // Addition & Subtraction

    Subtraction as taking away or separating

    Understand subtraction as taking away or separating from a group to find how many remain

    Ages 4 to 6Concept
  • Mathematics // Addition & Subtraction

    Addition as combining or putting together two

    Understand addition as combining or putting together two groups to find the total

    Ages 4 to 6Concept
  • Mathematics // Addition & Subtraction

    Number bonds to 9

    Find the number that makes 10 when added to a given number from 1 to 9 (number bonds to 10)

    Ages 4 to 6Method
  • Mathematics // Addition & Subtraction

    Numbers up to 10 into pairs

    Decompose numbers up to 10 into pairs in more than one way (part-part-whole)

    Ages 4 to 6Concept
  • Mathematics // Addition & Subtraction

    Addition and subtraction word problems

    Solve addition and subtraction word problems within 10 using objects or drawings

    Ages 4 to 6Method
  • Mathematics // Addition & Subtraction

    Representing Addition and Subtraction

    Represent addition and subtraction using objects, drawings, and mental images

    Ages 4 to 6Representation
  • Mathematics // Addition & Subtraction

    Reading +, −, and = symbols

    Read, write, and interpret the symbols +, −, and = in number sentences

    Ages 5 to 6Language
  • Mathematics // Addition & Subtraction

    Fluent adding and subtracting within 5

    Fluently add and subtract within 5

    Ages 5 to 6Method
  • Mathematics // Addition & Subtraction

    Number bonds

    Recall number bonds (addition and related subtraction facts) within 20

    Ages 5 to 6Method
  • Mathematics // Addition & Subtraction

    Adding and subtracting

    Add and subtract one-digit and two-digit numbers to 20, including zero

    Ages 5 to 6Method
  • Mathematics // Addition & Subtraction

    Early Word Problems

    Solve one-step word problems involving addition and subtraction to 20, including missing-number problems

    Ages 5 to 7Method
  • Mathematics // Addition & Subtraction

    Addition and subtraction within 20

    Add and subtract within 20 using strategies such as making ten, decomposing a number leading to ten, and using known facts

    Ages 6 to 7Method
  • Mathematics // Addition & Subtraction

    Fluent adding and subtracting within 10

    Fluently add and subtract within 10

    Ages 6 to 7Method
  • Mathematics // Addition & Subtraction

    Adding within 100

    Add within 100 using strategies based on place value, including adding a two-digit and one-digit number, and a two-digit and a multiple of 10

    Ages 6 to 7Method
  • Mathematics // Addition & Subtraction

    What the equals sign means

    Understand the meaning of the equal sign as 'is the same as' and determine if equations are true or false

    Ages 6 to 7Concept
  • Mathematics // Addition & Subtraction

    Addition in any order

    Understand and apply the commutative property of addition: addends can be added in any order

    Ages 6 to 7Concept
  • Mathematics // Addition & Subtraction

    Finding a missing number in addition

    Understand subtraction as finding an unknown addend (e.g. 10 − 8 = ? is the same as 8 + ? = 10)

    Ages 6 to 7Concept
  • Mathematics // Addition & Subtraction

    Inverse: addition undoes subtraction

    Recognise and use the inverse relationship between addition and subtraction to check calculations and solve missing-number problems

    Ages 6 to 7Concept
  • Mathematics // Addition & Subtraction

    Mental and written addition and subtraction

    Solve addition and subtraction problems using mental and written methods, including problems involving numbers, quantities, and measures

    Ages 6 to 7Method
  • Mathematics // Addition & Subtraction

    Adding two two-digit numbers

    Add and subtract two two-digit numbers using concrete objects, pictorial representations, and mental methods

    Ages 6 to 7Method
  • Mathematics // Addition & Subtraction

    Mental addition and subtraction (age 6+)

    Add and subtract a two-digit number and ones mentally and using concrete/pictorial representations

    Ages 6 to 7Method
  • Mathematics // Addition & Subtraction

    Unknown in Addition & Subtraction

    Determine the unknown whole number in an addition or subtraction equation relating three whole numbers

    Ages 6 to 7Method
  • Mathematics // Addition & Subtraction

    Fluent addition and subtraction

    Recall and use addition and subtraction facts to 20 fluently, and derive and use related facts up to 100

    Ages 6 to 7Method
  • Mathematics // Addition & Subtraction

    Adding and subtracting tens mentally

    Add and subtract a two-digit number and tens mentally and using concrete/pictorial representations

    Ages 6 to 7Method