Learn how to use our latest features. Show me →
Get started
Counting Strategies
3 4 5 6 Pre & Primary Essentials Resources Mathematics Number & Place Value 4 Pages

Counting Strategies

Including the Jump Strategy, Split Strategy and Compensation Strategy, these charts provide a highly visual, step by step approach to assist students learning to add and subtract 2 digit numbers.

Having trouble downloading? Follow our step-by-step guide

Learning goals

  • We are learning to recall addition facts to 20 and apply to related subtraction facts using a range of strategies.
  • We are learning to recall addition and subtraction facts to 20 and to develop mental strategies for larger numbers.
  • We are learning to use a range of mental strategies to solve simple addition and subtraction problems.
  • We are learning to recognise and explain multiplying and dividing by 10 using place value charts, numeral expanders or sliders and to use a calculator to understand the relationship between the place value of digits when multiplying and dividing by 10.
  • We are learning to partition, rearrange and regroup numbers to at least tens of thousands using place value groupings.
  • We are learning to solve practical problems involving addition and multiplication and choosing operations and efficient calculation strategies to solve the problem.
  • We are learning to use efficient mental and written strategies and calculators to solve problems.
  • We are learning to solve practical problems involving natural and rational numbers and percentages in financial contexts.
  • We are learning to select and apply efficient mental and written strategies and digital technologies to solve problems involving addition, subtraction, multiplication and division with whole numbers.

Curriculum alignment

AC9M6N09 9 Use mathematical modelling to solve practical problems, involving rational numbers and percentages, including in financial contexts; formulate the problems, choosing operations and efficient calculation strategies, and using digital tools where appropriate; interpret and communicate solutions in terms of the situation, justifying the choices made AC9M2A02 9 Recall and demonstrate proficiency with addition facts to 20; extend and apply facts to develop related subtraction facts AC9M3A02 9 Extend and apply knowledge of addition and subtraction facts to 20 to develop efficient mental strategies for computation with larger numbers without a calculator AC9M4N05 9 Solve problems involving multiplying or dividing natural numbers by multiples and powers of 10 without a calculator, using the multiplicative relationship between the place value of digits AC9M5N09 9 Use mathematical modelling to solve practical problems involving additive and multiplicative situations including financial contexts; formulate the problems, choosing operations and efficient calculation strategies, using digital tools where appropriate; interpret and communicate solutions in terms of the situation ACMNA073 8.4 Apply place value to partition, rearrange and regroup numbers to at least tens of thousands to assist calculations and solve problems ACMNA123 8.4 Select and apply efficient mental and written strategies and appropriate digital technologies to solve problems involving all four operations with whole numbers ACMNA055 8.4 Recall addition facts for single-digit numbers and related subtraction facts to develop increasingly efficient mental strategies for computation ACMNA291 8.4 Use efficient mental and written strategies and apply appropriate digital technologies to solve problems
MA2-3WM old Checks the accuracy of a statement and explains the reasoning used MA3-5NA old Selects and applies appropriate strategies for addition and subtraction with counting numbers of any size MA3-3WM old Gives a valid reason for supporting one possible solution over another MA3-2WM old Selects and applies appropriate problem- solving strategies, including the use of digital technologies, in undertaking investigations MA3-1WM old Describes and represents mathematical situations in a variety of ways using mathematical terminology and some conventions MA3-6NA old Selects and applies appropriate strategies for multiplication and division, and applies the order of operations to calculations involving more than one operation MA2-5NA old Uses mental and written strategies for addition and subtraction involving two-, three-, four- and five-digit numbers MA2-2WM old Selects and uses appropriate mental or written strategies, or technology, to solve problems MA2-1WM old Uses appropriate terminology to describe, and symbols to represent, mathematical ideas MA1-4NA old Applies place value, informally, to count, order, read and represent two- and three-digit numbers MA1-3WM old Supports conclusions by explaining or demonstrating how answers were obtained MA1-2WM old Uses objects, diagrams and technology to explore mathematical problems MA1-1WM old Describes mathematical situations and methods using everyday and some mathematical language, actions, materials, diagrams and symbols MA3-RN-01 new Applies an understanding of place value and the role of zero to represent the properties of numbers MA3-RN-02 new Compares and orders decimals up to 3 decimal places MA3-RN-03 new Determines percentages of quantities, and finds equivalent fractions and decimals for benchmark percentage values MA3-MR-02 new Constructs and completes number sentences involving multiplicative relations, applying the order of operations to calculations MA3-AR-01 new Selects and applies appropriate strategies to solve addition and subtraction problems MA2-MR-02 new Completes number sentences involving multiplication and division by finding missing values MA2-MR-01 new Represents and uses the structure of multiplicative relations to 10 × 10 to solve problems MA2-AR-02 new Completes number sentences involving addition and subtraction by finding missing values MA2-AR-01 new Selects and uses mental and written strategies for addition and subtraction involving 2- and 3-digit numbers MA2-RN-02 new Represents and compares decimals up to 2 decimal places using place value MA2-RN-01 new Applies an understanding of place value and the role of zero to represent numbers to at least tens of thousands MA3-MR-01 new Selects and applies appropriate strategies to solve multiplication and division problems MA1-CSQ-01 new Uses number bonds and the relationship between addition and subtraction to solve problems involving partitioning
VCMNA185 Use efficient mental and written strategies and apply appropriate digital technologies to solve problems VCMNA153 Apply place value to partition, rearrange and regroup numbers to at least tens of thousands to assist calculations and solve problems VCMNA133 Recall addition facts for single-digit numbers and related subtraction facts to develop increasingly efficient mental strategies for computation VCMNA191 Create simple financial plans VCMNA103 Investigate number sequences, initially those increasing and decreasing by twos, threes, fives and ten from any starting point, then moving to other sequences VCMNA107 Solve simple addition and subtraction problems using a range of efficient mental and written strategies VCMNA209 Select and apply efficient mental and written strategies and appropriate digital technologies to solve problems involving all four operations with whole numbers and make estimates for these computations

Australian Curriculum covers QLD / SA / WA / NT / TAS / ACT.

Teach it your way

Finding related resources…
Finding related resources…

Related resources

Subscribe to our newsletter

Get free, ready-to-use resources for Foundation to Year 6 classrooms delivered to your inbox. Printables, lesson ideas, and classroom activities, all in one place.