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Multiplication Strategies for Tougher Facts - Student Reference Card
3 4 Pre & Primary Essentials Resources Mathematics Number & Place Value 1 Page

Multiplication Strategies for Tougher Facts - Student Reference Card

This student reference card summarises five efficient strategies for mastering the tougher multiplication facts (4× to 9×). Each section includes a visual scaffold of the strategy with a worked example:

  • 4× – Double the 2×
  • 6× – Double the 3×
  • 7× – Add 5× + 2×
  • 8× – Double, double, double again
  • 9× – 10× minus 1 group


Formatted 2-to-a-page for easy printing and distribution, these cards are ideal for student book boxes, pencil cases, maths folders, or as a desk reference during multiplication lessons.

Learning goals

  • We are learning to solve multiplication problems using mental and written strategies and calculators to check our answers.
  • We are learning to describe, continue and create number patterns and use addition and subtraction to identify the rule.
  • We are learning to recall multiplication facts up to 10 × 10 and related division facts.
  • We are learning to use a range of strategies to solve multiplication and division where there is no remainder.
  • We are learning to solve word problems by using number sentences involving multiplication or division where there is no remainder.
  • We are learning to use estimation and rounding to check the reasonableness of answers to calculations.
  • We are learning to solve problems involving modelling addition, subtraction, multiplication and division, using different strategies.
  • We are learning to follow and create number sentences to investigate number patterns and rules and to find emerging patterns.
  • We are learning to use a range of strategies to solve addition, subtraction, multiplication and division where there is no remainder.
  • We are learning to use estimation and rounding to check and explain calculations including transactions involving money.
  • We are learning to recall multiplication facts up to 10 x 10 and related division facts, developing efficient mental strategies.

Curriculum alignment

AC9M4A02 9 Recall and demonstrate proficiency with multiplication facts up to 10 x 10 and related division facts; extend and apply facts to develop efficient mental strategies for computation with larger numbers without a calculator AC9M4N07 9 Choose and use estimation and rounding to check and explain the reasonableness of calculations including the results of financial transactions AC9M4N06 9 Develop efficient strategies and use appropriate digital tools for solving problems involving addition and subtraction, and multiplication and division where there is no remainder AC9M3N07 9 Follow and create algorithms involving a sequence of steps and decisions to investigate numbers; describe any emerging patterns AC9M3N06 9 Use mathematical modelling to solve practical problems involving additive and multiplicative situations including financial contexts; formulate problems using number sentences and choose calculation strategies, using digital tools where appropriate; interpret and communicate solutions in terms of the situation ACMNA060 8.4 Describe, continue, and create number patterns resulting from performing addition or subtraction ACMNA099 8.4 Use estimation and rounding to check the reasonableness of answers to calculations ACMNA082 8.4 Solve word problems by using number sentences involving multiplication or division where there is no remainder ACMNA076 8.4 Develop efficient mental and written strategies and use appropriate digital technologies for multiplication and for division where there is no remainder ACMNA075 8.4 Recall multiplication facts up to 10 × 10 and related division facts ACMNA057 8.4 Represent and solve problems involving multiplication using efficient mental and written strategies and appropriate digital technologies
MA2-6NA old Uses mental and informal written strategies for multiplication and division MA2-3WM old Checks the accuracy of a statement and explains the reasoning used 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 MA2-8NA old Generalises properties of odd and even numbers, generates number patterns, and completes simple number sentences by calculating missing values MA3-1WM old Describes and represents mathematical situations in a variety of ways using mathematical terminology and some conventions MA3-2WM old Selects and applies appropriate problem- solving strategies, including the use of digital technologies, in undertaking investigations MA3-3WM old Gives a valid reason for supporting one possible solution over another MA3-5NA old Selects and applies appropriate strategies for addition and subtraction with counting numbers of any size 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 MA2-AR-01 new Selects and uses mental and written strategies for addition and subtraction involving 2- and 3-digit numbers MA2-AR-02 new Completes number sentences involving addition and subtraction by finding missing values MA2-MR-01 new Represents and uses the structure of multiplicative relations to 10 × 10 to solve problems MA2-MR-02 new Completes number sentences involving multiplication and division by finding missing values MA2-PF-01 new Represents and compares halves, quarters, thirds and fifths as lengths on a number line and their related fractions formed by halving (eighths, sixths and tenths)
VCMNA182 Use estimation and rounding to check the reasonableness of answers to calculations VCMNA162 Solve word problems by using number sentences involving multiplication or division where there is no remainder VCMNA156 Develop efficient mental and written strategies and use appropriate digital technologies for multiplication and for division where there is no remainder VCMNA155 Recall multiplication facts up to 10 × 10 and related division facts VCMNA139 Use a function machine and the inverse machine as a model to apply mathematical rules to numbers or shapes VCMNA138 Describe, continue, and create number patterns resulting from performing addition or subtraction VCMNA135 Represent and solve problems involving multiplication using efficient mental and written strategies and appropriate digital technologies

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

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