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Remember we’ve explored a variety of strategies you can use when approaching any new maths problem.

Your mathematician’s strategy toolbox includes:

  • Do I know a similar problem?j0395714.gif
  • Guess, check and improve
  • Try a simpler problem
  • Write an equation
  • Make a list or table
  • Work backwards
  • Act it out
  • Draw a picture or graph
  • Make a model
  • Look for a pattern
  • Try all possibilities
  • Seek an exception
  • Break the problem into smaller parts
  • and ……………………….

If one way doesn’t work I just start again another way.

For more tips on Working Mathematically: The Process go to the Maths 300 webpage.

How to read and respond to a word based maths problem:

  • make your prediction
  • list and work through the things you need to clarify such as words , phrases or concepts (include relevant facts and details)
  • identify the the BIG question
  • decide how you are going to go about solving the problem (include the strategy/ies from the Mathematician’s Toolbox you use
  • summarise the process you just went through, remember to word it so you include the initial question with your answer


Key Idea Interactive Activity
  • understand the size and order of small numbers (up to thousandths) and large numbers (up to millions)
Blocks to represent number

Place Value

Rounding Numbers

Place Value Mystery Numbers

  • model positive and negative whole numbers and zero, common fractions and decimals
Real world integers

Negative Numbers

Application of Integers

Signed Numbers

  • place numbers, decimals and common fractions on a number line
  • find the lowest common multiple of numbers
Multiples in Pascal’s Triangle
  • interpret numbers and their factors by using rectangular arrays (for example, the factors of 12 can be found by making rectangles of dimensions 1 x 12, 2 x 6, and 3 x 4)
Multiplication with Array

Multiplication Array

Dividing with Array

Introducing Patterns

Exploring Patterns

Multiplication Table

Multiplication Square

  • identify square, prime and composite numbers
Prime Number Generator
  • create factor sets (for example, using factor trees) and identify the highest common factor of two or more numbers
Finding Prime Factors

Factor Game

Venn Factors

Prime Factor Tree

Factor Tree


  • recognise and calculate simple powers of whole numbers (for example, 2 to the power of 4 = 16)
  • use decimals, ratios and percentages to find equivalent representations of common fractions (for example, 3/4 = 9/12 = 075 = 75% = 3 : 4 = 6
Visual Fractions

Virtual Pattern Blocks

  • explain and use mental and written algorithms (problem solving) for the addition, subtraction, multiplication and division of natural numbers (positive whole numbers)
OperationsTraining-Operations Testing
  • add, subtract, and multiply fractions and decimals (to two decimal places) and apply these operations in practical contexts, including the use of money
Adding Decimals

Adding Fractions

  • use estimates for computations and apply criteria to determine if estimates are reasonable or not


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