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Students work out fractional values of whole numbers in a range of contexts and show their working.

Students discuss making an interval estimate in multiplication problems (i.e., getting a lower and an upper limit for the actual answer using the front-end and rounding-up estimation methods). They then use this method on two problems.

Students calculate the repair charges for two different washing machine repair companies, and compare and explain their results.

Students solve mathematical problems involving distance, and identify parts of an algebraic expression.

Students calculate the cost of hiring a search and rescue helicopter and compare this cost with another helicopter company's charges.

Students use a number line to show how to solve whole number subtraction problems.

Students use a number line to show how to solve whole number subtraction problems.

Students answer maths problems involving multiplication and show their strategies.

Students use a number line to show how to solve whole number addition and subtraction problems.

Students draw shapes of given areas, and choose from the bigger area, explaining their reasoning.

Students use percentages to calculate heights of a building from the total height. They then explain how to calculate another percentage.

Students show how they solve equal sharing problems.

Students solve subtraction story problems and show their strategies.

Students write number sentences for story problems, and create story problems from number sentences.

Students identify towns and cities on a map using compass points.

Students solve different forms of addition equations.

Students use the additive identity and the commutative property to assist them to solve simple equations without calculating.

Students select a non-standard unit of measure to measure an envelope and explain their choice.

Students predict nets that fold to make a cube, then cut out and fold the nets to check their prediction.

Students solve different forms of subtraction equations.

Students interpret graphs showing the different ways that four people run a race.

Students show how to solve a series of algebraic expressions by substituting given numbers.

Students estimate a subtraction problem, share their methods, discuss the rounding one number method, and then do more problems by rounding one number.

Students complete addition and subtraction equations that explore part-whole relationships.

Students round given decimal numbers to the nearest tenths, hundredths, and thousandths and identify possible original numbers from rounded numbers.