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Students evaluate and simplify algebraic expressions for the side lengths and perimeter of a composite shape. They then find x for a given perimeter.

Students write the simplest algebraic expressions for the lengths and area of parts of a composite shape, then solve these expressions using substitution. They then solve an equation that relates an algebraic expression to a given side length.

Using Pythagoras' theorem and trigonometry ratios, students calculate distances between people standing in a paddock.

Students use Pythagoras' theorem to find the unknown sides of right-angled triangles in three practical problems.

Students use Pythagoras' theorem to decide whether triangles are right-angled based on the lengths of their sides.

Students use trigonometry to calculate distances in practical problems.

Students identify the parts of a circle that lines on familiar signs and objects make.

Students identify nets that can fold to make a cube and explain how they know.

Students match pictures of 2- and 3-dimensional shapes with their correct names.

Students estimate the temperature and indicate it on a thermometer.

Students use plastic money to explore and continue a number pattern about going to a disco. They then describe the pattern.

Students show their understanding of the properties of zero and one, by filling in the missing numbers or signs (+ or ×) in a range of equations.

Students demonstrate their understanding of the properties of one and zero by completing missing numbers or operations in equations.

Students create and solve number sentences that represent story problems.

Students solve and write appropriate equations for story problems.

Students draw in the next two shapes in a spatial pattern, complete a table and rules about the pattern, then calculate the number of triangles in the 8th shape.

Students complete rules for number patterns generated using a calculator.

Students complete two number patterns and write down a rule for each.

Students use given numbers to work out rules for number machines.

Students explore the additive identity by deciding whether addition and subtraction number sentences are true or false.

Students complete linear equations for three practical word problems.

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

Student solve multiplication and division problems that involve money.

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

Students factorise a series of algebraic expressions.