Number and Algebra resources

Students identify square and cubic numbers mentally in a timed test.

Students interpret distance-time graphs for a number of scenarios.

Task: interpret a graph of a car's journey and add to the graph to represent a further description of the journey. Assessment focus: graph interpretation.

Students calculate the number of packets of biscuits that need to be sold, and how many house visits are needed to attain a given profit.

The start of a spatial pattern of triangles is shown and described in a table. Students generate more of the pattern and describe the relationships algebraically.

Students describe algebraic expressions in words.

Students use given ratios to determine the number of people performing kapa haka.

Students perform calculations using standard form.

Students interpret a line graph showing the distance travelled and the time for two car journeys and answer questions about time, distance and speed.

Students complete number pairs, and write the equations for three 'number machines'.

Students select the correct algebraic expression describing practical situations.

Students explain the variables in a linear equation involving speed and distance. They then solve the equation by substitution.

Students select the correct factorisation of algebraic expressions.

Students solve number problems involving the addition and subtraction of fractions.

Students solve multiplication problems involving negative numbers, finding the biggest and the smallest products.

Students identify and give rules for when numbers are divisible by three or by nine.

Students factorise algebraic expressions.

Students use substitution into equations to evaluate the number of blocks and total surface areas in shapes of different heights. The stimulus can be used as a challenging task to try and derive the rules from the spatial pattern. This is classified as Patterns and Relationships.

Students write equations for story problems describing practical situations.

Students write and solve equations for story problems describing practical situations.

Students convert numbers from standard form to ordinary form.

Students write algebraic expressions with indices which make equations true.

Students select which person has correctly applied the laws of indices to some problems, and explain their choice.

Students solve problems involving rates of pay based on a formula using powers, and compare this to a fixed rate of pay.

Students calculate and evaluate powers of whole numbers.