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Students use their knowledge of the trigonometric functions sine, cosine, and tangent to calculate the length of sides of sails in a diagram of a yacht.

In this task students continue a triangular shape pattern with sticks to explore the rule used in the pattern. Students then use their understanding of the pattern rule to continue the pattern without the sticks.

In this practical task, students construct pyramid patterns using triangles. They then predict how many triangles would be needed for the next size pyramid and explain their rule.

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.

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 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 linear equations for three practical word problems.

Student solve multiplication and division problems that involve money.

Students use a picture of a spinner to calculate the probability of the arrow pointing to the black or white portion of a card.

For this practical students make observations on water flow from three holes set at different heights in a container. They also investigate the effect on water flow if the top is on or off the container.

Students complete a table to show the amount of money paid for work, and finish a rule to describe the relationship.

Students interpret a graph of the Hare's Progress to answer questions about rate, rest, and reading sections of the graph. They also identify the constant motion of the tortoise and explain the result of the race.

Students interpret a line graph of the weight of a baby over 12 weeks and answer questions about weight, forecasting and the rate of change.

Students identify parts of an algebraic equation and use the equation to calculate dog's weights for a given total.

Students identify the rule for continuing number patterns then develop their own pattern and write it as a rule.

This practical task requires students to use straws to build up a linear pattern. Students then predict the number of straws needed for successive patterns and explain their rule.

Students interpret a line graph of a practical situation.

Students use coloured beads to explore and continue a spatial pattern. They then describe the pattern.

Students apply a rule to continue spatial patterns.

Students show temperature movements on a number line including negative numbers, and write the movement as an equation.

Students answer three questions about the Hubble Space Telescope.

Students list four things that wouldn't work and the problems this would cause if there was a power cut to their home.