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 are required to use trigonometry to calculate the length of one side of a right-angled triangle in three problems based on a ski lift, a toy sail boat and a penguin on an iceberg.
Students read a short piece of text and construct a tally chart for the number of letters in each word. With these results they draw and label a pie graph.
A spatial pattern involving the area of a shape is represented by a table and a diagram. Students describe the rule in words and as an algebraic expression.
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.
Students complete a table showing the number of rungs for different sized ladders. They complete a sentence stating the rule to calculate the number of rungs given the length, and use the rule to identify if a ladder, at a lean, will reach a given height and show their working.
Students calculate an exact square root and estimate approximate square roots by finding the length of the square flower bed of a given area, and give an explanation for their answers.
This whole investigation requires students to find out how spring stretch is affected by different masses pulling on it. There is also a section for planning a similar investigation and a processing section using some provided data.
Students use provided data on the time of day and the length of the shadow to construct a line graph. Students interpret their graph to answer three questions.
This task requires students to indicate, in a table, the invariant properties of four transformations (translation, reflection, rotation, enlargement) of a picture of a traffic light.