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 use coloured beads to make repeating pattern. They then identify the colour of specific beads in the pattern and explain how to work this out.
Task: Order fruit according to size and number of seeds, make a generalisation about the pattern and use this to predict whether a fig has small or large seeds. Assessment focus: pattern seeking.
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.
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.
Using multi-link cubes students construct and explore a growing sequence of step models, then they apply this information to continue the pattern without the cubes.
Students explain how they can work out how many striped or shaded beads are needed for a number of repeated 'sets', and identify the number of striped and shaded beads for given numbers of sets.
In this task students build the next two models of a spatial sequential pattern and then use their results to predict subsequent patterns and give general rules for these in words and in equations.
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.