Recursive rules resources

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 continue a triangular pattern of dots on a fish and write a rule to describe the pattern.

Students complete a sequential number pattern and describe its rule in words.

Students complete number patterns and express the rules in words.

Students work out the number of cans in a stack of a given height, and complete a sentence that states the rule.

Students describe a functional rule for two spatial patterns.

Students identify missing numbers and the rule for a growing number pattern.

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.

Student fills in spaces and draw diagrams to identify the next two triangular numbers. They also state the rule for the pattern.

Students complete rules for number patterns generated using a calculator.

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

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 find subsequent shapes in a repeated pattern and show how to work out another shape based further on in the pattern.

Students use given rules to complete a series of number patterns.

Students describe a functional rule for two spatial patterns.

Students complete two spatial patterns and give the rule for each.

Students find the next three shapes in several growing shape patterns and explain how they worked out the shapes.

Students use sticks to continue given patterns, and identify the number of sticks needed to make the new shapes in the pattern

Students use sticks to continue given patterns, and identify the number of sticks needed to make the new shapes in the pattern.

Students complete a table and write a rule about the number of leaves on a growing plant.

Students fill in the missing sequential numbers on a magic plant and write a rule for the pattern.

Students find missing numbers to complete addition, subtraction and multiplication number patterns.

Students use sticks to copy and continue a given spatial pattern, and identify the number of sticks needed to make a new shape in the pattern.