3

9

Keywords:

functional rules

peer assessment

recursive rules

spatial patterns

work samples

Students describe a functional rule for two spatial patterns.

3

9

Keywords:

functional rules

peer assessment

recursive rules

spatial patterns

work samples

Students describe a functional rule for two spatial patterns.

3

4

4

Keywords:

functional rules

recursive rules

spatial patterns

Students describe a functional rule for two spatial patterns.

2

0

Keywords:

functional rules

growing patterns

recursive rules

rules

spatial patterns

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

3

1

Keywords:

functional rules

peer assessment

recursive rules

spatial patterns

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

3

4

0

Keywords:

direct rules

functional rules

linear equations

peer assessment

recursive rules

spatial patterns

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

3

4

Keywords:

functional rules

peer assessment

repeating patterns

work samples

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.

5

2

Keywords:

functional rules

number patterns

quadratic equation

recursive rules

spatial patterns

This resource is about students continuing linear or quadratic spatial patterns, and giving rules for them.

3

1

Keywords:

addition

functional rules

multiplication

number machines

number patterns

Students use given numbers to work out rules.

5

2

Keywords:

functional rules

linear equations

rules

spatial patterns

Students complete a table then describe and write a rule to work out the number of matchsticks needed to make alien shape patterns.

2

1

Keywords:

addition

functional rules

number machines

number patterns

rules

Students use rules to find numbers and use given numbers to work out rules shown on number machines.

3

0

Keywords:

addition

functional rules

multiplication

number machines

relationships

Students identify the missing part of equations shown as number machines.

5

1

Keywords:

functional rules

model construction

quadratic equation

rules

spatial patterns

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.

4

5

1

Keywords:

functional rules

model construction

quadratic equation

rules

spatial patterns

Students use cubes to construct part of a spatial pattern and answer questions on how to continue it.

4

5

2

Keywords:

functional rules

linear equations

spatial patterns

Students continue two number patterns of diamonds in a sequential pattern, state the general rule for the number sequences and use the rule to find the pattern number with a given number of diamonds.

3

0

Keywords:

functional rules

repeating patterns

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.

4

0

Keywords:

functional rules

number patterns

spatial patterns

Students use matchsticks to continue a triangular spatial pattern and write a rule to describe the number needed for each pattern. They then complete a table and a rule to show the relationship between the number of triangles and the number of matchsticks.

5

0

Keywords:

functional rules

quadratic equation

spatial patterns

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.

5

0

Keywords:

functional rules

quadratic equation

spatial patterns

Students use rules to work out the number of shapes or matches in spatial patterns, and complete an algebraic rule from a word rule.

5

1

Keywords:

functional rules

linear equations

number patterns

spatial patterns

Students complete equations that give the rule for the general term for a number of spatial patterns.

4

2

Keywords:

functional rules

spatial patterns

Students draw the next two patterns in a spatial pattern, complete a table and questions about the pattern, and write a rule to describe the pattern.

3

0

Keywords:

functional rules

number patterns

recursive rules

A sequential pattern showing the costs of hiring a bike is described in a table. Students continue the pattern and describe the rule in words.

4

5

2

Keywords:

functional rules

linear equations

spatial patterns

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.

5

0

Keywords:

functional rules

linear equations

number patterns

Students complete a table to show a fitness plan pattern, finish a equation to describe the relationship, and answer questions to demonstrate their understanding of the pattern.

4

5

1

Keywords:

functional rules

linear equations

spatial patterns

Students continue a spatial pattern of hexagons, then describe its rule.

5

0

Keywords:

functional rules

linear equations

number patterns

Students complete a table to show a fitness plan pattern, finish a rule to describe the relationship, and answer questions to demonstrate their understanding of the pattern