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.

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.

5

0

Keywords:

equations

spatial patterns

substitution

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 patter. This is classified as Patterns and Relationships.

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.

3

0

Keywords:

rules

spatial patterns

Students identify the number of dots in the <i>n</i>th shape of a series of spatial patterns.

3

4

1

Keywords:

model construction

quadratic equation

recursive rules

spatial 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.

2

1

Keywords:

recursive rules

spatial patterns

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

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

2

Keywords:

graph construction

number patterns

rules

Students identify and continue the number pattern for a stack of cans and complete a graph to demonstrate the relationship between two sets of numbers.

3

4

1

Keywords:

model construction

quadratic equation

recursive rules

spatial patterns

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.

3

0

Keywords:

model construction

number patterns

quadratic equation

spatial patterns

Using multi-link cubes students investigate the number of faces visible in a sequence of step models, then they use this information to continue and record the pattern in a table.

3

4

1

Keywords:

model construction

quadratic equation

recursive rules

spatial patterns

In this task students continue a triangular 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.

4

0

Keywords:

rules

spatial patterns

Students use place value rods in this practical task to build up square patterns. Students then predict the number needed for the next pattern and explain their rule.

2

0

Keywords:

recursive rules

spatial patterns

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.

3

0

Keywords:

model construction

quadratic equation

recursive rules

spatial patterns

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.

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.

2

3

Keywords:

repeating patterns

spatial patterns

Students create three different sequential patterns using 12 squares or triangles.

3

1

Keywords:

quadratic equation

recursive rules

spatial patterns

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

2

1

Keywords:

spatial patterns

Students draw in the next shape in a series of spatial patterns.

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.