2

4

Keywords:

number patterns

recursive rules

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

2

4

Keywords:

number patterns

recursive rules

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

2

2

Keywords:

number patterns

recursive rules

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

3

2

Keywords:

number patterns

recursive rules

Students complete number patterns and express the rules in words.

2

2

Keywords:

number patterns

recursive rules

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

4

0

Keywords:

recursive rules

spatial patterns

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

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.

3

0

Keywords:

recursive rules

spatial patterns

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

3

2

Keywords:

number patterns

recursive rules

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

3

2

Keywords:

number patterns

recursive rules

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

2

5

Keywords:

number patterns

recursive rules

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

3

0

Keywords:

number patterns

recursive rules

Students complete rules for number patterns generated using a calculator.

2

3

4

Keywords:

number patterns

recursive rules

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

4

1

Keywords:

number patterns

recursive rules

Students identify the rule for continuing number patterns then develop their own pattern and write it as a rule.

2

4

Keywords:

recursive rules

spatial patterns

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

2

1

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.

3

4

1

Keywords:

model construction

practical

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.

3

3

2

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

1

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

1

Keywords:

model construction

practical

quadratic equation

recursive rules

spatial patterns

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.

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:

number patterns

rules

Students complete number sequences, and identify different rules for sequences that begin with the same numbers.

3

4

Keywords:

recursive rules

rules

spatial patterns

The start of spatial matchstick patterns are shown and described in tables. Students complete the tables and show the rules in either words or equations.

3

2

Keywords:

addition

number patterns

Students complete number patterns, identifying and creating rules.