3

2

Keywords:

number patterns

rules

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

3

2

Keywords:

number patterns

rules

3

0

Keywords:

number patterns

rules

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.

4

1

Keywords:

rules

spatial patterns

Students complete a table showing the number of counters used to make a series of L-shapes. They identify the number of counters needed for different situations, and describe the relationship as a rule.

3

1

Keywords:

rules

spatial patterns

In this practical task, students use counters to continue a spatial pattern, then describe a rule to show how the pattern was made.

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

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:

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.

4

1

Keywords:

nemp

number patterns

relationships

rules

For this NEMP task students solve practical problems using linear number patterns and use a relationship graph to identify trees by height and width.

4

3

Keywords:

functional rules

spatial patterns

Students complete a table showing the number of matchsticks used to build a series of pentagons. They identify the number of matchsticks required for a given pentagon and state the rule as an word equation.

4

3

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.

4

2

Keywords:

functional rules

spatial patterns

Students answer two questions about the number of seats available as more tables are added to a row, and state a rule for the pattern.

4

2

Keywords:

rules

spatial patterns

Students complete a table showing the number of matchsticks used in a spatial pattern, identify the number of matchsticks required for a given shape, and describe the rule for the pattern.

3

4

0

Keywords:

functional rules

linear equations

number patterns

Students complete a table showing pattern sizes and children's chest measurements. They answer two questions interpreting the pattern, and state the rule as a word equation.

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.

4

1

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.

3

4

1

Keywords:

functional rules

linear equations

number patterns

rules

Students complete a table showing times to boil different quantities of water. They identify the rule that relates the amount of water to boiling time and use it to answer questions.

4

1

Keywords:

functional rules

quadratic equation

spatial patterns

square numbers

Students draw the next two triangles in a spatial pattern, calculate the areas of a range of triangles, work out the height of a triangle given its area, and write a rule for the pattern.

2

1

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

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.