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

0

Keywords:

rules

spatial patterns

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

1

Keywords:

ordinal position

repeating patterns

rules

Students find subsequent shapes in several patterns and show how to work out another shape based further on in the pattern.

3

2

Keywords:

number patterns

recursive rules

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

3

2

Keywords:

number patterns

rules

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

3

0

Keywords:

linear equations

money

rules

substitution

Students use plastic money to explore and continue a number pattern about going to a disco. They then describe the pattern.

3

2

Keywords:

number patterns

recursive rules

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

3

0

Keywords:

addition

multiplication

number patterns

rules

Students use given numbers to work out rules for number machines.

3

0

Keywords:

functional rules

linear equations

money

rules

Students complete a table to show the amount of money paid for work, and finish a rule to describe the relationship.

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.

4

5

1

Keywords:

functional rules

model construction

practical

quadratic equation

rules

spatial patterns

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

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

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.

5

0

Keywords:

flowcharts

linear equations

rules

Students interpret information from a flowchart to calculate the total costs of different sized groups staying in a motel for varying lengths. They also complete a linear algebraic equation to show the costs of one group's stay.

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.

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.

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.

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.

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.

2

3

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.

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.

4

1

Keywords:

co-ordinates

graph interpretation

relationships

rules

Students identify and graph ordered pairs for the relationship ‘is a multiple of’.

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.

4

2

Keywords:

bedmas

linear equations

problem solving

rules

Students solve puzzles by determining the unknown number from each set of statements.

4

2

Keywords:

linear equations

pronumerals

rules

Students describe a variable in a linear equation, solve the equation, and complete a second equation relating to weights.