Rules resources

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.

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.

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

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

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

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

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

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

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

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

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

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.

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.

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.

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.

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

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

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.

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.

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

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.

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

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.

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

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