Patterns and relationships resources

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.

A spatial pattern involving the area of a shape is represented by a table and a diagram. Students describe the rule in words and as an algebraic expression.

Students complete a table to describe a spatial pattern, and write an equation to express the rule.

Task: Decide which of two graphs e.g., tally chart, pictograph, bar graph is represented by a picture and explain how the graph/s are interpreted.

Students use number lines to show their understanding of commutativity.

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

Students complete number relationships using 'is two more than' and 'is two less than'.

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

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.

Students complete equations that give the rule for the general term for a number of spatial patterns.

This resource is about students continuing linear or quadratic spatial patterns, and giving rules for them.

Students interpret a line graph showing the amount of money in a savings account over time. No calculation is required.

Students study two graphs on some rocks and lake features of Saharan North Africa and answer a mix of questions to show this ability to interpret these graphs.

Students construct a line graph after reading a short story about how hot or cold a bear felt at different times during the day.

Students complete a table to show a fitness plan pattern, finish a equation to describe the relationship, and answer questions to demonstrate their understanding of the pattern.

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

Students interpret a graph of a journey to school and answer questions about the time taken for different parts of the journey.

A sequential pattern showing the costs of hiring a bike is described in a table. Students continue the pattern and describe the rule in words.

Students complete a table to show a fitness plan pattern, finish a rule to describe the relationship, and answer questions to demonstrate their understanding of the pattern

Students interpret a line graph showing the distance travelled and the time for two car journeys and answer questions about time, distance and speed.

Students interpret distance-time graphs for a number of scenarios.

Students interpret a graph of a child's feelings for different times and activities during a day.

Students complete four patterns of musical notes.

Students are required to graph a linear relationship, within a range of x-values, as described by an equation in a practical context.