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 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.
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.
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 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.
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 continue the number pattern for a stack of cans and complete a graph to demonstrate the relationship between two sets of 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.
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.