Using multi-link cubes students investigate the number of faces visible in a sequence of step models, then they use this information to continue and record the pattern in a table.
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 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.
This practical task requires students to use straws to build up a linear pattern. Students then predict the number of straws needed for successive patterns and explain their rule.
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.
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 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 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.
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.
The start of a spatial pattern of triangles is shown and described in a table. Students generate more of the pattern and describe the relationships algebraically.