standard_description: Generate a number or shape pattern that follows a given rule. Identify apparent features of the pattern that were not explicit in the rule itself. For example, given the rule “Add 3” and the starting number 1, generate terms in the resulting sequence and observe that the terms appear to alternate between odd and even numbers. Explain informally why the numbers will continue to alternate in this way.
problem_activity: Stage 2: Factors and Multiples
Required Preparation
Materials to Gather
Centimeter cubes
Materials to Copy
Blackline Masters
Find the Number Stage 2 Directions and Gameboard

Narrative
Students find factors and multiples for a given number. To start, one player chooses an even number less than 50. The other player covers either a factor or multiple of that number. Students take turns covering either a multiple or factor of the previous number. When there are no factors or multiples left to cover, the player who covered the last number gets a point. Students take turns choosing the starting number. Students play 10 rounds, as time allows, and the player with the most points wins.
Additional Information
Each group of 2 needs 100 centimeter cubes.


aligns: no