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Level Two > Number and Algebra

Twenty-Seven

Keywords:
Purpose: 

This is a level 2 number activity from the Figure It Out series. It relates to Stage 5 of the Number Framework.

Achievement Objectives:

Achievement Objective: Use simple additive strategies with whole numbers and fractions.
Achievement Objective: Know the basic addition and subtraction facts.

Specific Learning Outcomes: 

use simple additive strategies to solve problems

use addition facts to solve problems

Required Resource Materials: 
FIO, Level 2-3, Basic Facts, Twenty-seven, page 15
counter
classmate
arrays, rods in a number track, or hundreds board to with addition (optional)
Activity: 

Game

This is an excellent strategy game as well as providing a good opportunity for basic facts practice. Students can investigate winning positions, for example:

diagram.

The score is 19. It is Joel's turn. Can he win? How?
Students will need to look at the implications of Joel’s potential moves: to 4, with the score on 23; to 5, with the score on 24; to 2, with the score on 21. If he moves to 4, his opponent will push the counter to 3. This will trap Joel since any next move will push the score over 27. If he moves to 5, his opponent will push the counter to 3 to make the score up to 27. If he moves to 2, his opponent will go to 3 and put the score to 24. Joel can then only go to 2, leaving his opponent to move to 1 and bringing the score total to 27. In short, Joel cannot win.
Other winning positions depend on the number the counter is on at a particular total.

Answers to Activity

A game of strategy with addition


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