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Level Three > Number and Algebra

See-saw Numbers

Keywords:
Purpose: 

This is a level 3 algebra strand activity from the Figure It Out series.

Achievement Objectives:

Achievement Objective: Record and interpret additive and simple multiplicative strategies, using words, diagrams, and symbols, with an understanding of equality.

Specific Learning Outcomes: 

use <, >, = symbols in equations

Required Resource Materials: 
FIO, Level 3, Algebra, See-saw Numbers, page 19
number balance
classmate
Activity: 

Check that students know how to convert a number balance to an equation, for example, 7 x 1 + 3 x 1 = 5 x 2.
Questions 1c to 1f are an opportunity to introduce the use of brackets, for example,
7 + 5 + (2 x 3) < 3 + 5 + (2 x 7) rather than 7 + 5 + 3 + 3 < 3 + 5 + 7 + 7.
See also Answers and Teachers’ Notes: Algebra, Figure It Out, Levels 2–3, page 26.

Answers to Activity

1. a. 7 + 3 > 3 + 6
b. 9 + 7 = 2 x 8 [or 9 + 7 = 8 + 8]
c. 2 x 8 > 2 x 6 [or 8 + 8 > 6 + 6]
d. 7 + 5 + (2 x 3) < 3 + 5 + (2 x 7) [or 7 + 5 + 3 + 3 < 3 + 5 + 7 + 7]
e. 4 + (2 x 2) = 2 + 6 [or 4 + 2 + 2 = 2 + 6]
f. (2 x 8) + 3 + 1 > 1 + (2 x 9) [or 8 + 8 + 3 + 1 > 1 + 9 + 9]
2. Answers will vary.
 


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