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# To determine the equivalence and validity of a variety of representations

Module by: Siyavula Uploaders. E-mail the author

## Content

### To use a variety of strategies to check solutions [LO 1.11]

Activity 2.7 has shown that there are different methods for calculating a quotient. Work through the different solutions to the following problem (with a partner):

How many people together would have the same amount of teeth as one of these dinosaurs?

1. I must divide 2 400 by 28.

I estimate 28 goes into 2 400

I know 28 x 100 = 2 800

Thus: 28 x 50 = 1 400

And 28 x 25 = 700

The answer is thus 50 + 25 + 10 = 85 people. 20 teeth are left over.

2. I must calculate 2 400 ÷ 28 in this way:

There are thus 85 people, because there are 8 teeth too few for another person.

3. Can you solve the problem in any other way without using a calculator?

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## Assessment

Learning Outcome 2: The learner will be able to recognise, describe and represent patterns and relationships, as well as to solve problems using algebraic language and skills.

Assessment Standard 2.6: We know this when the learner determines, through discussion and comparison, the equivalence of different descriptions of the same relationship or rule presented:

2.6.3: by number sentences.

## Assessment

Learning Outcome 1: The learner will be able to recognise, describe and represent numbers and their relationships, and to count, estimate, calculate and check with competence and confidence in solving problems.

Assessment Standard 1.11: We know this when the learner uses a range of strategies to check solutions and judge the reasonableness of solutions.

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