# 0.4 To solve problems in context

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## To use a range of strategies to check solutions [lo 1.11]

In the previous activity you practised your mental skills. On the other hand it is also important to be able to calculate correctly by using pencil and paper. Form groups of three. Your teacher will provide the paper you need. Then execute the following assignments neatly and accurately.

1. Solve the following problems:

1.1 Mr Dlamini has won a competition and would like to buy each of his three sons a house. He sees the following advertisements:

House A: R895 000

House B: R795 799

House C: R799 495

What will the three houses cost Mr Dlamini?

1.2 Nancy sees an exhibition of dinosaurs in a museum. The weights of the three dinosaurs are given as follows:

A: 45 875 kg

B: 9 324 kg

C: 26 879 kg

What is the combined weight of the dinosaurs?

1.3 The registration figures for the “Long-winded Marathon” are as follows:

2002: 24 513

2003: 31 687

2004: 42 196

How many entries have there been in the marathon up to now?

3. Explain to the class how your group has arrived at the answers.

4. Compare your methods with those of the other groups. How do they differ?

## Time for group assessment

Assess your work on a scale of 1 – 4 and circle the appropriate number

1 = needs more attention

2 = fairly good

3 = very good

4 = excellent

 Criteria: Needs attention Fairly good Very good Ex-cellent All group members participated in the activity. 1 2 3 4 Group members listened to each other. 1 2 3 4 Group members helped and encouraged each other. 1 2 3 4 Group members adhered to the instructions. 1 2 3 4 Each one had a chance to speak. 1 2 3 4 The group’s work was neatly done. 1 2 3 4 The answers were calculated correctly. 1 2 3 4

## 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 1.6: We know this when the learner solves problems in context including contexts that may be used to build awareness of other Learning Areas, as well as human rights, social, economic and environmental issues such as:

1.6.1: financial (including buying and selling, profit and loss, simple budgets, reading and interpreting accounts, and discount);

1.6.2: measurements in Natural Sciences and Technology contexts.

Assessment Standard 1.10: We know this when the learner uses a range of techniques to perform written and mental calculations with whole numbers including:

1.10.1: adding, subtracting and multiplying in columns;

1.10.5: using a calculator.

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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