3.4 To solve problems in context

Mathematics

Measurement and time

Length

Educator section

Memorandum

1.1 K-S 50 km

S-C 60 km

C-S 70 km

S-H 70 km

H-R 20 km

R-M 35 km

1.2 ± 275 km

275 km ÷ 9 km = 30,35 = ± 30,5 ℓ

1.3 30,5 × R 5,80 = R 176,90

1.4 1 350 ÷ 100 = 13,5

13,5 × 140 = 1 890

= 1 890 steps

Leaner section

Content

Activity: to solve problems in context [lo 1.6.1, lo 1.6.2]

To write number sentences to describe problem situations [lo 2.4]

1. You may choose a partner to work with for the next activity. Read the problems and solve them. Write neat number sentences, showing the operations clearly. Remember the units!

1.1 Study the map with scale and your ruler and determine the distances between the various towns/cities.

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1.2 What is the total distance (as measured by you) between Cape Town and Mossel Bay?

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If the fuel consumption of a car is 9 km / ℓ, how many litres of fuel are needed for the trip?

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1.3 Now use these answers and calculate what the fuel for the journey will cost if fuel currently costs R5,80 per litre.

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1.4 A girl has to take 140 steps to cover a distance of 100 m. She lives 1,350 km from the school. How many steps will she have to take to cover the distance?

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1.5 Explain to the rest of the class how the two of you calculated the answers.

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1.6 Compare your methods with those of the rest of the class. How do they differ and how are they similar?

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Assess your work on a scale of 1 – 4 by circling the appropriate number:

1 = not at all

2 = not very well

3 = well

4 = excellently

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;

1.6.2: measurements in Natural Sciences and Technology contexts;

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 2.4: We know this when the learner writes number sentences to describe a problem situation, including problems within contexts that may be used to build awareness of human rights, social, economic, cultural and environmental issues.