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GETSenPhaseMaths
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This module is included inLens: Siyavula: Mathematics (Gr. 7-9)
By: Siyavula
Review Status: In Review
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Mathematics Grade 7

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Definition of a lens

Lenses

A lens is a custom view of the content in the repository. You can think of it as a fancy kind of list that will let you see content through the eyes of organizations and people you trust.

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Area (Brain-teaser)

Module by: Siyavula Uploaders. E-mail the author

MATHEMATICS

Perimeter, Area and Volume

EDUCATOR SECTION

Memorandum

10.

a) Yes, area of all three figures the same

b) area = (half of base) x height

11.1 1 867 km^²

11.2 530 m^²

11.3 9 m by 8 m

12.

13.1

a) 3 and a quarter square cm

b) 5 square cm

13.2 A

14.1

a) 64 cm^²

b) 180 cm^²

c) 81 m^²

d) 200 m^²

14.2

a) 42 m^²

b) 48 cm^²

c) 65 cm^²

d) 64 m^²

LEANER SECTION

Content

ACTIVITY: Area (Brain-teaser) [LO 4.2, LO 1.9, LO 4.5]

10. BRAIN-TEASER!

A farmer divides his land as follows among his three children:

**Figure 1**

a) Was the farmer fair? __________________________ Motivate your answer:

_____________________________________________________________________

b) From the above example, can you work out a formula that we use to determine the area of a triangle?

_____________________________________________________________________

11.1 Calculate the area of the farmer’s farm without the dam.

**Figure 2**

_____________________________________________________________________

11.2 What is the area of this lucerne camp on the farmer’s farm?

**Figure 3**

_____________________________________________________________________

11.3 The farmer wants to fence a rectangular camp with an area of 72m2. Problem: The perimeter must be kept to the minimum (because of the cost of the wire). What will the measurements of the camp be?

_____________________________________________________________________

12. A rectangular rugby field has a length of 110 m and a breadth of 60 m. What will it cost to plant grass which costs R6,45 per square metre?

_____________________________________________________________________

13.1 If each square is 1 cm2, what is the area of the shaded section?

**Figure 4**

_____________________________________

**Figure 5**

_____________________________________

13.2 Which figure has the biggest area: A or B?

**Figure 6**

_____________________________________

**Figure 7**

_____________________________________

14. BRAINTEASERS!

Work with a friend.

14.1 Can you determine the area of the shaded parts of each figure?

**Figure 8**

_____________________________________

**Figure 9**

_____________________________________

**Figure 10**

_____________________________________

**Figure 11**

_____________________________________

14.2 Calculate the areas of the following figures?

**Figure 12**

_____________________________________

**Figure 13**

_____________________________________

**Figure 14**

_____________________________________

**Figure 15**

_____________________________________

15. CLASS DISCUSSION

Let us discuss the following as a class:

15.1 Your school wants to build a new computer centre. The two possible plans that have been drawn up look like this:

**Figure 16**

**Figure 17**

Discuss:

a) Which plan would use the most bricks? Why?

b) Which plan would accommodate the most computers? Motivate.

c) Which plan will be the most expensive to build? Why?

15.2 A plan for a swimming pool for the school has also been drawn up:

**Figure 18**

a) What will happen to the area if the perimeter stays the same, BUT:

(i) the length increases and the breadth decreases?

(ii) the length decreases and the breadth increases?

b) When would the swimming pool have a maximum area?

Assessment

Learning Outcome 4:The learner will be able to use appropriate measuring units, instruments and formulae in a variety of contexts.

Assessment Standard 4.2:We know this when the learner solves problems;

Assessment Standard 4.5:We know this when the learner calculates, by selecting and using appropriate formulae.

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 1.9:We know this when the learner uses a range of techniques to perform calculations.

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Definition of a lens

Lenses

A lens is a custom view of the content in the repository. You can think of it as a fancy kind of list that will let you see content through the eyes of organizations and people you trust.

What is in a lens?

Lens makers point to materials (modules and collections), creating a guide that includes their own comments and descriptive tags about the content.

Who can create a lens?

Any individual member, a community, or a respected organization.

What are tags?

Tags are descriptors added by lens makers to help label content, attaching a vocabulary that is meaningful in the context of the lens.

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More about this module: Metadata | Downloads | Version History

This work is licensed by Siyavula Uploaders under a Creative Commons Attribution License (CC-BY 3.0), and is an Open Educational Resource.

Last edited by Siyavula Uploaders on Apr 19, 2009 8:15 am GMT-5.

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Area (Brain-teaser)

MATHEMATICS

Perimeter, Area and Volume

EDUCATOR SECTION

Memorandum

LEANER SECTION

Content

ACTIVITY: Area (Brain-teaser) [LO 4.2, LO 1.9, LO 4.5]

Assessment

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