MATHEMATICAL LITERACY GRADE 11 CAPS TOPIC 2 Measurement

Topic 2: Measurement The following sections will be covered: 2. 1 Conversions 2. 2

Calculating perimeter, area and volume In section 2. 4, learners will be able to:

Example: 1 1. Calculate the perimeter and area of the polygon below: 2. Calculate

Activity 1: 1. (a) Calculate the area of the unshaded part for the shape

Activity: 1 2. Calculate the area of the shape below with radius of 4

Activity: 2 Calculate the volume of the following shapes: 1. r = 20 cm

Surface area The surface area of an object is the area of all its

Example: 2 1. Calculate the surface area of rectangular prism with length = 12

Activity: 3 Piet uses a cylindrically shaped bucket to carry water from a large

Final Assessment Questions 1 -10 Question 1 The ______ of an object is the

Question 2 Volume is measured in _______ units: A. Square B. Cubic C. Metric

Question 8 Calculate the length of the label of the tin in the previous

Question 9 Calculate the breadth of the label of the tin in slide no.

Solutions Final Assessment Questions 1. 2. 3. 4. 5. 6. 7. 8. 9. 10.

Slides: 34

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MATHEMATICAL LITERACY GRADE 11 CAPS TOPIC 2: Measurement Section 2. 4: Calculating perimeter, area and volume

Topic 2: Measurement The following sections will be covered: 2. 1 Conversions 2. 2 Time 2. 3 Length, distance and weight 2. 4 Calculating perimeter, area and volume 2

Calculating perimeter, area and volume In section 2. 4, learners will be able to: � Calculate the perimeter and area of rectangles, triangles and circles using given formulae � Calculate the volume of rectangular prisms and cylinders using given formulae � Calculate the surface area of rectangular box and a cylinder using given formulae. 3

Calculating perimeter and area �

Area of a circle

Example: 1 1. Calculate the perimeter and area of the polygon below: 2. Calculate the circumference and area of the circle with diameter of 6 m 6 m

Solutions: Example 1 �

Activity 1: 1. (a) Calculate the area of the unshaded part for the shape below (b) Calculate the area of the shaded part for the shape below

Activity: 1 2. Calculate the area of the shape below with radius of 4 cm

Solutions: Activity 1 �

Volume �

Activity: 2 Calculate the volume of the following shapes: 1. r = 20 cm 2. 120 cm 80 cm

Solutions: Activity 2 �

Surface area The surface area of an object is the area of all its faces.

Example: 2 1. Calculate the surface area of rectangular prism with length = 12 cm, width = 90 cm and height = 0, 1 m 2. Calculate the total surface area of the refuse bin without lid, with diameter 24 cm and height 26 cm. 3. Calculate the total surface area of a candle which is 22, 5 cm tall and has a radius of 5, 5 cm.

Solutions: Example 2 �

Activity: 3 Piet uses a cylindrically shaped bucket to carry water from a large rectangular tank. The tank has length = 2, 5 cm, breadth = 3 m and height = 2 m. See figure 5 below and answer the questions in next slide.

Activity: 3 cont. �

Solutions: Activity 3 �

Final Assessment Questions 1 -10 Question 1 The ______ of an object is the area of all its faces. A. Perimeter B. Circle C. Surface area D. Volume

Question 2 Volume is measured in _______ units: A. Square B. Cubic C. Metric D. Imperial

Question 3 �

Question 4 �

Question 5 �

Question 6 �

Question 7 �

Question 8 Calculate the length of the label of the tin in the previous slide A. 3, 5 cm B. 7 cm C. 10, 5 cm D. 14 cm

Question 9 Calculate the breadth of the label of the tin in slide no. 30 A. 10, 5 cm B. 7 cm C. 3, 5 cm D. 14 cm

Question 10 �

Solutions Final Assessment Questions 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. C B D A C B C