MATHEMATICAL LITERACY GRADE 12 CAPS TOPIC 1 Measurement
- Slides: 36
*MATHEMATICAL LITERACY GRADE 12 CAPS TOPIC 1: Measurement Section 1. 4: Calculating perimeter, area and volume
*Topic 1: Measurement The following sections will be covered: 1. 1 Conversions 1. 2 Time: working with transport time-tables 1. 3 BMI growth charts for children 1. 4 Calculating perimeter, area and volume
*Calculating perimeter, area and volume In section 1. 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. *Determine and/or calculate appropriate quantities of materials needed to complete a task or project. *Calculate the cost of materials needed to complete a task. *Make choices regarding costs and/or quantities used in order to complete the task within a given budget. 3
*Perimeter and Area Let us remind ourselves about formulae on Perimeter and Area that we learnt in Grade 10 and 11. Perimeter of a rectangle = = Perimeter of circle = = Area of rectangle Area of circle = length x breadth = lxb =
*Example: 1 1. What is the total distance around the race track below: 2. Calculate the area of the L-shaped room shown below
* *Solutions: Example 1
*Example: 2 *
*Example: 2 cont. 2. How many bricks would have been required to build the wall of the house with dimensions of brick as shown below:
1. *Solutions: Example 2 The easiest way to calculate the total area is to break up the shape into smaller, more familiar pieces. One way of doing it, is as follows:
*Solutions: Example 2 *
*Solutions: Example 2 *
1. *Activity 1: Calculate the area of the shaded shape below: 2. (a) Calculate the area of a wall 6 m long and 2, 4 m high. (b) Calculate the area of a side of a brick which is 220 mm x 100 mm, taking into account that 10 mm of mortar is used between bricks in a row and on top of a row of bricks. (c) Estimate the number of bricks needed to build this wall.
* * Solutions: Activity 1
* Solutions: Activity 1 *
*Example: 3 An area of 4 m x 9 m is being tiled. The side of the square tile measures 300 mm and they come in boxes of 40 tiles costing R 359, 99/box. (a) Calculate the area to be tiled (express your answer correct to two decimal places). (b) Calculate the number of tiles needed. (c) How many boxes need to be purchased? (d) Calculate the cost of the tiles.
*Solutions: Example 3 *
*Activity: 2 *
*Solutions: Activity 2 *
* *Volume
*Volume
*Activity: 3 Jabu has to decide which container to use to collect rain water. He can either use a cylindrical container with diameter 1 m and height 2 m or a rectangular container with base 80 cm by 80 cm and a height of 2 m. a) Calculate which container has the largest volume. Give the volume to the nearest litre.
*Activity: 3 cont. b) Calculate the surface area of each container. c) Metal sheets, 2 m wide, are used to manufacture these containers. Calculate the length of sheeting required to make each container.
*Solutions: Activity 3 *
*Solutions Activity: 3 *
*Final Assessment Questions 110
Question 1 The circumference of a circle (to the nearest whole number), with a diameter of 8 mm will be ------A. 25, 1 m B. 25, 136 m C. 25 mm D. 24 mm
*Question 2 *
*Question 3 *
*Question 4 What are the dimensions of the front of the large cement brick below, if the width of the mortar is included? (Answer in cm) A. 0, 178 and 0, 388 B. 20, 2 and 16, 2 C. 202 and 162 D. 178 and 38, 8
*Question 5 *
*Question 6 The dimensions of the section of the school ground of 114 m by 58 m are to be paved. Calculate the cost of paving the section of the school ground if the cost of paving is R 125 per square meters. A. R 826 500 B. R 8 265, 00 C. R 52 896 D. R 5 289, 60
*Question 7 *
*Question 8 *
*Question 9 *
*Question 10 *
*Solutions: Final Assessment Questions 1. A 2. A 3. D 4. B 5. C 6. A 7. B 8. D 9. C 10. D
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