MATHEMATICAL LITERACY GRADE 11 CAPS TOPIC 2 Measurement

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

Measuring length, distance & mass In section 2. 3, learners will be able to:

Example 2 1. Calculate the time taken to travel 165 km at a speed

Example 3 1. Calculate the average speed John would need to travel at to

Activity 1: 3. 4. 5. A teacher travels to the school she teaches at,

Example: 4 1. Marc is 1, 85 m tall and weighs 120 kg. Calculate

BMI values The meaning of BMI values BMI Weight status Between 18 and 19,

Activity: 2 The table below shows the recorded heights and masses of a group

Activity: 2 Use the previous slide to complete the table and classify each BMI

Final Assessment Questions 1 -10 Question 1 �

Question 3 Calculate the cost of travelling 102 km based upon a running cost

Question 4 The distance between Cape Town and Beaufort West is 500 km. A

Question 5 Calculate the time taken to travel 325 km at a speed of

Question 6 When hiking, Nick and Joe can walk about 4 km in an

Question 7 Liezel is 1, 62 m tall and weighs 54 kg. Calculate her

Question 8 Calculate the height of Mr Coetzee who weighs 108 kg and has

Question 9 Mac and Moe are identical twins who not only look alike but

Question 10 Mac and Moe are identical twins who not only look alike but

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

Slides: 37

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MATHEMATICAL LITERACY GRADE 11 CAPS TOPIC 2: Measurement Section 2. 3: Measuring length and distance, measuring mass

Topic 2: Measurement The following sections will be covered: 2. 1 Conversions 2. 2 Time 2. 3 Measuring length and distance measuring mass 2. 4 Calculating perimeter, area and volume 2. 5 Measuring temperature 2

Measuring length, distance & mass In section 2. 3, learners will be able to: � Calculate the cost associated with travelling a certain distance � Calculate the time taken to complete a journey � Calculate the average speed � Use recorded mass (weight) data together with recorded length (height) data to calculate Body Mass Index values � Determine weight status for adults � Calculate values using a formula involving mass with respect of: - Body Mass Index of individuals 3

Measuring length and distance �

Example 1: �

Solutions: Example 1 �

Calculating time �

Example 2 1. Calculate the time taken to travel 165 km at a speed of 115 km/h. Express your answer in hours in minutes. 2. Find the time taken to travel 175 km at 195 km/h

Solutions: Example 2 �

Example 3 1. Calculate the average speed John would need to travel at to travel 200 km in an hour and half. 2. A vehicle takes 12 minutes to travel 24 km. Calculate the average speed at which it is being driven. 2. Calculate the speed travelled if a distance of 110 km is covered in 1 hour and 15 minutes

Solutions: Example 3 �

Activity 1: �

Activity 1: 3. 4. 5. A teacher travels to the school she teaches at, a distance of 16 km from her home. What distance does she travel in a week? The distance between Cape Town and Beaufort West is 500 km. The maximum speed limit is 120 km/h. What is the shortest time (in hours and minutes, rounded off to the nearest minute) in which a car can travel between Cape Town and Beaufort West? A driver was fined for speeding in a 100 km/h zone driving 14 km in 7 min. Calculate the average speed of the car, rounded off to the nearest km.

Solutions: Activity 1 �

Measuring mass �

Example: 4 1. Marc is 1, 85 m tall and weighs 120 kg. Calculate his BMI. 2. Johannes is 175 cm tall and his BMI is 25. What is his weight in kg? (Round off the answer correct to one decimal place. 3. Jemina has a BMI of 31. Calculate her height if she weighs 120 kg.

Solutions: Example 1 �

BMI values The meaning of BMI values BMI Weight status Between 18 and 19, 99 Underweight Between 20 an 24, 99 Normal weight range Between 25 and 29, 99 Overweight Above 30 Obese Note that the above is for young and middle-aged adults

Activity: 2 The table below shows the recorded heights and masses of a group of 8 people at a sports club: People Mass (kg) Height (m) 1 54 1, 62 2 57 1, 78 3 67 1, 59 4 108 1, 80 5 75 1, 76 6 56 1, 70 7 63 1, 65 8 59 1, 71 Underweight/Overwei ght/Normal/Obese

Activity: 2 Use the previous slide to complete the table and classify each BMI according to BMI values in slide number 23. Use your calculator.

Solutions: Activity 2

Final Assessment Questions 1 -10 Question 1 �

Question 2 �

Question 3 Calculate the cost of travelling 102 km based upon a running cost of R 3, 50/km A. R 306, 00 B. R 408, 00 C. R 459, 00 D. R 357, 00

Question 4 The distance between Cape Town and Beaufort West is 500 km. A car travelled from Cape Town to Beaufort West in 5 hours. What was the average speed of the car? A. 5 000 km/h B. 500 km/h C. 100 km/h D. 100 m/h

Question 5 Calculate the time taken to travel 325 km at a speed of 112 km/h. Express answer in hours and minute A. 2 h 901 min B. 2 h 09 min C. 2 h 10 min D. 2 h 54 min

Question 6 When hiking, Nick and Joe can walk about 4 km in an hour. How far did they walk from Cross Rock to Flat Rock if it took them 6 ½ hours with 3 periods of 15 minutes on the way A. 16 km B. 23 km C. 26 km D. 11 km

Question 7 Liezel is 1, 62 m tall and weighs 54 kg. Calculate her BMI correct to one decimal place: A. 20, 6 B. 21 C. 33, 3 D. 33, 6

Question 8 Calculate the height of Mr Coetzee who weighs 108 kg and has a BMI of 33, 3. A. 1, 80 m B. 1, 80 cm C. 1, 70 m D. 1, 83 m

Question 9 Mac and Moe are identical twins who not only look alike but are the same height. They are both 1, 84 m tall. On Mac’s chart his BMI is recorded as 20. Moe’s chart shows his BMI recorded as 22. Mac’s weight will be: A. 67, 8 kg B. 67, 8 g C. 74, 5 kg D. 77, 8 g

Question 10 Mac and Moe are identical twins who not only look alike but are the same height. They are both 1, 84 m tall. On Mac’s chart his BMI is recorded as 20. Moe’s chart shows his BMI recorded as 22. Moe’s weight will be: A. 67, 8 kg B. 74, 5 kg C. 74, 5 g D. 67, 8 g

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