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    By: Siyavula

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To record temperature using degrees Celsius

Module by: Siyavula Uploaders. E-mail the author

MATHEMATICS

Measurement and Time

Temperature

EDUCATOR SECTION

Memorandum

1. Temperature

2. 180 °C

4. 100 °C

6. 38 °C

7. 0 °C

1.1 –4 °C

1.2 25 °C

1.3 –12 °C

1.4 38 °C

1.5 –18 °C

1.6 –10 °C

2.1 38 °C

2.2 -18°C

3.1 10 °C

3.2 8 °C

3.3 6 °C

3.4 7 °C

3.5 –3 °C

4. 6,5 °C; 12,5 °C; 1 °C

ASSESSMENT: MEASURING

1.1 375 mℓ

1.2 0,62 kg

1.3 0,1

1.4 5 000

1.5 2 m

2.1 <

2.2 >

2.3 <

2.4 <

2.5 >

3.1 l × b × h

3.2 (1 m × 1 m × 1 m) + (2 m × 2 m × 3 m)

= 1 m³ + 12 m³

= 13 m³

4.1 5 °C

23 °C

19 °C

4.2 1 380 ÷ 120 = 11,5

11 1212 size 12{ { {1} over {2} } } {}h

4.3 (43 + 41,4 + 39,8 + 42 + 41,2) ÷ 5

= 207,4 ÷ 5

= 41,48 °C

5.1 300 cm × 400 cm

3 m × 4 m

5.2 3 m × 4 m = 12 m²

5.3 W (12 × 8) + (16 × 2) + (10 × 2) = 148

S 28 + 16 = 44

5.4 4414844148 size 12{ { {"44"} over {"148"} } } {} = 11371137 size 12{ { {"11"} over {"37"} } } {}

6. 7 1212 size 12{ { {1} over {2} } } {} × 4 cm²

= 30 cm²

7.1 (175 mm × 6) + (32 mm × 2) + 145 mm

= 1 835 mm

= 1,835 m

7.2 3,165 m

8.1 (18 × 4) + (12 × 2) = 96

8.2 40 min + 24 h + 6 h 15 min

= 30 h 55 min

LEANER SECTION

Content

Let's begin by looking at some general questions.

  • With what instrument do we measure temperature?________________________
  • At what temperature does your mother usually bake a cake?______________o C
  • What is the temperature of your bath water? ±_______________________o C
  • What is the temperature of boiling water? ±_______________________o C
  • What was the temperature on the hottest day last summer?_______________o C
  • What is the body temperature of a healthy person? ±_________________o C
  • What temperature is the freezing point of water?_______________________o C

DO YOU REMEMBER THIS?

°C

Figure 1
Figure 1 (graphics1.png)

ACTIVITY: To record temperature using degrees Celsius [LO 4.4.4, LO 4.6.4]

1. Read the temperature on each of the following thermometers.

Table 1
graphics2.pnggraphics3.png1.1_______
graphics4.pnggraphics5.png1.2_______
graphics6.pnggraphics7.png1.3_______
graphics8.pnggraphics9.png1.4_______
graphics10.pnggraphics11.png1.5_______
graphics12.pnggraphics13.png1.6_______

2. Which temperature is:

2.1 the highest: ______________________________

2.2 the lowest: ______________________________

3. What will the thermometer indicate if the temperature:

3.1 rises by 8 degrees from +2 ºC? ______________________________

3.2 rises by 12 degrees from –4 ºC? _____________________________

3.3 rises by 7 degrees from –1 ºC? ______________________________

3.4 drops by 11 degrees from 18 ºC? ____________________________

3.5 drops by 10 degrees from 7 ºC? _____________________________

4. What is the reading on the following thermometers?

Figure 2
Figure 2 (graphics14.png)

___________________

Figure 3
Figure 3 (graphics15.png)

___________________

Figure 4
Figure 4 (graphics16.png)

___________________

ASSESSMENT: MEASURING

1. Complete

1.1 ℓ = _________________________ mℓ

1.2 2,480 kg ÷ 4 = _________________________ kg

1.3 360 ÷ (_________________________ × 90) = 40

1.4 (20 × 102) + (3 × 103) = _________________________

1.5 25 % of 8 m = _________________________ m

2. Fill in >; <; =

2.1 0,015 m * 15 cm

2.2 1,37 kg * 137 g

2.3 1 m * 1 775 mm

2.4 72 min * 1 h

2.5 5 cups * 1 ℓ

3.

3.1 Write down a formula for calculating the volume of a cube.

____________________________________________________________________

3.2 Now use this formula to determine the volume of the following shape:

Figure 5
Figure 5 (graphics17.png)

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

4. Study the map of South Africa.

4.1 What is the difference between the minimum and maximum temperatures predicted for:

Cape Town? _________________o C

Sutherland? _________________o C

Still Bay? _________________o C

4.2 The distance between Cape Town and Johannesburg is 1 380 km.

If Mr Fourie travels this distance at an average speed of 120 km/h, how long will it take him to reach his destination?

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

4.3 During January Durban experienced a heat wave. The maximum temperatures for five subsequent days were:

Mon: 43o C

Tue: 41,4 o C

Wed: 39,8 o C

Thu: 42 o C

Fri: 41,2o C

What was the average maximum for these five days?

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

5. Mrs Marais wants to tile her bathroom in the following pattern.

Figure 6
Figure 6 (graphics18.png)

Each tile is square, with a side of 25 cm..

5.1 What are the measurements of the bathroom?

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

5.2 What is the area of the bathroom (in m2)?

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

5.3 How many white and black tiles respectively must Mrs Marais buy? (The sketch only illustrates the pattern, and not the number of tiles).

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

5.4 Express the black tiles as a fraction of the white tiles (simplify if possible).

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

6. If each square in the following figure is 2 cm by 2 cm, calculate the size of the area that is coloured in.

Figure 7
Figure 7 (graphics19.png)

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

7. A gift is decorated with ribbon.

Figure 8
Figure 8 (graphics20.png)
7.1 Calculate the total length of the ribbon used if 14,5 cm was used for the bow alone.

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

7.2 How much ribbon is left over if 5 m of ribbon was bought?

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

8. The Blue Train departs from Cape Town for Johannesburg.

There are 18 compartments (maximum 4 persons) and 12 coupes (maximum 2 persons).

8.1 What is the maximum number of passengers that can be accommodated?

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

8.2 The train departs on Tuesday at 23:20 from Cape Town and arrives on Thursday at 06:15 in Johannesburg. What is the duration of the journey?

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

TOTAL: 40

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