Skip to content Skip to navigation
CLASS WORK
1 Work in a group to answer the following questions:
1.1 How many metres is a thousand millimetres?
1.2 Which units are the best for giving the following quantities? Some are difficult, and you may have to do some research and bring a better answer back later.
1.2.1 How tall you are.
1.2.2 The distance between our sun and the nearest star.
1.2.3 How long it will take to walk from Cape Town to Cairo.
1.2.4 The amount of milk you drink in a year.
1.2.5 The quantity of vitamin C one has to take in daily.
1.2.6 The temperature of a patient in a hospital in New York.
1.2.7 The area of Greenland.
1.2.8 The speed of a car on the open road.
1.2.9 The amount of wood a cabinetmaker orders at one time.
1.2.10 The total amount of money the government collects in taxes in a year.
end of CLASS WORK
PROJECT
The passing of time.
1 Explain the difference between analogue and digital clocks / watches.
2 List all the clocks in your home, and say whether each is analogue or digital.
3 Find at least one other method used to measure time or show the time – one that is not generally used in western culture. It can be something from earlier times, or something from another country. Try to find something about timekeeping in Africa. Explain clearly how it works.
end of PROJECT
HOMEWORK ASSIGNMENT
1 Complete any remaining questions from the class assignment above.
2 What measuring instruments are used for the following measurements?
2.1 How tall you are.
2.2 The mass of a new–born baby.
2.3 The amount of milk you have to add, in a recipe.
2.4 The paint used for painting the outside of an ordinary house.
2.5 Humidity.
2.6 The speed of a moving car.
2.7 We have a very complicated way of determining leap years. Find out:
2.7.1 Why we need to have leap years, and
2.7.2 Which years will be leap years.
end of HOMEWORK ASSIGNMENT
Connecting with the world – ASSIGNMENT
1 You’ve just discovered your granny’s old recipe book. You remember some of her recipes, and you’d like to try them too. Unfortunately it uses old–fashioned units, which would be a lot of trouble to convert each time. Decide how you can make some kind of aid, like a table of graph or formula, to make conversions easier. The units that occur often are: the temperature of the oven is given in °F; the measures of mass are in ounces and pounds and the liquid measures are in pints.
2 Your father has just bought you a second–hand car, but it was imported from America and all the instruments use units you are unfamiliar with, and have difficulty making sense of. Decide how you can make some kind of aid, like a table or graph or formulae that you can understand exactly what units like miles, gallons, miles per gallon (petrol consumption) mean in our units.
end of ASSIGNMENT
There have been several attempts to reform our Western calendar with its months of different lengths. But it isn’t simple because the number of days in a year isn’t a whole number (that is why we need that peculiar way of determining leap years). It would be an improvement if all the months were the same length, and if the year could consist of four equal quarters. Many people have attempted to change the calendar, but unfortunately all these very clever ideas failed because our old system is so ingrained in our culture. If you want to read more about this, you can try looking up “calendar” in the “Encyclopaedia Britannica”. There’s a lot of material about different calendar systems in various cultures. Try finding something about the “World Calendar”.
CLASS WORK
1 Write down the formulae for calculating (a) the area of a square and (b) the volume of a cube. Use x as the variable.
2 Now complete this table.
| Length of line | Area of square | Volume of cube |
| x | x2 | x3 |
| 7 cm | ................................ | ......................... |
| 7,1 cm | ................................ | ......................... |
| 6,9 cm | ................................ | ......................... |
| 3 cm | ................................ | ......................... |
| 3,3 cm | ................................ | ......................... |
| 2,7 cm | ................................ | ......................... |
3 Say you had a cube that had to be measured by everyone in the class. All the side lengths of the faces are supposed to be 7cm, but not everyone measures very accurately. Then everybody uses his own measurements to calculate the volume of the cube. Will those measuring 1 mm more than 7 cm, make a bigger error in the volume than those measuring 1 mm less than 7 cm?
4 Now you have a square that has to be measured. All the side lengths are supposed to be 3 cm, but again your classmates get different measurements. Each again uses his own measurements, and calculates the area of the square. Will those measuring 3 mm more than 3 cm, make a bigger error in the area than those measuring 3 mm less than 3 cm?
THE FACE THAT LAUNCHED A THOUSAND SHIPS
Assessment
Measurement ω
| I can . . . | ASs | | | | Now I have to . . . |
| Recognise and use units of measurement | 1.3.2 | < | |||
| Name measuring instruments | 4.3 | ||||
| Do conversions | 4.1; 4.2 | ||||
| Measure accurately | 1.5 | > |
good average not so good
| For this learning unit I . . . | |||
| Worked very hard | yes | no | |
| Neglected my work | yes | no | |
| Worked very little | yes | no | Date: |
| Learner can . . . | ASs | 1 | 2 | 3 | 4 | Comments |
| Recognise and use units of measurement | 1.3.2 | |||||
| Name measuring instruments | 4.3 | |||||
| Do conversions | 4.1; 4.2 | |||||
| Measure accurately | 1.5 |
| Critical outcomes | 1 | 2 | 3 | 4 |
| Decodes, understands and solves problems | ||||
| Manages and uses information | ||||
| Accuracy | ||||
| Connects maths with the world |
| Educator: |
| Signature: Date: |
| Feedback from parents: |
| Signature: Date: |
| Learning outcomes(LOs) |
| LO 1 |
| Numbers, Operations and RelationshipsThe 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 standards(ASs) |
| We know this when the learner : |
| 1.1 describes and illustrates the historical development of number systems in a variety of historical and cultural contexts (including local); |
| 1.2 recognises, uses and represents rational numbers (including very small numbers written in scientific notation), moving flexibly between equivalent forms in appropriate contexts; |
| 1.3 solves problems in context including contexts that may be used to build awareness of other learning areas, as well as human rights, social, economic and environmental issues such as: |
| 1.3.1 financial (including profit and loss, budgets, accounts, loans, simple and compound interest, hire purchase, exchange rates, commission, rentals and banking); |
| 1.3.2 measurements in Natural Sciences and Technology contexts; |
| 1.4 solves problems that involve ratio, rate and proportion (direct and indirect); |
| 1.5 estimates and calculates by selecting and using operations appropriate to solving problems and judging the reasonableness of results (including measurement problems that involve rational approximations of irrational numbers); |
| LO 4 |
| MeasurementThe learner will be able to use appropriate measuring units, instruments and formulae in a variety of contexts. |
| We know this when the learner : |
| 4.1 solves ratio and rate problems involving time, distance and speed; |
| 4.2 solves problems (including problems in contexts that may be used to develop awareness of human rights, social, economic, cultural and environmental issues) involving known geometric figures and solids in a range of measurement contexts by: |
| 4.2.1 measuring precisely and selecting measuring instruments appropriate to the problem; |
| 4.2.2 estimating and calculating with precision; |
| 4.2.3 selecting and using appropriate formulae and measurements; |
CLASS WORK
1.1 One
1.2.1 cm of m
1.2.2 light years
1.2.3 months
1.2.4 litres
1.2.5 milligrams
1.2.6 degrees Fahrenheit
1.2.7 km2 or hectares
1.2.8 kilometres per hour
1.2.9 m3
1.2.10 Rand or millions or billions of rand
PROJECT
Encourage originality.
HOMEWORK ASSIGNMENT
2.1 ruler or measuring tape
2.2 scale
2.3 millilitres
2.4 litres
2.5 hygrometer
2.6 speedometer
ASSIGNMENT
CLASS WORK
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 Aug 10, 2009 3:05 pm GMT-5.
