CORE CLASSROOM COURSE Mathematics
HEADSTART MATHEMATICS
OUP SA Headstart Mathematics is an easy-to-use series with: updated assessments now according to the DBE’s 2017 Strengthening the CAPS circular
a simple, step-by-step approach full CAPS coverage extensive language support: new words and exam words at the bottom of every page
a problem solving approach notes and tips that enhance the learning of mathematical theories and mathematical formulae
a free resource CD, packed with useful teacher resources (Grade 8 and 9).
GRADE 7 *Learner’s Book
*Teacher’s Guide *Leerdersboek
*Onderwysersgids
GRADE 8 *Learner’s Book
*Teacher’s Guide *Leerdersboek
*Onderwysersgids
GRADE 9 *Learner’s Book
*Teacher’s Guide *Leerdersboek
*Onderwysersgids
978 0 19 905684 2 978 0 19 905304 9 978 0 19 904838 0 978 0 19 905481 7
978 0 19 905903 4 978 0 19 904413 9 978 0 19 905570 8 978 0 19 904299 9
978 0 19 904459 7 978 0 19 905986 7 978 0 19 599945 7 978 0 19 904320 0
*The full list of e-pdf titles is available in the price list.
SENIOR PHASE
Headstart Mathematics Grade 9 Learner’s Book
16 Oxford University Press South Africa
OxfordSASchools
unit 1 Activity 1 Surface area of 3D objects Revising concepts and skills to be used
In this unit you will work with the area of squares, rectangles, triangles and circles. You will also convert between diff erent units of length and area. Let’s revise what you should know.
Revise 2D shapes and formulae for their area
1 Give a short description of the following. a Square d Circle
b Rectangle e Height of a triangle
2 Write down a formula for calculating the area of the following shapes. Explain each symbol in your formula. a Square
b Rectangle
3 Explain how to convert the following. a cm2 d cm2
to mm2 to m2
(cm2 )
b mm2 e km2
4 Convert to the units in brackets. a 5 m2
to m2 b 10 km2 (m2 d 10 000 cm2 (m2) e 500 cm2 ) (mm2 ) to cm2 c Triangle
c m2 f m2
to cm2 to km2
c 100 mm2 f 10 000 m2
3D objects, their nets and types of face
A net of a 3D object is an arrangement of 2D shapes which can be folded up to make that object.
In this section we are going to use nets to become familiar with the properties of a: •
cube •
• square-based prism rectangular prism
• triangular prism •
cylinder. (cm2 ) (km2 ) d Circle c Triangle
net an arrangement of 2D shapes which can be folded up to make a 3D object 424
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ect
To understand the concept of surface area of a 3D object, we design its net so that: • the base lies at the bottom • the top face lies at the top • the lateral faces (faces on the side) lie in a row between the base and top face. A cube is a 3D object with six congruent square faces.
Example: Analyse the faces of a cube and use your fi nding to defi ne a cube. cube
top left back right front base Think
Count the faces. Identify these faces. Compare the base and the top face.
Compare the lateral faces. Do
There are six faces. All six faces are congruent squares. The base and top face are congruent squares.
The four lateral faces are congruent squares.
Activity 2 Analyse faces of and defi ne 3D objects
For each 3D object below, do the following. a Count its faces. b Identify these faces. c Compare the base and the top face. d Compare the lateral faces. e Defi ne the 3D object.
1 square-based prism
top left back right front base lateral faces the faces on the side of a 3D object 425
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Term 3
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