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Mathematics

Space and shape

Educator section

Memorandum

  • (a) acute

(b) right

(c) obtuse

(d) straight

(e) reflex

(f) revolution

9.2

(a) 37°

(b) 128°

(c) 60°

(d) 90°

(e) 120°

(f) 87°

  • (a) equal in size

(b) The length of the lines has nothing to do with the size of the angles

.

  • NE : 048°

E : 090°

SE : 133°

S : 180°

12.3 C : 125° F : 070°

E : 250° K : 295°

W : 190°

12.4

Leaner section

Content

Activity: angels [lo 4.8, lo 4.9, lo 3.8]

9. LET US REVISE

When lines are joined, angles are formed.

9.1 Work in groups of three. See which group can state the kind of angle in each diagram!

.2 Estimate the sizes of the following angles. Then measure them carefully with your protractor and complete the table.

º

Angle Estimated Measured
a) 1 _____________ _____________
b) 2 _____________ _____________
c) 3 _____________ _____________
d) 4 _____________ _____________
e) 5 _____________ _____________
f) 6 _____________ _____________

9.3 Draw the following angles with the help of your protractor:

a) 49°

b) 97°

c) 196°

d) 216°

9.4 BRAIN-TEASER!

a) Which angle is the larger: a or b?

b)

_____________________________________________________________________

b) What have you realised? ___________________________________________

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

9.5 REMEMBER!

The size of an angle is determined by the amount of rotation there is around the fulcrum.

λ POINT
A number of points together form a
LINE
Lines segments joined give
ANGLES
Angles joined together form
FIGURES

11. BRAIN-TEASER!

What is the smallest number of straight lines that can be used to join the dots below WITHOUT lifting up your pencil?

(Can you do it with three lines?)

12. ANGLES AND NAVIGATION

12.1 Did you know?

In navigation and aviation, direction is always determined in terms of the angle which is made by the route (clockwise) with the north line.

i.e. we measure in degrees, the amount of turning from north.

Line to the route in a clockwise direction.

The north line is 0˚.

A bearing is always indicated with three digits. A bearing of 26˚ is written as 026˚.

12.2 Look carefully at this magnetic compass. A compass needle always points to north. Now write down the following directions in degrees.

NE : ____________________

E : ____________________

SE : ____________________

S : ____________________

12.3 Study this radar screen which can be found on a boat. Write the direction of the following boats in degrees:

C : ____________________

E : ____________________

F : ____________________

K : ____________________

W : ____________________

Assessment

Learning Outcome 4: The learner will be able to use appropriate measuring units, instruments and formulae in a variety of contexts.

Assessment Standard 4.8: We know this when the learner classifies angles into acute, right, obtuse, straight, reflex or revolution;

Assessment Standard 4.9: We know this when the learner estimates, compares, measures and draws angles accurate to one degree using protractors.

Learning Outcome 3: The learner will be able to describe and represent characteristics and relationships between two-dimensional shapes and three-dimensional objects in a variety of orientations and positions.

Assessment Standard 3.8: We know this when the learner locates positions on co-ordinate systems (ordered grids) and maps.

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Source:  OpenStax, Mathematics grade 7. OpenStax CNX. Sep 16, 2009 Download for free at http://cnx.org/content/col11075/1.1
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