Teacher's Guide - Pearson

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8c h a p t e rTrigonometrySyllabus: General objectiveThis chapter deals with trigonometric ratios.Specific objectives• y Identify opposite, adjacent and hypotenuse sides of a right-angled triangle withreference to the given angle.• y Calculate the three trigonometric ratios of sine, cosine and tangent in a rightangledtriangle.• y Use the three trigonometric ratios and a calculator to calculate the unknown angleand side in a right-angled triangle.• y Use both the trigonometric ratios and the Pythagorean theorem to solve problemsrelated to real-life situations.AnswersSupport Activity 8.1 (Student’s Book page 141)1. a) Ab)TadjacentxRoppositehypotenuseoppositehypotenuseBadjacentxCc)xVQhypotenuseadjacentWoppositeP44 EXPLORING MATHEMATICS FORM 3
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IntroductionThis Teacher’s Guide
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Extension Activity 1.1 (Student’s
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Activity 1.3 (Student’s Book page
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2c h a p t e rPatterns and sequence
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Exercise 2.3 (Student’s Book page
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Extension Activity 2.3 (Student’s
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Homework Exercise (Student’s Book
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d) 4 200 3 0.945 t < 1 000∴ t > 2
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3. Gaborone: P 5 1.86 3 10 5 3 (1 1
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Extension Activity 12.3 (Student’
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Note: It can be pointed out to stud
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2. a) V a5 3 10 2 3 30 5 9 424.8 c
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Activity 13.2 (Student’s Book pag
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165. a) ___49 and ____ 6434
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3.f) Object stopped and turned back
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Project (Student’s Book page 257)
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3. Speed 5 ________ distancetime
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c)d) 0 metrese) 60 metresf) Speed 5
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2. a) x 2 1 5x 1 6b) 23x 2 1 3c) 22
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2. _______ 3a 1 4b ab2xy 2 x3
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f) 2x(4x 2 1 4x 1 1)5 8x 3 1 8x 2 1
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Homework Activity (Student’s Book
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6. a) A 5 6x m 2288b) ____ 5 24
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Question 44.1 8x 3 1 64y 3 (3)4.2
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7. j 5 258. w 5 7__4 9. n 5
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∴ (x 2 30)(x 1 7) 5 0∴ x 5 30 m
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4. 1__ (2 1 x)x 5 242∴ x 2
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Extension Activity 18.2 (Student’
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6. 5.75 3 100 5 575 bacteria7. T 2
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19r e t p a h c Processing data and
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4. a) Age last birthday Frequency A
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2. a) 200b) 31-40 years was the mos
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35Marks scored in a Mathematics tes
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c) Cumulative frequency of time of
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c) About 1 800 studentsd) Out of 2
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iii) Mass in kg Frequency Middle va
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Exercise 20.3 (Student’s Book pag
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21c h a p t e rScatter graphsSyllab
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2. a) Water used against average gr
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3. a)0.50.5HTH0.5TH0.50.5T0.50.50.5
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23c h a p t e rResearch skills: Dat
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Assessment 4Question 11.1 a) Two wi
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OR üüü (3)b) ___ 212 = 1
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Sample Examination Paper 2 Answers:
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Question 1111.1 Figure L is the ref
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18.1 x 22 21 0 1 2x 2 4 1ü 0ü 1 4
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Question 2121.1 ü (1)21.2 132 rpm
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Teacher's Guide - Pearson

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