Exemplar Booklet - Manitoba Department of Education and Training

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5BQuestion 6 In the binomial expansion of ( x y) 10 , Justify your answer. − how many terms will be positive? Exemplar 1 1 out of 2 + 1 mark for justification Exemplar 2 There are 11 terms. Since the first and last terms are positive and every other (alternate) term is positive, that would give a total of 6. 2 out of 2 Exemplar 3 1 st , 3 rd , 5 th , 7 th , 9 th and 11 th term will be positive. 1 out of 2 + 1 mark for six terms 14 Pre-Calculus Mathematics: Exemplar Booklet (June 2013)
6BQuestion 7 Solve the following equation algebraically where 180 ≤ θ ≤ 360 . 2 2sin θ + 5cosθ + 1 = 0 Exemplar 1 1½ out of 4 + 1 mark for identity + 1 mark for solving for cosθ − ½ mark for arithmetic error in line 1 E2 (changing an equation to an expression in line 3) E7 (transcription error in line 1) Exemplar 2 3 out of 4 + 1 mark for identity + 1 mark for solving for cosθ + 1 mark for indicating no solution Pre-Calculus Mathematics: Exemplar Booklet (June 2013) 15
Page 1 and 2: Grade 12 Pre-Calculus Mathematics A
Page 3: Table of Contents Instructions ....
Page 6 and 7: 2 Pre-Calculus Mathematics: Exempla
Page 8 and 9: 4 Pre-Calculus Mathematics: Exempla
Page 10 and 11: 1BQuestion 2 2 Solve the equation c
Page 12 and 13: 2BQuestion 3 Jess invests $12 000 a
Page 14 and 15: Exemplar 3 1 3 out of 3 Method 1 10
Page 16 and 17: Exemplar 2 1 out of 3 + 1 mark for
Page 20 and 21: Exemplar 3 2½ out of 4 + 1 mark fo
Page 22 and 23: Exemplar 3 1½ out of 3 Method 2 +
Page 24 and 25: 8BQuestion 9 { } Given that f ( x )
Page 26 and 27: Exemplar 2 ½ out of 2 + 1 mark for
Page 28 and 29: Exemplar 5 1 out of 2 + 1 mark for
Page 30 and 31: Exemplar 4 Horizontally stretch by
Page 32 and 33: 12BQuestion 13 Determine the value
Page 34 and 35: 13BQuestion 14 Angle θ, measuring
Page 36 and 37: 14BQuestion 15 Prove the identity b
Page 38 and 39: Exemplar 3 1 out of 3 Method 1 + 1
Page 40 and 41: Exemplar 5 0 out of 3 Method 1 E2 (
Page 42 and 43: Exemplar 2 2½ out of 3 + ½ mark f
Page 44 and 45: Exemplar 4 0 out of 3 E2 (changing
Page 46 and 47: 16BQuestion 25 Given the graph of y
Page 48 and 49: 17BQuestion 26 Given f ( x ) = 3 an
Page 50 and 51: Exemplar 3 1½ out of 2 award full
Page 52 and 53: Exemplar 3 1 out of 1 award full ma
Page 54 and 55: Exemplar 2 ½ out of 3 + ½ mark fo
Page 56 and 57: Exemplar 4 1½ out of 3 + 1 mark fo
Page 58 and 59: 22BQuestion 31 The graph below repr
Page 60 and 61: 23B0B 23BQuestion 32 The terminal a
Page 62 and 63: 24BQuestion 33 Given the sinusoidal
Page 64 and 65: 25BQuestion 34 The graph of a ratio
Page 66 and 67: 26BQuestion 35 Given that ( x − 1
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27BQuestion 36 Give an example usin
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28B BQuestion 37 Sketch the graph o
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Exemplar 4 1½ out of 3 + 1 mark fo
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Exemplar 2 If Mohamed’s graph ½
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Exemplar 3 1 out of 2 + 1 mark for
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31BQuestion 40 a) Sketch the graph
Page 80 and 81:
Exemplar 3 a) 2 out of 2 b) 1½ out
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32B32B32BQuestion 41 ( ). Given f (
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33BQuestion 42 ⎡π ⎤ ⎢ ⎣2
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34BQuestion 43 Sketch the graph of
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Exemplar 3 1 out of 2 Method 2 + ½
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90 Pre-Calculus Mathematics: Exempl
Page 96 and 97:
92 Pre-Calculus Mathematics: Exempl
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Exemplar Booklet - Manitoba Department of Education and Training

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