Exemplar Booklet - Manitoba Department of Education and Training

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14BQuestion 15 Prove the identity below for all permissible values of x: 2 sin x 2 = cos x − cos x sec x + 1 Exemplar 1 2 out of 3 Method 1 + 1 mark for correct substitution of identities + 1 mark for algebraic strategies 32 Pre-Calculus Mathematics: Exemplar Booklet (June 2013)
Exemplar 2 1 out of 3 Method 1 + 1 mark for correct substitution of identities E3 (variable omitted) E3 (variable introduced without being defined) E7 (notation error in line 2 of right-hand side) Pre-Calculus Mathematics: Exemplar Booklet (June 2013) 33
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 18 and 19: 5BQuestion 6 In the binomial expans
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 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 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 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
Page 68 and 69: 27BQuestion 36 Give an example usin
Page 70 and 71: 28B BQuestion 37 Sketch the graph o
Page 74 and 75: Exemplar 2 If Mohamed’s graph ½
Page 78 and 79: 31BQuestion 40 a) Sketch the graph
Page 80 and 81: Exemplar 3 a) 2 out of 2 b) 1½ out
Page 82 and 83: 32B32B32BQuestion 41 ( ). Given f (
Page 84 and 85: 33BQuestion 42 ⎡π ⎤ ⎢ ⎣2
Page 86 and 87:
34BQuestion 43 Sketch the graph of
Page 88 and 89:
Exemplar 4 3 out of 4 + 1 mark for
Page 90 and 91:
Exemplar 3 1 out of 2 Method 2 + ½
Page 92 and 93:
Exemplar 3 1 out of 2 + 1 mark for
Page 94 and 95:
90 Pre-Calculus Mathematics: Exempl
Page 96 and 97:
92 Pre-Calculus Mathematics: Exempl
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