SCHEDULE
Term 3& 4
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Week
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Textbook
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Learning intentions
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Success criteria
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1
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7A
7B
7C
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·
Translations of functions
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Dilations and reflections
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Combination of transformations
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Ch6 test
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|
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2
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7D
7E
7F
7G
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·
Determining transformations
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Matrices
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Identities, inverses and determinants for 2x2
matrices
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Using matrices with transformations
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3
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7H
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·
Transformations of graphs of functions with
matrices
·
Review
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Test
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SAC
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4
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9A
9B
9C
9D
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·
Sample spaces and probability
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Estimating probabilities
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Multi-stage experiments
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Combining events
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5
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9E
9F
9G
9H
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·
Probability tables
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Conditional probability
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Independent events
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Solving probability problems using simulation
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6
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10A
10B
10C
10D
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·
Additional and multiplication problems
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Arrangements
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Selections
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Applications to probability
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7
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10E
11A
11B
11C
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·
Pascal’s triangle and the binomial theorem
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Discrete random variables
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Sampling without replacement
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Sampling with replacement: the binomial
distribution
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8
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12A
12B
12C
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Revision for sac +SAC
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|
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9
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13A
13B
13C
13D
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·
The index laws
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Rational indices
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Graphs of exponential functions
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Solving exponential equations and inequalities
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|
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10
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13E
13F
13G
13H
13I
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·
Logarithms
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Using logs to solve exponential equations and
inequalities
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Graphs of log functions
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Exponential models and applications
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Logarithm scales
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|
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Week
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Textbook
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Learning intentions
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Success criteria
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1
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14A
14B
14C
14D
14E
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·
Measuring angles in degrees and radians
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Defining circular functions sine and cosine
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Tangent
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Reviewing trig ratios
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Symmetrical properties of circular functions
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2
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14F
14G
14H
14I
14J
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·
Exact values
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Graphs of sine and cosine
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Solution of trig equations
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Sketch graphs of Asin(n(t+b)) and
Acos((n(t+b))
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Sketch graphs of Asin(n(t+b))+c and
Acos((n(t+b))+c
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3
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14K
14L
14M
14N
14O
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·
Further symmetrical properties and the Pythagorean
identity
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Tangent function
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Numerical methods with a cas
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General solution of trig equations
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Applications of circular functions
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|
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4
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Ch15
16A
16B
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Revision + test Ch13,14
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Recognising relationships
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Constant rate of change
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5
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16C
16D
16E
17A
17B
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·
Average rate of change
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Instantaneous rate of change
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Position and average velocity
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The derivative
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Rules for differentiation
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6
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17C
17D
17E
17F
17G
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·
Diff x^n where n<0
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Graphs of the derivative function
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Antidifferentiation of polynomial functions
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Limits and continuity
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When is a function differentiable
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7
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18A.
18B
18C
18D
18E
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·
Tangents and normal
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Rates of change
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Stationary points
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Types of stationary points
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Applications to max and min problems
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8
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18F
18G
18H
18I
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·
Applications of differentiation to kinematics
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Application of antidiff to kinematics
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Families of functions and transformations
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Newton’s method for finding solutions to
equations
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9
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Revision+ exams
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Term 2
Week 7-Week 11
Lessons
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Txtb
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Learning intentions
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Success criteria
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1
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The language of polynomial
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Apply distributive and index (exponent) laws to
manipulate and simplify expressions involving polynomial and power function,
by hand in simple cases
|
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1
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Division of polynomials
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Express a
cubic polynomial p (x), with integer coefficients, in
the form
p (x) = (x – a) q (x)+ r and determine p(x)/(x – a) , by hand |
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1
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Factorisation of polynomials
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Use
algebraic & graphical to determine and verify solutions to equations over
a specified interval
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1
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Solving cubic equations
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||
1
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Cubic functions of the form f(x)=a(x-h)^3+k
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Sketch by hand graphs of linear,
quadratic and cubic polynomial functions, and quartic polynomial functions in
factored form (approximate location of stationary points only for cubic and
quartic functions), including cases where an x-axis
intercept is a touch point or a stationary point of inflection
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1
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6F
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Graphs of factorised cubic functions
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1
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Solving cubic inequalities
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1
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Families of cubic polynomial functions
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1
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Quartic and other polynomial functions
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1
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6j
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Application of polynomial functions
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1
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6K
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The bisection method
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Use the
numerical method- the bisection method to determine and verify solutions to
equations over a specified interval
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1
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Test
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2
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SAC
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4 weeks
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Week 6: 22/5-28/5
Learning objectives- Chapter 4: Hyperbola, truncus, square root, circle graphs
- To recognize the rules of these relations
- To be able to sketch the graphs of these relations
- To be able to sketch the graphs of simple transformations of these relations
- To find the key features of the graphs of these relations
- To determine the rules of relations of these types given sufficient information
Exercise questions:
4A: 1,3,4
4B: 1,3
4C: 1,2
4D: 1,2,3,4,5,6
4E: 1,2,5,6,7,8,14
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