Yr 11 Maths Methods Semester 2, 2019
Content list
Circular functions
Exercise
Reviewing Trigonometric ratios
Measuring angles in degrees and radians
Defining circular functions: sine cosine
Another circular function: tangent
Symmetry properties of circular functions
Exact values of circular functions
Graphs of the sine and cosine functions
Solution of trigonometric equations
Further sketching of sine and cosine graphs
Further symmetry properties and the Pythagorean identity
The tangent function
Applications of circular functions
Questions
Old Quest 6A 1-10 & 14D ALL
14A ALL
14B ALL
14C ALL
14E 1-7
14F 1-3
14G 1-8
14H 1-8
14I 1-5
14J 1-3
14K 1-5
14L 1-4
14O 1-8
Chapter review ALL
Matrices
Exercise Questions
7A
Old Quest Ex 7A Q1 – 13
Ex7B Q1-14,16,17
7B
Ex 7C Q1 -11, 14, 16-20, 22,23
7C
7E
Essential Text -Ex 7E all questions
7F
Ex 7F all questions
Probability
Questions
Review of Yr 10 Methods Probability unit
Essentials: Ch 9 review
Tech free: 1, 2, 5, 7-16
M/Choice: 1 - 6, 8 - 16
Ext.Response: 2,3
Discrete Random Variables
Essentials: Ex 11A
Discrete probability distribution tables
Qn 1 - 12
The binomial distribution (using CAS)
Essentials: Ex 11C
• requirements for binomial experiments Qn 3 - 7, 9, 12, 14 - 16, 23, 24
• identify X, n, p
• binomial pdf (on CAS)
• binomial cdf (on CAS)
Exponential & Logarithmic Functions
Exercise
Questions
13A Index Laws
ALL (1-13)
Index Laws worksheet
ALL (1-3)
Rational Indices worksheet
13B Rational Indices
13C Graphs of exponential functions
ALL (1-6)
13D Solving exponential equations
and inequalities
ALL (1-6)
13E-Logarithms:
log laws
solving log equations
1 - 4 Logarithm worksheet Ex 8.6
5 - 10 Logarithm worksheet Ex8.7
13F-Using logarithms to solve
exponential equations and
inequalities
1-4
13G- Graphs of logarithmic
functions
1, 4, 5, 6, 7, 8
Introduction to differential calculus
Exercise
16A Recognising relationships
16B Constant rate of change
16C Average rate of change
16D Instantaneous rate of change
Chapter review 16
Questions
18A Tangent and Normal
18B Rates of Change
18C Stationary point
18D Types of stationary points
Essentials
Essentials
Essentials
Essentials
18E – Applications to maximum and minimum
problems (if time otherwise holiday homework)
9G Applications (holiday homework)
18E 1-16
Essentials
Essentials
Essentials
Essentials
Ex16A Qn: ALL
Ex16B Qn: ALL
Ex16C Qn: ALL
Ex16D
Qn: 2,4,5,7,11,12
Tech-free 1-4,MC 1-8,ER 1-7
Ex 18A 1-8
Ex 18B ALL
Ex 18C 1-13
Ex 18D 1-13
Old Quest 9G 1-16
Anti-differentiation and introduction to integral calculus
Exercise
17E Antidifferentiation
21A Approximating areas enclosed by
functions
(To cover: Lower, Upper, Left and Right.)
21B Definite Integrals
21C Signed areas
Applications of Antidifferentiation
Questions
17E ALL & Old Quest 10A 1 - 9
21A ALL & Old Quest 10C 1-6, 7(a, c, e, g), 9(a, c, e, g), 12, 14,
20
21B 1-5 & Old Quest 10D 1-5
21C Qn 4, 10, 12
21 Chapter review Ext response: 2,3, 5, 6, 7, 8