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Use the exact values of the sine, cosine and tangent of 30°, 45°, 60°, and related angles.

Use the identities  and , e.g. in proving identities, simplifying expressions and solving equations

Properties of the graphs of y=sin x, y=cos x  , y=tan x , x in degrees
Learning Objectives along with learning activities
Trigonometric Function [Graphs]

Amplitude, midline, and period

Graphs of sin(x), cos(x), and tan(x)

Transforming sinusoidal graphs

Midline, amplitude, and period review

Review the basic features of sinusoidal functions: midline, amplitude, and period.

Find all the solutions of simple trigonometrical equations lying in a specified interval (general forms of solution are not included),

e.g. solve 3 sin 2x + 1 = 0
for  ‒π < x < π,
3 sin² θ ‒ 5 cosθ – 1 =0
Use the notations sin⁻¹x, cos⁻¹x,  tan⁻¹x to denote the principal values of the inverse trigonometric relations; no specialised knowledge of these functions is required, but understanding of them as examples of inverse functions is expected.

Feedback:
Practice 1
Practice 2
Practice 3

Teaching Tools:

Desmos

Jam Board

Kami Extensions

Kahoot Quizz
Khan Academy Quizz

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Transformation of functions Oxford Complete_Pure_Mathematics_1_for AS & A Level

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Understand the terms function, domain, range, one-one function, inverse function and composition of functions
Introduction
What is a Function?
Type of Functions
Operations with Functions

Composition Functions
Inverse Functions
Inverse Function 1

Finding inverse functions

Review
Practice 1
Practice 2 - Khan Academy

Evaluate function expressions

Practice Questions 3_ Inverse Functions

Illustrate in graphical terms the relation between a one-one function and its inverse;  sketches should include an indication of the mirror line y = x
Understand and use the transformations of the graph of
y = f(x) given by
y = f(x) + a, y = f(x + a),
y = af(x), y = f(ax) and simple combinations of these; including use of the terms ‘translation’, ‘reflection’ and ‘stretch’ in describing transformations;  questions may involve algebraic or trigonometric functions, or other graphs with given features.
Absolute Value
Modulus & it's Graphs

EDpuzzle 1
Edpuzzle 2

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Representation of data
Select a suitable way of presenting raw statistical data, and discuss advantages and/or disadvantages that particular representations may have

1. Analyzing one categorical variable

2. Two-way tables

3. Stem and Leaf Plots

4. Jam Board

Review:

Individuals, variables, and categorical & quantitative data

Create bar graphs

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Calculate and use conditional probabilities in simple cases, e.g. situations that can be represented by a sample space of equiprobable elementary events, or a tree diagram.
Activity 1:  Conditional probability using two-way tables

Activity 1: Conditional probability explained visually

Review:

1. Practice 1

2. Practice 2

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Probability: Dependent & Independent Events

Extension activity: Balls in a box, involving probabilities and tree diagrams

Examples of calculating probabilities using combinations

Review: Example 3.6, 3.7 and Ex_3B
Tools: Jam Board