A level topics by Textbook Chapter – Year 1 and AS

1. Problem solving exam questions

ONLINE COURSE: Indices, surds and logarithms – Mathsaurus course with teaching videos and worksheets with full video solutions

0. GCSE Quadratics topics
1. The Discriminant
2. Completing the square (monic)
3. Completing the square (non-monic)
4. Completing the square (general)
5. Advanced quadratics (inc proof of the formula)

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ONLINE COURSE: Quadratic equations and inequalities – Mathsaurus course with teaching videos and worksheets with full video solutions

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ONLINE COURSE: Quadratic equations and inequalities – Mathsaurus course with teaching videos and worksheets with full video solutions

1. Midpoint of two points
2. Dividing points in a ratio
3. Distance between two points
4. Equations of straight lines
5. Parallel and perpendicular lines
6. Perpendicular bisectors (two methods)
7. Equation of a circle
8. Finding the centre and radius

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ONLINE COURSE: Co-ordinate Geometry + Differentiation – Mathsaurus course with teaching videos and worksheets with full video solutions

0. GCSE Trigonometry
1. Graphs of sin cos and tan using the unit circle
2. Proving two useful trig identities
3. Using identities to solve equations
4. Cosine rule
5. Sine rule including the ambiguous case
6*. Proof of sine and cosine rules

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ONLINE COURSE: Trigonometry and trigonometric equations – Mathsaurus course with teaching videos and worksheets with full video solutions

1. Factorising and sketching cubics
2. The factor theorem
3*. The remainder theorem
4*. Extended factor and remainder theorems

1. Graphs you need to know

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1. Intro to binomial expansions with examples
2.* Powers of 11 in Pascal’s triangle
3.* Powers of 2 in Pascal’s triangle
4. nCr and Pascal’s triangle
5. Harder binomial problems
6.* Sums of squares of rows
7.* Binomial expansions and binomial probabilities

1. Introduction to differentiation
2. Differentiating polynomials
3. Harder examples
4. Equation of a tangent
5. Equation of a normal
6. Differentiation from first principles
7. First principles – polynomial, square root and reciprocal functions

ONLINE COURSE: Co-ordinate Geometry + Differentiation – Mathsaurus course with teaching videos and worksheets with full video solutions

1. Introduction to integration
2. Integration examples
3. Integration to find areas
4*. Proof that integration relates to finding areas
5. Examples of integration to find areas
6. Area below (or partly below) the x axis
7*. Area between two curves

0. Introduction to mechanics at A-level
1. Constant acceleration formulae (suvat equations)
2*. Deriving the suvat equations
3. Suvat equations examples
4. Free fall under gravity

1. Newton’s first and second laws (F=ma)
2. Gravity and contact forces

1. Using differentiation to find velocity and acceleration
2. Using differentiation and integration to solve 1d kinematics problems

1. 1d kinematics and suvat equations