Amelia - A Level Topic List

	A	C	D	E
1		X	½	✔
2	PURE
3	Algebraic Expressions
4	Index Laws	1.1
5	Expanding Brackets	1.2
6	Factorising	1.3
7	Negative and Fractional Indices	1.4
8	Surds	1.5
9	Rationalising the Denominator	1.6
10
11	Quadratics
12	Solving Quadratic Equations	2.1
13	Completig the Square	2.2
14	Functions	2.3
15	Quadratic Graphs	2.4
16	Discriminant	2.5
17	Modellng with Quadratics	2.6
18
19	Equations and inequalities
20	Linear simultaneous equations	3.1
21	Quadratic simultaneous equations	3.2
22	Simultaneous equations on graphs	3.3
23	Linear inequalities	3.4
24	Quadratic inequalities	3.5
25	Inequalities on graphs	3.6
26	Regions	3.7
27
28	Graphs and transformations
29	Cubic graphs	4.1
30	Quartic graphs	4.2
31	Reciprocal graphs	4.3
32	Points of intersection	4.4
33	Translating graphs	4.5
34	Stretching graphs	4.6
35	Transforming functions	4.7
36
37	Straight line graphs
38	y = mx + c	5.1
39	Equations of straight lines	5.2
40	Parallel and perpendicular lines	5.3
41	Length and area	5.4
42	Modelling with straight lines	5.5
43
44	Circles
45	Midpoints and perpendicular bisectors	6.1
46	Equation of a circle	6.2
47	Intersections of straight lines and circles	6.3
48	Use tangent and chord properties	6.4
49	Circles and triangles	6.5
50
51	Algebraic methods
52	Algebraic fractions	7.1
53	Dividing polynomials	7.2
54	The factor theorem	7.3
55	Mathematical proof	7.4
56	Methods of proof	7.5
57
58	The binomial expansion
59	Pascal’s triangle	8.1
60	Factorial notation	8.2
61	The binomial expansion	8.3
62	Solving binomial problems	8.4
63	Binomial estimation	8.5
64
65	Trigonometric ratios
66	The cosine rule	9.1
67	The sine rule	9.2
68	Areas of triangles	9.3
69	Solving triangle problems	9.4
70	Graphs of sine, cosine and tangent	9.5
71	Transforming trigonometric graphs	9.6
72
73	Trigonometric identities and equations
74	Angles in all four quadrants	10.1
75	Exact values of trigonometrical ratios	10.2
76	Trigonometric identities	10.3
77	Simple trigonometric equations	10.4
78	Harder trigonometric equations	10.5
79	Equations and identities	10.6
80
81	Vectors
82	Vectors	11.1
83	Representing vectors	11.2
84	Magnitude and direction	11.3
85	Position vectors	11.4
86	Solving geometric problems	11.5
87	Modelling with vectors	11.6
88
89	Differentiation
90	Gradients of curves	12.1
91	Finding the derivative	12.2
92	Differentiating xn	12.3
93	Differentiating quadratics	12.4
94	Differentiating functions with two or more terms	12.5
95	Gradients, tangents and normal	12.6
96	Increasing and decreasing functions	12.7
97	Second order derivatives	12.8
98	Stationary points	12.9
99	Sketching gradient functions	12.10
100	Modelling with differentiation	12.11