A level 数学

(一) Algebra(2课时)

1) Linear equations

2) Quadratic equations and inequalities

3) Factor theorem and remainder theorem

4) Mathematical proof

(二) Coordinate geometry (2课时)

1) The intersection of two lines

2) Equation of a circle

3) Intersection of straight lines and circles

4) Tangent and chord properties involving circles and triangles

(三) Sequence and series(3课时)

1) Arithmetic sequence and series

2) Geometric sequence and series

3) Sum to infinity

4) Modelling with series

(四) Function(3课时)

1) Composite functions

2) Inverse functions

3) Exponential functions

4) Logarithms

5) Binomial Expansion

(五) Trigonometry (4课时)

1) The sine, cosine and tangent graphs

2) Solving equations using graphs of trigonometrical functions

3) The length of an arc and the area of a sector of a circle

4) Trigonometric identities

5) Solving trigonometric equations involving trigonometric identities

(六) Differentiation(4课时)

1) The gradient /tangents/ normal of a curve

2) Stationary points, local minimum and maximum

3) Second derivative and inflection points

4) Chain rule

5) Sketching gradient functions

6) Modelling differential equations

(七) Integration(4课时)

1) The reverse chain rule

2) Areas as the limit of a sum

3) Difinite Intergrals

4) Areas under different situations

5) The trapezium rule

6) Volumes by integration

1. 共计：22节课，45min/节课
2. 在上课过程中不断磨合，根据学生状态调整上课内容，以实现既定目标
3. 可能会根据具体情况适当调整预修的内容