Mathematics
Scheme of Work
Year 12
Core 2
Note :
All Chapters refer to the Heinemann Modular Mathematics for Edexcel AS/A2 Level
Year 12 AS/A2 Core 2 Mathematics – Scheme of Work (03-03-06)
Topic
Hours
Chapter 1
Algebra and functions
(4 Hours)
1
Simplifying algebraic fractions by division
1
Chapter 2
Trigonometry
(5 Hours)
Chapter 3
Exponential and
logarithms
(3 Hours)
Text Book
Reference
1.1
Exercise
Dividing a polynomial by ( x ± p)
1.2
1B/1C
1
Factorising a polynomial using the Factor Theorem
1.3
1D
1
Using the Remainder Theorem
1.4
1E
1
Summary of Key Points
Using the Sine rule to find missing sides
2.1
Mixed 1I
2A
1
Using the Sine rule to find unknown angles
The rule and finding two solutions for a missing angle
2.2
2.3
2B
2C
1
Using the cosine rule to find an unknown side
Using the Cosine rule to find a missing angle
2.4
2.5
2D
2E
1
Using the Sine rule, the cosine rule and Pythagoras’ theorem
2.6
2F
1
Calculating the area of a triangle using sine
2.7
2G
Summary of Key Points
The function y = aa
Writing expressions as logarithms
Calculating using logarithms to base 10
3.1
3.2
3.3
Mixed 2H
3A
3B
3C
1
Laws of logarithms
Solving equations of the form ax = b
3.4
3.5
3D
3E
1
Changing the base of logarithms
3.6
3F
1
Objectives
Summary of Key Points
Year 12 AS/A2 Core 2 Mathematics – Scheme of Work (03-03-06)
1A
Mixed 3G
Topic
Chapter 4
Coordinate geometry
in the (x,y) plane
(3 Hours)
Chapter 5
The binomial
expansion
(4 Hours)
Chapter 6
Radian measures & its
applications
(3 Hours)
Chapter 7
Geometric sequences
& series
(4 Hours)
Hours
Objectives
Text Book
Reference
4.1
Exercise
1
The midpoint of a line
1
The distance between two points of a line
4.2
4C/4D
1
The equation of a circle
4.3
4E
1
Summary of Key Points
Pascal’s Triangle
5.1
Mixed 4F
5A
1
Combinations and factorial notation
5.2
5B
1
Using n
r
in the Binomial expansion
5.3
5C
1
Expanding (a + bx)n using the binomial expansion
5.4
5D
1
Summary of Key Points
Using radians to measure angles
6.1
Mixed 5E
6A
1
The length of the arc of a circle
6.2
6B
1
The area of a sector of a circle
The area of a segment of a circle
6.3
6.4
6C
1
Summary of Key Points
Geometric sequences
Geometric progressions & the nth term of a sequence
7.1
7.2
Mixed 6D
7A
7B
1
Using geometric sequences to solve problems
7.3
7C
1
The sum of a geometric sequence
7.4
7D
1
The sum to infinity of a geometric series
7.5
7E
Summary of Key Points
Year 12 AS/A2 Core 2 Mathematics – Scheme of Work (03-03-06)
4A/4B
Mixed 7F
Topic
Chapter 8
Graphs of
trigonometric
functions
(4 Hours)
Chapter 9
Differentiation
(3 Hours)
Chapter 10
Graphs of
trigonometric
functions
(4 Hours)
Hours
Objectives
Text Book
Reference
8.1
Exercise
1
Sine, cosine and tangent functions
1
The values of trigonometric functions in the four quadrants
8.2
8C
1
Exact values and surds for trig functions
8.3
8D
1
Graphs of Sine θ, Cos θ and Tan θ
8.4
8E
Simple transformations of Sine θ, Cos θ and Tan θ
8.5
8F
1
Summary of Key Points
Increasing & decreasing functions
9.1
Mixed 8G
9A
1
Stationary points, maximum, minimum and points of inflexion
9.2
9B
1
Using turning points to solve problems
9.3
9C
1
Summary of Key Points
Simple trig identities
10.1
Mixed 9D
10A
1
Solving simple trig equations
10.2
10B
1
Solving equations of the form sin (nθ + α), cos (nθ + α) and tan (nθ + α) = k
10.3
10C
1
Solving quadratic trig equations
10.4
10D
Summary of Key Points
Year 12 AS/A2 Core 2 Mathematics – Scheme of Work (03-03-06)
8A
8B
Mixed 10E
Topic
Chapter 11
Integration
(4 Hours)
Hours
Objectives
Text Book
Reference
11.1
11.2
Exercise
1
Simple definite integration
Area under a curve
1
Area under a curve that gives negative values
11.3
11C
1
Area between a straight line and a curve
11.4
11D
1
The trapezium rule
11.5
11E
Summary of Key Points
Total 41 Teaching Hours
Year 12 AS/A2 Core 2 Mathematics – Scheme of Work (03-03-06)
11A
11B
Mixed 11F