Teachers' Portal  /  A-Level Maths 9709
Teachers' Portal · Cambridge International AS and A Level Mathematics 9709

A Level Maths lesson packs

93 lessons in 32 topics, in syllabus order. Every pack is a 45-minute plan, a printable worksheet with its answer key, a quiz you can assign or play, and the lab tabs to project.

Find a lesson
Topic 01

Pure Mathematics 1

Quadratics (1.1)

Topic plan →

Completing the square

1.1
PlanWorksheetQuizLab

The discriminant

1.1
PlanWorksheetQuizLab

Quadratic equations and inequalities

1.1
PlanWorksheetQuizLab

Simultaneous equations: one linear, one quadratic

1.1
PlanWorksheetQuizLab

Equations quadratic in a function of x

1.1
PlanWorksheetQuizLab

Functions (1.2)

Topic plan →

Functions: domain, range and composition

1.2
PlanWorksheetQuizLab

Inverse functions

1.2
PlanWorksheetQuizLab

Transformations of graphs

1.2
PlanWorksheetQuizLab

Coordinate geometry (1.3)

Topic plan →

Equations of straight lines

1.3
PlanWorksheetQuizLab

The equation of a circle

1.3
PlanWorksheetQuizLab

Intersections of lines and curves

1.3
PlanWorksheetQuizLab

Circular measure (1.4)

Topic plan →

Radians

1.4
PlanWorksheetQuizLab

Arc length and sector area

1.4
PlanWorksheetQuizLab

Trigonometry (1.5)

Topic plan →

Graphs of trigonometric functions

1.5
PlanWorksheetQuizLab

Exact values and the two identities

1.5
PlanWorksheetQuizLab

Solving trigonometric equations

1.5
PlanWorksheetQuizLab

Series (1.6)

Topic plan →

The binomial expansion

1.6
PlanWorksheetQuizLab

Arithmetic progressions

1.6
PlanWorksheetQuizLab

Geometric progressions and sum to infinity

1.6
PlanWorksheetQuizLab

Differentiation (1.7)

Topic plan →

The gradient of a curve

1.7
PlanWorksheetQuizLab

Differentiating powers and the chain rule

1.7
PlanWorksheetQuizLab

Tangents, normals and rates of change

1.7
PlanWorksheetQuizLab

Stationary points and their nature

1.7
PlanWorksheetQuizLab

Integration (1.8)

Topic plan →

Integration as reverse differentiation

1.8
PlanWorksheetQuizLab

Definite integrals and area

1.8
PlanWorksheetQuizLab

Volumes of revolution

1.8
PlanWorksheetQuizLab
Topic 02

Pure Mathematics 2

Algebra (3.1)

Topic plan →

The modulus function

3.1
PlanWorksheetQuizLab

Polynomial division, factor and remainder theorems

3.1
PlanWorksheetQuizLab

Partial fractions

3.1
PlanWorksheetQuizLab

The binomial series for any rational n

3.1
PlanWorksheetQuizLab

Logarithmic and exponential functions (3.2)

Topic plan →

Logarithms and the laws of logarithms

3.2
PlanWorksheetQuizLab

The exponential function and natural logarithms

3.2
PlanWorksheetQuizLab

Solving exponential equations and inequalities

3.2
PlanWorksheetQuizLab

Reducing relationships to linear form

3.2
PlanWorksheetQuizLab

Trigonometry (3.3)

Topic plan →

Secant, cosecant and cotangent

3.3
PlanWorksheetQuizLab

Compound angle formulae

3.3
PlanWorksheetQuizLab

Double angle formulae

3.3
PlanWorksheetQuizLab

Expressing a sin x + b cos x as R sin(x + a)

3.3
PlanWorksheetQuizLab

Differentiation (3.4)

Topic plan →

Derivatives of exponentials, logarithms and trigonometric functions

3.4
PlanWorksheetQuizLab

The product and quotient rules

3.4
PlanWorksheetQuizLab

Parametric and implicit differentiation

3.4
PlanWorksheetQuizLab

Integration (3.5)

Topic plan →

Integrating exponentials, 1/(ax + b) and trigonometric functions

3.5
PlanWorksheetQuizLab

Integration using trigonometric identities

3.5
PlanWorksheetQuizLab

Integration using partial fractions and f'(x)/f(x)

3.5
PlanWorksheetQuizLab

Integration by substitution

3.5
PlanWorksheetQuizLab

Integration by parts

3.5
PlanWorksheetQuizLab

The trapezium rule

3.5
PlanWorksheetQuizLab

Numerical solution of equations (3.6)

Topic plan →

Locating roots by a change of sign

3.6
PlanWorksheetQuizLab

Iterative methods

3.6
PlanWorksheetQuizLab
Topic 03

Pure Mathematics 3

Vectors (3.7)

Topic plan →

Vectors in two and three dimensions

3.7
PlanWorksheetQuizLab

The vector equation of a line

3.7
PlanWorksheetQuizLab

Parallel, intersecting and skew lines

3.7
PlanWorksheetQuizLab

The scalar product

3.7
PlanWorksheetQuizLab

Differential equations (3.8)

Topic plan →

Forming differential equations

3.8
PlanWorksheetQuizLab

Solving by separating the variables

3.8
PlanWorksheetQuizLab

Complex numbers (3.9)

Topic plan →

Complex numbers: arithmetic in Cartesian form

3.9
PlanWorksheetQuizLab

The Argand diagram, modulus-argument and exponential form

3.9
PlanWorksheetQuizLab

Complex roots and square roots

3.9
PlanWorksheetQuizLab

Loci in the Argand diagram

3.9
PlanWorksheetQuizLab
Topic 04

Mechanics

Forces and equilibrium (4.1)

Topic plan →

Forces, components and resultants

4.1
PlanWorksheetQuizLab

Equilibrium of a particle

4.1
PlanWorksheetQuizLab

Friction and limiting equilibrium

4.1
PlanWorksheetQuizLab

Kinematics of motion in a straight line (4.2)

Topic plan →

Displacement, velocity and acceleration graphs

4.2
PlanWorksheetQuizLab

Constant acceleration: the suvat equations

4.2
PlanWorksheetQuizLab

Variable acceleration: using calculus

4.2
PlanWorksheetQuizLab

Momentum (4.3)

Topic plan →

Momentum and the conservation of momentum

4.3
PlanWorksheetQuizLab

Newton's laws of motion (4.4)

Topic plan →

Newton's laws of motion

4.4
PlanWorksheetQuizLab

Motion on an inclined plane

4.4
PlanWorksheetQuizLab

Connected particles and pulleys

4.4
PlanWorksheetQuizLab

Energy, work and power (4.5)

Topic plan →

Work done by a force

4.5
PlanWorksheetQuizLab

Kinetic and potential energy, the work-energy principle

4.5
PlanWorksheetQuizLab

Power and driving force

4.5
PlanWorksheetQuizLab
Topic 05

Probability & Statistics 1

Representation of data (5.1)

Topic plan →

Stem-and-leaf, box plots, histograms and cumulative frequency

5.1
PlanWorksheetQuizLab

Measures of central tendency and variation

5.1
PlanWorksheetQuizLab

Variance and standard deviation, including coded data

5.1
PlanWorksheetQuizLab

Permutations and combinations (5.2)

Topic plan →

Permutations: arrangements in a line and with restrictions

5.2
PlanWorksheetQuizLab

Combinations: selections

5.2
PlanWorksheetQuizLab

Probability (5.3)

Topic plan →

Probability: sample spaces, exclusive events and tree diagrams

5.3
PlanWorksheetQuizLab

Conditional probability and independence

5.3
PlanWorksheetQuizLab

Discrete random variables (5.4)

Topic plan →

Discrete probability distributions, E(X) and Var(X)

5.4
PlanWorksheetQuizLab

The binomial distribution

5.4
PlanWorksheetQuizLab

The geometric distribution

5.4
PlanWorksheetQuizLab

The normal distribution (5.5)

Topic plan →

The normal distribution

5.5
PlanWorksheetQuizLab

The normal approximation to the binomial

5.5
PlanWorksheetQuizLab
Topic 06

Probability & Statistics 2

The Poisson distribution (6.1)

Topic plan →

The Poisson distribution

6.1
PlanWorksheetQuizLab

Approximations: binomial to Poisson, Poisson to normal

6.1
PlanWorksheetQuizLab

Linear combinations of random variables (6.2)

Topic plan →

Linear combinations of random variables

6.2
PlanWorksheetQuizLab

Continuous random variables (6.3)

Topic plan →

Probability density functions, mean and variance

6.3
PlanWorksheetQuizLab

Sampling and estimation (6.4)

Topic plan →

Populations, samples and the distribution of the sample mean

6.4
PlanWorksheetQuizLab

Unbiased estimates and confidence intervals

6.4
PlanWorksheetQuizLab

Hypothesis tests (6.5)

Topic plan →

Hypothesis tests with binomial and Poisson distributions

6.5
PlanWorksheetQuizLab

Hypothesis tests for a population mean

6.5
PlanWorksheetQuizLab

Type I and Type II errors

6.5
PlanWorksheetQuizLab
No lessons match that yet. Try a broader word, or clear the filters.
Teacher tools

Beyond the packs

Student syllabus pageA-Level Maths 9709 Question bankBuild a test from every course Classes and gradebookAssign quizzes, track everyone Class gamesSeven games on the game bank PlannerBlock out the term Cooperative learningThirteen structures, when to use each