A-Level – Y1

1. Introduction to A-Level Mathematics

2. Induction

3. Algebraic expressions

4. Quadratics

5. Equations and inequalities

6. Graphs and transformations

7. Straight-line graphs

8. Circles

9. Algebraic methods

10. Binomial expansion

11. Trigonometric ratios

12. Trigonometric identities

13. Vectors

14. Differentiation

15. Integration

16. Exponential and logarithms

17. Algebraic methods

18. Functions and graphs

19. Sequences and series

20. Binomial expansion

21. Radians

22. Trigonometric functions

23. Trigonometry and modeling

24. Parametric equations

25. Differentiation

26. Differentiation of parametric and implicit functions

27. Differentiation in context

28. Numerical methods

29. Integration

30. Integration by substitution

31. Integration by parts

32. Differential equations

33. Vectors

34. Revision and introduction to mechanics and statistics

 

A-Level – Y2

1. Introduction to Mechanics (1.8)

2. Data collection (1.1)

3. Constant acceleration (1.9)

4. Large data set (1.1)

5. Measure of location (1.2)

6. Variable acceleration (1.11)

7. Data representation (1.3)

8. Projectile motion (2.6)

9. Correlation (1.4)

10. Further kinematics (2.8)

11. Probability (1.5)

12. Forces and motion (1.10)

13. Statistical distributions (1.6)

14. Friction (2.5)

15. Hypothesis testing (1.7)

16. Moments (2.4)

17. Regression (2.1)

18. Application of forces (2.7)

19. Conditional probability (2.2)

20. Further kinematics (2.8)

21. Normal distribution (2.3)

AQA Level 3 Certificate Mathematics Studies (Core Maths)

1. Introduction to Core Maths.

2. Data

3. Collecting & Sampling

4. Representing Data Numerically

5. Representing Data Diagrammatically

6. Numerical Calculations

7. Percentages

8. Interest Rates

9. Repayment & the Cost of Credit

10. Graphical Representation

11. Taxation

12. Solution to Financial Problems

13. The Modelling Cycle

14. Fermi Estimation

15. Spreadsheets

16. Presenting logical and reasoned arguments in context

17. Communicating mathematical approaches and solutions

18. Analysing critically

19. Mathematical Calculations

20. Properties of a normal distribution

21. Notation

22. Calculating Probabilities

23. Population and sample

24. The mean of sample size n

25. Confidence Intervals

26. Correlation

FS – Entry 3

1. Welcome - Course structure - Unit A1 To get to know each learner about them progression & aspiration.

2. Initial Assessment: Assessments on knowledge & skills related to Numeracy. Identify their level.

3. Add and subtract using three-digit whole numbers

4. Approximate by rounding numbers less than 1000 to the nearest 10 or 100 and use this rounded answer to check results

5. Read, write and understand thirds, quarters, fifths and tenths, including equivalent forms

6. Read, measure and record time using am and pm

7. Read time from analogue and 24-hour digital clocks in hours and minutes

8. Use and compare measures of length, capacity, weight and temperature using metric or imperial units to the nearest labelled or unlabelled division

9. Read, write and use decimals up to two decimal places

10. Calculate with money using decimal notation and express money correctly in writing in pounds and pence

11. Round amounts of money to the nearest £1 or 10p

12. Read, measure and record time using am and pm

13. Read time from analogue and 24-hour digital clocks in hours and minutes

14. Read, measure and record time using am and pm

15. Read time from analogue and 24-hour digital clocks in hours and minutes

16. Use and compare measures of length, capacity, weight and temperature using metric or imperial units to the nearest labelled or unlabelled division

17. Read, write and understand thirds, quarters, fifths and tenths, including equivalent forms

18. Calculate with money using decimal notation and express money correctly in writing in pounds and pence

19. Round amounts of money to the nearest £1 or 10p

20. Read, write and use decimals up to two decimal places

21. Sort 2-D and 3-D shapes using properties, including lines of symmetry, length, right angles, angles, including in rectangles and triangles

22. Extract information from lists, tables, diagrams and charts and create frequency tables

23. Interpret information, to make comparisons and record changes, from different formats, including bar charts and simple line graphs

24. Organise and represent information in appropriate ways, including tables, diagrams, simple line graphs and bar.

FS – Level 1

1. Introduction to Level 1 Functional Skills

2. L1.3 Multiply and divide whole numbers and decimals by 10, 100, 1000

3. L1.4 Use multiplication facts and make connections with division facts

4. L1.5 Use simple formulae expressed in words for one or two-step operations

5. L1.6 Calculate the squares of one-digit and two-digit numbers

6. L1.7 Follow the order of precedence of operators

7. L1.8 Read, write, order and compare common fractions and mixed numbers

8. L1.9 Find fractions of whole number quantities or measurements

9. L1.10 Read, write, order and compare decimals up to three decimal places

10. L1.10 Read, write, order and compare decimals up to three decimal places

11. L1.11 Add, subtract, multiply and divide decimals up to two decimal places

12. L1.12 Approximate by rounding to a whole number or to one or two decimal places

13. L1.13 Read, write, order and compare percentages in whole numbers

14. L1.14 Calculate percentages of quantities, including simple percentage increases and decreases

15. L1.15 Estimate answers to calculations using fractions and decimals

16. L1.16 Recognise and calculate equivalences between common fractions, percentages and decimals

17. L1.17 Work with simple ratio and direct proportions

18. L1.18 Calculate simple interest in multiples of 5% on amounts of money

19. L1.18 Calculate simple interest in multiples of 5% on amounts of money (non calculator)

20. L1.19 Calculate discounts in multiples of 5% on amounts of money (non calculator)

21. L1.20 Convert between units of length in the same system

22. L1.21 Recognise and make use of simple scales on maps and drawings

23. L1.22 Calculate the area and perimeter of simple shapes including those that are made up of a combination of rectangles

24. L1.23 Calculate the volumes of cubes and cuboids

25. L1.24 Draw 2-D shapes and demonstrate an understanding of line symmetry and knowledge of the relative size of angles

26. L1.27 Represent discrete data in tables, diagrams and charts including pie charts, bar charts and line graphs

27. L1.25 Interpret plans, elevations and nets of simple 3-D shapes

28. L1.26 Use angles when describing position and direction, and measure angles in degrees

29. L1.29 Find the mean and range of a set of quantities

30. L1.30 Understand probability on a scale from 0 (impossible) to 1 (certain) and use probabilities to compare the likelihood of events

31. L1.31 Use equally likely outcomes to find the probabilities of simple events and express them as fractions

GCSE Mathematics – Foundation

1. Fractions

2. Fractions, Decimals, Percentages

3. Ratios and Proportions

4. Angle properties in shapes

5. Angles in Parallel Lines

6. Algebraic Manipulations

7. Solving Equations

8. More Solving Equations

9. Statistics

10. Statistical Graphs and Measures

11. Sequences

12. Probability

13. Unit 3.  (Session 1) Groundwork: Geometry

14. Unit 3.  (Session 2) Groundwork: Geometry

15. Bearings

16. Unit 8. Accuracy

17. Unit 9. Circles

18. Unit 12. Quadratics

19. Unit 15. Statistical graphs and measures

20. Unit 16. Transformations of shapes

21. Unit 17. Bivariate data

22. Pythagoras

23. Trigonometry 1 & 2

GCSE Mathematics - Higher

1. Decimals & Rounding

2. Calculator Skills

3. Percentages

4. Ratio

5. Proportion

6. Statitstical Graphs & Measures

7. Algebraic Manipulation

8. Sequences

9. Probability

10. Probability of Combined events

11. Bivariate Data

12. Sampling

13. Angle Facts

14. Growth & Decay

15. Pythagoras’Theorem Trigonometry

16. Trigonometry

17. Simultaneous Equation

18. Indices and Roots

19. Circle

20. Volume

21. Surface Area Compound Measures

22. Construction

23. Quadratics

24. Quadratic Graphs

25. Straight line

26. Further graphs

27. Transformation & Vectors

28. Simultaneous Equations

29. Accuracy

30. Equations and Inequalities