Course curriculum

    1. 662466-2025-2027-syllabus

    1. 1.1 Arithmetic: Mathematical symbols of equality and inequality

    2. 1.1 Arithmetic: Fractions

    3. 1.1 Arithmetic: Fractions and decimals

    4. 1.2 Negative numbers

    5. 1.2 Negative numbers: Multiply and divide

    6. 1.3 Number facts

    7. 1.3 Number facts: Rational and irrational numbers

    8. 1.4 Sequences

    9. 1.4 Sequences: Quadratic sequences

    10. 1.4 Sequences: Cubic and exponential sequences

    11. 1.5 Approximations and estimation

    12. 1.5 Approximations and estimation: Measurements and bounds

    13. 1.5 Approximations and estimation: Calculating with lower and upper bounds

    14. 1.5 Approximations and estimation: Estimation

    15. 1.6 Indices 1

    16. 1.7 Standard form

    17. 1.7 Standard form: Calculating with standard form

    18. 1.8 Surds: Multiplying and dividing surds

    19. 1.8 Surds: Simplifying surds

    20. 1.8 Surds: Adding and subtracting surds

    21. 1.8 Surds: Rationalising the denominator

    22. 1.9 Calculator: Using the ANS button

    23. 1.9 Calculator: Checking answers and Time and money

    24. Revision exercise 1

    25. Examination-style exercise 1

    1. Extra work: Introduction to Algebra

    2. 2.1 Substitution

    3. 2.2 Brackets and simplifying

    4. 2.2 Brackets and simplifying: Two pairs of brackets

    5. 2.2 Brackets and simplifying: Square brackets

    6. 2.2 Brackets and simplifying: Three pairs of brackets

    7. 2.3 Solving linear equations

    8. 2.3 Solving linear equations: Equations with brackets

    9. 2.3 Solving linear equations: Equations involving fractions

    10. 2.4 Problems solved by linear equations

    11. 2.4 Problems solved by linear equations: More involved equations

    12. 2.5 Simultaneous equations: Substitution method

    13. 2.5 Simultaneous equations: Elimination method

    14. 2.6 Problems solved by simultaneous equations

    15. Revision exercise 2

    16. Examination-style exercise 2

    1. 3.1 Ratio and proportion: Ratio

    2. 3.1 Ratio and proportion: Proportion

    3. 3.1 Ratio and proportion: Currency exchange

    4. 3.2 Map scales

    5. 3.3 Percentages: Percentages

    6. 3.3 Percentages: Percentage increase and decrease

    7. 3.3 Percentages: Profit and loss

    8. 3.4 Financial mathematics: Simple interest and Repeated percentage change

    9. 3.4 Financial mathematics: Compound interest and Income tax

    10. 3.5 Time

    11. 3.6 Rates: Speed, distance and time

    12. 3.6 Rates: Other rates

    13. Revision exercise 3

    14. Examination-style exercise 3

    1. 4.1 Pythagoras' theorem

    2. 4.1 Pythagoras' theorem: Using Pythagoras' theorem in three dimensions

    3. 4.2 Trigonometry: Finding the length of a side

    4. 4.2 Trigonometry: Compound shapes

    5. 4.2 Trigonometry: Finding the size of an unknown angle

    6. 4.2 Trigonometry: Exact trigonometric values

    7. 4.3 Bearings

    8. 4.4 Angles of elevation and depression

    9. 4.5 Scale drawing

    10. 4.6 Three-dimensional trigonometry

    11. Revision exercise 4

    12. Examination-style exercise 4

    1. 5.1 Area: Quadrilaterals

    2. 5.1 Area: Triangles and parallelograms

    3. 5.2 The circle

    4. 5.2 The circle

    5. 5.3 Arc length and sector area

    6. 5.4 Chords and segments

    7. 5.5 Volume: Prisms and cylinders

    8. 5.5 Volume: Pyramids, cones and spheres

    9. 5.6 Surface area

    10. 5.6 Surface area: Units for surface areas and volumes

    11. 5.7 Similarity

    12. 5.7 Similarity: Areas of similar shapes

    13. 5.7 Similarity: Surface areas of similar shapes

    14. 5.7 Similarity: Volumes of similar objects

    15. Revision exercise 5

    16. Revision exercise 5

    17. Examination-style exercise 5

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