Mathematics Enhancement Programme- Year 9 Resources

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1 Base arithmetic

1.1 Binary numbers

1.2 Adding and subtracting binary numbers

1.3 Multiplying binary numbers

1.4 Other bases

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2 Basic operations

2.1 Place value

2.2 Addition and subtraction

2.3 Multiplication and division

2.4 Problems in context

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3 Indices and standard form

3.1 Index notation

3.2 Laws of indices

3.3 Negative indices

3.4 Standard form

3.5 Fractional indices

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4 Fractions and percentages

4.1 Equivalent fractions

4.2 Fractions of quantities

4.3 Operations with fractions

4.4 Fraction, decimal and percentage equivalents

4.5 Percentage increases and decreases

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5 Linear graphs and equations

5.1 Coordinates

5.2 Straight line graphs

5.3 Linear equations

5.4 Parallel and perpendicular lines

5.5 Simultaneous equations

5.6 Equations in context

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6 Probability

6.1 The probability scale

6.2 The probability of a single event

6.3 The probability of two events

6.4 Theoretical and experimental probabilities

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7 Transformations

7.1 Shapes

7.2 Translations

7.3 Enlargements

7.4 Reflections

7.5 Rotations

7.6 Combining transformations

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8 Statistical diagrams

8.1 Data collection, extraction and presentation

8.2 Statistical measures

8.3 Plotting scatter diagrams

8.4 Lines of best fit

8.5 Equation of the line of best fit

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9 Area, perimeter and volume

9.1 2D shapes

9.2 Area of special shapes

9.3 Perimeter of special shapes

9.4 Surface area and volume of 3D shapes

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10 Sequences

10.1 Constant differences

10.2 Finding the formula for a linear sequence

10.3 Second differences and quadratic sequences

10.4 Special sequences

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11 Algebraic manipulation

11.1 Equations, formulae and identities

11.2 Simplifying expressions

11.3 Factorising

11.4 Using formulae

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12 Constructions and loci

12.1 Recap: angles and scale drawing

12.2 Constructions

12.3 Loci

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13 Graphs, equations and inequalities

13.1 Linear inequalities

13.2 Graphs of quadratic functions

13.3 Graphs of cubic and reciprocal functions

13.4 Solving non-linear equations

13.5 Quadratic inequalities

13.6 Equations of perpendicular lines

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14 Estimation and approximation

14.1 Rounding

14.2 Estimation

14.3 Calculator use

14.4 Error propagation

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15 Trigonometry

15.1 Pythagoras’ Theorem

15.2 Trigonometric functions

15.3 Calculating sides

15.4 Calculating angles

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16 Cumulative frequency

16.1 Averages

16.2 Grouped data

16.3 Cumulative frequency

16.4 Box and whisker plots

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17 Quadratic functions

17.1 Quadratic expressions

17.2 Quadratic equations: factorisation

17.3 Quadratic equations: completing the square

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18 Sampling

18.1 Random samples

18.2 Sampling techniques

18.3 Stratified random samples

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