Y8 & Y9 Summer School

Following the success of our Summer Lessons in 2021 and 2022, in July and August 2023 we again plan to offer current Y8 and Y9 students the opportunity to build confidence in their maths before they get into their GCSEs.

There are 10 modules available for current Y8 students and 14 modules (which go into greater depth) for the Y9s. You can select as many or as few of these modules as you want, fitting the times in over the summer holidays (and, of course, around any holidays away from home that you may have).

Year 8: Ten Maths Revision Modules

1) Decimals and place value. Rounding (using d.p. and s.f.). Reciprocals, positive and negative roots. Working with fractions (including algebraic).

2) BIDMAS. Expanding and simplifying brackets. Factorisation. Solving linear equations in one variable. Making a variable the subject of an equation.

3) Working with percentages (including short cuts and compound percentage problems). Arithmetic series and finding the general term. Solving inequalities.

4) Indices (powers): the six key rules. Prime numbers, prime factorisation and its use in finding the HCF and LCM.

5) Perimeter and area of standard shapes (including triangles, parallelograms and trapeziums). Formulae for circles and cylinders. The volume of a prism.

6) Ratio and proportion. Scale factors and the scaling of similar shapes; how this affects area and volume.

7) Statistics: mean, median and mode. Data quartiles and displaying with a “Box & whiskers” plot. Construction of Pie Charts.

8) Geometry: equilateral and isosceles triangles. The angles of intersection between lines and opposite angles for parallel lines. Working with the straight line “y=mx+c” equation.

9) Coordinates, Symmetry, Translation, Rotations and Reflections

10) Sets ( A U B , A ∩ B etc.) and Probability calculations

Year 9: Fourteen Maths Revision Modules

1) Decimals and place value. Rounding (using d.p. and s.f.). Reciprocals, positive and negative roots. Working with fractions (including algebraic). Standard form calculations.

2) BIDMAS. Expanding and simplifying brackets. Factorisation. Solving linear equations in one variable. Fractional equations. Making a variable the subject of an equation.

3) Working with percentages (including short cuts and compound percentage problems). Reverse percentage questions. Arithmetic series and finding the general term. Solving inequalities.

4) Indices (powers): the six key rules. Prime numbers, prime factorisation and its use in finding the HCF and LCM.

5) Perimeter and area of standard shapes (including triangles, parallelograms and trapeziums). Formulae for circles and cylinders. The volume of a prism. The volumes of cones and pyramids.

6) Ratio and proportion. Scale factors and the scaling of similar shapes; how this affects area and volume.

7) Statistics: mean, median and mode. Data quartiles and displaying with a “Box & whiskers” plot. Construction of Pie Charts. Drawing Histograms.

8) Geometry: equilateral and isosceles triangles. The angles of intersection between lines and opposite angles for parallel lines. Working with the straight line “y=mx+c” equation. The internal and external angles of polygons.

9) Coordinates, Symmetry, Translation, Rotations and Reflections

10) Sets ( A U B , A ∩ B etc.) and foundation Probability calculations

11) Rewriting straight line equations to allow easy sketching. Finding the equation of a line passing through two given points. The relationship between the slopes of perpendicular lines. The shape of a quadratic curve and the equation of a circle.

12) Pythagoras and Trigonometry. Basic formulae and applying these to real world problems. The relationships between the different trigonometric functions.

13) Surds and their manipulation. Simplifying using prime factorisation. Rationalising various denominator formats. Simplification of expressions. Using surds to give exact values for the Sin, Cos and Tan of 30, 45 and 60 degrees.

14) Standard set theory. Extending this to (Higher) probability questions. “AND” & “OR” type probability problems. The use of probability trees to solve multi-stage probability problems.