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# Year 8

Curriculum Map

 Autumn 1 Revise and Improve  Four operations Order of operations Negative numbers Fractions Algebra   Number - Fractions 2 Multiply and divide proper and improper fractions and mixed numbers both positive and negative. Fraction x Integer Fraction x Fraction Fraction ÷ Integer Integer ÷ Fraction Fraction ÷ Fraction All of the above proper, improper, mixed, positive and negative.   Find a fraction of an amount. Find the whole amount, given a fraction of the amount. Find a fractional increase and decrease. Autumn 2 Number – Percentages Define percentage as ‘number of parts per hundred’ Interpret diagrams as percentages and vice versa Interpret percentages as a fraction or as a decimal Express one quantity as a percentage of another Compare two quantities using percentages, and work with percentages greater than 100% Interpret percentages as operators, with and without a calculator. Solve problems involving percentage change, including: Percentage increase, decrease and original value problems and simple interest in financial mathematics. Spring 1 Algebra 2 Substitute numerical values into formulae and expressions, including scientific formulae. Include all prior learning specifically fractions, decimals and negatives Simplify and manipulate algebraic expressions to maintain equivalence by: multiplying a single term over a bracket taking out common factors expanding products of two or more binomials. simplifying expressions involving sums, products and powers, including the laws of indices . Use algebraic methods to solve linear equations in one variable (including all forms that require rearrangement) Include equations with brackets Include fractional equations Understand and use the concepts and vocabulary of inequalities. Represent the solution set to an inequality on a number line and vice versa Find the integer solutions of an inequality. Solve linear inequalities in one variable. Rearrange formulae to change the subject, where the subject appears once. Spring 2 Geometry – Circles and Area Convert between cm2 and m2 Derive and apply formulae to calculate and solve problems involving area of circles, composite shapes and trapeziums. Calculate and solve problems involving perimeters of 2-D shapes (including circles). Include examples using algebra, fractions, decimals, etc. Summer 1 Ratio and Proportion and Rates of Change Change freely between related standard units [for example time, length, area, volume/capacity, mass] Use ratio notation, including reduction to simplest form. Divide a given quantity into two or more parts. Given information about one part, find the whole or other part(s). Understand that a multiplicative relationship between two quantities can be expressed as a ratio or a fraction. Use compound units such as speed, unit pricing and density to solve problems. Solve problems involving direct and inverse proportion, including graphical and algebraic representations. Examples may include: Recipe problems Best buy problems Exchange rates Draw and interpret pie charts. Summer 2 Statistics Construct and analyse stem and leaf diagrams, including back to back. For non-grouped data given in the form of a table, find the mean, median, mode and range. Geometry – 3D Shapes Use the properties of faces, surfaces, edges and vertices of cubes, cuboids, prisms, cylinders, pyramids, cones and spheres to solve problems in 3-D. Convert between cm3 and m3 Know and use the fact that 1 litre = 1000cm3 Derive and apply formulae to calculate and solve problems involving volume and surface area of cuboids (including cubes) and other prisms (including cylinders). Construct and interpret plans and elevations of 3-D shapes.