 Year 8 Maths • Use tables to plot graphs of linear functions given explicitly.
• Construct triangles using a ruler and protractor only given information about their sides and angles; use a straight edge and compasses to construct triangles with given sides including equilateral triangles.
• Use and interpret maps and scale drawings, including four-figure grid references and estimating distances and areas; use bearings to specify direction.
• Classify quadrilaterals by their geometric properties.
• Explore the geometry of cuboids (including cubes) and shapes made from cuboids; find the volumes of cuboids, recalling the formula; draw and interpret the net of a cuboid.
• Understand that rotations are specified by a centre and an angle; complete the rotation symmetry of 2-D shapes; measure the angle of rotation using right angles and simple fractions of a turn.
• List all outcomes for single events, and for two successive events, in a systematic way; find probabilities. Use the fact that the probability of not happening is 1 – probability of happening.
• Use and interpret the statistical measures mode, median, mean and range for discrete and continuous data, including comparing distributions.
• Construct and interpret pie charts.
• Use a calculator effectively and efficiently, including using the memory and bracket keys, and function keys for reciprocals, squares and powers; enter a range of measures including ‘time’; interpret the display; round off a final answer to a reasonable degree of accuracy.
• Use ratio notation, including reduction to its simplest form; solve word problems involving ratio and proportion.
• Manipulate algebraic expressions by multiplying a single term over a bracket and by taking out single term common factors.
• Solve linear equations with integer coefficients in which the unknown appears on both sides of the equation, or with brackets.
• Use index notation for simple positive integer powers; substitute positive and negative numbers into expressions such as 4x – 2, 3x2 + 4 and 2x3.
• Construct triangles and other 2-D shapes using a ruler and a protractor, given information about their sides and angles; construct inscribed regular polygons; construct nets of cubes, regular tetrahedra, square-based pyramids and other 3-D shapes.
• Recall and use the formula for the area of a parallelogram and a triangle; use the formula for the area of a trapezium; calculate perimeters and areas of shapes made from triangles and rectangles; find the surface area of simple shapes using the area formulae for triangles and rectangles.
• Calculate volumes of shapes made from cubes and cuboids.
• Analyse 3-D shapes through 2-D projections and cross-sections, including plans and elevations.
• Identify different mutually-exclusive outcomes and know that the sum of the probabilities of all these outcomes is one.
• Draw and interpret scatter graphs including using lines of best fit; have a basic understanding of correlation, identifying ‘correlation’ or ‘no correlation’.