# Year 8 Maths

Year 8 Maths

- Use index notation for simple positive integer powers; substitute positive and negative numbers into expressions such as 4
*x –*2, 3*x*² + 4 and 2*x*^*3*. - Plot graphs of linear functions in which y is given explicitly or implicitly in terms of
*x*. - Draw and interpret graphs modelling real situations.
- Use parallel lines, alternate angles and corresponding angles; calculate and use the sums of the interior and exterior angles of quadrilaterals, pentagons and hexagons; calculate and use the angles of regular polygons; understand simple proofs involving triangles and quadrilaterals.
- Recall the meaning of circle, chord, tangent, arc, sector, segment; find circumferences and areas enclosed by circles, recalling relevant formulae.
- 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.
- Recognise, visualise and construct enlargements of objects using positive integer and fractional scale factors; identify the centre and the scale factor of enlargement; understand the implications of enlargement for perimeter.
- Transform triangles and other 2-D shapes by rotation or reflection or translation using vectors; recognise and visualise rotations, reflections and translations including reflection symmetry of 3-D shapes; understand the properties preserved by these transformations; understand congruence in the context of transformations.
- 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’.
- Use and interpret diagrams for discrete and continuous data, including frequency polygons and stem and leaf diagrams; identify the modal class; calculate the mean of grouped discrete data compare distributions and make inferences, using the shapes of the distributions and measures of average and range.
- Use and understand terminating and recurring decimals including exact fraction equivalents; solve problems involving multiplication and division by decimals with up to two decimal places
- Use the terms cube root, negative square root; recall the squares to 15²and the corresponding square roots; recall the cubes of 2, 3, 4, 5, and 10; use index laws with numerical and algebraic expressions involving multiplication and division of positive integer powers.
- Use and generate formulae in context; substitute positive and negative numbers into a formula.
- Form and solve equations.
- Change the subject of a formula in cases where the subject only appears once.
- Know that measurements using real numbers depend on the choice of unit; recognise that a measurement given to the nearest whole unit may be inaccurate by up to one half in either direction.
- Solve angle problems involving intersecting and parallel lines, and polygons; understand that the tangent at any point on a circle is perpendicular to the radius at that point.
- Understand, recall and use Pythagoras’ theorem.
- Solve problems involving area and circumference of circles; use pi in exact calculations.
- Understand and use rates and compound measures, including speed and density.
- Solve probability problems involving theoretical models or relative frequency.
- Calculate the mean from grouped continuous data.