Free teacher resources: Mathematics - Topic Levels

Mathematics - Topic Levels - Shape and Space

Level 4	Shape and Space You can draw reflections of shapes in a mirror. You can find out the distance around a shape, called the perimeter. You can work out the area of a shape by counting the squares in it. You can measure different lengths and angles by using the correct equipment and write down the correct units. You can draw well-known shapes in 2-D. You can make 3-D models and know about faces, edges and vertices.
Level 5	Shape and Space You can draw lines and angles accurately to construct shapes and models. You know the angle sum of a triangle is 180 degrees and that angles at a point equal 360 degrees. You know the symmetries of 2-D shapes. Convert units like miles into km. Convert one metric unit to another. You should be able to estimate various everyday measures. Understand and use the formula for the area of a rectangle.
Level 6	Shape and Space Know and use the characteristics of different quadrilaterals. Solve problems with angles on intersecting and parallel lines. Understand and use formulae to work out area and circumference of circles; areas of triangles and trapezia; volumes of cuboids. You can enlarge shapes by positive whole number scale factor. Recognise and use 2-D versions of 3-D shapes. Write simple instructions for a computer to make and change shapes and moving paths.
Level 7	Shape and Space Use Pythagoras. Calculate length, area and volume in 2-D shapes and also in some prisms. Produce enlargements by using a fraction as a scale factor and check the relationship between the two shapes. You can draw the locus of a moving point. Understand and use compound measures such as speed in km per hour. Know that measurements are only as good as the tool used to measure with. Know that limits can be half a unit above or below the stated value.
Level 8	Shape and Space You should know and use congruency and similarity. Use trigonometry ( sin, cos, tan ) in right angle triangles to find missing sides and missing angles. By looking at a formula you can say whether it is for length, area or volume.