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1. Year 8: Area, Perimeter and Volume: Journey of Knowledge Context and Introduction to Unit In this unit pupils will learn about how to calculate the area and perimeter of a given shapes (stating the correct units). Pupils will make links to work completed on 2-D shapes and how this relates to 3-D shapes in terms of finding the surface area and volume. Prior knowledge (KS2 NC) Measure and calculate the perimeter of composite rectilinear shapes in centimetres and metres. Calculate and compare the area of rectangles (including squares). Estimate volume (for example, using blocks to build cuboids (including cubes)). Recognise that shapes with the same areas can have different perimeters and vice versa. Recognise when it is possible to use formulae for area and volume of shapes. Calculate the area of parallelograms and triangles. CORE KNOWLEDGE Perimeter is the distance measured around the outside of a shape and area is the amount of space measured inside the shape. (Perimeter of rectangles, triangles, parallelograms, trapezium; Area of rectangle, triangle, trapezium, parallelogram.) Formula needed: Triangle = ½ base x height Trapezium = ½ (a + b) h Parallelogram = base x perpendicular height Link this knowledge to calculating surface area of prisms by recognising faces such as rectangles and triangles. Introduction to volume by counting cubes inside a given shape and then link this to the formulae needed for cube and cuboid. Formula needed: Volume of prism = area of cross section x length Solve problems in everyday contexts involving measures Convert between different measures for area, volume and capacity Use tonnes and hectares Know rough metric equivalents of imperial measures ABOVE AND BEYOND Perimeter and area of compound shapes Find missing side lengths from given perimeter or area Write expressions for perimeter and area Convert between different units for surface area and volume VOCABULARY Triangle Rectangle Area Perimeter (etymology) Formula Length Width Prism Compound Measurement Cuboid Volume Vertices Edge Face Units Conversion (etymology) Assessment WOW Zone Task: Volume Problem (e.g. How many of a smaller item can fit inside a bigger item) End of Unit assessment WHERE NEXT? The basic shape knowledge will be built on as we learn about Cones, Cylinder s and Spheres Properties of the shapes learned in Year 8 will also apply to the topic of Similar Shapes The bigger picture: Career links – Builder, Architect, Interior Designer Mathematician – Archimedes.

2. Year 8 - Area, Perimeter and Volume : Assessment Plan M APs – Pupils will complete WOW zone tasks in lessons as well as end of topic tests. This scores will be recorded and used to contribute towards grades which are reported home. S ummative assessment – The knowledge from this unit will be tested as part of a 1 hour P2S exam which will be based on a combination of units covered in the assessment window. Assessment Milestones Emerging Developing Securing Mastering Pupils have basic knowledge that p erimeter is the distance measured around the outside of a shape and area is the amount of space measured inside the shape. Pupils must be have an understanding of and be able to recall the basics of : Introduction to area by counting squares inside a given shape and then link this to the formulae needed for different types of shapes. Introduction to volume by counting cubes inside a given shape and then link this to the formulae needed for cube and cuboid. Pupils must be able to recall the following content: Pupils will be able to use different types of formula to find the area of a shape Formula needed: Rectangle = Length x width Triangle = ½ base x height Parallelogram = base x perpendicular height Calculate the volume of cubes and cuboids Sketch nets of 3D solids Pupils should be able to recall all the content in the knowledge journey and demonstrate application/extend through the following: Calculate the area of compound shapes made from rectangles and triangles Derive and use the formula for the area of a parallelogram Calculate the area of a trapezium and recall the formula Trapezium = ½ (a + b) h Calculate the volume of 3D solids made from cuboids Draw 3D solids on isometric paper Draw plans and elevations of 3D solids Calculate the surface area of cubes and cuboids