- MA5-ARE-C-01 solves problems involving the surface area of right prisms and practical problems involving the area of composite shapes and solids
📖 Prior Knowledge
| Content | Prerequisite relationships |
|---|---|
| Two-dimensional Spatial Structure B | - Find the area of a triangle → Find the surface area of a prism |
| Three-dimensional Spatial Structure A | - Work with nets of 3D objects → Identify and create nets of prisms |
| Length | - Find the circumference of a circle → Find the surface area of a cylinder |
| Right-angled Triangles | - Find a side using Pythagoras’ theorem → Find the surface area of a prism |
| Area | - Find the area of a circle → Find the surface area of a cylinder - Find areas of composites involving circle parts → Solve composite area problems |
| Volume | - Identify cross-sections of prisms → Identify and create nets of prisms |
| Equations A | - Solve 3-step linear equations → Find the surface area of a prism |
Solve problems involving areas and surface areas.pdf
- Solve practical problems involving the areas of composite shapes
- Identify the edge lengths and the faces making up the surface area of prisms
- Recognise and justify whether a diagram represents a net of a right prism
- Create and rearrange nets of right prisms
- Find the surface areas of prisms, given their nets, excluding curved surfaces
- Solve problems involving surface areas of prisms, excluding curved surfaces
Develop and apply the formula for surface areas of cylinders.pdf
- Recognise the curved surface of a cylinder as a rectangle and apply this knowledge to calculate the area of the curved surface
- Develop and apply the formula to find the surface area of a closed cylinder: , where is the length of the radius and ℎ is the perpendicular height
Solve problems involving surface areas of cylinders and related composite solids.pdf
- Solve problems involving surface areas of cylinders and related composite solids