Topic 13 Year 8 Mathematics
| Mathematics | |||
| Topic | Volume and surface area of prisms | ||
| No of lessons | 12 | ||
| When is it happening | Term 3 Year 8 | ||
| What will students learn |
In this unit, students formally meet volume as a measure of the space inside a 3- D object. Students may need to revisit the names and properties of 2-D shapes before moving onto 3-D. Time should be spent building and breaking down 3-D shapes, both with blocks and as nets, to fully understand the properties of these shapes and aid students as they progress onto finding volume and surface area. Students develop their own methods for finding the volume of prisms and before any exposure to the conventional formulae for cuboids, cylinders and other uniform prisms. Different units for volume are explored and converting between these units is an opportunity to practice fractional arithmetic and proportional reasoning. The primary focus for this unit is on developing an understanding of volume and use of formulae within this context. Students are expected to understand the concept of surface area as an application of the area formulae that they encountered in previous units earlier in the year and in year 7. |
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| Key Knowledge that students should know at the end of 'Topic' | This is the knowledge that students will meet for the first time in this topic |
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| This is knowledge that students may have met before but will need to deepen their understanding | Area and perimeter of 2D shapes | ||
| Key Skills that students should be able to demonstrate at the end of 'Topic' | This is the skills that students will meet for the first time in this topic | 4 operations | |
| This is skills that students may have met before but will need to develop | Using multiplication facts to find missing lengths and widths when given the area | ||
| Key vocabulary that students should know and understand | Dimension, prism, composite, perpendicular height, surface area, | ||
| The Big Question | How do we find the volume of a prism? | ||
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Key questions that students should be able to answer at the end of the 'Topic'
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What are vertices on 3D shapes? | ||
| Can I draw nets of shapes? | |||
| Can I recognise nets of 3D shapes? | |||
| Can I calculate the surface are of a shape from its net? | |||
| What is a prism? | |||
| Can I name a 3d shape from its net? | |||
| Can I find the surface area of a 3D shape without its net? | |||
| Can I calculate the surface area of a cylinder? | |||
| Can I use cubes to form other 3D shapes? | |||
| Can I calculate the volume of a cuboid? | |||
| How do you calculate the volume of a prism? | |||
| Can I work out the surface area of a cuboid? | |||