Volume of a Cylinder

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Volume of a Cylinder

Heathside Schools Mathematics Department Lesson Plan Outline CONFIDENTIAL
Teacher: Mr G Wilson Class: 8MA3 Date: Tuesday 15-Dec-09
Module/Topic: KS3 / Shape / Area and Volume Room: T5 Lesson: 10:25-11:15
Learning Objectives (including AFL)
  • Recap the formula for volume of a cuboid.
  • Remember and apply formula for volume of a cylinder
Success Criteria
  • Ensure pupils leave the lesson confident they can find the volume of a cylinder.
Class Management Objectives
  • Achieve quiet and the attention of whole class during the instruction phases.
  • Handle any low-level disruption.
In-Class Support
  • Role of in-class support by others (where applicable): Ruth Howe will be in the class monitoring this lesson. If required, she can help them with the worksheet.
Lesson Context (including AFL)
  • The class was introduced to the notion of Volume yesterday.
  • The class were eased into the Volume of a Cuboid by counting up 1cm cubes. Will it confuse them that you cannot make a cylinder out of cubes?
Prior Pupil Knowledge
  • Circle terms
  • Area of triangle and various quadrilaterals
  • Calculate circumference
  • Calculate area of a circle.
  • Volume of a cuboid
Resources/Equipment
  • Spare Calculators
  • Whiteboard pens
  • EW pen
  • 35 copies of any worksheet
  • This lesson plan (two hard copies)
  • Physical examples of a cylinder and a hollow cylinder.
  • Whiteboard rubber
Provision for EAL/SEN/G&T
  • Extension material:
    • Prisms on p.48 of CGP KS3 Workbook, or
    • Prisms on p.56 of KS3 Measures, Shape and Space: Year 9, or
    • Cylinders in Q. 10 and 11 on p.48 of CGP GCSE Foundation Workbook.
Health and Safety
  • No abnormal risks -- today will be just worksheet and whiteboard.
Named Students with Special Needs
Starter (10 mins)
  • Take the Register
  • Give Izzy back her previous homework.
  • Qns 1 and 2 a-d from Exercise C, from p.57 of KS3 Measures, Shape and Space: Year 8
  • Introduce the starter by saying this is about capacity of hollow boxes.
  • The capacity of the inside is exactly the same as the volume of the outside.
  • When you tip the contents of one full box into another box, what decides whether the other box will overflow? It's about the volume/capacity of the two boxes.
  • Do one example.
  • Write the answers on the worksheet.
Development activities (including AFL)
  • Volume of Cuboid = l x w x h = Area of Base x Height
  • Cuboid is a prism. What is a prism?
  • Can you give me other examples of prisms?
  • Volume of any prism = Area of Base x Height
  • Volume of a cylinder = πr2h, as per p.265 of Impact 2(R)
  • Exercise: 15E Q2 on p.266 (15 mins)
Plenary / AFL
  • Ask for comments, R-A-G display of homework diaries
  • WWW (what went well?)
  • EBI (even better if...)
Cross-curricular links (Literacy, Numeracy, Citizenship, Spirituality, ICT)
  • (If there is time):
Homework
  • Stand by door and collect last night's homework.
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