Heathside Schools Mathematics Department Lesson Plan Outline CONFIDENTIAL
| Teacher: Mr G Wilson
| Class: 8MA3
| Date: Wednesday 9-Dec-09
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| Module/Topic: KS3 / Shape / Area and Volume
| Room: T3
| Lesson: 13.55-14.45
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Learning Objectives (including AFL)
- State and apply the formula for the area of a circle.
| Success Criteria
- Ensure everyone leaves the lesson feeling they are confident quoting and using the formula for the area of a circle.
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Class Management Objectives
- Achieve quiet and the attention of whole class during the instruction phases.
- Handle any low-level disruption.
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In-Class Support
- Role of in-class support by others (where applicable): Ms Bray will be present at this lesson. If required, she can help them with the worksheet.
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| Lesson Context (including AFL)
| Prior Pupil Knowledge
- Circle terms
- Area of triangle and various quadrilaterals
- Calculate circumference
- A little practice at calculating the area of a circle.
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Resources/Equipment
- Spare Calculators
- Spare scissors
- Whiteboard pens
- EW pen
- 35 copies of any worksheet
- This lesson plan (two hard copies)
- Whiteboard rubber
- 35 cut-out paper circles
| Provision for EAL/SEN/G&T
- Extension material: p.263 from Impact Maths 2(R)
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Health and Safety
- No abnormal risks, apart from the use of scissors -- today will be just worksheet and whiteboard.
| Named Students with Special Needs
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Settler (10 mins)
- Give out their exercise books straight away.
- Tell them to copy down what is on the board.
- Take the Register while they are doing this.
- Overall, the homework was well done. But I am still waiting for the homework from a couple of you.
- The special stars who got almost everything right or showed most improvement were:
- Farzana
- Luke
- Ruby and
- Katherine.
- If you would care to come up to my desk at the end of the lesson, I will give you a merit sticker each.
- And I still have some merit stickers left over from yesterday that you haven't collected.
- In addition, I have merit stickers for two other students who weren't on my list yesterday but did very well in my first set of homework:
- Kelsey
- Izzy
- Paige
- Blake
- Jodie
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Development activities (including AFL)
- Paper-cutting exercise to transform circle into near-rectangle (as per WhiteboardMaths.com) (20 mins):
- Show a paper circle; show how you can fold it into 2, into 4, etc
- I want all of you to fold it into 16 equal sectors.
- If I fold it over completely each time, how many times do I have to fold it to get 16 sectors? (4 times)
- Then I want you to cut along each of the folds.
- Then arrange the sectors alternately.
- (Show them the Whiteboard.com slide.)
- And stick it into your exercise book, leaving no gaps and no overlaps between the sectors.
- What shape are we creating? (A rectangle)
- What is the rule for the area of a rectangle? (l x w)
- What is the width? (roughly the radius)
- Can you measure the width/radius? (About 6.3cm)
- What is the length? (roughly half the circumference)
- Can you measure it? (About 19.8cm)
- Does that check with our expectation of πr? (3.14 x 6.3cm)
- Circumference = 2πr, so half the circumference = πr
- So the area of this rectangle is roughly πr x r = πr2
- But this rectangle contains all the pieces of our circle, nothing more, nothing less.
- So the area of the circle is the same as the area of this rectangle.
- Area of parts of a circle, and combinations:
- If we have a semicircle of diameter 10 cm, how do we work out the area?
- If we have a quarter-circle of radius 20 cm, how do we work out the area?
- If we have an athletics track of width 50m, straight length 80m, with a semicircleat either end, how do we work out the area?
- If we have a right-angled triangle of height 5cm, base 12cm and with a circle of radius 2cm inside it, how do we calculate the area?
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Plenary / AFL
- Ask for comments, R-A-G display of homework diaries
- WWW (what went well?)
- EBI (even better if...)
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| Cross-curricular links (Literacy, Numeracy, Citizenship, Spirituality, ICT)
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Homework
- Set Q5 on back of worksheet.
- If time, check they understand units in the answer, e.g.:
- If radius is in cm, what units is the circumference in?
- If diameter is in cm, what units is the circumference in?
- If radius is in cm, what units is the area in?
- If radius is in km, what units is the area in?
- If radius is in feet, what units is the area in?
- I think we've got the hang of that.
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