Pi (π)

From Teach

(Difference between revisions)
Line 76: Line 76:
* So far in maths, you've encountered a number of symbols: +, - ...  
* So far in maths, you've encountered a number of symbols: +, - ...  
** Can you tell me some more symbols you already know (e.g. = x and /)?
** Can you tell me some more symbols you already know (e.g. = x and /)?
-
* Today we're going to learn about a symbol called π.  Nothing to be frightened of -- it's just a number.
+
* Today we're going to learn about a symbol called π.  Nothing to be frightened of -- it's just a number. And we use it when we are calculating various values of circles.
 +
* And in order to introduce this number, we're going to do a short practical.
 +
* Draw a circle on the IWB.
 +
* Can anyone tell me what we call the distance around the outside of the circle?  ([[perimeter]], [[circumference]])
 +
* Can anyone tell me what we call the line from the centre of the circle to the outside?  ([[radius]])
 +
* And can anyone tell me what we call the line that goes through the centre and touches the edge at both ends?  ([[diameter]])
 +
 
* Main worksheet: p.52 of [[Kroll and Mills: 'KS3 Measures, Shape and Space -- Year 9']]
* Main worksheet: p.52 of [[Kroll and Mills: 'KS3 Measures, Shape and Space -- Year 9']]
|-
|-

Revision as of 12:08, 2 December 2009

Heathside Schools Mathematics Department Lesson Plan Outline
Teacher: Mr G Wilson Class: 8A3 Date: 2-Dec-09
Module/Topic: KS3: Perimeter, Area and Volume / Circumference of a Circle Room: T3 Lesson: 13:55-14:45
Lesson Objectives (including AFL)
  • Review homework -- help them to add and subtract areas.
  • Learn and apply the formula for the Circumference of a circle.
Success Criteria
  • Everyone able to remember and apply the formula for the circumference of a circle.
  • Everyone able to write π and know its approximate value.
Class Management Objectives
  • Continue with Emma Bray's strategy to keep them largely quiet and on task.
Lesson Context (including AFL) Prior Pupil Knowledge
  • Area of various quadrilaterals
  • Perimeter
Resources/Equipment
  • Whiteboard pens
  • IWB pen
  • 35 copies of Starter worksheets
  • 35 copies of main worksheet
  • 15 copies of Extension
  • 35 copies of homework sheet
  • Strips of graph paper for estimating π.
  • This lesson plan (two hard copies)
  • Whiteboard rubber
  • Spare calculators
  • Mega-compasses
  • List of star students on PowerPoint
  • Two examples from Monday's homework on ActivStudio flipchart
Provision for EAL/SEN/G&T
Health and Safety
  • No abnormal risks -- today will be just worksheet and whiteboard.
  • Students may need to use compasses (for circle construction).
Named Students
  • Stuart Hooker (ASD)
  • Paige Barrow (BESD)
  • John Sadikoglu (SLD)
  • Freddie Thompson (BESD)
  • Jake Gaywood (SLD)
  • Curtis Hillier (BESD)
  • Reece Lowden (Moderate LD)
  • Daniel Quest (Language)
  • Emily Ross (SLD)
Starter
  • Review specific homework problem about adding and subtracting areas.
    • Some of the shapes were a little more complicated than the quadrilaterals we have been looking at.
    • Break them down into shapes you know the area of.
      • Area of the whole shape is the sum of the areas of the parts.
    • Where you are asked for the area of a shaded part, you will have to do a subtraction.
      • Area of the shaded part is the area of the whole shape minus the area of the unshaded part.
    • Sometimes they may not directly give you the length of a side: you may have to work it out.
  • Issue worksheet.
    • You can use a calculator if you wish.
    • 5 minutes, starting now.
    • Take the Register while they are doing it.
  • Review answers.
  • Show list star students for this and previous homework. Issue merit stickers at end.
Development activities (including AFL)
  • Today we're going to meet a new symbol.
  • So far in maths, you've encountered a number of symbols: +, - ...
    • Can you tell me some more symbols you already know (e.g. = x and /)?
  • Today we're going to learn about a symbol called π. Nothing to be frightened of -- it's just a number. And we use it when we are calculating various values of circles.
  • And in order to introduce this number, we're going to do a short practical.
  • Draw a circle on the IWB.
  • Can anyone tell me what we call the distance around the outside of the circle? (perimeter, circumference)
  • Can anyone tell me what we call the line from the centre of the circle to the outside? (radius)
  • And can anyone tell me what we call the line that goes through the centre and touches the edge at both ends? (diameter)
Plenary / AFL
  • "If, next lesson, I show you a worksheet of circles of various radius or diameter, how confident will you be that you can calculate the circumference? Show me the R-Y-G from your diaries."
  • "Those of you showing me yellow, can you tell me what the difficulty is?"
Cross-curricular links (Literacy, Numeracy, Citizenship, Spirituality, ICT)
Homework
Personal tools
lessons in production
School-specific
Lessons by class
University Exercises