More Compass Construction

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	** Elements of a Circle		** Elements of a Circle
	** Constructing a Circle using Compasses		** Constructing a Circle using Compasses
		+	** Constructing a Triangle using Ruler and Compasses
	=== Pupils may have not yet been taught ===		=== Pupils may have not yet been taught ===

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Revision as of 07:40, 10 November 2009

Contents 1 Lesson Details 2 In-Class Support 3 Learning Objectives 4 Prior Knowledge of Pupils 4.1 Pupils may have not yet been taught 5 Class management objectives 6 ECM outcome 7 Demonstrating Learning 8 Possible Pupil Mis-conceptions 9 Resources 10 Risk/Safety Assessment 11 Assessment Opportunities 12 Relationships 13 Opportunities for Differentiation 14 National Frameworks 15 Other terms they need to know 16 Proposed Schedule and Content 17 To Do BEFORE the lesson

Lesson Details

• Class: 8A3 (30-31 pupils)
  • 15-16 boys, 15 girls
• Date: 10th November 2009
• Time: 10.25-11.15
• Room: T5
• Lesson number: 3rd in the day. Last lesson before break.
• National Curriculum (or other syllabus) area: KS3 Y8 Module 14: Shape and Measure
• Target level(s) Grades: This is a relatively low ability set.

In-Class Support

• Role of in-class support by others (where applicable): Ruth Howe will be in the class monitoring this, my third lesson. If required, she can help them with the worksheet and maintain quiet.

Learning Objectives

• Recap on different types of quadrilateral.
• Learn how to bisect an angle using compasses.
• Learn how to build out a rhombus from an isosceles triangle, using compasses.
• Learn how to construct a perpendicular bisector of a line.

Prior Knowledge of Pupils

• Pupil prior knowledge or experience:
  • Symmetry of shapes
  • Rotation of images
  • Measure lengths in cm using a ruler
  • Parallel and Perpendicular lines
  • Right, acute and obtuse angles
  • Measure angles using a protractor
  • Sum of angles of a triangle
  • Isosceles, equilateral and right-angled triangles
  • Types of Quadrilateral
  • Elements of a Circle
  • Constructing a Circle using Compasses
  • Constructing a Triangle using Ruler and Compasses

Pupils may have not yet been taught

• Properties of different types of quadrilaterals

Class management objectives

• Focus on mutual respect today. We need to proceed at a brisk pace, with few disruptions, in order to cover the material and be ready to do the evening's homework.

ECM outcome

• Ensure everyone leaves the lesson feeling they have achieved something.

Demonstrating Learning

• How will your pupils demonstrate successful learning?
  • Answers to worksheet.
  • Construction of circles in their exercise books

Possible Pupil Mis-conceptions

• Confusion over definitions of circle elements
• Confusion over types of quadrilateral

Resources

• Mrs Bray's geometry tin, including gluesticks
• Whiteboard pens
• EW pen
• 32 copies of Circles Reference sheet
• 32 copies of Starter worksheet
• Mathematics Homework Booklet
• Heathside Student Planner
• Mega-compasses
• Mega-Ruler
• Mega-Protractor

Risk/Safety Assessment

• Improper use of compasses. (Count number handed out and write that number on the board.)
• Teacher's drinking water: ensure in an upright bottle in a safe place throughout the lesson.

Assessment Opportunities

• Talking to the students on a one-to-one basis.
• Take in the starter worksheet afterwards.
• Moving around the classroom.
• Using Questioning as part of lesson.

Relationships

• Developing good working relationships:
  • Helping the pupils with their learning.

Opportunities for Differentiation

• Talented and Gifted students: Extension work in Exercise 7D.
• Not-so-able students:
• SEN: SW will not need his laptop for this lesson.

National Frameworks

• Issues related to or derived from National Strategies/Frameworks (in particular, approaches to literacy):
  • Design and Technology
  • Art
  • Engineering
  • Architecture.

Other terms they need to know

Proposed Schedule and Content

Proposed Schedule
Section	Duration	Start Time	Resource Movements	Key Points
Pre-Entry	2 mins	12.35	Put a copy of the starter worksheet and the circles reference worksheet on each pupil's desk.	-
Entry	2 mins	12.37	Get them to line up quietly outside the classroom, then sit them according to the new seating plan.	"Ladies and gentlemen, can everyone wait in a line against the left-hand wall?" "Guys, we won't go into the classroom until everyone is quiet." "Every minute we waste out here will be added on at the end, meaning your lunch break will be shorter."
Registration	2 mins	12.39	Ask if there is anyone in the room whose name wasn't called out. Add him/her to the Register.	Stick to first names only this time. "I'll tell you one thing about myself each time I take the register. Today's interesting fact is that I am married with two children: my son is 22 and my daughter is 18." If they don't say, "Yes, sir", wait until they do.
Preparation for Starter	5 mins	12.41	Gluesticks	"I need you all to glue a copy of this circles reference sheet in your exercise book.'" Teach them about Sector and Segment in Circle Definitions on EW.
Starter	10 mins (5 mins for pupils to do it; 5 mins to review answers)	-	-	Tell them they can refer to their reference sheet now pasted into their exercise books. Tell them to write their names on the worksheet. I'd like to take it in when we've finished the exercise, just to check whether this stuff is sinking in.
Constructing Triangles with Ruler and Compasses	15 mins	-	Hand out compasses where needed. Count them out. Write the number on the board. Ask how doesn't have rulers. Hand out any needed. Count them out. Write the number on the board. Hand out Exercise 7D worksheet.	-
Recap on quadrilaterals	10 mins	"Can anyone tell me what a quadrilateral is?" "Rhombus?" "Trapezium?"	-	Get them thinking about quadrilaterals as two back-to-back triangles -- and how they might use compasses to construct them. Talk about diagonals: where they intersect at right angles, and where they are of equal length.
Setting Homework	-	-	Ask them all to get out their Homework Notebook / student planner. Write the Homework details on the whiteboard. Tell them it needs a pair of compasses, a ruler and a protractor to complete. Make a note of who borrows which overnight. Get rest of rulers and compasses back.	Page 47 in the orange Mathematics Homework Booklet, Exercise 7.1, Questions 1-3. Due tomorrow, Lesson 3. "I am expecting everyone to do the homework, at least questions 1 and 2. It must be done tonight, because I will be taking it in and marking it tomorrow. There will be an automatic detention for anyone who hasn't attempted the homework." "Do you feel you have learnt something today?"
Plenary ?	-	-	-	Mastermind Quiz?
Dismiss	-	-	Stand by the door as they leave the room.	-
Optional Detour on My Rules	-	-	-	"I do not want to spend all my time shouting. If nothing else, we will have quiet in these classes, unless you're working in groups."

To Do BEFORE the lesson

1. Discover whether T12 is free for period 4.
2. Add Mrs Bray's gluesticks to the Geometry Tin.
3. Get a copy of Ruth's T12 seating plan for 8Ma3
4. Check out for any relevant animation on MyMaths.co.uk (No) and WhiteboardMaths.com (Yes, in Shape-Construction-Triangles-Slides 20-25).
5. Make 31 photocopies of p.47 in the homework booklet, in case any claim not to have it.
6. Create a spreadsheet of who is borrowing what overnight.
7. Make 32 copies of the Starter worksheet: Page 22 in 'Measures, Shape and Space: Y9'.
8. Make 31 copies of last lesson's reference sheet.
9. Make 31 copies of Exercise 7D.
10. Print off this Lesson Plan. DONE
11. Print my timetable.
12. Find an exercise to do to ensure constructing triangles sticks in their heads.
13. Download photo and put in Powerpoint.