LEARNING OBJECTIVE: Consolidate all circle theorems covered so far

SUCCESS CRITERIA: You will be able solve circle problems using these circle theorems:

• Angle at the centre is twice angle at the circumference
  
• Bow tie theorem - angles in same sector are equal
  
• Angle in a semi circle is always 90°
  
• A triangle with two radii is always isosceles
  
• In a cyclic quadrilateral opposite angles always add up to 180°
  
• The radius at a point where a tangent meets the circle is always a right angle
  
• Tangents from a point outside of a circle always form an isosceles triangle
  

LESSON: Use todays lesson get get lots of practice solving these type of questions. Ensure you complete the following sequence of questions:

Exercise and Questions	Page	Level
Ex 13C Q 1 – 4	Page 313/314	Level B
Ex 13D Q 1	Page 315	Level B
Ex 13E q 1 – 4	Page 318/319	Level B
Ex 13C Q 5 – 6	Page 314	Level A
Ex 13 D q 2 – 6	Page 316	Level A
Ex 13E q5	Page 319	Level A
Ex 13 C q7	Page 314	Level A*
Ex 13D q7	Page 317	Level A*
Ex 13E a6	Page 319	Level A*

 

EXTENSION WORK: Teach yourself Alternate Angle theorem by working thoprughpGE 320 AND THEN TRYING EX 13f PAGE 320

PLENARY: Checking answers, feedback from students on confidence.