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.

Mon Mar 26th – Yet more circle theorems – Tangent theorems

LEARNING OBJECTIVE: Consolidate the four theorems from last weeks lessons, then add number more – Tangent theorems (sometimes known as the Kite theorems

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

ENGAGEMENT ACTIVITY: Circle Theorems Song

LESSON: Use Mymaths Lesson to look at Theorems for tangents of a circle

Finish ALL Level B questions from Ex 13C, The level B questions from Ex 13D, then level b questions form Ex 13E

EXTENSION WORK: Level A questions on page 314, then Level A questions on page 316, the A level questions on page 319

PLENARY: Checking answers, feedback from students on confidence.

HOMEWORK:

Two Booster pack homework's set for next Thursday

Weds / Thurs lesson will be a mock examination paper in exam conditions

Thur 22nd Mar – Another Circle Theorem – Cyclic Quadrilaterals

LEARNING OBJECTIVE: Consolidate the three theorems from yesterdays lesson, then add number four – Cyclic Quadrilaterals

SUCCESS CRITERIA: You will be able solve circle problems using any of the first 4 circle theorems

ENGAGEMENT ACTIVITY: Exam Questions to attempt

LESSON: Give answers to Starter questions (not q2 part b)

Use Mymaths Lesson to look at Theorems for cyclic quadrilaterals.

Now have a go at Q2b

Finish ALL Level B questions from Ex 13C, The level B questions from Ex 13D

EXTENSION WORK: Level A questions on page 314, then Level A questions on page 316

PLENARY: Checking answers, feedback from students on confidence.

HOMEWORK: This weeks homework on Trigonometry Deadline Extended to Monday

Two Booster pack homework's set for next Thursday

Next week Weds / Thurs lesson will be a mock examination paper in exam conditions

Weds mar 21st – Geometry - Circle Theorems

LEARNING OBJECTIVE: To understand and apply circle theorems to geometry problems

SUCCESS CRITERIA: You will understand the first three circle theorems

1. The angle at the centre of a circle is twice the angle at the circumference subtended by the same arc
   
2. Every angle at the circumference of a semi circle that is subtended by the diameter of the semi circle is a right angle
   
3. Angles at the circumference in the same segment of a circle are equal.
   

ENGAGEMENT ACTIVITY: Sketch and name all the parts of a circle you know.

LESSON: Using this Lesson Work through screen 3, then screen 5, then screen 2 – using questions on each screen to consolidate understanding. Have a go at Ex 13C page 313 if time.

PLENARY: Checking answers throughout the lesson, feedback at end of lesson.

Tues Mar 20th – Review and revision from Last weeks trig test

LEARNING OBJECTIVE: To review test results and revise exam questions

SUCCESS CRITERIA: You will be able to solve grade A/A* Trigonometry / Pythagoras Questions

ENGAGEMENT ACTIVITY: hand out tests, display results on IWB, explain why two sets of marks

LESSON: Work thorugh ALL questions in as much detail as students need, encourage participation and explanations from the class. 1^st six questions are all level B questions (12 marks) rest are A/A* questions (another 34 marks)

Use these Sketchup files to help show which lines/are needed in 3D shapes

Cuboid,
Wedge, Garden Shed, Square based pyramid

PLENARY: Confidence feedback from students

Mon Mar 19th – Vector Racing

LEARNING
OBJECTVIE: To get an understanding of vectors by racing around a track

SUCCESS
CRITERIA: You will understand how vectors can be used to describe a movement on a grid and how the two components represent distance in the x and y directions

STARTER: Use the NrIch vector Game in practice Mode

LESSON: Show how to draw a grid on paper and then race in pairs / threes

RULES:

1. Take alternate turns
   
2. CAN only change either the vertical or horizontal component by +1, 0 or -1
   
3. Going Off Course - Miss a turn
   

Play a full game on screen with all present using this web site – Road rampage Track is good

PLENARY: Discussion on efficient racing around the track

Weds 14th Mar – Bearings and Trigonometry

LEARNING OBJECTIVE: To use trigonometry ratios to Solve Bearings problems.

SUCCESS CRITERIA: You will be able to use your knowledge of trig ratios to solve a variety of bearings problems

ENGAGEMENT ACTIVITY: Can you find a solution to this problem by drawing it accurately and measuring.

A ship sails 80km on a bearing of 073°, it then changes direction and sails for 240km on a bearing of 165°.

How far south has it travelled from its starting point?

How far east has it travelled from its starting point?

LESSON: Go over above question step by step to show what needs to be measured (or calculated) to solve the problem.

Students to have a go at questions in Ex 12N in Higher Text book.

EXTENSION: Exam questions from end of chapter

PLENARY: Checking Answers, Exam Pro questions if time. Summary of Trig Ratios

Tues 13th March – Angles of depression and elevation

LEARNING OBJECTIVE: To establish how to use trigonometry rules when a question uses angles of depression or elevation

SUCCESS CRITERIA: You will be able to use trigonometry to solve angles of elevation and depression questions

GOLDEN RULE: DRAW A DIAGRAM

STARTER: Can you use trigonometry to work out the height of the lighthouse and the tree in these questions (screen 5 from this lesson)

LESSON: Angle of Elevation and Depression Video.

QUESTION: Owen sees a plane up in the sky. He knows it is at a horizontal distance of 45 km and the angle of elevation is 33°. How high is the aircraft.

Work through Ex 12M page 296.

EXTENSION: Look at Bearings – Ex 12N page 297

PLENARY: Checking answers, exam questions

Mon Mar 12th – Solving Problems Using Trigonometry

LEARNING OBJECTIVE: To solve problems using the trigonometry ratios (SOH CAH TOA)

SUCCESS CRITERIA: You will be bale to solve right-angled triangle problems using a combination of Pythagoras theorem and trigonometry

ENGAGEMENT ACTIVITY: How high is that tree?

LESSON: Use above example to demonstrate solving problems using trigonometry.

Use this Website to generate a wordy Trig Problem. Solve it on IWB Then set another one for students to have a go at.

Work through ALL questions in Ex 12L on page 294

Extra Work: Trig Wordy Problems

PLENARY: Checking Answers, Looking at solutions in small groups or whole class as required.

Weds 7th Thurs 8th March – More practice using Trigonometry

LEARNING OBJECTVIE: Use Sine, Cosine and Tangent to solve right-angled triangle problems

SUCCESS CRITERIA: You will be able to solve trigonometry problems using sin, cos, tan, sin^-1, cos^-1, and tan^-1

Engagement Activity: SOH CAH TOA

LESSON: IF you still feel unsure of how to use the trig ratios continue working through Exercise 12h for SINE, 12I for Cosine and 12j for tangent. DONT FORGET to check your answers as you compelte questions.

YOU MUST NOT JUST WRITE DOWN ANSWERS -YOU MUST SHOW SOME WORKING OUT

Use this guidance if unsure

1. Draw a sketch of the question (or copy the drawing given)
   
2. Label the sides you have been given and the side you are looking for (Adj, Opp or Hyp)
   
3. Decide which of the three ratios you need SOH CAH or TOA, rearrange it to put what you are looking for as the subject of the equation
   
4. Substitute values and then use calculator to work out answer
   
5. Write down full answer then an answer to a suitable degree of accuracy
   

If you are confident Skip to exercise 12K on page 291 which are all mixed up. Use above guidelines to get started.

More Explanations

EXTENSION: Ex 12L – Solving problems using trigonometry.

PLENARY: Look at some exam questions using Exam-Pro

   

Mon 5th March/ Tues 6th March – Practice using the trigonometry rules from last week

LEARNING OBJECTVIE: Use Sine, Cosine and Tangent to solve right-angled triangle problems

SUCCESS CRITERIA: You will be able to solve trigonometry problems using sin, cos, tan, sin^-1, cos^-1, and tan^-1

STARTER: Watch & Listen to this Video

LESSON: Have a go at Ex 12H, Then 12I, then 12J

Reminder of the rules

PLENARY: Checking answers from back of book,

Look at an exam questions from exam pro