1 / 14

Unit1. RIGHT ANGLED TRIGONOMETRY AND UNIT CIRCLE.

Unit1. RIGHT ANGLED TRIGONOMETRY AND UNIT CIRCLE. a. SERRA. 1.1 Right Angled trigonometry. A&B Pythagoras’ rule Class work H&H Discussion. Title > Theory >Examples (?) > Exercises (Odd numbers)> Correct > Extra (even + PS + HL) Individual work:

nevaeh
Download Presentation

Unit1. RIGHT ANGLED TRIGONOMETRY AND UNIT CIRCLE.

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Unit1. RIGHT ANGLED TRIGONOMETRY AND UNIT CIRCLE. a. SERRA

  2. 1.1 Right Angled trigonometry. • A&B Pythagoras’ rule • Class work • H&H Discussion. • Title > Theory >Examples (?) > Exercises (Odd numbers)> Correct > Extra (even + PS + HL) • Individual work: • H&H 10 Examples 1&3: Do it & check your answers. • Minimum required: H&H 10A: 1,3, 10B: 1,3,5 • Extra: H&H 10A: 2,4 10B: 2,4.

  3. 1.1 C&D. Right Angled Trigonometry. Finding sides and angles. • Class work: • Labeling Right angled triangles (Hyp, Opp, Adj) and the three basic trigonometric ratios (sinA, cosA, tanA). SOH CAH TOA • Using GDC mode degrees/radians • Finding the 3rd item in the formula…and finding sides and angles. • Small group work:. • Low level: discuss previous exercises. • Medium/high level: Investigation: Shortest distance (H&H 10, page 208) Extra: itcanbe presented or be added to onlineportfolio. • Individual work: • H&H 10 Examples 4&5: Do them & check your answers. • Exercise H&H 10C 1(a,c,e), 3, 5; 10D 1(a,c,e), 3, 5,7,9 • Extra: Even numbers H&H 10C&D

  4. 1.1 E Problem Solving Using Trigonometry. • Class work: • Distances which are difficult to measure can often be found using trigonometry. • Problem solving techniques (link to web). • Introduction to Exeter. Exonians, Inches, Feet and other smelly things • Small group work (groups of 3/4):. • Exeter 1#1,5,6 ; 2#1,4,5,6,9 • Individual work: • H&H 10 Examples 12&13: Do them & check your answers. • Exercise H&H 10E 1, 5, 9, 13,17 • Extra: Even numbers H&H 10E • Extra: Choose one exercise from group work to present to class/online portfolio (document/video)… this activity continues next lesson.

  5. 1.1 F. The slope of a straight line. • Class work: • How can we measure how steep is a straight-line? Angle? … tangent. Rise/run • Example with points > m > tanA >A • Individual work: • H&H 10 Example 14: Do it & check your answers. • Exercise H&H 10F 1,3 • Extra: Even numbers H&H 10E • Extra: Choose one exercise from group work to present to class/online portfolio (document/video)

  6. 1.1 G. Problem Solving (reloaded) . • Class work: • Ideas from Exeter 1#1,5,6 ; 2#1,4,5,6,9 • Small group work (groups of 3/4):. • Exeter 3#1,4,8,9,10,13 ; Exeter 4# 4,5,6,7,8 • Individual work: • Finish the above. • Choose one exercise from group work to present to class/online portfolio (document/video)… this activity continues next lesson.

  7. Review unit 1.1 • INDIVIDUAL WORKHOMEWORK • Review Set 10A. (Do, correct your answers and write down score (total and percentage “%”) • Extra: Create an online quiz using Google forms and share it with the group. Please make sure your answers are correct. If you do this task you should add it to your online portfolio and submit it. • Next> Quiz Unit 1.1.

  8. 1.2 The Unit Circle.1.2 A. The Unit Quarter Circle. • Class work: • Ideas from Exeter 1#1,5,6; 2#1,4,5,6,9; • 3#1,4,8,9,10,13; 4# 4,5,6,7,8 • Using unit quarter circle to find out sin30, cos30 and more… • Small group work (groups of 3/4):. • Compare your answers in the exercises above with your peer’s. • Individual work: • H&H 11 Example 1 page 227 Do it if needed • Exercise H&H 11A 1 (a,d,g), 2, 6 (see Exeter 3#9) • Make sure you have finished all Exeter exercises listed above) • Extra: Other exercises H&H 11A • Extra: Choose one exercise from group work to present to class/online portfolio (document/video)

  9. 1.2 B. Obtuse Angles • Class work: • Ideas from Exeter 3#9extended. • Using unit quarter circle to find out sin120, cos120 and more… • Small group work (groups of 3/4):. • Exeter 5#3,4,5,7,10,11,12. • Individual work: • H&H 11 Example 2 page 229. Do it if needed • Exercise H&H 11B 4,5,6 • Finish Exeter 5#3,4,5,7,10,11,12 • Extra: Other exercises H&H 11B • Extra: Choose one exercise to present to class/online portfolio (document/video)

  10. 1.2 C. The Unit Circle • Class work: • Ideas from Exeter 6#10 (=1#6), and 5#4. Extended and link with distance formula. • Equation of the unit circle/a circle. Negative and positive values. • Small group work (groups of 3/4):. • Check Exeter page 5 and do Exeter 6# 1,2,3,8,9,10,14. • Individual work: • H&H 11 Example 3 page 232. Do it if needed • Exercise H&H 11C 1b, 2b • Finish Exeter 6# 1,2,3,8,9,10,14. • Extra: Investigation “Parametric Equations”. Can be presented online. • Extra: Choose one exercise to present to class/online portfolio (document/video)

  11. 1.2 D. Problem Solving in circles. • Class work: • Exeter and Math circles . Roles of the Detective, Artist, Actor, Estimator, Reader/Scribe, Planner, Math Advisor, Math Spy, Film Director. • Small group work (groups of 3/4):. • Check Exeter 6 and divide roles as per above to do Exeter 7# 2,3,4,7. • Individual work: • Finish Exeter 7# 2,3,4,7. • Check presentations Exeter page 5 and comment on at least one. • Extra: Choose one exercise to present to class/online portfolio (document/video)

  12. 1.2 E. Sectors and Segments • N.B Many exam questions on sectors and segments. • Class work: • Reminder Perimeter of a circumference = 2πr and area of a circle= πr2Length of an arc = 2πr (α/360) and area of a sector= πr2(α/360) . • Individual work: • H&H 12 Examples 3 and 4 (pages 239 and 240). • Exercises H&H12B 1,5,9. • Check Exeter Page7 • Extra: other exercises in H&H12B • Extra: Choose one exercise to present to class/online portfolio (document/video)

  13. 1.2 F. Radians! • N.B Many exam questions in radians. • Class work: • Measuring in radians. Why? Length of an arc = rαand area of a sector= 0.5 r2α. • Degree-Radian conversions 2πRAD=360DEG • GDC Warning: Mode? • Individual work: • Examples H&H13: 1,2,3,4,5 (pages 261,262,263) do them if necessary. • Exercises H&H13B.1:1(a,c) in radians and degrees • ExercisesH&H13B.2:1 (a,c), 3(a,c), 5 • Extra challenge:H&H13B.2:6 (page 264) • Extra other exercises in H&H13B . • Extra: Choose one exercise to present to class/online portfolio (document/video)

  14. Review unit 1.1 & unit 1.2 • INDIVIDUAL WORKHOMEWORK • Check Answers and Method of Exeter pages 1-7 as listed in this presentation. • Do Exeter Page 8: #8,12,14 (Classwork) • Plus page 37 #(3,4,5,6) (radians) • Review Set 11. (Do, correct your answers and write down score (total and percentage “%”) • Mock Test: Do it under test conditions, then use a different colour to improve your answers giving yourself more time and using books. • Extra: Create an online quiz using Google forms and share it with the group. Please make sure your answers are correct. If you do this task you should add it to your online portfolio and submit it. • Next> TEST Unit 1

More Related