MPM2D1 - Grade 10 Academic Math

Unit 5 – Trigonometry

Link to course units:  Unit 1       Unit 2     Unit 3     Unit 4     Unit 5

Upcoming Evaluations:

 Evaluation Topics Suggested Date Similar Triangles Quiz Similar and Congruent Triangles 12/14 RAT Quiz Right Angle Triangles 12/20 Unit Qwest Right Triangles Trig+Similar Triangles 1/10 Quiz Sine/Cosine Laws - Formative 1/16 FINAL EXAM (DONT FORGET TO BRING YOUR TEXTBOOK!!) EVERYTHING!! Period 3: 1/28 @9am Period 5: 1/30 @9am Room 2027

Unit 5:  Trigonometry

 Date Topic/Learning goals Daily Work/Assignments Tue Dec 11 Intro to Similar Triangles We will define similar triangles and learn about their properties.  We will also learn how to prove similarity and use properties to solve for unknown values. Text p. 461 #3, 4, 5 CP 141-146 Wed Dec 12 Congruent Triangles We will define and congruent triangles and learn about their properties.  We will also learn how to prove similarity and congruency and use properties to solve for unknown values. CP 147-149   Text p. 462 #6, 7, 10 Thu Dec 13 Applications of Similar Triangles To practice our skills with similar triangles and apply them to real world problems. CP 150   Text p. 475 #6 – 13, 15 Fri Dec 14 QUIZ -  Similar/Congruent Triangles   Intro to Trigonometry We will investigate the primary trig ratios and learn how to write the ratios given a triangle. CP p. 151 – 152 Text  p. 496 #6, 8a – d Mon Dec 17 Using Trigonometry To learn to use the primary trig ratios to find missing sides and angles in a right triangle. CP p. 153 - 155 Text  p. 496 #3 – 5, 9 – 11, 17 Tue Dec 18 Solving Right Triangles Using the primary trig ratios to solve for all missing angles and sides in a right triangle. Text  p. 499 #18, 19, 24, 26   CP p. 156 – 157 Wed Dec 19 Solving Right Triangles Using the primary trig ratios to solve for all missing angles and sides in a right triangle. Text  p. 499 #18, 19, 24, 26   CP p. 156 – 157 Thu Dec 20 RAT Quiz Applications of Trigonometry We will apply our knowledge of trigonometry to solve problems. Text  p. 498 #14, 15, 20, 23, 27, 28, 30 Optional:  CP p. 174-175 #1, 4, 6, 8, 9 Fri Dec 21 Angles of Elevation and Depression We will apply our knowledge of trigonometry to solve real world problems. CP p. 158 – 161 Text p. 516 #2ab         p. 518 #3 – 5         p. 526 #4, 6, 7 Sat-Sun Dec 22 - Jan 6 Winter Break!!!! Enjoy your well-deserved Vacation! Mon Jan 7 Angles of Elevation and Depression We will apply our knowledge of trigonometry to solve real world problems. CP p. 158 – 161 Text p. 516 #2ab         p. 518 #3 – 5         p. 526 #4, 6, 7 Tue Jan 8 Review Work Period Wed Jan 9 Sine Law To derive the sine law and use it to determine sides and angles in non-right triangles. CP p. 163-165 Text p. 549 #1 – 4, 6 – 8 Thu Jan 10 Trig Qwest Fri Jan 11 Start Exam Review Take a break from trig and start refreshing out memory with previous units. Mon Jan 14 Cosine Law To derive the cosine law and use it to determine sides and angles in non-right triangles. CP p. 166 Text p. 566 #2, 4, 5   See HW Tue Jan 15 Non-right triangles trig word problems We will apply our skills with sine law and cosine law to real-world problems. Text p. 550 #10, 15         p. 555 #1, 5, 9, 12         p. 567 #3, 6 – 10, 14 Wed Jan 16 Qwest  Sine/Cosine Laws Thu-Fri Jan 17-18 Solving Any Triangle – Day 1 & 2 We will summarize our strategies for solving trig problems. To extend our knowledge to include bearing and clock problems. We will apply our trigonometry skills to real-world problems. Text p. 568 #13, 15, 16, 19, 26, 27 CP p. 167-168 Mon Jan 21 Exam Review – Day 1 ·        Final Exam Review Package ·        CP p. 169 – 170 (Review of all trig) ·        Text Cumulative Reviews      p. 219 – 220 #1, 4, 5, 7, 8      p. 431 #1 – 6, 7a, 8 – 10,      p. 587 – 588 #1 – 9 Tue Jan 22 Exam Review – Day 2 ·        Final Exam Review Package ·        CP ·        Text Cumulative Reviews      p. 219 – 220 #1, 4, 5, 7, 8      p. 431 #1 – 6, 7a, 8 – 10,      p. 587 – 588 #1 – 9 Wed Jan 23 Exam Review – Day 3 ·        Final Exam Review Package ·        CP ·        Text Cumulative Reviews      p. 219 – 220 #1, 4, 5, 7, 8      p. 431 #1 – 6, 7a, 8 – 10,      p. 587 – 588 #1 – 9 Thu-Wed Jan 24-30 Exams! Good Luck! Thu Jan 31 Exams – Review Day