Gr. 10 Math (2D)‎ > ‎

Ch. 7&8 - Similar Triangles & Trigonometry

The triangle is most basic closed polygon. 3D images in video games and computer generated graphics revolve around the most basic of 2D shape - the triangle. In these chapters, we will explore the relationships between basic geometrical shapes. We will apply our understanding of angles and side-lengths to solve problems.
Students will be teaching the lessons, as listed in the table above. The dates and homework for each will be listed here:
TopicHomeworkNotes
 GET READY  (review of necessary skills)

* NB:  You may be quizzed at any moment throughout the trigonometry unit, without prior notice. 
Homework and practice is crucial in all math disciplines, potentially more-so in this field.
Read & Do:  Pg. 370-372 # 1-9


Own Time
7.1 - Similar Triangles  (Sarah, Krista, Devin)

    Playlist on Similar Triangles (includes practice)

Read: Pg. 375-378
Do: Pg. 
379 # 4, 5, 7, 8, 12, 13

Tues. May 14th
7.2 - Use Similar Triangles to Solve Problems (Applications)  (Tom, Luke)

    Videos & Practice
    More on Congruent & Similar Triangles
    Challenging Similar Triangles Problem
Read: Pg. 382-385
Do: Pg. 386 # 3, 4, 7, 9, 10, 11, 12
Wed. May 15th
7.3 - Exploring Similar RIGHT Triangles
(Mia, Marieann, Joeline)


Read: Pg. 391-392 
Do: Pg. 393 #1-4
Thurs. May 16th
7.4 - Sine, Cosine, and Tangent in Right Triangles
(Sean & Julia)
Read: Pg. 394-397
Do: Pg. 398 #2-13
Tues. May 21st
7.5 - Solving Right Triangles
(Emily, Paige, Veronica)
Read:  Pg. 400-403
Do: Pg. 403 # 1-3, 5, 7, 8, 11, 13, 14
Wed. May 22nd
7.6 - Solving Problems (Apps) using SOHCAHTOA
(Danika, Catherine, Anna)
Read: Pg. 408-411
Do: Pg. 412 # 4-16
Thurs. May 23rd
8.1 & 8.2 - The Sine Law (Acute Triangle Trig)
(Emma, Robyn, Kierra)

Read: Pg. 428-432
Do: Pg. 432 # 1-6, 13  &  Pg. 436 # 4, 5, 7
Fri. May 24th
8.3 & 8.4 - The Cosine Law
(Joseph, Nick, Matthew)
Read: Pg. 440-443
Do: Pg. 443 # 1-8
Mon. May 27th 
8.5 - Solving Problems with Trigonometry
(Abd, Fernando, Scott)

Pg. 436 # 6, 8, 9

Pg. 444 # 9-14

Pg. 450 # 3-15
Tues. May 28th
Review Chapters 7 & 8

    Overview of Chapters 7 & 8

 ➯  TEST DATE IS MONDAY JUNE. 3rd
Ch. 7:
    Review Pg. 416 # 1-17 
    Practice Test Pg. 418 # 1-9

Ch. 8:
    Review Pg. 452 # 3-6, 8-13
    Practice Test Pg. 454 # 1-9  
Wed to Fri May 29-31st
Ch. 7 Answers   |   Ch. 8 Answers ] 


The following table is the old list, when not being taught by students:

As usual, this outline is subject to change without notice. Attend class for the most up-to-date version. 
Topic Homework Notes
 GET READY  (review of necessary skills)

* NB:  You may be quizzed at any moment throughout the trigonometry unit, without prior notice.
Homework and practice is crucial in all math disciplines, potentially more-so in this field.
Read & Do:  Pg. 370-372 # 1-9




    Playlist on Similar Triangles (includes practice)

Read: Pg. 375-378
Do: Pg. 
379 # 4, 5, 7, 8, 12, 13

Tues. May 14th
7.2 - Use Similar Triangles to Solve Problems (Applications)

    Videos & Practice
    More on Congruent & Similar Triangles
    Challenging Similar Triangles Problem
 
Read: Pg. 382-385
Do: Pg. 386 # 3, 4, 7, 9, 10, 11, 12


Wed. May 15th
7.3 & 7.4 - Sine, Cosine, and Tangent
      
    Labelling Sides (Opp, Adj, Hyp)
    Basic Trig Ratios  (SOH CAH TOA)
    Trigonometry Basics (Khan Academy)

    Solving for an Unknown Side  (Note)
    * Infinite Practice (Solving Side)
    Solving for an Unknown Angle   (Note)
    * Infinite Practice (Solving Angle)

Read: Pg. 391-392  AND  Pg. 394-397
Do: Pg. 393 # 1a, 4  &  Pg. 398 # 1-7

<-  In case you hadn't noticed, this is an important and easy-to-research topic!


Thurs. May 16th
7.4 - Using Trig Ratios

    See links in box above...

Read: Pg. 394-397
Do: Pg. 398 # 8-13, 16, 17
Thurs. Dec 6th
7.5 - Solving Right Triangles

    See links in box for Lesson 7.3 above...

    Khan Academy Sections
        Solve a Triangle Example
    Written Lesson
    A Re-Introduction to Trig (in case you're still lost)

Read:  Pg. 400-403
Do: Pg. 403 # 1-3, 5, 7, 8, 11, 13, 14
Friday
Dec. 7th

Use the weekend!

7.6 - Right Triangle Applications

    Blank Class Note
    Perfect Khan Academy Playlist with practice

Read: Pg. 408-411
Do: Pg. 412 # 4-16
Mon. Dec. 10th
Review 7.1-7.6

        - Trigonometry of Right Triangles
Review Pg. 416 # 1-17

Want more practice?  CLICK HERE

> We are combining Chapters 7 & 8 <

One assessment at the end. 
Tues. Dec. 11th
8.1-8.2 - The Sine Law (Acute Triangle Trig)

    Perfect Playlist including Infinite Practice

    OLD Blank Note
Read: Pg. 428-432
Do: Pg. 432 # 1-6, 13  &  Pg. 436 # 4, 5, 7
Wed. Dec. 12th
8.3-8.4 - The Cosine Law

    Cosine Law Playlist and Infinite Practice

Read: Pg. 440-443
Do: Pg. 443 # 1-8


Thurs. Dec. 13th
8.5 - Solving Problems with Trig

    Infinite Right-Angle Word Problem Practice
    Word Prob Sample: Complementary Angles
    General Triangle Word Prob Sample
    Solving General Triangles
    

Sine Law Only:  Pg. 434 # 7-12, 14 
                            Pg. 436 # 6, 8, 9

Cosine Law Only:  Pg. 444 # 7-14

Solving Trig Problems:   Pg. 450 # 3-15


Friday Dec. 14th
Review Chapters 7 & 8

    Overview of Chapters 7 & 8

TEST DATE IS WEDNESDAY DEC. 19th

RST will be 4 days: Dates TBD
Examination date coming soon @ 8:30am
Ch. 7:
    Review Pg. 416 # 1-17 
    Practice Test Pg. 418 # 1-9

Ch. 8:
    Review Pg. 452 # 3-6, 8-13
    Practice Test Pg. 454 # 1-9 


Mon. Dec. 17th
&
Tues. Dec. 18th

Test. Wed. Dec. 19th