MAP4C UNIT 1 – TRIGONOMETRY

                                   

Vocabulary:  Proportion, cross-multiply, trigonometry, trig ratio, right-angled triangle, adjacent, opposite, hypotenuse, sine, cosine, tangent, SOH-CAH-TOA, trig function, inverse trig function, degree mode, line of sight, angle of elevation/inclination, angle of depression, the horizontal, obtuse triangle.

 

Tentative

Date

Learning Goals

Class work/ Homework

I know I am successful when I can...

Wed Sept 5

.introducing the course

.reviewing how to solve a proportion

.reviewing the Pythagorean Theorem

Worksheets

.solve a proportion by cross-multiplying

.identify the hypotenuse of a right-angled triangle

.find a missing side of a right-angled triangle, if you have the other two sides

Thu Sept 6

.using trigonometry to find unknown sides and angles in a right-angled triangle

.using “SOH CAH TOA” to remember the trig ratios

Worksheets

.draw a diagram and of a right triangle, and label the sides as “adjacent”, “opposite” and “hypotenuse” with respect to a particular angle

.state the three primary trigonometric ratios (sin, cos, tan) for a particular angle

.use SOH CAH TOA to set up a proportion involving the trig ratio and missing value

.solve the proportion for the missing side

.solve the proportion and use the inverse trig function (sin -1, cos-1, tan-1) to find the missing angle

.decide whether an angle is acute/obtuse

.find the three trig ratios of obtuse angles

Friday Sept 7

.practicing using trigonometry to find unknown sides and angles

in right-angled and obtuse triangles

Worksheets

 

1.1

 

p.23 #2,3,4,7,11,12

 

 

 

Mon Sept 10

.reviewing: find unknown sides and angles in right-angled or obtuse triangles

 

1.1, 1.3

 

p.8 #1-6

p.9 #8-11,13,15

.as above

.do the review problems

.review my notes for the quiz

Tue Sept 11

QUIZ – SOH CAH TOA

 

.using the sine law

 

1.4

 

p.31 #2,3,5,6,8,16

.set up and solve the Sine Law proportion statement correctly, using the correct sides and angles

.look for a matching pair of angle and opposite side--  I need this in order to use the Sine Law

Wed Sept 12

.using the cosine law

 

 

1.5

 

p.38 #2,3,4,6,9,11

.set up and solve the Cosine Law statement correctly, using any letters

.rearrange the equation correctly in order to solve for an unknown angle

Thu Sept 13

.solving trigonometry problems from careers

 

 

Worksheets

(hand in full solutions on Friday)

 

1.6

 

p.48 #7, 10,12,16

.draw a correct, labeled diagram from a word problem

.DECIDE whether it is most efficient to use SOHCAHTOA, Sine Law or Cosine Law, depending on the information given:

-         if 90o: use SOHCAHTOA

-         if matching pair of angle and opposite side given:  Sine Law

-         if none of the above: Cosine Law

Fri Sept 14

Mon Sept 17

Careers solutions due

 

Unit 1 Review

p.54 #1-4,6-7,

9,13,14,18a,20

 

Worksheets

.do the review problems

.ask for help if I don’t understand something

Tue  Sept 18

Unit 1 Review

 

 

Wedn  Sept 19

 

 

UNIT 1 TEST

 

 

.do my best on the test