Solving Right, Oblique and Multiple Triangles

Comic of the Day

Warm Up

a) If the ratio of the opposite to hypotenuse side of a right triangle is 0.6, what is the angle?

b) If two sides of a right triangle are 5 cm and 7 cm, how long is the hypotenuse?

c) If one acute angle in a right triangle is 35°, how much is the other angle?

Announcements
Class tomorrow from 9:15-10:10 will be in the computer lab J208 (same room as Thursday tutorial)
Homework for unit 2 due Wed, Jan 30 at 23:59

Next unit exam (in class) Thu, Jan 31 (2 hours)

Today - Solving Right, Oblique and Multiple Triangles
Notes p. 75-81
Homework #74-86

Tomorrow - Review (in room J208)

For more information

https://www.khanacademy.org/math/trigonometry/basic-trigonometry/unit_circle_tut/v/trigonometry-word-problems--part-1
https://www.khanacademy.org/math/trigonometry/basic-trigonometry/unit_circle_tut/v/trigonometry-word-problems--part-2
http://www.kutasoftware.com/FreeWorksheets/Alg1Worksheets/Finding%20Trigonometric%20Ratios.pdf
http://www.kutasoftware.com/FreeWorksheets/Alg1Worksheets/Trigonometry%20to%20Find%20Angle%20Measures.pdf
http://www.kutasoftware.com/FreeWorksheets/Alg1Worksheets/Trigonometry%20To%20Find%20Lengths.pdf

Trigonometry - Finding Angles and Solving Triangles

Comic of the Day

Warm Up
Draw the triangle that matches the equations below, and solve using your trig table
a) 

b) 

c) 



Announcements
Optional extra review of Math 7-9 on MyMathLab (order of operations, triangles)
Next quiz (in MyMathLab) closes today at 23:59 (2 hours, 2 attempts)
Homework for unit 2 due Wed, Jan 30 at 23:59

Next unit exam (in class) Thu, Jan 31

Today - Trigonometry - Finding Angles and Solving Triangles
Notes p. 67-77
Homework #61-78

Tomorrow - Trigonometry - Oblique and Multiple Triangles
Notes p. 78-81

For more information

https://www.khanacademy.org/math/trigonometry/basic-trigonometry/basic_trig_ratios/v/example--trig-to-solve-the-sides-and-angles-of-a-right-triangle

Trigonometry - Solving Sides and Angles

Comic of the Day

Warm Up

Label the opposite, adjacent and hypotenuse sides of the triangle.

Announcements
Next quiz (in MyMathLab) opens Tue, Jan 22 at 10:00am, closes Fri, Jan 25 at 23:59 (2 hours, 2 attempts)
Homework for unit 2 due Wed, Jan 30 at 23:59

Next unit exam (in class) Thu, Jan 31

Today - Trigonometry - Finding Side Lengths and Angles
Notes p. 60-70

Tomorrow - Trigonometry - Solving Triangles
Notes p. 70-77

For more information

https://www.khanacademy.org/math/trigonometry/basic-trigonometry/basic_trig_ratios/v/basic-trigonometry
https://www.khanacademy.org/math/trigonometry/basic-trigonometry/basic_trig_ratios/e/trigonometry_0.5
https://www.khanacademy.org/math/trigonometry/basic-trigonometry/basic_trig_ratios/v/basic-trigonometry-ii
https://www.khanacademy.org/math/trigonometry/basic-trigonometry/basic_trig_ratios/e/trigonometry_1
https://www.khanacademy.org/math/trigonometry/basic-trigonometry/basic_trig_ratios/v/example--using-soh-cah-toa

Intro to Trigonometry

Comic of the Day

Warm Up
a) To determine the volume, sketch some smaller shapes that we could break this toy train into.

b) The longest side of a right-triangle is 3 ft long, and one of the other sides is 2 feet long.  How long is the third side?

Announcements
Optional extra review of Math 7-9 on MyMathLab (order of operations, triangles)
Next quiz (in MyMathLab) opens Tue, Jan 22 at 10:00am, closes Fri, Jan 25 at 23:59 (2 hours, 2 attempts)
Homework for unit 2 due Wed, Jan 30 at 23:59

Next unit exam (in class) Thu, Jan 31

Today - Introduction to Trigonometry

Q. I am using a wheelchair and need a ramp so I can access my home independently. What should the slope of the ramp be?

A. The Alberta Building Code states that the slope of a ramp should not exceed 1: 12. That is, for every inch of rise there should be at least 12 inches (or 1 foot) of run. Source

If the steps are 18 inches high, how far does the ramp have to come out from the steps, and how long is the ramp?

Notes p. 60-64

Tomorrow - Trigonometry - Finding Side Lengths and Angles
Notes p. 65-66

For more information

https://www.khanacademy.org/math/trigonometry/basic-trigonometry/basic_trig_ratios/v/basic-trigonometry
https://www.khanacademy.org/math/trigonometry/basic-trigonometry/basic_trig_ratios/e/trigonometry_0.5
https://www.khanacademy.org/math/trigonometry/basic-trigonometry/basic_trig_ratios/v/basic-trigonometry-ii
https://www.khanacademy.org/math/trigonometry/basic-trigonometry/basic_trig_ratios/e/trigonometry_1
https://www.khanacademy.org/math/trigonometry/basic-trigonometry/basic_trig_ratios/v/example--using-soh-cah-toa

Volume and Surface Area of Complex Objects

Comic of the Day

Warm Up
A square-based pyramid has a base edge length of 10m, slant height of 13m, and a height (altitude) of 12m.  Draw a diagram, then determine its volume and surface area.

Announcements
Next quiz (in MyMathLab) opens Tue, Jan 22 at 10:00am, closes Fri, Jan 25 at 23:59 (2 hours, 2 attempts)
Homework for unit 2 due Wed, Jan 30 at 23:59

Next unit exam (in class) Thu, Jan 31

Today - Surface Area and Volume of Complex Objects
Notes p. 52-57

Tomorrow - Introduction to Trigonometry
Notes p. 60-66

For more information

http://ltcconline.net/greenl/courses/CAHSEE/Geometry/complexShapes.htm

Volume and Surface Area

Comic of the Day

Warm Up
Mad Minute Monday

Announcements
Next quiz (in MyMathLab) opens Tue, Jan 22 at 10:00am, closes Thu, Jan 24 at 23:59
Homework for unit 2 due Wed, Jan 30 at 23:59

Next unit exam (in class) Thu, Jan 31

Today - Surface Area and Volume of Pyramids, Cones, Cylinders, Spheres
Notes p. 40-57

Tomorrow - Surface Area and Volume of Complex Objects
Notes p. 58-

For more information

https://www.khanacademy.org/math/geometry/basic-geometry/volume_tutorial/v/solid-geometry-volume
https://www.khanacademy.org/math/geometry/basic-geometry/volume_tutorial/v/cylinder-volume-and-surface-area
https://www.khanacademy.org/math/geometry/basic-geometry/volume_tutorial/e/solid_geometry
https://www.khanacademy.org/math/geometry/basic-geometry/volume_tutorial/v/volume-of-a-sphere

Pythagoras Theorem, Volume of Cones and Pyramids

Comic of the Day

Warm Up
A U-Haul truck measures 8ft by 10ft by 12 ft.  How many boxes can fit in it, if each box measures 2ft by 2 ft by 2ft?


Announcements
Homework & quiz for unit 1 due Fri, Jan 18 at 23:59

Next quiz (in MyMathLab) opens Tue, Jan 22 at 10:00am, closes Thu, Jan 24 at 23:59

Next unit exam (in class) Thu, Jan 31

Today - Surface Area and Volume of Pyramids and Cones
Pythagoras' TheoremSummary of measuring one-, two- and three-dimensional objects

Notes p. 40-46

Tomorrow - Surface Area and Volume of Cylinders, Spheres Complex Objects
Notes p. 47-57

For more information
A fast history of Pythagoras, and why √2 is called irrational
http://www.youtube.com/watch?v=X1E7I7_r3Cw