October 24, 2017

4-11 If h represents the number of hours and t represents the temperature, then t = 77 + 3h and t = 92 − 2h; h = 3 hours and the temperature will be 86°

HW✔: 4-6 to 4-11

October 24, 2017

Warm-Up in Your Spiral/Binder: Please show work.

1. Draw and label a diagram that illustrates the concepts from LL 2-103 (INB p68).

2. As in the last part of your Ch 2 Portfolio, make a list or table summarizing which geometric relationships always guarantee known angle measure relationships; & which geometric relationships provide known angle measure relationships under certain conditions (& state those conditions).

October 24, 2017

Quiz Time: 10/24/17• Do only your own work. Show all work.• Use only your own INB, pencil, eraser,

scientific calculator; NO SHARING.• No phones out when quizzes are out• Turn quiz over when finished for me to

collect; then, preview Lesson 4.1.2.• If you want to access accommodations

for extended time/alternative location, please write where to route your quiz, and/or Room Number & date/time where & when you will complete the quiz, such as, "➔ Rebecca ➔ Jordan," or, "Finish in Rm 704, 9/15 @ 3:35."

October 24, 2017

Objective(s): You will connect specific slope ratios to certain acute angles in right triangles, & use this information to find missing side lengths & angle measures in right triangles.

Agenda:• Review HW (Teams)• Warm-Up in Spiral (Teams)• HW Quiz (Individual)• Slope Ratios & Angles Review Notes (Class)• Lesson 4.1.2 Activity (Teams in Spiral/Binder):

> You are familiar with triangles that are similar (by AA~ &/or SAS~) to these triangles. ~ triangles are proportional ...

> 4-12: Write & solve a proportion.> 4-13: Write & solve proportions for a, c & f.

Show simplifying slope ratios & connect these to the corresponding 𝛳's in d & e.

> 4-14: Consider effects of rotation & reflection on the orientation & the side lengths & angles of a figure in a. In b, write & solve a proportion. In c, answer both questions with accurate math terms.

> 4-15: Draw & label diagrams for a. Write & solve a proportion in b. In c, use the math terms from 4-14c.

> 4-16: On RP. You know ratios for 0, 11, 18, 22, 45, 68, 72 & 79 degrees. Which values are approximate; which are precise?

• Record HW (Class)

October 24, 2017

approximate

approximateapproximateapproximate

approximate

approximate

precise precise

θ Δy/Δx

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October 24, 2017

October 24, 2017

approximate

approximateapproximateapproximate

approximate

approximate

precise precise

CW: 4-12 to 4-16

θ Δy/Δx

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October 24, 2017

approximate

approximateapproximateapproximate

approximate

approximate

precise precise

CW: 4-12 to 4-16

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Write & solve a proportion.

CW: 4-12 to 4-16

October 24, 2017

Write & solve a proportion.CW: 4-12 to 4-16

October 24, 2017

Write & solve proportions.

CW: 4-12 to 4-16

October 24, 2017

CW: 4-12 to 4-16

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5

1

11°5

1

Slope = 1/5 Slope = 5/179°

CW: 4-12 to 4-16

Write & solve a proportion.

October 24, 2017

5

1

11°5

1

Slope = 1/5 Slope = 5/179°

CW: 4-12 to 4-16

October 24, 2017

Write & solve a proportion.

CW: 4-12 to 4-16

October 24, 2017

Write & solve a proportion.

CW: 4-12 to 4-16

October 24, 2017

Which values are approximate; which are precise?

CW: 4-12 to 4-16

You know ratios for 0, 11, 18, 22, 45, 68, 72 & 79 degrees.

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CPM

219

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https://www.desmos.com/calculator/lzhijczzen

In part (b), is x>8, or, rather, x<8?

Time Permitting:

October 24, 2017

Tim

e Pe

rmitt

ing:

October 24, 2017

HW:• 4-17 to 4-22• Ch 3 Quiz 10/26

• Download a clinometer app for your smart phone (e.g., Angle Meter HD Lite)

October 24, 2017

4-21  Since the slope ratio for 11° ≈ 0.2, AB ≈ 50'.   The slope ratio for 68° ≈ 2.5, so BC ≈ 4', ∴ segment AB is actually longer.

4-22  a. 12 b. Yes c. 6/12 = 1/2; 8/12 = 2/3

Homework Review:

4-17 to 4-22