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4-41 They are congruent. Possible response: Reflect ΔADS across a vertical line, then translate it.

4-42 24 possible ways: ABCD, ABDC, ACBD, ACDB, ADBC, ADCB, BACD, BADC, BCAD, BCDA, BDAC, BDCA, CABD, CADB, CBAD, CBDA, CDAB, CDBA, DABC, DACB, DBAC, DBCA, DCAB, DCBA

4-43 Her dad’s eyes were ≈ 69.126 inches high.

4-44

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Quiz Time: 10/30/17• 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 4.1.5.• 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."

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Objective(s): You will use technology & tangent ratios to solve for heights of actual objects.

Agenda:• HW Review (Teams)• HW Quiz (Individual)• Quiz Review (Class)• INB Review (Class)-Incl. examples [eg, 4-37]• 4.1.5 Activity (Teams, on 4.1.5 RP):

> 4-45 on RP; Consider:– What are you given / trying to find?– Can you draw a picture of the situation?– What shape did Lindy create?– How is this like problems 3-106 & 4-43?

> 4-46a Observe Demo & Record work, rewriting as, "12 on clock in Room 704"

> 4-46b Use app or borrow real clinometer:– Measure eye height (bring ruler by door).– Closer, round sidewalk "crack" by flagpole is

330 cm from pole.– Second "crack" by is 630 cm from pole.– Be considerate of classes in session.– Take quick measurements & then return

promptly & quietly to Room 704.– Finish calculations on RP today.

• Record HW (Class):HW: 4-47 to 4-52;Use MN Independent Events (CPM p232) to add information to Probability Notes on INB p77

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Quiz Review: Please ...• Phones, pens, pencils away until after

I've collected all returned quizzes & review has ended;

• See Rubric on back of Course Outline;• Let me collect all quizzes from tables;• Ask me to put any on top for which you

want to follow-up during Office Hours.• *Special Opportunity: Test Corrections

This Wednesday (11/1) at Office Hours

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CPM

228

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For the triangle below:1. Label its legs ∆y and ∆x based on the given slope angle.2. Write an equation (like tan 14° = x/5).3. Solve for x.4. Use your scientific calculator to find the tangent ratio for the angle.

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4-37. b. For the triangle below:1. Label its legs ∆y and ∆x based on the given slope angle.2. Write an equation (like tan 14° = x/5).3. Solve for x.4. Use your scientific calculator to find the tangent ratio for the angle.

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For the triangle below:1. Label its legs ∆y and ∆x based on the given slope angle.2. Write an equation (like tan 14° = x/5).3. Solve for x.4. Use your scientific calculator to find the tangent ratio for the angle.

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4-37.c.For the triangle below:1. Label its legs ∆y and ∆x based on the given slope angle.2. Write an equation (like tan 14° = x/5).3. Solve for x.4. Use your scientific calculator to find the tangent ratio for the angle.

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Objective: Apply tangent ratios.

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"The Tangent Ratio"4-38 How do you set up a tangent ratio equation? How do you know

which side of the triangle is ∆y? How can you use your scientific calculator to find a slope ratio?

Write a Learning Log entry about what you learned today. Be sure to include examples and/or refer to your work from today.

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Record work for 4-46a, substituting "12 on clock in Room 704" for "I on Exit Sign in 700 Hall."

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Record work for 4-46a, substituting "12 on clock in Room 704" for "I on Exit Sign in 700 Hall."

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Record work for 4-46a, substituting "12 on clock in Room 704" for "I on Exit Sign in 700 Hall."

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Dimensions

You Need:• Measure

height to your eyes.

• Floor tiles are 30 cm on a side.

• First round sidewalk "crack" by flagpole is 330 cm from pole.

• Second round sidewalk "crack" by flagpole is 630 cm from pole.

Use an app or borrow a real one.

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• Measure height to your eyes (bring ruler to door frame).

• First round sidewalk "crack" by flagpole is 330 cm from pole.

• Second round sidewalk "crack" by flagpole is 630 cm from pole.

• Be considerate of other classes in session.• Take quick measurements & then return

promptly & quietly to Room 704.• Finish calculations on handout before next

class.

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Objective: Apply tangent ratios.

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HW: 4-47 to 4-52;Use MN Independent Events (CPM p232) to add information to Probability Notes on INB p77

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HW✓: 4-47 to 4-52

4-47 a. either 3 or 1/3

b. either 9 or 1/9

4-48a. 3x + 3° + x + 7° = 90°,

x = 20°b. 9x + 4° = 3x + 14°,

x = 10/6 ≈ 1.67°4-49 (a) and (d) are most

likely independent

4-50 a.

b. 60tan22o + 5.2 ≈ 29.4 feet4-51a. G; an = 1/2 • 1/2

n–1 = 1/2n

b. A; an = –7.5 – 2(n–1) = 5.5 – 2n

4-52 102 + (x + 3)2 = 262; x = 21

60 ft5.2 ft22°