EQ: SRT.8 How do I use trig to find missing side lengths of right triangles?
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1 EQ: SRT.8 How do I use trig to find missing side lengths of right triangles? Essential Question Essential Question Essential Question Essential Question Essential Question Essential Question Essential Question Week 7, Lesson 1 1. Warm Up 2. Notes 3. Left Side Practice 4. Closure 40 Trig to find missing measurements 41 Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm u Warm Up: 1st semester throwback... always preparing you for the final exam (it's 10% of your grade!!). Given the diagram below, solve for x and y.
2 notes notes notes notes notes notes notes notes notes notes notes notes notes notes notes notes notes notes notes notes notes notes notes notes notes notes notes notes notes notes notes notes notes notes notes notes notes notes notes notes notes notes notes notes notes notes Summary: If an angle and one side of a right triangle are known, you can use trig functions to find the other side. Example Find the missing length, w. step 1: set up a trig ratio (SOH CAH TOA) step 2: Use your calculator to find the value of the trigonometry (round to the nearest hundredth). step 3: Solve (by hand or using NSolve).
3 Left Side Practice 1. Find the missing length. Round to the nearest tenth. 2. Find the missing length. Round to the nearest tenth. 3. Find the missing length. Round to the nearest tenth. 4. Designers of wheelchair ramps have to be aware of the fact that the ramp can't be too steep. Below is a sketch of a ramp that will be placed leading up to the courthouse downtown. (a) What is the total length of ramp that will be needed? (b) How much space in front of the building will the ramp need to start?
4 Closure Closure Closure Closure Closure Closure Closure Closure Closure Closure Closure Closure Closure Closure Closure Closure Closure Closure Closure Closure Closure Closure Closure Closure Closure Closure Closure Closure Closure Closure Closure Closure Closure Closure Closure Closure Right Side... Write a summary that answers the essential question. Left Side...
5 EQ: SRT.8 How do I use trig to find missing side lengths of right triangles? Essential Question Essential Question Essential Question Essential Question Essential Question Essential Question Essential Question Week 7, Lesson 2 1. Warm Up 2. Trigonometry Investigation 3. Closure Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm u Warm Up: Draw the triangle shown. Label the opposite side, the adjacent side, and the hypotenuse. 1. Which trig ratio would you use to find x? (sin, cos, or tan) 2. Using this trig ratio, set up your equation. 3. Solve for x.
6 A B C ss Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity
7 Closure Closure Closure Closure Closure Closure Closure Closure Closure Closure Closure Closure Closure Closure Closure Closure Closure Closure Closure Closure Closure Closure Closure Closure Closure Closure Closure Closure Closure Closure Closure Closure Closure Closure Closure Closure Right Side... Write a summary that answers the essential question. Left Side...
8 EQ: SRT.8 How do I use trig to find missing side lengths of right triangles? Essential Question Essential Question Essential Question Essential Question Essential Question Essential Question Essential Question Week 7, Day 3 1. Warm Up 2. Left Side practice 3. TI NSpire activity 4. Practice worksheet 5. Closure 42 Not a new page!!! Use the same page, please :) 43 Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm u Warm Up: 1. Given the diagram below, what is x? 2. What is the value of y? x y 15
9 Left Side Practice What are all of the ways to find the value of x in the following triangles? 8 35 x x x x 15 70
10 TI NSpire Activity
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13 EQ: SRT.8 How do I use trig to find missing side lengths of right triangles? Essential Question Essential Question Essential Question Essential Question Essential Question Essential Question Essential Question Week 7, Lesson 4 1. Warm Up 2. Notes 3. Poster Problems 4. Closure 44 Angle of Elevation Angle of Depression 45 Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm u Warm Up: Question 1: Question 2:
14 notes notes notes notes notes notes notes notes notes notes notes notes notes notes notes notes notes notes notes notes notes notes notes notes notes notes notes notes notes notes notes notes notes notes notes notes notes notes notes notes notes notes notes notes notes notes notes notes notes notes notes notes notes notes angle of elevation angle of depression Summary: the angle formed by looking up from the horizontal formed by looking down from the horizontal when given in a word problem, the angle of depression = the angle of elevation Ex: An airplane is preparing to land. It has an altitude of 10 km and an angle of depression of 10. How many more kilometers does it have to land?
15 Each group will get 3 problems. Poster Problems! One problem is common everyone has the same one. You will tape it onto your poster and answer it together. Two problems are unique (slightly different for each group). You will draw and label a diagram for the first problem and then use trigonometry to solve it. Show your equations and as much work as you can. You will find the five ways to solve the second problem. Cut out the picture given and attach it to your poster next to your solutions. Finally, don't forget to add in a title to your poster! This can be unique and creative... but always classroom appropriate! :) ss Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity
16 Closure Closure Closure Closure Closure Closure Closure Closure Closure Closure Closure Closure Closure Closure Closure Closure Closure Closure Closure Closure Closure Closure Closure Closure Closure Closure Closure Closure Closure Closure Closure Closure Closure Closure Closure Closure Right Side... Write a summary that answers the essential question. Left Side...
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EQ: How do I use trigonometry to find missing side lengths of right triangles?
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