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10/7/13 Mon
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Boot-Up / 6 min.
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3 6 1 2 8 16 1 2 = = B K ABC KLM 3-94
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AA A K C L ABC JKL What’s wrong with this Flow Chart?
54 ABC JKL What’s wrong with this Flow Chart? AA 36 3-95
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y II I x III IV
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4-2 4-12 4-3 4-13 4-4 4-14 4-16 Today’s To-Do List:
Find Lesson 4.1.1 Today’s To-Do List: 4-2 4-12 4-3 4-13 4-4 4-14 4-16
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4-1
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4-1
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You will need today’s Resource Pages and class work for Lesson 4.1.2.
Please store your work in a safe location at the end of this lesson.
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5 4 3 2 10 15 20 25
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It is used to represent change.
This symbol does NOT mean “Triangle” in this case. It is the Greek letter “Delta.” It is used to represent change. In this case, “change” means the change in y over the change in x – Or, in other words distance.
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= = = Change in y Vertical Change Rise Change in x Horizontal Change
Run 4-2d.
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10/8/13 Tue
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A C B 2n D n + 4 F E n G I H What is the measure of each
shown inside the ? n = __ 2n = ___ n + 4 = __ Boot-Up / 6 min. H 2n n n + 4 A C F E D I G B Bonus problems: What is the measure of each shown outside the ? A = __ D = __ G = __ B = __ E = __ H = __ C = __ F = __ I = __
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A C B 2n D n + 4 F E n G I H n = __ 2n = ___ n + 4 = __
Boot-Up / 6 min. H 2n n n + 4 A C F E D I G B A = __ D = __ G = __ B = __ E = __ H = __ C = __ F = __ I = __
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SWBAT connect specific slope ratios to their related s & use this information to find missing sides or s of right s with 11°, 22°, 18°, or 45°s. Today’s Objective: *SWBAT = Student Will Be Able To
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4-12 4-13 4-4 4-14 4-5 4-16 Today’s To-Do List:
Find Problem 4-4 Today’s To-Do List: 4-12 4-13 4-4 4-14 4-5 4-16
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+ 0 y = 2/5x 22 Where is our y-intercept?
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18 What is the approximate slope of this line?
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y = x + 4 1/1 45 1) Where is our y-intercept? 2) What is our slope?
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Remember, we can learn this the easy way, or the hard way… Now, what is this letter called?
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Find Lesson 4.1.2
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4-12
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4-13 a & b
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4-13 c & d
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4-13 e & f
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Take good care of your Tools, & they’ll take good care of you…
4-16 Take good care of your Tools, & they’ll take good care of you…
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At what angle measure am I holding the sai in my right hand?
Slope Ratios and Angles In Lesson 4.1.1, you discovered that certain slope angles produce slope triangles with special ratios. Below are the triangles you have studied so far. Note that the angles below are rounded to the nearest degree.
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Practice makes Perfect…
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4-15
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10/9/13 Wed
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y 25 1) y = __ 2) = __ 22 What are the following measures?
Boot-Up / 6 min. What are the following measures? 1) y = __ 2) = __ 25 y 22
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Today’s To-Do List: 4.1.2 4.1.3 4.1.4
Find Problem 4-14
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4-14 Find Lesson Read Intro
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1) Determine slope ratios for given s.
SWBAT: 1) Determine slope ratios for given s. 2) Solve for missing side lengths on s using slope ratios. Today’s Objective: *SWBAT = Student Will Be Able To
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1) What is the slope ratio for the given ? ____
4-23 10 7 = 1.429 2) How can we solve for x? TTW: 1) Demonstrate using Dynamic Geometry Tool 2) H/O RP 4.1.3
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Slope ratio = ____ Slope ratio = ____ Proportion __ = Proportion __ =
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Slope ratio = ____ Slope ratio = ____ Proportion __ = Proportion __ =
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Slope ratio = ____ Proportion __ Slope ratio = ____ = Proportion __ =
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A side length of a can not be 0! Neither can an !
Slope ratio = ____ Proportion __ = A side length of a can not be 0! Neither can an ! 4-24
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You can’t have 2 90 s in a ! Slope ratio = ____ Proportion __ =
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2) What happens to the slope ratio when the angle is 0°? 90°?
1) What happens to the slope ratio when the angle increases? Decreases? 2) What happens to the slope ratio when the angle is 0°? 90°? 3) When is a slope ratio more than 1? When is it less than 1? 4-26 8 min.
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10/10/13 Thu
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y 10 1) y = __ 2) = __ 68 What are the following measures?
Boot-Up / 6 min. What are the following measures? 1) y = __ 2) = __ y 10 68
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y 25 1) y = __ 2) = __ 22 What are the following measures?
Boot-Up / 6 min. What are the following measures? 1) y = __ 2) = __ 25 y 22
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2) What happens to the slope ratio when the angle is 0°? 90°?
1) What happens to the slope ratio when the angle increases? Decreases? 2) What happens to the slope ratio when the angle is 0°? 90°? 3) When is a slope ratio more than 1? When is it less than 1? 4-26 8 min.
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Find Lesson 4.1.4
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Use a scientific calculator to find a slope ratio. (Tangent ratio.)
SWBAT: Use a scientific calculator to find a slope ratio. (Tangent ratio.) Identify rise & run when the is not oriented as a slope triangle. Today’s Objective: *SWBAT = Student Will Be Able To
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What is the slope ratio? __________
4-33 Will it topple? What is the slope ratio? __________ What is the slope that corresponds to the slope ratio? _______________
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rise run 8 z 2.5 1 = = 11 68 rise run w 12 0.2 1 = = 4-34
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rise run 15 x 3 1 4-34 = = 72
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72 4-35 72 rise run 4 a .33 1 = = rise run a 4 1 .33 = =
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1) What is the slope ratio for 32? 5 8 = 0.625
4-36 5 8 = 0.625 2) What is the slope ratio for 58? 8 5 = 1.6
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Set-up your calculators
Mode Float <Enter> Degree <Enter> Clear to return to home screen
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4-36 The Tangent Ratio
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4-37
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4-36
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Find Lesson 4.1.5 Today’s To-Do List: 4-46
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Boot-Up / 6 min.
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Find Lesson 4.2.1 Today’s To-Do List: 4-53 4-56 4-54 4-57 4-55
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10/11/13 Fri
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A C B 5n D n - 14 F E n G I H What is the measure of each
shown inside the ? n = __ 5n = ___ n - 14 = __ Boot-Up / 6 min. H 5n n n - 14 A C F E D I G B Bonus problems: What is the measure of each shown outside the ? A = __ D = __ G = __ B = __ E = __ H = __ C = __ F = __ I = __
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A C B 5n D n - 14 F E n G I H n = __ 2n = ___ n + 4 = __
Boot-Up / 6 min. H 5n n n - 14 A C F E D I G B A = __ D = __ G = __ B = __ E = __ H = __ C = __ F = __ I = __
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