
Unit 7: Pre-Assessment & 7.1 Lesson Plan
Presentation
•
Mathematics
•
9th Grade
•
Hard
+1
Standards-aligned
Chelsey Hall
Used 15+ times
FREE Resource
13 Slides • 14 Questions
1
MT: Solving Applied Problems & Modeling in Geometry
2
Multiple Choice
LT: Use inverse operations to rationalize fractions.
Rationalize the following fraction: 54
54
54 5
52 5
55
3
Multiple Choice
LT: Use inverse operations to rationalize fractions.
Rationalize the following fraction: 32
36
323
332
35
4
Multiple Choice
LT: Use Pythagorean Theorem to complete triangles.
Use the Pythagorean Theorem to find the missing side of this triangle, AC:
5.3 cm
4.7 cm
9.3 cm
8.1 cm
5
Multiple Choice
LT: Use Pythagorean Theorem to complete triangles.
Use the Pythagorean Theorem to find the missing side of this triangle, DE:
4.6 m
2.5 m
5 m
6.3 m
6
Multiple Choice
LT: Recognize and define specific vocabulary, such as sine, cosine, tangent.
Observe the given triangle. Which ratio represents the tangent of ∠C ?
73.4
7.57
3.47
3.47.5
7.53.4
7
Multiple Choice
LT: Recognize and define specific vocabulary, such as sine, cosine, tangent.
Observe the given triangle. Which ratio represents the sine of ∠C ?
73.4
7.57
3.47
3.47.5
7.53.4
8
Multiple Choice
LT: Recognize and define specific vocabulary, such as sine, cosine, tangent.
Observe the given triangle. Which ratio represents the cosine of ∠C ?
73.4
7.57
3.47
3.47.5
7.53.4
9
Take notes as you go!
10
Rationalize means to eliminate irrational numbers when they show up in the denominator part of a fraction.
When fractions have square roots in the denominator, that is a HUGE problem. They will look something like this:
11
STEPS to RATIONALIZING:
Step 1: Identify the denominator.
Step 2: Multiply the fraction by
Step 3: Multiply straight across the fractions.
Step 4: Simply the numerator & denominator.
12
Step 2: Multiply the fraction by
13
Step 4: Simplify the numerator & denominator (this part is EXTREMELY important so read each part CAREFULLY)
14
15
Multiple Choice
Rationalize 312 .
34 3
3 3
33 3
4 3
16
Multiple Choice
Rationalize 57 .
57 5
7 5
55
75 7
17
Multiple Choice
Rationalize 22 5 .
52 10
10
24 5
5
18
Multiple Choice
Rationalize 33 3 .
3 3
9
3
6 3
19
The Pythagorean Theorem can be used to calculate the missing sides of RIGHT TRIANGLES.
Pythagorean Theorem Formula & Model:
FORMULA
MODEL
20
Breakdown: Each right triangle has 2 legs and the longest side is the hypotenuse.
21
22
23
24
25
Multiple Choice
Find the length of JL.
16.6
25
12.5
19.3
26
Multiple Choice
Find the length of AC.
22
38
26
13
27
Multiple Choice
Find the length of ST.
5.4
7.6
8.5
6.8
MT: Solving Applied Problems & Modeling in Geometry
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