1.7 Word Problems

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Transcript 1.7 Word Problems

Warm Up
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2.
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4.
The three undefined terms in
Geometry are ______, _______, and
_____.
Draw a pair of complimentary angles.
Draw a pair of supplementary angles.
Simplify the following expression
2

(16)  2  3   5  2  
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Warm Up Answers
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2.
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Point, Line, Plane
Answers will vary
Answers will vary
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1.7 Word Problems
Year 2 - Geometry
Example 1

In Mrs. Hill’s perfect world, all the streets
running east – west are numbered and those
streets running north – south are lettered.
The even numbered streets are one way east
and the odd numbered streets are one way
west. All the vowel lettered avenues are one
way north and the rest are two way. Can a
car traveling south on H Street make a legal
left turn onto 8th Street?
Example 1 Solution

Draw a diagram.
H
6th
7th
YES
8th
9th
Example 2

Mrs. Carrasco is at the bottom of a 40
foot cliff. Each hour she climbs up 10
feet, but then slides back down 5 feet
during her 30 minute break. How many
hours will it take Mrs. Carrasco to get to
the top of the mountain? She always
climbs for one hour, then rests for 30
minutes.
Example 2 Solution

Draw a diagram.
40
35
40 ft.
30
25
15
10
5
20 15
10
20
30
25
Each up arrow is an
hour, each down
arrow is 30 minutes.
10 Hours!
Example 3

Mrs. Chesley is building a fence in her
living room to keep all her kids penned
up. The area she wants to enclose
measures 12 feet by 8 feet. She will
set the posts 2 feet apart. How many
posts will she need?
Example 3 Solution

Draw a diagram.
20 total posts!
12 feet
8 feet
Example 4

In the middle of a 400 meter race
between faculty members, a photo is
taken of the five runners. It shows Mr.
Rothery 40 meters behind Mr. Rattigan.
Mr. Rattigan is 30 meters ahead of Mr.
Harder, who is 10 meters behind Mr.
Lowery. Mr. Lowery is 100 meters
behind Mr. Castillo. Who is ahead?
Example 4 Solution

Draw a diagram.
G
40
H
10
L
Mr. Castillo is ahead.
R
30
L
100
C
Summary

Explain why drawing a diagram helps to
solve word problems.
Homework
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Page 76 #2-6, 10