Monday, January 9 th
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Transcript of Monday, January 9 th
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Monday, January 9th • Please complete the warm up and write
down your homework
Warm UpFind the missing value in each
pair of similar shapes1. 2.5
2
x
6
3x
10
4
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Corny Joke of the Day
Why did the teacher have to wear sunglasses to
school?
Her students were too BRIGHT
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What? Checkpoint #1 Similar figures
Indirect measurement
When? TODAYYYYYYYY
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Week Schedule Monday: Scale Drawings NOTES
HW Scale Drawing Worksheet/Weekly Review
Tuesday: Class PROJECT HW STUDY GUIDE
Wednesday: Revie HW STUDY
Thursday: Test HW NONE
Friday: WEEKLY REVIEW DUE, Test Corrections, Translations NOTES
HW NONE
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Weekly Review
Due Friday! Remember to show your work on a
separate sheet of paper
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What Did Tigger do wrong?
A.B.
A and B are similar. Find y
7 14
4 x7 14
456 7
8
x
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FlashcardsIndirect measurement
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What is It?Indirect Measurement uses
similar figures and proportions to find height of objects you cannot
measure directly
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Checkpoint Please put your name on it
Make sure to READ each question carefully
Be sure to show your work
Put in front bin when finished
Complete Weekly Review
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Attention! Pezzino Travel Company
needs your help!
They need some expert map readers to find distances
between famous landmarks
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First you must learn how to
interpret scale drawings!
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I Spy
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The map shown is a scale drawing.
A scale drawing is a drawing of a real object that is proportionally smaller or larger than the real object.
In other words, measurements on a scale drawing are in proportion to the measurements of the real object.
BUZZ WORD #1
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BUZZ WORD #2
A scale is a ratio between two sets of measurements.
In the map above, the scale is 1 in:100 mi. This ratio means that 1 inch on the map represents 100 miles.
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SETTING IT UP
Set up a proportion: ratio equals ratio
Scale
factor
Ratio #1 is the scale factor they give you
(first 2 numbers)
Scale scale
factor factor
Ratio #2 place third number according to measurement
Measurements match in numerators
Measurements math in denominators
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Examples
in in
ft ft
ft ft
miles miles
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Is it set up right?Why or why not?
1. The scale on the map is 3 cm: 10 m. On the map the distance between two cities is 40 cm. What is the actual distance?
2. The scale on the map is 10 in: 50. On the map the distance between two schools is 30 in. What is the actual distance?
3 10
40 x
10 30
50 x
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Problem #1 Let’s Try Together!
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The scale on a map is 4 in: 1 mi. On the map, the distance between two towns is 20 in. What is the actual
distance?
20 in. x mi
_____ 4 in. 1 mi
____ =
1 • 20 = 4 • x
20 = 4x
20 4
___ 4x 4
___ =
5 = x
Write a proportion using the scale. Let x be the actual number of miles between the two towns.
The cross products are equal.
x is multiplied by 4.
Divide both sides by 4 to undo multiplication.
5 miles
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Problem #2 Let’s Try Together!
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18 in. x mi
_____ 3 in. 1 mi
____ =
1 • 18 = 3 • x
18 = 3x
18 3
___ 3x 3
___ =
6 = x
Write a proportion using the scale. Let x be the actual number of miles between the two cities.
The cross products are equal.
x is multiplied by 3.
Divide both sides by 3 to undo multiplication.
6 miles
The scale on a map is 3 in: 1 mi. On the map, the distance between two cities is 18 in. What is the
actual distance?
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Problem #3 You Try!
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The scale on a map is 2 in: 50 mi. On the map, the distance
between two lakes is 12 in. What is the actual distance?
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Problem #4 Astronomy
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If a drawing of the planets was made using the scale 1 in:30 million km, the distance from Mars to Jupiter on the drawing would be about 18.3
in. What is the actual distance between Mars to Jupiter?
18.3 in. x million km
_________ 1 in. 30 million km
___________ =
30 • 18.3 = 1 • x
549 = x
Write a proportion. Let x be the actual distance from Mars to Jupiter.
The cross products are equal.
The actual distance from Mars to Jupiter is about 549 million km.
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Problem #5 Rafting
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Our class decides to go white-water rafting on the river. The map we have of the river has a scale of 3 inches equals 10 miles. On the map, the
distance between their start point and end point is 18 inches. What is the actual distance in
miles?
Write a proportion. Let x be the actual distance between start to end
3 18
10
in in
miles x
Solve for x180 3
60
x
x
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Can you Answer the
EQ?Double time 2 minutes to answer it
2 minutes to share with elbow partner
2 minute discuss with class