Warm Up Monday, January 9th Find the missing value in each pair of similar shapes 1. 2. x 5 10 3 Please complete the warm up and write down your homework x 2 6 4
Corny Joke of the Day Why did the teacher have to wear sunglasses to school? Her students were too BRIGHT
What? Checkpoint #1 Similar figures Indirect measurement When? TODAYYYYYYYY
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
Weekly Review Due Friday! Remember to show your work on a separate sheet of paper
A and B are similar. Find y B. What Did Tiggerdo wrong? A. 14 7 4 x
Flashcards Indirect measurement
What is It? Indirect Measurement uses similar figures and proportions to find height of objects you cannot measure directly
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
Attention! Pezzino Travel Company needs your help! They need some expert map readers to find distances between famous landmarks
Buzz word #1 The map shown is a scale drawing. A scale drawingis 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 #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.
Setting it up Set up a proportion: ratio equals ratio Ratio #1 is the scale factor they give you (first 2 numbers) Ratio #2 place third number according to measurement Measurements match in numerators Measurements math in denominators
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?
Problem #1 Let’s Try Together!
20 in. 4 in. 4x 20 _____ ____ ___ ___ 1 mi 4 4 x mi 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? Write a proportion using the scale. Let x be the actual number of miles between the two towns. = 1 • 20= 4 •x The cross products are equal. 20= 4x x is multiplied by 4. = Divide both sides by 4 to undo multiplication. 5 = x 5 miles
Problem #2 Let’s Try Together!
18 in. 3x 3 in. 18 ___ ___ ____ _____ 1 mi 3 x mi 3 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? Write a proportion using the scale. Let x be the actual number of miles between the two cities. = 1 • 18= 3 •x The cross products are equal. 18= 3x x is multiplied by 3. = Divide both sides by 3 to undo multiplication. 6 = x 6 miles
Problem #3 You Try!
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?
Problem #4 Astronomy
18.3 in. 1 in. _________ ___________ x million km 30 million km 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? Write a proportion. Let x be the actual distance from Mars to Jupiter. = The cross products are equal. 30 • 18.3= 1 •x 549 = x The actual distance from Mars to Jupiter is about 549 million km.
Problem #5 Rafting
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 Solve for x
Can you Answer the EQ? Double time 2 minutes to answer it 2 minutes to share with elbow partner 2 minute discuss with class