7.7 Notes Scale Drawing and Models

Slides:



Advertisements
Similar presentations
5.8 Scale Drawing and Models
Advertisements

SCALE FACTORS MODELS & MAPS In addition to level 3.0 and above and beyond what was taught in class, the student may: · Make connection with other.
Lesson 6.5 Scale Drawings Students will be able to understand ratios and proportions in scale drawings.
EXAMPLE 4 Use a scale drawing SOLUTION Maps The scale of the map at the right is 1 inch : 26 miles. Find the actual distance from Pocahontas to Algona.
Quiz 6B Review Ratio, Unit Rate, and Conversion Factors.
7-2 Scale Drawings Important Terms: Scale Drawing Scale Factor Scale Drawing: a drawing that is similar to the object it represents. Ex: Map Scale factor.
inches = 1 foot 3 feet = 1 yard 36 inches = 1 yard 5280 feet = 1 mile 1760 yards = 1 mile.
Learning Target I can use proportional reasoning to solve scale drawing problems.
Scale Drawings and Scale Models
Proportions and Scale Drawings Textbook Pages
Problem of the Day 1) Find the Length of the missing side.
Scale Drawings & Models
Over Lesson 6–5 A.A B.B C.C D.D 5-Minute Check 1 Write a proportion. Then solve. 18 donuts in 3 boxes, 30 donuts in b boxes There are approximately 2.54.
Holt CA Course 1 5-8Scale Drawings and Scale Models Warm Up Warm Up California Standards California Standards Lesson Presentation Lesson PresentationPreview.
Proportions and Scale Drawings Textbook Pages
You used scale factors to solve problems with similar polygons. Interpret scale models. Use scale factors to solve problems.
What will I learn today? Learn to understand ratios and proportions in scale drawings. Learn to use ratios and proportions with scale.
.. Objectives: Students will be able to:  Understand what scale drawings are.  Find the scale of a drawing  Convert map distances to actual disctances.
Wednesday, November 20th SparkplugAgenda Make game board Unit 3 Review Game Tyriese has blueprints for his future mansion. The scale for the blueprints.
Unit 3, Lesson 7: Scale Drawings. Scale drawings are used to represent objects that are either too large or too small for a life size drawing to be useful.
= = Proportions A proportion is an equation that states
Find Actual Measurements
Bell Work Use a ratio table or set up a proportion to solve the proportion. A man rides his bike at a constant speed for 2 hours and travels 30 miles.
Target: Use proportions to solve problems involving similar figures.
I can use proportions to solve problems involving scale.
Chapter 7.1 and 7.7 Ratios and Proportions and Scale Models and Drawings.
Splash Screen.
Holt CA Course 1 5-8Scale Drawings and Scale Models NS1.3 Use proportions to solve problems (e.g., determine the value of N if T =, find the length of.
CCSS Content Standards G.MG.3 Apply geometric methods to solve problems (e.g., designing an object or structure to satisfy physical constraints or minimize.
Scale Drawing and Models
Example 1 Use a Scale Drawing MAPS The distance between Boston and Chicago on a map is 9 inches. If the scale of the map is 1 inch: 95 miles, what is the.
Extension 3.6 Proportions and Similar Figures A.What do you know about similar triangles and congruent triangles? B.Definitions 1.Similar triangles – have.
A scale model or scale drawing is an object or drawing with lengths proportional to the object it represents. The scale of a model or drawing is the ratio.
Holt CA Course 1 5-8Scale Drawings and Scale Models Warm Up Warm Up California Standards California Standards Lesson Presentation Lesson PresentationPreview.
Splash Screen. Lesson Menu Five-Minute Check (over Lesson 7–6) CCSS Then/Now New Vocabulary Example 1:Use a Scale Drawing Example 2:Find the Scale Example.
Welcome to Math 6 Scale Factors. The Connector… OBJECTIVES: Each student will: 1.Explain the meaning of the term scale factor. 2.Understand ratios and.
Learn to understand ratios and proportions in scale drawings
Scale Drawings.
Lesson 7 – 7 Scale Drawings and Models
Bell Work Today you will need your tacking folder and your spiral for notes. Complete a self – assessment on scales 701 and 706.
Lesson Menu Main Idea and New Vocabulary Example 1:Use a Map Scale Example 2:Use a Scale Model Example 3:Find a Scale Factor Example 4:Construct a Scale.
Algebra 1 Foundations, pg 143  Students will be able to find missing lengths in similar figures and to use similar figures when measuring indirectly.
4-6 Scale Drawings and Scale Models Lesson Scale Drawings and Scale Models Warm Up Write the two requirements needed for two figures to be SIMILAR:
Scale Drawings and Scale Models
Scale Drawing and Scale Models
Scale Drawing and Models
Splash Screen.
Learn to understand ratios and proportions in scale drawings
Scale Drawings & Models
Warm-Up.
Scale Drawings Bell Ringers
Scale drawing.
Do now Homework: Lesson check 2-8 page 133
Splash Screen.
Jeopardy Customary Units Percent Problems Scale Factor Unit Rate
Scale Drawings and Scale Models
ALGEBRA I - SECTION 2-8 (Proportions and Similar Figures)
Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.
Main Idea and New Vocabulary Example 1: Use a Map Scale
7-7 Scale Drawings Warm Up Problem of the Day Lesson Presentation
Goal: The learner will use proportions to find measures of objects.
Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.
Scale Drawing and Models
Unit 4A Geometric Figures Lesson 4 Scale Drawings
Length in the Customary System.
Insert Lesson Title Here
HW L10-3 pg 392 #8-14 L10-3 Notes: Scale Drawings and Models
Do Now… AFTER all of that, at the end of your notes from yesterday
Bellwork A scale model of the Statue of Liberty is 15 inches tall. If the Statue of Liberty is 305 feet tall, find the scale of the model. A map has.
Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.
Presentation transcript:

7.7 Notes Scale Drawing and Models Today’s Objectives: 1. Students will be able to interpret scale models.   2. Students will be able to scale factors to solve problems.

Scale Model / Scale Drawing Vocabulary   Scale Model / Scale Drawing

Example 1 MAPS The scale on the map shown is 0.75 inches : 6 miles. Find the actual distance from Pineham to Menlo Fields. Use a ruler. The distance between Pineham and Menlo Fields is about 1 1 16 or 1.0625 inches. Method 1: Write and solve a proportion. Method 2: Write and solve an equation.  

Example 1 cont. Use the map above and a customary ruler to find the actual distance between each pair of cities. Measure to the nearest sixteenth of an inch. 1.Eastwich and Needham Beach 2. North Park and Menlo Fields 3. North Park and Eastwich 4. Denville and Pineham 5. Pineham and Eastwich

Example 2 a) The distance between Boston and Chicago on a map is 9 inches. If the scale of the map is 1 inch: 95 miles, what is the actual distance from Boston to Chicago? b) The distance between Cheyenne, WY, and Tulsa, OK, on a map is 8 inches. If the scale of the map is 1 inch : 90 miles, what is the actual distance from Cheyenne to Tulsa?

Example 3 SCALE MODEL A doll house that is 15 inches tall is a scale model of a real house with a height of 20 feet. What is the scale of the model? b. How many times as tall as the actual house is the model?  

Example 4 The length of a model train is 18 inches. It is a scale model of a train that is 48 feet long. Find the scale factor.  

Example 5 An artist in Portland, Oregon, makes bronze sculptures of dogs. The ratio of the height of a sculpture to the actual height of the dog is 2:3. If the height of the sculpture is 14 inches, find the height of the dog.

Example 6 The span of the Benjamin Franklin suspension bridge in Philadelphia, Pennsylvania, is 1750 feet. A model of the bridge has a span of 42 inches. What is the scale factor of the model to the span of the actual Benjamin Franklin Bridge?

Example 7 a)A miniature replica of a fighter jet is 4 inches long. The actual length of the jet is 12.8 yards. What is the scale of the model? How many times as long as the actual is the model jet? b) A miniature replica of a fire engine is 9 inches long. The actual length of the fire engine is 13.5 yards. What is the scale of the replica? How many times as long as the model is the actual fire engine?

Example 8 a)Gerrard is making a scale model of his classroom on an 11-by-17 inch sheet of paper. If the classroom is 20 feet by 32 feet, choose an appropriate scale for the drawing and determine the drawing’s dimensions. b) Alaina is an architect making a scale model of a house in a 15-by-26 inch display. If the house is 84 feet by 144 feet, what would be the dimensions of the model using a scale of 1 in. : 6 ft?