Scale Drawings & Models

Slides:



Advertisements
Similar presentations
What is a scale drawing?
Advertisements

5.8 Scale Drawing and Models
Scale Drawings Lesson
I Can Solve Problems Using Scale Drawings!
Transparency 4 Click the mouse button or press the Space Bar to display the answers.
Chapter 6 Lesson 3 Scale Drawings & Models pgs
Lesson 6.5 Scale Drawings Students will be able to understand ratios and proportions in scale drawings.
Chapter 5 Section 2 Scale Drawings and Models
Scale Drawings.
Proportions and Scale Drawings Textbook Pages
Problem of the Day 1) Find the Length of the missing side.
Similar Shapes and Scale Drawings
Scale Drawings & Scale Factor
6-8 Scale Drawings How did they do that????.
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.
Scale Drawings & Models
Maps and Scale Drawings
Find the slope of the line through each pair of points.
Splash Screen.
Scale Drawings & Proportions
Similar Shapes and Scale Drawings
Scale Drawings & Scale Factor
4-2(B) Scale Drawing.
7-4 Scale Drawings p  Indicator – M4 Solve problems involving scale factors.
1/29/13. Find the slope of the line through each pair of points. 1. (1, 5) and (3, 9) 2. (–6, 4) and (6, –2) Solve each equation x + 5 x + 6 x =
Find Actual Measurements
I can use proportions to solve problems involving scale.
Scale Drawings & Models
Splash Screen.
Scale Drawings and Models
Scale Drawing and Models
Bell Work: The area of the hexagonal base of a pyramid is 18√3. the height of the pyramid is 12. what is the volume?
5-7 Scale Drawings and Scale Models MG1.2 Read drawings and models made to scale. California Standards.
SCALE MODEL PROBLEMS Monday 3/10. Sarah made a scale model of her pool that spans 12 inches. The actual pool spans 18 feet. ◦What is the scale of the.
On a floor plan of her room, the length of Hailey’s bed is 3 inches. If the scale of her floor plan is inch = 1 foot, what is the actual length of her.
Section 6.6 Scale Drawings
Scale Drawings. Scale – The ratio that compares the measurements of the real object and its model. EX: 1 in = 6 ft Scale factor – written as a ratio without.
6-8 Scale Drawings. Scale Drawing/Model  Used to represent objects too large or too small to be drawn or built in actual size  All measurements are.
Scale Drawings.
PreAlgebra Farris * I can use scale drawings and construct scale drawings.
Holt Geometry 7-1 Ratio and Proportion Warm Up Find the slope of the line through each pair of points. 1. (1, 5) and (3, 9) 2. (–6, 4) and (6, –2) Solve.
Similar Shapes and Scale Drawings
Chapter 6 Lesson 3 Scale Drawings & Models pgs
Chapter 6 Lesson 3 Scale Drawings & Models pgs
Scale Drawings NOTE TO TEACHERS: This slide includes the title for the notes, and the instructions regarding note-taking style. On subsequent pages,
Scale Drawings TeacherTwins©2014.
Scale Drawing/Scale Models
Chapter 6 Lesson 3 Scale Drawings & Models
Splash Screen.
11/16 Scale Drawings and Scale Factor
Scale drawing.
Scale Drawings & Scale Factor by Luther Allen, M.Ed
A scale drawing is a drawing in which all parts of the drawing are reduced or enlarged by the same scale factor. A scale is a ratio that compares the measurements.
Scale Drawings & Scale Factor by Luther Allen, M.Ed
Scale Factor TeacherTwins©2014.
Chapter 6 Lesson 3 Scale Drawings & Models pgs
Scale Drawings & Scale Factor
Maps and Scale Drawings
Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.
I Can Solve Problems Using Scale Drawings!
Scale Drawings Cornell Notes with Summary
Scale Drawings Sec 5. 2-B pg
Scale Drawings & Scale Factor
Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.
Scale Drawings & Models
Scale Drawings Cornell Notes with Summary
Warm Up Write each fraction in the simplest form
HW L10-3 pg 392 #8-14 L10-3 Notes: Scale Drawings and Models
Section 2.1 Working with Scale.
Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.
Presentation transcript:

Scale Drawings & Models What you will learn: Use scale drawings Construct scale drawings

Vocabulary Scale drawing/scale model (276): is used to represent an object that is too large or too small to be drawn or built at actual sizes Scale (276): gives the relationship between the measurements on the drawing or model and the measurements of the real object Scale factor (277): the ratio of a length on a scale drawing or model to the corresponding length on the real object

Scale Example: 1 inch = 3 feet (One inch represents an actual distance of 3 feet) 1:24 (1 unit represents an actual distance of 24 units)

Scale Factor Example: Suppose a scale model has a scale of 2 inches = 16 inches. The scale factor is 2 or 1 16 8 The lengths and widths of objects of a scale drawing or model are proportional to the lengths and widths of the actual object.

Example 1: Find Actual Measurements A set of landscape plans shows a flower bed that is 6.5 inches wide. The scale on the plans is 1 inch = 4 feet. What is the width of the actual flower bed? Let x represent the actual width of the flower bed. Write and solve a proportion. Plan width----> 1 inch = 6.5 inches<---plan width Actual width--> 4 feet x feet <-----actual width 1x = 46.5 cross products x= 26 The actual flower bed width is 26 feet.

From the last example, what is the scale factor? To find the scale factor, write the ratio of 1 inch to 4 feet in simplest form. 1inch = 1 inch Convert 4 feet 4 feet 48 inches to inches The scale factor is 1 . That is , each 48 measurement on the plan is 1 the actual measurement. 48

Example 2: Determine the Scale In a scale model of a roller coaster, the highest hill has a height of 6 inches. If the actual height of the hill is 210 feet, what is the scale of the model? Model height---> 6 inches = 1 inch <--model height Actual height--->210 feet x feet <--actual height 6x = 210 6x = 210 x= 35 6 6 So, the scale is 1” = 35 feet

Example 3: Construct a Scale Drawing A garden is 8 feet wide by 16 feet long. Make a scale drawing of the garden that has a scale of 1 in. = 2ft. 4 Step 1: Find the measure of the garden’s length on the drawing. Let x represent the length. drawing length--> .25in = x in <--drawing length actual length--> 2 ft 16ft <---actual length .2516 =2x 4 = 2x 2 = x On the drawing, the length is 2 inches

drawing width--> .25 in = w inches <--drawing width Step 2: Find the measure of the garden’s width on the drawing. Let w represent the width. drawing width--> .25 in = w inches <--drawing width actual width ---> 2 feet 8 feet <---actual width .258 = 2w 2 = 2w 1 = w On the drawing the width is 1 inch.

8 ft Step 3: Make the scale drawing. Use 1/4” grid paper. Since 2” = 8 squares and 1 inch = 4 squares, draw a rectangle that is 8 squares by 4 squares. <------------------------ 16 ft---------------------> 8 ft

Your Turn! On a set of architectural drawings for an office building, the scale is 1/2” = 3 feet. Find the actual length of each room. Lobby: 2 inches Cafeteria: 8.25 inches .5” = 2” 3ft x ft .5x = 6 The actual length x = 12 of the lobby is 12 ft .5” = 8,25” 3ft x ft The actual length of the .5x = 24.75 cafeteria is 49.5 feet x = 49.5

Your Turn, Again! In an illustration of a honey bee, the length of the bee is 4.8 cm. The actual size of the honeybee is 1.2 cm. What is the scale of the drawing? 4.8 cm = 1cm 1.2 cm x cm 4.8x = 1.2 x = .25 The scale of the drawing is 1 cm = .25cm