Download presentation

Presentation is loading. Please wait.

1
**Scale Drawings and Scale Models**

5-7 Scale Drawings and Scale Models Course 2 Warm Up Problem of the Day Lesson Presentation

2
**Scale Drawings and Scale Models**

Course 2 5-7 Scale Drawings and Scale Models Warm Up Write each fraction in the simplest form. 4 48 1 12 9 135 1 15 2. 1. Convert the following measurements. inches = feet 16 feet = inches 222 inches = feet 27

3
**Scale Drawings and Scale Models**

Course 2 5-7 Scale Drawings and Scale Models Problem of the Day A toy model of a 200 foot dinosaur is 3 in. long. How many times as long as the model is the dinosaur? 800 times as long

4
**Scale Drawings and Scale Models**

Course 2 5-7 Scale Drawings and Scale Models Learn to understand ratios and proportions in scale drawings. Learn to use ratios and proportions with scale.

5
**Insert Lesson Title Here**

Course 2 5-7 Scale Drawings and Scale Models Insert Lesson Title Here Vocabulary scale model scale factor scale scale drawing

6
**Scale Models and Scale Drawings**

Course 2 5-7 Scale Models and Scale Drawings This HO gauge model train is a scale model of a historic train. A scale model is a proportional model of a three-dimensional object. Its dimensions are related to the dimensions of the actual object by a ratio called the scale factor. The scale factor of an HO gauge model train is 1 87 This means that each dimension of the model is of the corresponding dimension of the actual train. 1 87

7
**Scale Models and Scale Drawings**

Course 2 5-7 Scale Models and Scale Drawings A scale is the ratio between two sets of measurements. Scales can use the same units or different units. The photograph shows a scale drawing of the model train. A scale drawing is a proportional drawing of an object. Both scale drawings and scale models can be smaller or larger than the objects they represent.

8
**Additional Example 1: Finding a Scale Factor**

Course 2 5-7 Scale Drawings and Scale Models Additional Example 1: Finding a Scale Factor Identify the scale factor. Room Blueprint Length (in.) 144 18 Width (in.) 108 13.5 blueprint length room length 18 144 Write a ratio using one of the dimensions. = 1 8 = Simplify. 1 8 The scale factor is .

9
**Insert Lesson Title Here**

Course 2 5-7 Scale Drawings and Scale Models Insert Lesson Title Here Try This: Example 1 Identify the scale factor. Model Aircraft Blueprint Length (in.) 12 2 Wing span (in.) 18 3 blueprint length aircraft length 2 12 = Write a ratio using one of the dimensions. 1 6 = Simplify. The scale factor is . 1 6

10
**Additional Example 2: Using Scale Factors to Find Unknown Lengths**

Course 2 5-7 Scale Drawings and Scale Models Additional Example 2: Using Scale Factors to Find Unknown Lengths A photograph was enlarged and made into a poster. The poster is 20.5 inches by 36 inches. The scale factor is . Find the size of the photograph. 5 1 poster photo 5 1 Think: = 36 l 5 1 = Write a proportion to find the length l. 5l = 36 Find the cross products. l = 7.2 Divide.

11
**Additional Example 2 Continued**

Course 2 5-7 Scale Drawings and Scale Models Additional Example 2 Continued A photograph was enlarged and made into a poster. The poster is 20.5 inches by 36 inches. The scale factor is . Find the size of the photograph. 5 1 poster photo 5 1 Think: = 20.5 w 5 1 = Write a proportion to find the width w. 5w = 20.5 Find the cross products. w = 4.1 Divide. The photo is 7.2 in. long and 4.1 in. wide.

12
**Scale Drawings and Scale Models**

Course 2 5-7 Scale Drawings and Scale Models Try This: Example 2 Mary’s father made her a dollhouse which was modeled after the blueprint of their home. The blueprint is 24 inches by 45 inches. The scale factor is Find the size of the dollhouse. 1.5 1 dollhouse blueprint 1.5 1 Think: = l 45 = 1.5 1 Write a proportion to find the length l. Find the cross products. l = 45 · 1.5 l = 67.5 Multiply.

13
**Scale Drawings and Scale Models**

Course 2 5-7 Scale Drawings and Scale Models Try This 2 Continued Mary’s father made her a dollhouse which was modeled after the blueprint of their home. The blueprint is 24 inches by 45 inches. The scale factor is Find the size of the dollhouse. 1.5 1 dollhouse blueprint 1.5 1 Think: = w 24 1.5 1 = Write a proportion to find the width w. w = 24 · 1.5 Find the cross products. w = 36 Multiply. The dollhouse is 67.5 inches long and 36 inches wide.

14
**Additional Example 3: Measurement Application**

Course 2 5-7 Scale Drawings and Scale Models Additional Example 3: Measurement Application On a road map, the distance between Pittsburgh and Philadelphia is 7.5 inches. What is the actual distance between the cities if the map scale is 1.5 inches = 60 miles? Let d be the actual distance between the cities. 1.5 60 7.5 d = Write a proportion. 1.5 · d = 60 · 7.5 Find the cross products. 1.5d = 450 Multiply. 1.5d 1.5 = 450 1.5 Divide. d = 300 The distance between the cities is 300 miles.

15
**Insert Lesson Title Here**

Course 2 5-7 Scale Drawings and Scale Models Insert Lesson Title Here Try This: Example 3 On a road map, the distance between Dallas and Houston is 7 inches. What is the actual distance between the cities if the map scale is 1 inch = 50 kilometers? Let d be the actual distance between the cities. 1 50 7 d = Write a proportion. 1 · d = 50 · 7 Find the cross products. 1d = 350 Multiply. d = 350 The distance between the cities is 350 kilometers.

16
**Scale Drawings and Scale Models Insert Lesson Title Here**

Course 2 5-7 Scale Drawings and Scale Models Insert Lesson Title Here Lesson Quiz: Part 1 Identify the scale factor. 1. Statue of Liberty Model Height (in.) 1,824 8 1 228 2. On a scale drawing, a kitchen wall is 6 inches long. The scale factor is What is the length of the actual wall? 1 24 144 inches, or 12 feet

17
**Scale Drawings and Scale Models Insert Lesson Title Here**

Course 2 5-7 Scale Drawings and Scale Models Insert Lesson Title Here Lesson Quiz: Part 2 3. On a road map, the distance from Green Bay to Chicago is 11 cm. What is the actual distance between the cities if the map scale is 3 cm = 90 km? 330 km

Similar presentations

OK

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.

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.

© 2017 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Ppt on the art of war 2 Ppt on surface area and volume of frustum Ppt on tcp/ip protocol video tutorial Ppt on articles of association 1775 Ppt on mechanical power transmission system Ppt on word association test online Ppt on chromosomes and genes and alleles Ppt on applied operational research definition Ppt on ministry of corporate affairs notification Ppt on roman numerals