Lesson 7 MI/Vocab scale drawing scale model scale Solve problems involving scale drawings.

Slides:

Advertisements

Similar presentations

Scale Drawings and Scale Models

Advertisements

Splash Screen. Lesson Menu Five-Minute Check (over Lesson 6–7) Main Idea and Vocabulary Example 1:Use a Map Scale Example 2:Use a Blueprint Scale Example.

Preview Warm Up California Standards Lesson Presentation.

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.

Main Idea/Vocabulary scale drawing scale model scale Solve problems involving scale drawings.

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.

Example 1: Fred is designing a new swimming pool that will have a length of 34 feet. He plans to make a scale drawing of the pool. In his drawing, ¼ inch.

Using Cross Products Lesson 6-4. Cross Products When you have a proportion (two equal ratios), then you have equivalent cross products. Find the cross.

Holt CA Course 1 5-8Scale Drawings and Scale Models Warm Up Warm Up California Standards California Standards Lesson Presentation Lesson PresentationPreview.

What will I learn today? Learn to understand ratios and proportions in scale drawings. Learn to use ratios and proportions with scale.

Maps and Scale Drawings

Scale Drawings & Scale Models

Find the slope of the line through each pair of points.

Vocabulary ratio proportion means extremes rate unit rate scale scale model.

Over Lesson 6–8 A.A B.B C.C D.D 5-Minute Check 1 The figures are similar. Find the missing measure. Lesson 6-7 The figures are similar. Find the missing.

Use proportions to solve problems.

Lesson 4 Menu Five-Minute Check (over Lesson 10-3) Main Ideas and Vocabulary Targeted TEKS Key Concept: The Pythagorean Theorem Example 1: Find the Length.

Scale Drawings & Proportions

Transparency 6 Click the mouse button or press the Space Bar to display the answers.

Lesson 8 MI/Vocab indirect measurement Solve problems involving similar triangles.

Find Actual Measurements

Lesson 2 MI/Vocab direct variation constant of variation family of graphs parent graph Write and graph direct variation equations. Solve problems involving.

Lesson 3 Menu Five-Minute Check (over Lesson 10-2) Main Ideas and Vocabulary Targeted TEKS Example 1: Variable in Radical Example 2: Radical Equation with.

Splash Screen. Lesson Menu Five-Minute Check (over Lesson 6–4) Then/Now New Vocabulary Key Concept: Property of Proportions Example 1: Solve Proportions.

Over Lesson 6–4 A.A B.B 5-Minute Check 1 Determine whether the sets of numbers in the table are proportional. B. A deli sells 3 pounds of sliced meat for.

Lesson 1 Menu 1.The triangles shown are similar. Find x and y. 2.Find the perimeter of ΔDEF if ΔABC ~ ΔDEF, AB = 6.3, DE = 15.75, and the perimeter of.

1.A 2.B 3.C 4.D 5Min 2-3 Determine the slope of the line that passes through the points (–3, 6) and (2, –6). 11/8 Honors Algebra Warm-up A. B. C.0 D.undefined.

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.

Scale Drawings and Models

Scale Drawing and Models

Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.

RATIOS AND PROPORTIONS

Welcome to Interactive Chalkboard

Over Lesson 6–6 A.A B.B C.C D.D 5-Minute Check 1 On a floor plan for a new house, the scale is Find the actual length of the master bedroom which is 5.

Holt CA Course 1 5-8Scale Drawings and Scale Models Warm Up Warm Up California Standards California Standards Lesson Presentation Lesson PresentationPreview.

Unit Goals – 1. Solve proportions and simplify ratios. 2. Apply ratios and proportions to solve word problems. 3. Recognize, determine, and apply scale.

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.

Transparency 3 Click the mouse button or press the Space Bar to display the answers.

Learn to understand ratios and proportions in scale drawings

4-6 Scale Drawings and Scale Models Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson Quizzes Lesson.

Lesson 5 Menu 1.Find the scale factor of the two pyramids. 2.Find the ratio of the surface areas of the two pyramids. 3.Find the ratio of the volumes of.

Splash Screen. Lesson Menu Five-Minute Check (over Lesson 6–6) Then/Now New Vocabulary Key Concept: Similar Triangles Example 1: Find Measures of Similar.

Unit 6 Similarity.

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.

How to write ratios and solve proportions. Chapter 7.1GeometryStandard/Goal: 1.3, 2.1, 4.1.

Similar Shapes and Scale Drawings

Warm up!. Scale drawings are enlarged or reduced drawings that are similar to an actual object or place. – The ratio of a distance in the drawing to the.

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/Scale Models

Learn to understand ratios and proportions in scale drawings

Scale Drawings & Models

= Divide each measure by the GCF, 3. drawing length actual length

3.6 Cross Products.

Maps and Scale Drawings

Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.

Main Idea and New Vocabulary Example 1: Use a Map Scale

Scale Drawings and Scale Models

Scale Drawings and Scale Models

Goal: The learner will use proportions to find measures of objects.

Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.

Warm Up Write each fraction in the simplest form

Insert Lesson Title Here

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:

Lesson 7 MI/Vocab scale drawing scale model scale Solve problems involving scale drawings.

Lesson 7 Ex1 MAPS Use the map to find the actual distance from Bingston to Alanton. Use an inch ruler to measure the map distance. The map distance is about 1.5 inches. Use a Scale Drawing

Lesson 7 Ex1 Method 1 Write and solve a proportion. Use a Scale Drawing map actual map Find the cross products. Simplify. Method 2 Write and solve an equation.

Lesson 7 Ex1 a = 5m Use a Scale Drawing Words Variable Equation The actual distance is 5 miles per inch of map distance. Let a represent the actual distance in miles. Let m represent the map distance in inches. a = 5 ● m a = 5(1.5) or 7.5 Write the equation. Replace m with 1.5 and multiply. Answer: The actual distance from Bingston to Alanton is 7.5 miles.

A.A B.B C.C D.D Lesson 7 CYP1 A.7.4 miles B.8.5 miles C.9.2 miles D.9.8 miles MAPS Use the map to find the actual distance from Springfield to Capital City. The map distance is about 1.4 inches.

Lesson 7 Ex2 SCALE DRAWINGS A wall in a room is 15 feet long. On a scale drawing it is shown as 6 inches. What is the scale of the drawing? Write a ratio comparing the length of the drawing to the actual length of the room. Using x to represent the actual length of the room, write and solve a proportion to find the scale of the drawing. Find the Scale

Lesson 7 Ex2 Answer: So, the scale is 1 inch = 2.5 feet. Find the Scale Length of roomScale Drawing scale drawing length actual length Find the cross products. Multiply. Then divide each side by 6. Simplify.

Lesson 7 CYP2 1.A 2.B 3.C 4.D A.1 inch = 2.1 feet B.1 inch = 2.4 feet C.1 foot = 2.1 inches D.1 foot = 2.4 inches SCALE DRAWINGS The length of a garage is 24 feet. On a scale drawing the length of the garage is 10 inches. What is the scale of the drawing?

Lesson 7 Ex3 Find the Scale Factor Find the scale factor for the drawing in Example 2. Convert 2.5 feet to inches. The scale factor is or 1:30. This means that the drawing is the size of the actual room.

1.A 2.B 3.C 4.D Lesson 7 CYP3 A.1 : 22.5 B.1 : 25.6 C.1 : 28.8 D.1 : 30.5 Find the scale factor for the drawing of the garage in the previous Check Your Progress exercise.

Lesson 7 Ex4 STATUE OF LIBERTY Auguste Bartholdi created several smaller models of the Statue of Liberty before creating the 152-foot statue that stands in New York Harbor. One such model was only 21 inches tall. What is the scale of this model to the final version? Use the scale to determine the length of the statue’s index finger on the model, which is 8 feet long on the actual statue. Construct a Scale Model

Lesson 7 Ex4 Determine the scale of the model to the final version. The scale of the model to the actual statue is 1 inch  7.2 feet. Construct a Scale Model Find the cross products. Multiply. Then divide each side by 21. model height actual height Simplify.

Lesson 7 Ex4 Use this scale to find the length of the statue’s index finger on the model. Answer: The finger in the model is about 1.1 inches long. Construct a Scale Model 1 ● 8 = 7.2 ● x Find the cross products. Multiply. Then divide each side by 7.2. model height actual height Simplify.

A.A B.B C.C D.D Lesson 7 CYP4 A.about 0.67 inch B.about 0.75 inch C.about 0.84 inch D.about 0.92 inch STATUE Marnie created a model of her town’s statue of Jebediah Springfield. Her model was 6 inches high. The actual statue is 27 feet tall. What is the scale of this model to the actual statue? Use the scale to determine the length of the statue’s mustache on the model, which is 3 feet long on the actual statue.