Problem Solving Using Proportions

Slides:



Advertisements
Similar presentations
Preview Warm Up California Standards Lesson Presentation.
Advertisements

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.
Scale Drawings.
6-8 Scale Drawings How did they do that????.
Chapter 5 Ratios, Rates, Proportions
EXAMPLE 3 Standardized Test Practice.
EXAMPLE 3 Standardized Test Practice. EXAMPLE 3 Standardized Test Practice SOLUTION The flagpole and the woman form sides of two right triangles with.
2.5 Solving Proportions Write and use ratios, rates, and unit rates. Write and solve proportions.
Holt CA Course 1 5-8Scale Drawings and Scale Models Warm Up Warm Up California Standards California Standards Lesson Presentation Lesson PresentationPreview.
EXAMPLE 2 Finding a Dimension on a Scale Model White House There is a scale model of the White House in Tobu World Square in Japan. The scale used for.
.. Objectives: Students will be able to:  Understand what scale drawings are.  Find the scale of a drawing  Convert map distances to actual disctances.
Chapter 8 Lesson 1 Objective: To write ratios and solve proportions.
Scale Drawings & Proportions
Chapter 7: Similarity.
Find Actual Measurements
Do Now 10/11/11 In your notebook, consider the following: In your notebook, consider the following: On a bright sunny day, how can you determine the height.
Target: Use proportions to solve problems involving similar figures.
Scale Drawings & Models
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.
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.
Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.
Holt CA Course 1 5-8Scale Drawings and Scale Models Warm Up Warm Up California Standards California Standards Lesson Presentation Lesson PresentationPreview.
2.8 – Proportions & Similar Figures “I can solve proportions using scale factors.” “I can find missing side lengths of similar figures.”
Notes Over 11.1 Proportions Vocabulary Proportion - an equation that states that two ratios are equal. Cross Product Property - the product of the extremes.
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.
Transparency 3 Click the mouse button or press the Space Bar to display the answers.
Learn to understand ratios and proportions in scale drawings
Holt McDougal Geometry 7-5 Using Proportional Relationships 7-5 Using Proportional Relationships Holt Geometry Warm Up Warm Up Lesson Presentation Lesson.
Holt Geometry 7-5 Using Proportional Relationships Warm Up Convert each measurement ft 3 in. to inches 2. 5 m 38 cm to centimeters Find the perimeter.
Similar Shapes and Scale Drawings
Splash Screen.
Scale Drawings and Scale Models
Scale Drawing and Models
7.1 OBJ: Use ratios and proportions.
Applying Properties of Similar Triangles
Splash Screen.
Scale Drawing/Scale Models
Learn to understand ratios and proportions in scale drawings
Using Unit Rates Conversions Solving Proportions Applying Similarity
7-8 Scale Models Warm Up Problem of the Day Lesson Presentation
7-8 Scale Models Warm Up Problem of the Day Lesson Presentation
Scale drawing.
Scale and use scale drawings to solve problems.
REVIEW PROBLEMS = = • 102 = • 102 = Write in Standard Form.
Section 8.1 Ratio and Proportion
Section 8.1 Ratio and Proportion
Splash Screen.
= Divide each measure by the GCF, 3. drawing length actual length
Ratio and _________.
Similar Figures & Scale Drawings
Objectives Use ratios to make indirect measurements.
Proportions Rachel Wraley.
Section 5.3A: Similar Triangles
Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.
Scale Drawings and Scale Models
7-7 Scale Drawings Warm Up Problem of the Day Lesson Presentation
Similar Figures and Scale
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
Bellringer a.) Sheryl bought 3 pieces of candy for $1.29. At that rate, what would 8 pieces of candy cost her? $3.44.
Warm Up Write each fraction in the simplest form
7-7 Scale Drawings Warm Up Problem of the Day Lesson Presentation
Insert Lesson Title Here
HW L10-3 pg 392 #8-14 L10-3 Notes: Scale Drawings and Models
REVIEW PROBLEMS = = • 102 = • 102 = Write in Standard Form.
Ch. 4-5 Similarity Transformations Ch. 4-6 Scale Models and Maps
7.2 Similar Polygons Two polygons are similar (~) if and only if their
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:

Problem Solving Using Proportions Chapter 8.3 Problem Solving Using Proportions

Objectives I will use proportions to solve real-life problems. I will use similar triangles to measure objects indirectly.

Solving real-life problems Proportions are used in architecture and manufacturing to construct scale models. You can also use proportions to find dimensions.

Finding Dimensions You have a scale model of a Boeing 767. The model was built using a 1 – to 250 scale. The wing span on the model is 7 ½ in. What is the wing span of an actual 767?

Finding Dimensions Continued Step 1: Set up a proportion Step 2: Use Cross Product Property Step 3: Solve Equation 1875 = x The wing span of a 767 is 1875 in. Convert this measurement back into feet by dividing by 12. 1875 ÷ 12 = 156 ft.

Give it a try!  The scale on a map reads 1 in = 5 mi. Find the actual length of a road that is 2.5 in. long on the map. Step 1: Set up a proportion Step 2: Cross Multiply 1x = 12.5 x = 12. 5 miles

Finding the height of a building To estimate the height of the Transco Tower in Huston, Texas, you measure its shadow to be about 55 m. The shadow of a 50 m flagpole is about 10 m. Estimate the height of the Transco Tower.

Height of a building Step 1: Set up a proportion: Transco Tower Height = H Flagpole Height = h = 50 Transco Tower Shadow = D = 55 Flagpole Shadow = d = 10 Step 2: Cross Multiply and write an equation H (10) = 50 (55) 10 H = 2750 Step 3: Solve the equation: H = 275 The Transco Tower is about 275 m high.

Give it a try!  A meteorologist reports that the ratio of snowfall in January to total snowfall during the average winter is 2 to 5. If 34 inches have fallen in January of the current year, find the predicted total snowfall for the entire winter. Proportion: