Algebra 1 2-8 Complete Lesson: Proportions and Similar Figures

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Solve It! A sailboat and an accurate model of the boat are shown. How many feet long is the model sailboat? Enter only a number.

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Explain your reasoning.

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Vocabulary: Define similar figures your own words.

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Problem 1 Got It?

A

B

C

D

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Problem 2 Got It? Create a diagram on the canvas to represent the scenario. Remember that you can insert pictures of objects -- like a man, a flagpole, a shadow, etc. -- instead of drawing them all. Be sure to label all important information.

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Problem 2 Got It? A man who is 6 ft tall is standing next to a flagpole. The shadow of the man is 3.5 ft and the shadow of the flagpole is 17.5 ft. What is the height of the flagpole?

A

B

C

D

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Problem 3 Got It? The distance from Jacksonville to Gainsville on the map is about 0.6 in. What is the actual distance from Jacksonville to Gainsville?

About 66 miles

About 52 miles

About 34 miles

About 27 miles

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Problem 4 Got It? A scale model of a building is 6 in. tall. The scale of the model is 1 in. : 50 ft. How tall is the building?

8.33 ft

300 ft

100 ft

3600 ft

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A

B

C

D

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A

B

C

D

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A

B

C

D

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not enough information to tell

not equal

equal

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Reasoning: The scale of a map is 1 in. : 100 mi. Is the actual distance between two towns 100 times the map distance between the two towns?

not enough information to tell

yes

no

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Review Lesson 2-7: Solve the proportion.
Enter only a number. Use decimal form, if necessary.

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Review Lesson 2-7: Solve the proportion.
Enter only a number. Use decimal form, if necessary.

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Review Lesson 2-7: Solve the proportion.
Enter only a number. Use decimal form, if necessary.

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Review Lesson 1-2: Simplify the expression.
Enter only a number.

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Review Lesson 1-2: Simplify the expression.
Enter only a number.

-1.5

-4

0.4

4

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Review Lesson 1-2: Simplify the expression.
Enter only a number. Use a 0 as a place-holder in the ones place, if necessary. Example: -0.57

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Vocabulary Review: Categorize each pair of ratios.

Form a proportion
DO NOT form a proportion

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Use Your Vocabulary: Categorize each pair of figures based on whether or not they are similar figures..

Similar figures
NOT similar figures

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Notes: Take a clear picture or screenshot of your Cornell notes for this lesson. Upload it to the canvas. Zoom and pan as needed.
For a refresher on the Cornell note-taking system, click here.

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Reflection: Math Success

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Algebra 1 2-8 Complete Lesson: Proportions and Similar Figures

Solve It! A sailboat and an accurate model of the boat are shown. How many feet long is the model sailboat? Enter only a number.

Explain your reasoning.

Vocabulary: Define similar figures your own words.

Problem 1 Got It?

Problem 2 Got It? Create a diagram on the canvas to represent the scenario. Remember that you can insert pictures of objects -- like a man, a flagpole, a shadow, etc. -- instead of drawing them all. Be sure to label all important information.

Problem 2 Got It? A man who is 6 ft tall is standing next to a flagpole. The shadow of the man is 3.5 ft and the shadow of the flagpole is 17.5 ft. What is the height of the flagpole?

Problem 3 Got It? The distance from Jacksonville to Gainsville on the map is about 0.6 in. What is the actual distance from Jacksonville to Gainsville?

Problem 4 Got It? A scale model of a building is 6 in. tall. The scale of the model is 1 in. : 50 ft. How tall is the building?

Reasoning: The scale of a map is 1 in. : 100 mi. Is the actual distance between two towns 100 times the map distance between the two towns?

Review Lesson 2-7: Solve the proportion.Enter only a number. Use decimal form, if necessary.

Review Lesson 2-7: Solve the proportion.Enter only a number. Use decimal form, if necessary.

Review Lesson 2-7: Solve the proportion.Enter only a number. Use decimal form, if necessary.

Review Lesson 1-2: Simplify the expression.Enter only a number.

Review Lesson 1-2: Simplify the expression.Enter only a number.

Review Lesson 1-2: Simplify the expression.Enter only a number. Use a 0 as a place-holder in the ones place, if necessary. Example: -0.57

Vocabulary Review: Categorize each pair of ratios.

Use Your Vocabulary: Categorize each pair of figures based on whether or not they are similar figures..

Notes: Take a clear picture or screenshot of your Cornell notes for this lesson. Upload it to the canvas. Zoom and pan as needed.For a refresher on the Cornell note-taking system, click here.

Reflection: Math Success

Solve It! A sailboat and an accurate model of the boat are shown. How many feet long is the model sailboat? Enter only a number.

Explain your reasoning.

Vocabulary: Define similar figures your own words.

Problem 1 Got It?

Problem 2 Got It? Create a diagram on the canvas to represent the scenario. Remember that you can insert pictures of objects -- like a man, a flagpole, a shadow, etc. -- instead of drawing them all. Be sure to label all important information.

Problem 2 Got It? A man who is 6 ft tall is standing next to a flagpole. The shadow of the man is 3.5 ft and the shadow of the flagpole is 17.5 ft. What is the height of the flagpole?

Problem 3 Got It? The distance from Jacksonville to Gainsville on the map is about 0.6 in. What is the actual distance from Jacksonville to Gainsville?

Problem 4 Got It? A scale model of a building is 6 in. tall. The scale of the model is 1 in. : 50 ft. How tall is the building?

Reasoning: The scale of a map is 1 in. : 100 mi. Is the actual distance between two towns 100 times the map distance between the two towns?

Review Lesson 2-7: Solve the proportion.Enter only a number. Use decimal form, if necessary.

Review Lesson 2-7: Solve the proportion.Enter only a number. Use decimal form, if necessary.

Review Lesson 2-7: Solve the proportion.Enter only a number. Use decimal form, if necessary.

Review Lesson 1-2: Simplify the expression.Enter only a number.

Review Lesson 1-2: Simplify the expression.Enter only a number.

Review Lesson 1-2: Simplify the expression.Enter only a number. Use a 0 as a place-holder in the ones place, if necessary. Example: -0.57

Vocabulary Review: Categorize each pair of ratios.

Use Your Vocabulary: Categorize each pair of figures based on whether or not they are similar figures..

Notes: Take a clear picture or screenshot of your Cornell notes for this lesson. Upload it to the canvas. Zoom and pan as needed.For a refresher on the Cornell note-taking system, click here.

Reflection: Math Success

Review Lesson 2-7: Solve the proportion.
Enter only a number. Use decimal form, if necessary.

Review Lesson 2-7: Solve the proportion.
Enter only a number. Use decimal form, if necessary.

Review Lesson 2-7: Solve the proportion.
Enter only a number. Use decimal form, if necessary.

Review Lesson 1-2: Simplify the expression.
Enter only a number.

Review Lesson 1-2: Simplify the expression.
Enter only a number.

Review Lesson 1-2: Simplify the expression.
Enter only a number. Use a 0 as a place-holder in the ones place, if necessary. Example: -0.57

Notes: Take a clear picture or screenshot of your Cornell notes for this lesson. Upload it to the canvas. Zoom and pan as needed.
For a refresher on the Cornell note-taking system, click here.

Review Lesson 2-7: Solve the proportion.
Enter only a number. Use decimal form, if necessary.

Review Lesson 2-7: Solve the proportion.
Enter only a number. Use decimal form, if necessary.

Review Lesson 2-7: Solve the proportion.
Enter only a number. Use decimal form, if necessary.

Review Lesson 1-2: Simplify the expression.
Enter only a number.

Review Lesson 1-2: Simplify the expression.
Enter only a number.

Review Lesson 1-2: Simplify the expression.
Enter only a number. Use a 0 as a place-holder in the ones place, if necessary. Example: -0.57

Notes: Take a clear picture or screenshot of your Cornell notes for this lesson. Upload it to the canvas. Zoom and pan as needed.
For a refresher on the Cornell note-taking system, click here.