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

By Matt Richardson
Last updated almost 3 years ago
28 Questions
Note from the author:
A complete formative lesson with embedded slideshow, mini-lecture screencasts, checks for understanding, practice items, mixed review, and reflection. I create these assignments to supplement each lesson of Pearson's Common Core Edition Algebra 1, Algebra 2, and Geometry courses. See also mathquest.net and twitter.com/mathquestEDU.

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.

  • Form a proportion
  • DO NOT form a proportion

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

  • Similar figures
  • NOT 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