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Algebra 1 2-6 Complete Lesson: Ratios, Rates, and Conversions

By Matt Richardson
Last updated almost 3 years ago
32 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! Two olympic athletes can run the races in the times shown. Who is the faster runner?

Solve It! How do you know? Explain your reasoning.

Vocabulary: What is the ratio of blue to red flowers?
Select all that apply.

Problem 1 Got It?

Problem 2 Got It?

Vocabulary: Define unit analysis in your own words. You may include examples, but remember that examples are NOT definitions.

Problem 3 Got It?

Problem 3 Got It?

Problem 4 Got It? An athlete ran a sprint of 100 ft in 3.1 s. At what speed was the athlete running in miles per hour? Round to the nearest mile per hour. Enter only a number.

Vocabulary: Is this a unit rate?

20 mi every 3 h

Vocabulary: Is this a unit rate?

2 dollars per day

Reasoning: Does multiplying by a conversion factor change the amount of what is being measured? How do you know?

Reasoning: If you convert pounds to ounces, will the number of ounces be greater or less than the number of pounds? Explain.

Review Lesson 2-5: What is the height of a triangle with an area of 30 cm² and a base length of 12 cm?

Review Lesson 2-3: Solve the equation. Check your answer.
Enter only a number.

Review Lesson 2-3: Solve the equation. Check your answer.
Enter only a number.

Review Lesson 1-4: Consider the expression.
Identify the following:
1. The step(s) necessary to simplify the expression.
2. The property or properties that justify the simplification.
3. The simplest form of the expression.

  • Division property of equality
  • 20x
  • Divide out x from the numerator and denominator
  • 27
  • Divide out y from the numerator and denominator
  • Step(s) necessary to simplify the expression
  • Property or properties that justify the simplification
  • Simplest form of the expression

Review Lesson 1-4: Consider the expression.
Identify the following:
1. The step(s) necessary to simplify the expression.
2. The property or properties that justify the simplification.
3. The simplest form of the expression.

  • Division property of equality
  • 20x
  • Divide out x from the numerator and denominator
  • 27
  • Divide out y from the numerator and denominator
  • Step(s) necessary to simplify the expression
  • Property or properties that justify the simplification
  • Simplest form of the expression

Review Lesson 1-4: Consider the expression.
Identify the following:
1. The step(s) necessary to simplify the expression.
2. The property or properties that justify the simplification.
3. The simplest form of the expression.

  • Division property of equality
  • 20x
  • Divide out x from the numerator and denominator
  • 27
  • Divide out y from the numerator and denominator
  • Step(s) necessary to simplify the expression
  • Property or properties that justify the simplification
  • Simplest form of the expression

Vocabulary Review: Write a fraction with a numerator of 12 and a denominator of 13.

Vocabulary Review: Classify the fractions on the left based on whether or not they are in simplest form.

  • In simplest form
  • NOT in simplest form

Vocabulary Review: What is the greatest common divisor of the numerator and denominator of a fraction that is in simplest form.

Use Your Vocaulary: Match each rate on the left with the situation it describes on the right.

  • 20 mph
  • 20 bagels / 3 hours
  • A bakery makes 20 bagels every 3 hours.
  • Chandler bicycles 20 miles each hour.

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.

Reflect: Math Success