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

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Poslední aktualizace over 4 years ago
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Poznámka od autora:
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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.

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Solve It! Two olympic athletes can run the races in the times shown. Who is the faster runner?

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

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Vocabulary: What is the ratio of blue to red flowers?

Select all that apply.

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Problem 1 Got It?

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Problem 2 Got It?

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

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Problem 3 Got It?

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Problem 3 Got It?

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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.

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Vocabulary: Is this a unit rate?

20 mi every 3 h

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Vocabulary: Is this a unit rate?

2 dollars per day

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

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

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

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Review Lesson 2-3: Solve the equation. Check your answer.

Enter only a number.

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Review Lesson 2-3: Solve the equation. Check your answer.

Enter only a number.

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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

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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

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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

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

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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

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

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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.

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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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Reflect: Math Success