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

Last updated about 4 years ago

32 questions

Note from the author:

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Library

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

Last updated about 4 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.

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

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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 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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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 2-3: 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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Vocabulary Review: Write a fraction with a numerator of 12 and a denominator of 13.

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100

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

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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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N.Q.1

N.Q.2

10

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

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N.Q.2

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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 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

Yes

No

Vocabulary: Is this a unit rate?

2 dollars per day

Yes

No

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?

5 cm

3 cm

15 cm

10 cm

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.

0

1

2

3

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

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

Athlete A

Athlete B

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

3 : 4

3 to 4

3/4

4/3

Problem 1 Got It?

A

B

Problem 2 Got It?

A

B

C

D

Problem 3 Got It?

A

B

C

D

Problem 3 Got It?

A

B

C

D

A

B

A

B

C

D

A

B

A

B

C

D

Vocabulary: Is this a unit rate? 

20 mi every 3 h

Yes

No

 Vocabulary:  Is this a unit rate?

2 dollars per day

Yes

No

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

5 cm

3 cm

15 cm

10 cm

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: 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.

0

1

2

3

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.

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

Athlete A

Athlete B

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

3 : 4

3 to 4

3/4

4/3

Problem 1 Got It?

A

B

Problem 2 Got It?

A

B

C

D

Problem 3 Got It? 

A

B

C

D

Problem 3 Got It?

A

B

C

D

B

A

B

C

D

B

A

B

C

D

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

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

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

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

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.

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

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

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

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

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

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

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.

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.

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.

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.

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.

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

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

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

Problem 1 Got It?

Problem 2 Got It?

Problem 3 Got It?

Problem 3 Got It?

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.

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.

Vocabulary: Is this a unit rate?

20 mi every 3 h

Vocabulary: Is this a unit rate?

2 dollars per day

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.

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.

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.

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.

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