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

5 (1 rating)

by Matthew Richardson

| 32 QuestionsNote 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.

1

2

1

10 pts

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

Athlete A

Athlete B

2

10 pts

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

3

3

10 pts

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

Select all that apply.

4/3

3 : 4

3/4

3 to 4

5

5

10 pts

Problem 1 Got It?

A

B

7

7

10 pts

Problem 2 Got It?

A

B

C

D

8

10 pts

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

9

9

10 pts

Problem 3 Got It?

A

B

C

D

10

10

10 pts

Problem 3 Got It?

A

B

C

D

11

10 pts

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.

12

13

13

10 pts

A

B

14

14

10 pts

A

B

C

D

15

15

10 pts

A

B

16

16

10 pts

A

B

C

D

17

10 pts

Vocabulary: Is this a unit rate?

20 mi every 3 h

Yes

No

18

10 pts

Vocabulary: Is this a unit rate?

2 dollars per day

Yes

No

19

10 pts

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

20

10 pts

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

21

10 pts

Review Lesson 2-5: What is the height of a triangle with an area of 30 cmÂ² and a base length of 12 cm?

3 cm

5 cm

10 cm

15 cm

22

10 pts

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

Enter only a number.

23

10 pts

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

Enter only a number.

24

10 pts

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

25

10 pts

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

26

10 pts

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

27

10 pts

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

28

10 pts

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

29

10 pts

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

30

10 pts

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.

31

100 pts

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.

32

10 pts

Reflect: Math Success

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