Algebra 1 3-5 Complete Lesson: Working With Sets

5 (1 rating)

by Matthew Richardson

| 29 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

1

10 pts

Solve It! Most numbers on a telephone keypad correspond to a set of letters. Suppose you're friend is using the keypad to encrypt a secret message. He sends you the string of characters 4 6 6 3 in that order. What is one word he might be trying to send?

2

2

10 pts

Problem 1 Got It?

A

B

C

D

3

3

10 pts

Problem 2 Got It?

A

B

C

D

4

10 pts

Problem 3 Got It? What are the subsets of the set P = {a, b}?

Select all that apply.

{a, b}

{} (aka ø or "the empty set")

{b}

{a}

5

10 pts

Problem 3 Got It? What are the subsets of the set S = {a, b, c}?

Select all that apply.

{} (aka ø or "the empty set")

{c}

{a, c}

{b, c}

{d}

{a, b}

{a}

{b}

{a, b, c}

6

5 pts

Problem 3 Got It? Reasoning: Let A = {x | x < -3} and B = {x | x ≤ 0}. Is A a subset of B?

No

Yes

7

10 pts

Problem 3 Got It? Reasoning: Explain your reasoning on the previous item.

8

8

10 pts

Problem 4 Got It?

A

B

C

D

9

9

10 pts

A

B

C

D

10

10

10 pts

A

B

C

D

11

11

10 pts

A

B

C

D

12

12

10 pts

A

B

C

D

13

10 pts

Vocabulary: What is the complement of a set A? Explain.

14

10 pts

Vocabulary: Categorize the subsets into the set(s) to which they belong. Some subsets may belong to multiple sets or not set at all.

Note that not all subsets for every set are included in this item.

- {}
- {3}
- {1, 3}
- {1, 3, 5}
- {1, 3, 5, 7}

- Set {1, 3, 5}
- Set {1, 3}
- Set {3}

15

10 pts

Reasoning: A nonempty set is a set that contains at least one element. Given nonempty sets A and B, suppose that A ⊆ B. Is B ⊆ A always, sometimes, or never true?

Always

Sometimes

Never

17

10 pts

Error Analysis: A student says sets A and B below are the same. What error did the student make?

A = {x| x is a whole number less than 5}
B = {1, 2, 3, 4}

18

5 pts

Review Lesson 3-4: Solve the inequality.

b < 8

b < 6

b > 6

b > 8

19

5 pts

Review Lesson 3-4: Solve the inequality.

t ≥ -5

t ≤ -5

t ≤ 5

t ≥ 5

20

5 pts

Review Lesson 3-4: Solve the inequality.

z > 2

z < 2

z < 13

z > 13

21

5 pts

Review Lesson 1-2: Evaluate the expression for the given value of the variable.

Enter only a number.

22

5 pts

Review Lesson 1-2: Evaluate the expression for the given value of the variable.

Enter only a number.

23

5 pts

Review Lesson 1-2: Evaluate the expression for the given value of the variable.

Enter only a number.

24

10 pts

Review Lesson 3-1: Graph the pair of inequalities on the same number line.

25

10 pts

Vocabulary Review: Identify the numbers in the left column that are NOT whole numbers.

- NOT whole numbers

26

10 pts

Use Your Vocabulary: Complete each set on the right with the most appropriate element from the left.

- sister
- cat
- mouth
- I

- {eyes, ears, nose, _?_}
- {mother, father, brother, _?_}
- {A, E, _?_, O, U}

27

10 pts

Use Your Vocabulary: Suppose that the universal set of coins is {penny, nickel, dime, quarter}. Let D be the set {penny, quarter}. What is the complement of set D ?

Drag and drop elements from the left to create the complement of set D on the right.

- penny
- nickel
- dime
- quarter

- Complement of D

28

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.

29

10 pts

Reflection: Math Success

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