Algebra 1 3-5 Guided Practice: Working With Sets

by Matthew Richardson

| 22 Questions1

1

10

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

3

4

5

2

10

Take Note: Define set as it pertains to this lesson.

3

10

Take Note: Define subset as it pertains to this lesson.

4

5

Take Note: Provide an example of a set containing 5 elements that is written in roster form.

5

5

Take Note: Provide an example of a set that is written using set-builder notation.

6

6

10

Problem 1 Got It?

A

B

C

D

7

7

10

Problem 2 Got It?

A

B

C

D

8

9

10

11

12

13

8

10

Take Note: Define subset.

9

5

Take Note: Provide an example of two sets written in roster form. The second set should be a subset of the first.

10

5

Take Note: Every set is a subset of itself.

True

False

11

10

Take Note: Define the empty set.

12

5

Take Note: Write the empty set in roster form.

13

10

Take Note: Mathtype pro-tip!

In many equation editors, the code \subseteq will generate the subset symbol ⊆. You can try it out here.

Enter the subset symbol.

14

10

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

Select all that apply.

{a, b}

{a}

{} (aka ø or the empty set)

{b}

15

10

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

Select all that apply.

{b}

{b, c}

{c}

{a}

{a, c}

{d}

{} (aka ø or the empty set)

{a, b}

{a, b, c}

16

5

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

Yes

No

17

10

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

18

19

20

18

10

Take Note: Define universal set (aka universe).

19

10

Take Note: Define complement of a set.

20

10

Take Note: Let the universal set U and a set A be defined as below.

U = {1,2,3,4,5}

A = {1,3,5}

Write A' in roster form.

21

21

10

Problem 4 Got It?

A

B

C

D

22

22

10

Take Note: Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?

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