Algebra 1 3-8 Complete Lesson: Unions and Intersections of Sets

10

Solve It! Fifty students were polled about their after-school activities. All said that they participate in one or more of three clubs: the Robotics Club (RC), the Student Council (SC), and the Theater Club (TC). How many students participate in the theater club only?
Enter only a number.

A.CED.1

10

Problem 1 Got It? Match each set. Sets may be used more than once.

{ 2, 4}
{0, 1, 2, 3, 4}

P = {x|x is a whole number less than 5}
Q = {y|y is an even natural number less than 5}
P υ Q

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Problem 1 Got It? Reasoning: What is true about the union of two distinct sets if one set is a subset of the other?

10

Problem 2 Got It?

A

B

C

D

10

Problem 2 Got It?

A

B

C

D

10

Problem 2 Got It?

A

B

C

D

10

Problem 3 Got It? Draw a Venn diagram to represent the union and intersection of the following sets.
A = {x|x is one of the first five letters in the English alphabet}
B = {x|x is a vowel}
C = {x|x is a letter in the word VEGETABLE}

10

Problem 3 Got It?

A

B

C

D

10

Problem 4 Got It? Draw a Venn diagram to represent the scenario.
Of 30 students in student government, 20 are honor students and 9 are officers and honor students. All of the students are officers, honor students, or both.

10

Problem 4 Got It?

A

B

C

D

10

Problem 5 Got It?

A

B

C

D

10

Problem 5 Got It?

A

B

C

D

10

A

B

C

D

10

A

B

C

D

10

A

B

C

D

10

A

B

C

D

10

A

B

C

D

A.CED.1

10

Vocabulary: Suppose A and B are nonempty sets. Which contains more elements: A ⋃ B or A ∩ B ? Explain your reasoning.

10

5

True or False: If x is an element of set A and x is not an element of set B, then x is an element of A ∪ B.

True

False

5

True or False: If x is an element of set A and x is an element of set B, then x is an element of A ∩ B.

True

False

10

Complete the Venn diagram using sets A and B. A = {1, 3, 5, 7, 9} B = {2, 3, 4, 5}

10

Review Lesson 3-7: Solve the equation.

x = ±2

x = ±4

x = ±3

x = ±5

10

Review Lesson 3-7: Solve the equation.

n = ±4

n = ±5

n = ±2

n = ±3

10

Review Lesson 3-7: Solve the equation.

f = 4, 5

f = 5, 7

f = 3, -5

f = 2, 8

10

Review Lesson 3-7: Solve the inequality.

-4 < g < 4

g ≤ -4 or g ≥ 4

-4 ≤ g ≤ 4

g < -4 or g > 4

10

Review Lesson 3-7: Solve the inequality.

d < -5 or d > 5

-5 < d < 5

-5 ≤ d ≤ 5

d ≤ -5 or d ≥ 5

10

Review Lesson 1-9: Categorize each ordered pair. Order ordered pairs may be used more than once.

(-1, 8)
(8, 11)
(1, 4)
(0, 0)

Solution of x + 3 = y
Solution of 2x - 5 = y
Solution of 0.5x + 7 = y
Not a solution of any of these equations

20

Review Graphing Ordered Pairs: Graph each point on the same coordinate grid.
Be sure to include relevant graph detail: label axes, indicate units on both axes, and use arrows to represent end behavior, and label points, as appropriate.

10

Vocabulary Review: Populate each set with its elements. Not all elements will be used.

-1
0
1
2
3
4
5
6
7
8
9

whole numbers less than 4
even numbers between 1 and 9
odd numbers between 3 and 7, inclusive

5

Use Your Vocabulary: Is the set {apple, banana, cheese, milk, pear, yogurt} the union or intersection of the sets D and F below?
D = {cheese, milk, yogurt}
F = {apple, banana, pear}
M = {bread, cheese, egg}

intersection

union

5

Use Your Vocabulary: Is the set {cheese} the union or intersection of the sets D and M below?

D = {cheese, milk, yogurt}
F = {apple, banana, pear}
M = {bread, cheese, egg}

union

intersection

5

Use Your Vocabulary: Is the empty set the union or intersection of the sets F and M below?

D = {cheese, milk, yogurt}
F = {apple, banana, pear}
M = {bread, cheese, egg}

union

intersection

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.

10

Algebra 1 3-8 Complete Lesson: Unions and Intersections of Sets

Solve It! Fifty students were polled about their after-school activities. All said that they participate in one or more of three clubs: the Robotics Club (RC), the Student Council (SC), and the Theater Club (TC). How many students participate in the theater club only? Enter only a number.

Problem 1 Got It? Match each set. Sets may be used more than once.

Problem 1 Got It? Reasoning: What is true about the union of two distinct sets if one set is a subset of the other?

Problem 2 Got It?

Problem 2 Got It?

Problem 2 Got It?

Problem 3 Got It? Draw a Venn diagram to represent the union and intersection of the following sets.A = {x|x is one of the first five letters in the English alphabet}B = {x|x is a vowel}C = {x|x is a letter in the word VEGETABLE}

Problem 3 Got It?

Problem 4 Got It? Draw a Venn diagram to represent the scenario.Of 30 students in student government, 20 are honor students and 9 are officers and honor students. All of the students are officers, honor students, or both.

Problem 4 Got It?

Problem 5 Got It?

Problem 5 Got It?

Vocabulary: Suppose A and B are nonempty sets. Which contains more elements: A ⋃ B or A ∩ B ? Explain your reasoning.

True or False: If x is an element of set A and x is not an element of set B, then x is an element of A ∪ B.

True or False: If x is an element of set A and x is an element of set B, then x is an element of A ∩ B.

Complete the Venn diagram using sets A and B. A = {1, 3, 5, 7, 9} B = {2, 3, 4, 5}

Review Lesson 3-7: Solve the equation.

Review Lesson 3-7: Solve the equation.

Review Lesson 3-7: Solve the equation.

Review Lesson 3-7: Solve the inequality.

Review Lesson 3-7: Solve the inequality.

Review Lesson 1-9: Categorize each ordered pair. Order ordered pairs may be used more than once.

Review Graphing Ordered Pairs: Graph each point on the same coordinate grid.Be sure to include relevant graph detail: label axes, indicate units on both axes, and use arrows to represent end behavior, and label points, as appropriate.

Vocabulary Review: Populate each set with its elements. Not all elements will be used.

Use Your Vocabulary: Is the set {apple, banana, cheese, milk, pear, yogurt} the union or intersection of the sets D and F below?D = {cheese, milk, yogurt}F = {apple, banana, pear}M = {bread, cheese, egg}

Use Your Vocabulary: Is the set {cheese} the union or intersection of the sets D and M below? D = {cheese, milk, yogurt}F = {apple, banana, pear}M = {bread, cheese, egg}

Use Your Vocabulary: Is the empty set the union or intersection of the sets F and M below? D = {cheese, milk, yogurt}F = {apple, banana, pear}M = {bread, cheese, egg}

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.

Reflection: Math Success

Solve It! Fifty students were polled about their after-school activities. All said that they participate in one or more of three clubs: the Robotics Club (RC), the Student Council (SC), and the Theater Club (TC). How many students participate in the theater club only? Enter only a number.

Problem 1 Got It? Match each set. Sets may be used more than once.

Problem 1 Got It? Reasoning: What is true about the union of two distinct sets if one set is a subset of the other?

Problem 2 Got It?

Problem 2 Got It?

Problem 2 Got It?

Problem 3 Got It? Draw a Venn diagram to represent the union and intersection of the following sets.A = {x|x is one of the first five letters in the English alphabet}B = {x|x is a vowel}C = {x|x is a letter in the word VEGETABLE}

Problem 3 Got It?

Problem 4 Got It? Draw a Venn diagram to represent the scenario.Of 30 students in student government, 20 are honor students and 9 are officers and honor students. All of the students are officers, honor students, or both.

Problem 4 Got It?

Problem 5 Got It?

Problem 5 Got It?

Vocabulary: Suppose A and B are nonempty sets. Which contains more elements: A ⋃ B or A ∩ B ? Explain your reasoning.

True or False: If x is an element of set A and x is not an element of set B, then x is an element of A ∪ B.

True or False: If x is an element of set A and x is an element of set B, then x is an element of A ∩ B.

Complete the Venn diagram using sets A and B. A = {1, 3, 5, 7, 9} B = {2, 3, 4, 5}

Review Lesson 3-7: Solve the equation.

Review Lesson 3-7: Solve the equation.

Review Lesson 3-7: Solve the equation.

Review Lesson 3-7: Solve the inequality.

Review Lesson 3-7: Solve the inequality.

Review Lesson 1-9: Categorize each ordered pair. Order ordered pairs may be used more than once.

Review Graphing Ordered Pairs: Graph each point on the same coordinate grid.Be sure to include relevant graph detail: label axes, indicate units on both axes, and use arrows to represent end behavior, and label points, as appropriate.

Vocabulary Review: Populate each set with its elements. Not all elements will be used.

Use Your Vocabulary: Is the set {apple, banana, cheese, milk, pear, yogurt} the union or intersection of the sets D and F below?D = {cheese, milk, yogurt}F = {apple, banana, pear}M = {bread, cheese, egg}

Use Your Vocabulary: Is the set {cheese} the union or intersection of the sets D and M below? D = {cheese, milk, yogurt}F = {apple, banana, pear}M = {bread, cheese, egg}

Use Your Vocabulary: Is the empty set the union or intersection of the sets F and M below? D = {cheese, milk, yogurt}F = {apple, banana, pear}M = {bread, cheese, egg}

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.

Reflection: Math Success

Solve It! Fifty students were polled about their after-school activities. All said that they participate in one or more of three clubs: the Robotics Club (RC), the Student Council (SC), and the Theater Club (TC). How many students participate in the theater club only?
Enter only a number.

Problem 3 Got It? Draw a Venn diagram to represent the union and intersection of the following sets.
A = {x|x is one of the first five letters in the English alphabet}
B = {x|x is a vowel}
C = {x|x is a letter in the word VEGETABLE}

Problem 4 Got It? Draw a Venn diagram to represent the scenario.
Of 30 students in student government, 20 are honor students and 9 are officers and honor students. All of the students are officers, honor students, or both.

Review Graphing Ordered Pairs: Graph each point on the same coordinate grid.
Be sure to include relevant graph detail: label axes, indicate units on both axes, and use arrows to represent end behavior, and label points, as appropriate.

Use Your Vocabulary: Is the set {apple, banana, cheese, milk, pear, yogurt} the union or intersection of the sets D and F below?
D = {cheese, milk, yogurt}
F = {apple, banana, pear}
M = {bread, cheese, egg}

Use Your Vocabulary: Is the set {cheese} the union or intersection of the sets D and M below?

D = {cheese, milk, yogurt}
F = {apple, banana, pear}
M = {bread, cheese, egg}

Use Your Vocabulary: Is the empty set the union or intersection of the sets F and M below?

D = {cheese, milk, yogurt}
F = {apple, banana, pear}
M = {bread, cheese, egg}

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.

Solve It! Fifty students were polled about their after-school activities. All said that they participate in one or more of three clubs: the Robotics Club (RC), the Student Council (SC), and the Theater Club (TC). How many students participate in the theater club only?
Enter only a number.

Problem 3 Got It? Draw a Venn diagram to represent the union and intersection of the following sets.
A = {x|x is one of the first five letters in the English alphabet}
B = {x|x is a vowel}
C = {x|x is a letter in the word VEGETABLE}

Problem 4 Got It? Draw a Venn diagram to represent the scenario.
Of 30 students in student government, 20 are honor students and 9 are officers and honor students. All of the students are officers, honor students, or both.

Review Graphing Ordered Pairs: Graph each point on the same coordinate grid.
Be sure to include relevant graph detail: label axes, indicate units on both axes, and use arrows to represent end behavior, and label points, as appropriate.

Use Your Vocabulary: Is the set {apple, banana, cheese, milk, pear, yogurt} the union or intersection of the sets D and F below?
D = {cheese, milk, yogurt}
F = {apple, banana, pear}
M = {bread, cheese, egg}

Use Your Vocabulary: Is the set {cheese} the union or intersection of the sets D and M below?

D = {cheese, milk, yogurt}
F = {apple, banana, pear}
M = {bread, cheese, egg}

Use Your Vocabulary: Is the empty set the union or intersection of the sets F and M below?

D = {cheese, milk, yogurt}
F = {apple, banana, pear}
M = {bread, cheese, egg}

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.