Twa kɔ nsɛm atitiriw so
Log in
Sign up for FREE
arrow_back
Laabri

Algebra 1 3-8 Guided Practice: Unions and Intersections of Sets

star
star
star
star
star
Last updated over 4 years ago
19 Nsɛmmisa
10
10
10
10
10
10
Asemmisa {{asɛmmisaAhyɛnsode}}
1.

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.

You may use the canvas as a resource but are required to enter a number in the response field.

A.CED.1
10
Asemmisa {{asɛmmisaAhyɛnsode}}
2.

Take Note: Define union (of two or more sets). You may use the canvas to help illustrate your definition.

10
Asemmisa {{asɛmmisaAhyɛnsode}}
3.

Take Note: Mathtype Pro-tip: The union symbol "⋃" can be created using the code "\cup" in most equation editors.

Try it out:

Type "\cup" and press enter to create a union symbol.

Asemmisa {{asɛmmisaAhyɛnsode}}
4.

Problem 1 Got It? Categorize each set on the left. Sets may be used more than once and each category on the right should contain one set.

  • { 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 ⋃ Q

Asemmisa {{asɛmmisaAhyɛnsode}}
5.

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
Asemmisa {{asɛmmisaAhyɛnsode}}
6.

Take Note: Define intersection (of two or more sets). You may use the canvas to help illustrate your definition.

10
Asemmisa {{asɛmmisaAhyɛnsode}}
7.

Take Note: Mathtype Pro-tip: The intersection symbol "∩" can be created using the code "\cap" in most equation editors.

Try it out:

Type "\cap" and press enter to create a intersection symbol.

10
Asemmisa {{asɛmmisaAhyɛnsode}}
8.

Take Note: Define disjoint sets. You may use the canvas to help illustrate your definition.

10
Asemmisa {{asɛmmisaAhyɛnsode}}
9.

Problem 2 Got It?

10
Asemmisa {{asɛmmisaAhyɛnsode}}
10.

Problem 2 Got It?

10
Asemmisa {{asɛmmisaAhyɛnsode}}
11.

Problem 2 Got It?

Asemmisa {{asɛmmisaAhyɛnsode}}
12.

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
Asemmisa {{asɛmmisaAhyɛnsode}}
13.

Problem 3 Got It?

Asemmisa {{asɛmmisaAhyɛnsode}}
14.

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.

The circle and text tools may be useful for this task. You may also complete your work on paper or on a whiteboard and upload a clear picture of it to the canvas.

10
Asemmisa {{asɛmmisaAhyɛnsode}}
15.

Problem 4 Got It?

Asemmisa {{asɛmmisaAhyɛnsode}}
16.

Take Note: Categorize each item on the left as representing either the intersection of sets or the union of sets appropriately.

You may need to zoom out to see all of the items. You can also place each item from the left column by selecting it (click it) then selecting (clicking on) the category for it.

  • is similar to an and-type compound inequality

  • includes only the elements in both/all of the sets

  • includes all the elements in the sets

  • \cup

  • is similar to an or-type compound inequality

  • \cap

  • Intersection of sets

  • Union of sets

10
Asemmisa {{asɛmmisaAhyɛnsode}}
17.

Problem 5 Got It?

10
Asemmisa {{asɛmmisaAhyɛnsode}}
18.

Problem 5 Got It?

10
Asemmisa {{asɛmmisaAhyɛnsode}}
19.

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