Algebra 1 3-8 Guided Practice: Unions and Intersections of Sets
By Matt Richardson
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Last updated almost 3 years ago
19 Questions
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10
Question 1
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
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Question 2
2.
Take Note: Define union (of two or more sets). You may use the canvas to help illustrate your definition.
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Question 3
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.
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Question 4
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.
{0, 1, 2, 3, 4}
{ 2, 4}
P = {x|x is a whole number less than 5}
Q = {y|y is an even natural number less than 5}
P ⋃ Q
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Question 5
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?
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Question 6
6.
Take Note: Define intersection (of two or more sets). You may use the canvas to help illustrate your definition.
Type "\cap" and press enter to create a intersection symbol.
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Question 8
8.
Take Note: Define disjoint sets. You may use the canvas to help illustrate your definition.
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Question 9
9.
Problem 2 Got It?
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Question 10
10.
Problem 2 Got It?
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Question 11
11.
Problem 2 Got It?
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Question 12
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}
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Question 13
13.
Problem 3 Got It?
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Question 14
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.
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Question 15
15.
Problem 4 Got It?
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Question 16
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-typecompound inequality
includes all the elements in the sets
is similar to an or-typecompound inequality
includes only the elements in both/all of the sets
\cap
\cup
Intersection of sets
Union of sets
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Question 17
17.
Problem 5 Got It?
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Question 18
18.
Problem 5 Got It?
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Question 19
19.
Take Note: Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?
