Algebra 1 3-5 Complete Lesson: Working With Sets

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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.

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Algebra 1 3-5 Complete Lesson: Working With Sets

Algebra 1 3-5 Complete Lesson: Working With Sets

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?

Problem 1 Got It?

Problem 2 Got It?

Problem 3 Got It? What are the subsets of the set P = {a, b}?Select all that apply.

Problem 3 Got It? What are the subsets of the set S = {a, b, c}?Select all that apply.

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

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

Problem 4 Got It?

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

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.

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?

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}

Review Lesson 3-4: Solve the inequality.

Review Lesson 3-4: Solve the inequality.

Review Lesson 3-4: Solve the inequality.

Review Lesson 1-2: Evaluate the expression for the given value of the variable.Enter only a number.

Review Lesson 1-2: Evaluate the expression for the given value of the variable.Enter only a number.

Review Lesson 1-2: Evaluate the expression for the given value of the variable.Enter only a number.

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

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

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

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.

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! 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?

Problem 1 Got It?

Problem 2 Got It?

Problem 3 Got It? What are the subsets of the set P = {a, b}?Select all that apply.

Problem 3 Got It? What are the subsets of the set S = {a, b, c}?Select all that apply.

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

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

Problem 4 Got It?

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

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.

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?

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}

Review Lesson 3-4: Solve the inequality.

Review Lesson 3-4: Solve the inequality.

Review Lesson 3-4: Solve the inequality.

Review Lesson 1-2: Evaluate the expression for the given value of the variable.Enter only a number.

Review Lesson 1-2: Evaluate the expression for the given value of the variable.Enter only a number.

Review Lesson 1-2: Evaluate the expression for the given value of the variable.Enter only a number.

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

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

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

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.

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

Problem 3 Got It? What are the subsets of the set P = {a, b}?
Select all that apply.

Problem 3 Got It? What are the subsets of the set S = {a, b, c}?
Select all that apply.

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.

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}

Review Lesson 1-2: Evaluate the expression for the given value of the variable.
Enter only a number.

Review Lesson 1-2: Evaluate the expression for the given value of the variable.
Enter only a number.

Review Lesson 1-2: Evaluate the expression for the given value of the variable.
Enter only a number.

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.

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.

Problem 3 Got It? What are the subsets of the set P = {a, b}?
Select all that apply.

Problem 3 Got It? What are the subsets of the set S = {a, b, c}?
Select all that apply.

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.

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}

Review Lesson 1-2: Evaluate the expression for the given value of the variable.
Enter only a number.

Review Lesson 1-2: Evaluate the expression for the given value of the variable.
Enter only a number.

Review Lesson 1-2: Evaluate the expression for the given value of the variable.
Enter only a number.

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.

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.