Algebra 2 5-7 Complete Lesson: The Binomial Theorem

Last updated over 4 years ago

21 questions

Note from the author:

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Library

Algebra 2 5-7 Complete Lesson: The Binomial Theorem

Last updated over 4 years ago

21 questions

Note from the author:

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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Problem 2 Got It? What is the expansion of the expression? Use the Binomial Theorem.

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Review Lesson 4-8: Simplify the expression.

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Review Lesson 4-8: Simplify the expression.

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Review Lesson 4-8: Simplify the expression.

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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.

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Reflection: Math Success

A.APR.5

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.

Solve It! How many unique letter combinations are possible using each of the following?
The same letters in different orders are one combination.

a. 2 of 5 letters b. 3 of 5 letters c. 2 of 6 letters d. 4 of 6 letters e. 3 of 6 letters

HINT: Use the diagram below, a previous response, or both.

Match each scenario on the left with its number of possible letter combinations on the right. Some categories may remain empty.

a. 2 of 5 letters
b. 3 of 5 letters
c. 2 of 6 letters
d. 4 of 6 letters
e. 3 of 6 letters

5 letter combinations are possible
10 letter combinations are possible
15 letter combinations are possible
20 letter combinations are possible

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Problem 2 Got It? What is the expansion of the expression? Use the Binomial Theorem.

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Vocabulary: Tell whether the expression can be expanded using the Binomial Theorem.

No, the expression can not be expanded using the Binomial Theorem.

Yes, the expression can be expanded using the Binomial Theorem.

Vocabulary: Tell whether the expression can be expanded using the Binomial Theorem.

No, the expression can not be expanded using the Binomial Theorem.

Yes, the expression can be expanded using the Binomial Theorem.

Reasoning: Using Pascal's Triangle, determine the number of terms in the expansion of the expression below.

12

13

10

11

Reasoning: How many terms are there in the expansion of the expression below?

n

2n

n - 2

n + 1

Review Lesson 5-6: Identify all of the roots of the polynomial equation.

0
-1
3
-3

Review Lesson 4-8: Simplify the expression.

Vocabulary Review: Identify the next number in each pattern.

1
40
13
50
70
9
11
2

1, 2, 1, 2, 1,...
1, 3, 5, 7, 9,...
100, 90, 80, 70, 60,...

Use Your Vocabulary: Identify whether each sentence shows the correct use of expand.

The writer expanded the short story into a novel.
Heat expands most metals.
The balloon expanded as all of its air was let out.
The expanded form of (3x² - 4)² is

Correct use of expand
Not a correct use of expand

Use Your Vocabulary: The expression is the expansion of which power of a binomial?

(25 - x)²

(5 - x)²

(5 + x)²

5² - x²

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! How many unique letter combinations are possible using each of the following?
The same letters in different orders are one combination.

a. 2 of 5 letters       b. 3 of 5 letters        c. 2 of 6 letters        d. 4 of 6 letters        e. 3 of 6 letters

HINT: Use the diagram below, a previous response, or both.

Match each scenario on the left with its number of possible letter combinations on the right. Some categories may remain empty.

a. 2 of 5 letters

b. 3 of 5 letters

c. 2 of 6 letters

d. 4 of 6 letters

e. 3 of 6 letters

5 letter combinations are possible

10 letter combinations are possible

15 letter combinations are possible

20 letter combinations are possible

Problem 1 Got It?

A

B

C

D

A

B

C

D

A

B

C

D

A

B

C

D

A

B

C

D

Vocabulary: Tell whether the expression can be expanded using the Binomial Theorem.

No, the expression can not be expanded using the Binomial Theorem.

Yes, the expression can be expanded using the Binomial Theorem.

Vocabulary: Tell whether the expression can be expanded using the Binomial Theorem.

No, the expression can not be expanded using the Binomial Theorem.

Yes, the expression can be expanded using the Binomial Theorem.

Reasoning: Using Pascal's Triangle, determine the number of terms in the expansion of the expression below.

12

13

10

11

Reasoning: How many terms are there in the expansion of the expression below?

n

2n

n - 2

n + 1

Review Lesson 5-6: Identify all of the roots of the polynomial equation.

0

-1

3

-3

Vocabulary Review: Identify the next number in each pattern.

1, 2, 1, 2, 1,...

1, 3, 5, 7, 9,...

100, 90, 80, 70, 60,...

Use Your Vocabulary: Identify whether each sentence shows the correct use of expand.

The writer expanded the short story into a novel.

Heat expands most metals.

The balloon expanded as all of its air was let out.

The expanded form of (3x² - 4)² is 

Correct use of expand

Not a correct use of expand

Use Your Vocabulary: The expression is the expansion of which power of a binomial? 

(25 - x)²

(5 - x)²

(5 + x)²

5² - x²

Problem 1 Got It?

A

B

C

D

A

B

C

D

A

B

C

D

A

B

C

D

A

B

C

D

Algebra 2 5-7 Complete Lesson: The Binomial Theorem

Algebra 2 5-7 Complete Lesson: The Binomial Theorem

Problem 2 Got It? What is the expansion of the expression? Use the Binomial Theorem.

Review Lesson 4-8: Simplify the expression.

Review Lesson 4-8: Simplify the expression.

Review Lesson 4-8: Simplify the expression.

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 2 Got It? What is the expansion of the expression? Use the Binomial Theorem.

Vocabulary: Tell whether the expression can be expanded using the Binomial Theorem.

Vocabulary: Tell whether the expression can be expanded using the Binomial Theorem.

Reasoning: Using Pascal's Triangle, determine the number of terms in the expansion of the expression below.

Reasoning: How many terms are there in the expansion of the expression below?

Review Lesson 5-6: Identify all of the roots of the polynomial equation.

Review Lesson 4-8: Simplify the expression.

Review Lesson 4-8: Simplify the expression.

Review Lesson 4-8: Simplify the expression.

Vocabulary Review: Identify the next number in each pattern.

Use Your Vocabulary: Identify whether each sentence shows the correct use of expand.

Use Your Vocabulary: The expression is the expansion of which power of a binomial?

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 1 Got It?

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.

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.