Algebra 2 5-7 Complete Lesson: The Binomial Theorem
star
star
star
star
star
Last updated almost 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.
10 points
10
Question 1
1.
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
10 points
10
Question 2
2.
Problem 1 Got It?
10 points
10
Question 3
3.
Problem 2 Got It? What is the expansion of the expression? Use the Binomial Theorem.
10 points
10
Question 4
4.
10 points
10
Question 5
5.
10 points
10
Question 6
6.
10 points
10
Question 7
7.
10 points
10
Question 8
8.
Vocabulary: Tell whether the expression can be expanded using the Binomial Theorem.
10 points
10
Question 9
9.
Vocabulary: Tell whether the expression can be expanded using the Binomial Theorem.
10 points
10
10 points
10
Question 11
11.
Reasoning: Using Pascal's Triangle, determine the number of terms in the expansion of the expression below.
10 points
10
Question 12
12.
Reasoning: How many terms are there in the expansion of the expression below?
10 points
10
Question 13
13.
Review Lesson 5-6: Identify all of the roots of the polynomial equation.
0
-1
3
-3
10 points
10
Question 14
14.
Review Lesson 4-8: Simplify the expression.
10 points
10
Question 15
15.
Review Lesson 4-8: Simplify the expression.
10 points
10
Question 16
16.
Review Lesson 4-8: Simplify the expression.
10 points
10
Question 17
17.
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,...
10 points
10
Question 18
18.
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
10 points
10
Question 19
19.
Use Your Vocabulary: The expression is the expansion of which power of a binomial?
100 points
100
Question 20
20.
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.
