Algebra 2 1-2 Complete Lesson: Properties of Real Numbers
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4.5 (1 rating)
by Matthew Richardson
| 24 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.
The outlined content above was added from outside of Formative.
1
1
10 pts
Solve It! How can you describe a set that includes five of the emoticons shown, but not the sixth?
2
2
10 pts
Problem 1 Got It?
A
B
C
D
3
10 pts
Problem 2 Got It? Graph and label each of the numbers on the number line provided on the canvas. Use a color other than black.

4
10 pts
Problem 3 Got It? Fill in the blank to compare the two numbers below.

=
>
<
5
10 pts
Problem 3 Got It? Reasoning: Let a, b, and c be real numbers such that a < b and b < c. How do a and c compare?
a > c
a = c
a < c
There is not enough information to compare a and c.
6
10 pts
Problem 4 Got It? Which property does the equation illustrate?

Distributive property
Commutative property
Associative property
7
10 pts
Problem 4 Got It? Use properties of real numbers to show that the equation is true. Show and justify each step in your process on the canvas provided. Hint: In this item, you will simplify the left side of the equation.
You may use the typing or drawing tools or both as you work.
8
10 pts
Write an example from daily life that uses whole numbers.
9
10 pts
Write an example from daily life that uses integers.
10
10 pts
Write an example from daily life that uses rational numbers.
11
10 pts
Identify the property that is illustrated by the equation.

Distributive Property (of Multiplication over Addition)
12
10 pts
Identify the property that is illustrated by the equation.

Closure Property of Multiplication
Associative Property of Multiplication
Distributive Property (of Multiplication over Addition)
Inverse Property of Multiplication
13
10 pts
Vocabulary: Identify another name for a reciprocal.
multiplicative inverse
opposite
14
10 pts
Compare and Contrast: How is the Additive Identity Property similar to the Multiplicative Identity Property? How is it different?
15
10 pts
Reasoning: There are grouping symbols in the equation (5 + w) + 8 = (w + 5) + 8, but it does not illustrate the Associative Property of Addition. Explain.
16
10 pts
Vocabulary: Give an example of a number that is not a rational number. Explain why it is not rational.
17
5 pts
Review Lesson 1-1: Find the next three terms in the pattern. Drag them into the box on the right.

• 18
• 20
• 23
• 24
• 26
• 28
• Next three terms
18
5 pts
Review Lesson 1-1: Find the next three terms in the pattern. Drag them into the box on the right.

• 4
• 2
• 0
• 3
• -5
• 1
• Next three terms
19
5 pts
Order of Operations Review: Use the order of operations to simplify the expression.

20
5 pts
Order of Operations Review: Use the order of operations to simplify the expression.

5
3
12
4
21
5 pts
Vocabulary Review: Identify the pair(s) of opposites. Classify each pair appropriately.

• Opposites
• NOT opposites
22
10 pts
Use Your Vocabulary: Classify the numbers appropriately. Some numbers will belong to more than one category.

• Real numbers
• Integers
23
100 pts
Notes: Take a clear picture or screenshot of your Cornell notes for this lesson. Upload it to the canvas. Zoom and pan as needed.