Algebra 2 1-2 Complete Lesson: Properties of Real Numbers
By Matt Richardson
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Last updated about 3 years ago
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.
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Question 1
1.
Solve It! How can you describe a set that includes five of the emoticons shown, but not the sixth?
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Question 2
2.
Problem 1 Got It?
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Question 3
3.
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.
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Question 4
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Problem 3 Got It? Fill in the blank to compare the two numbers below.
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Question 5
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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?
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Question 6
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Problem 4 Got It? Which property does the equation illustrate?
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Question 7
7.
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.
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Question 8
8.
Write an example from daily life that uses whole numbers.
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Question 9
9.
Write an example from daily life that uses integers.
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Question 10
10.
Write an example from daily life that uses rational numbers.
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Question 11
11.
Identify the property that is illustrated by the equation.
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Question 12
12.
Identify the property that is illustrated by the equation.
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Question 13
13.
Vocabulary: Identify another name for a reciprocal.
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Question 14
14.
Compare and Contrast: How is the Additive Identity Property similar to the Multiplicative Identity Property? How is it different?
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Question 15
15.
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.
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Question 16
16.
Vocabulary: Give an example of a number that is not a rational number. Explain why it is not rational.
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Question 17
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Review Lesson 1-1: Find the next three terms in the pattern. Drag them into the box on the right.
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Next three terms
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Question 18
18.
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
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Question 19
19.
Order of Operations Review: Use the order of operations to simplify the expression.
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Question 20
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Order of Operations Review: Use the order of operations to simplify the expression.
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Question 21
21.
Vocabulary Review: Identify the pair(s) of opposites. Classify each pair appropriately.
Opposites
NOT opposites
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Question 22
22.
Use Your Vocabulary: Classify the numbers appropriately. Some numbers will belong to more than one category.
Real numbers
Integers
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Question 23
23.
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.