Algebra 1 1-3 Complete Lesson: Real Numbers and the Number Line

By Matt Richardson
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Last updated about 2 years ago
29 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
1.
Solve It! If the pattern continues, which will be the first figure to contain more than 200 square units? Explain your reasoning.
10
2.
Problem 1 Got It? What is the simplified form of the expression?
10
3.
Problem 1 Got It? What is the simplified form of the expression?
10
4.
Problem 1 Got It? What is the simplified form of the expression?
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5.
Problem 2 Got It? What is the value of the expression to the nearest integer?
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6.
Problem 3 Got It? To which subsets of the real numbers does the number belong?
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7.
Problem 3 Got It? To which subsets of the real numbers does the number belong?
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8.
Problem 3 Got It? To which subsets of the real numbers does the number belong?
10
9.
Problem 3 Got It? To which subsets of the real numbers does the number belong?
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10.
Problem 4 Got It? Fill in the circle to complete the inequality.
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11.
Problem 4 Got It? Reasoning: In Problem 4, is there another inequality you can write that compares the two numbers? Explain.
10
12.
Problem 5 Got It? Graph and label the following numbers on a number line.
Label units on the number line and be precise.
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13.
Problem 5 Got It? Order the numbers from least to greatest.

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14.
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15.
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16.
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17.
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18.
Vocabulary: What are the two subsets of the real numbers that together form the set of real numbers?
10
19.
Vocabulary: Give an example of a rational number that is not an integer.
10
20.
Reasoning: Is √100 rational or irrational? Explain.
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10
22.
Evaluate: Evaluate the expression for the given values of the variables.
Enter only a number.
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23.
Evaluate: Evaluate the expression for the given values of the variables.
Enter only a number
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24.
Translate: Write an algebraic expression for the word phrase.

the sum of 14 and x
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25.
Simplify: Simplify the expression.
Enter only a number.
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26.
Simplify: Simplify the expression.
Enter only a number.
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27.
Vocabular Review: Identify the numbers that are perfect squares.
  • 1
  • 12
  • 16
  • 100
  • 121
  • 200
  • 256
  • Perfect squares
100
28.
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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29.
Reflection: Math Success