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

By Matt Richardson
Last updated over 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.
1.

Solve It! If the pattern continues, which will be the first figure to contain more than 200 square units? Explain your reasoning.

2.

Problem 1 Got It? What is the simplified form of the expression?

3.

Problem 1 Got It? What is the simplified form of the expression?

4.

Problem 1 Got It? What is the simplified form of the expression?

5.

Problem 2 Got It? What is the value of the expression to the nearest integer?

6.

Problem 3 Got It? To which subsets of the real numbers does the number belong?

7.

Problem 3 Got It? To which subsets of the real numbers does the number belong?

8.

Problem 3 Got It? To which subsets of the real numbers does the number belong?

9.

Problem 3 Got It? To which subsets of the real numbers does the number belong?

10.

Problem 4 Got It? Fill in the circle to complete the inequality.

11.

Problem 4 Got It? Reasoning: In Problem 4, is there another inequality you can write that compares the two numbers? Explain.

12.

Problem 5 Got It? Graph and label the following numbers on a number line.
Label units on the number line and be precise.

13.

Problem 5 Got It? Order the numbers from least to greatest.

14.
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18.

Vocabulary: What are the two subsets of the real numbers that together form the set of real numbers?

19.

Vocabulary: Give an example of a rational number that is not an integer.

20.

Reasoning: Is √100 rational or irrational? Explain.

22.

Evaluate: Evaluate the expression for the given values of the variables.
Enter only a number.

23.

Evaluate: Evaluate the expression for the given values of the variables.
Enter only a number

24.

Translate: Write an algebraic expression for the word phrase.

the sum of 14 and x

25.

Simplify: Simplify the expression.
Enter only a number.

26.

Simplify: Simplify the expression.
Enter only a number.

27.

Vocabular Review: Identify the numbers that are perfect squares.

  • 1
  • 12
  • 16
  • 100
  • 121
  • 200
  • 256
  • Perfect squares
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.

29.

Reflection: Math Success