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Algebra 1 1-4 Complete Lesson: Properties of Real Numbers

By Matt Richardson
Last updated over 2 years ago
28 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! Tell whether the pair of expressions is equal.

2.

Solve It! Tell whether the pair of expressions is equal.

3.

Solve It! Tell whether the pair of expressions is equal.

4.

Solve It! Tell whether the pair of expressions is equal.

5.

Solve It! Tell whether the pair of expressions is equal.

6.

Solve It! Tell whether the pair of expressions is equal.

7.

Problem 1 Got It?

8.

Problem 1 Got It?

9.

Problem 2 Got It?

10.

Problem 3 Got It?

11.

Problem 3 Got It?

12.

Problem 3 Got It?

13.

Problem 4 Got It? Reasoning: Is the statement true or false? If it is false, give a counterexample. If true, use properties of real numbers to show the expressions are equivalent.

For all real numbers j and k, j⋅k = (k + 0) ⋅ j.

14.

Problem 4 Got It? Reasoning: Is the statement true or false? If it is false, give a counterexample. If true, use properties of real numbers to show the expressions are equivalent.

For all real numbers m and n, m(n + 1) = mn + 1.

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19.

Vocabulary: Are the expressions equivalent? 5x + 1 and 1 + 5x

20.

Vocabulary: Are the expressions equivalent? 1 + (2t +1) and 2 + 2t

21.

Justify: The expression below is simplified, step-by-step, on the right.
Use a property from the left to justify each step.

  • Associative property (of multiplication)
  • Distributive property
  • Commutative property (of multiplication)
  • Multiply
22.

Sorting: Order the numbers from least to greatest (least on top, greatest on bottom).

23.

Arithmetic: Find the sum.
Write only a number, in simplest form.

24.

Arithmetic: Find the difference.
Write only a number, in simplest form.

25.

Vocabulary Review: Classify the expressions on the left.

  • 2x + 3
  • 27 + 2
  • 52 - 7.5
  • -14.7
  • 5a + 17b
  • ⅔ + 5m2
  • Algebraic Expressions
  • Numerical Expressions
26.

Use Your Vocabulary: Match each statement on the left with the counterexample that shows it to be false.

  • If you live in Miami, you live in Florida.
  • If you live near an ocean, you live near the Atlantic Ocean.
  • If you live in North America, you live in the United States.
  • Mexico is in North America.
  • People in California live near the Pacific Ocean.
  • There is a city in Ohio named Miami.
27.

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.

28.

Reflection: Math Success