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

By Matt Richardson
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Last updated about 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.
5
1.
Solve It! Tell whether the pair of expressions is equal.
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2.
Solve It! Tell whether the pair of expressions is equal.
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3.
Solve It! Tell whether the pair of expressions is equal.
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4.
Solve It! Tell whether the pair of expressions is equal.
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5.
Solve It! Tell whether the pair of expressions is equal.
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6.
Solve It! Tell whether the pair of expressions is equal.
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7.
Problem 1 Got It?
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Problem 1 Got It?
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Problem 2 Got It?
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Problem 3 Got It?
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Problem 3 Got It?
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Problem 3 Got It?
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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.
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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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Vocabulary: Are the expressions equivalent? 5x + 1 and 1 + 5x
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Vocabulary: Are the expressions equivalent? 1 + (2t +1) and 2 + 2t
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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
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Sorting: Order the numbers from least to greatest (least on top, greatest on bottom).
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Arithmetic: Find the sum.
Write only a number, in simplest form.
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Arithmetic: Find the difference.
Write only a number, in simplest form.
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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
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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.
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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.
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Reflection: Math Success