Algebra 2 1-2 Complete Lesson: Properties of Real Numbers

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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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Algebra 2 1-2 Complete Lesson: Properties of Real Numbers

Algebra 2 1-2 Complete Lesson: Properties of Real Numbers

Solve It! How can you describe a set that includes five of the emoticons shown, but not the sixth?

Problem 1 Got It?

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.

Problem 3 Got It? Fill in the blank to compare the two numbers below.

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?

Problem 4 Got It? Which property does the equation illustrate?

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.

Write an example from daily life that uses whole numbers.

Write an example from daily life that uses integers.

Write an example from daily life that uses rational numbers.

Identify the property that is illustrated by the equation.

Identify the property that is illustrated by the equation.

Vocabulary: Identify another name for a reciprocal.

Compare and Contrast: How is the Additive Identity Property similar to the Multiplicative Identity Property? How is it different?

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.

Vocabulary: Give an example of a number that is not a rational number. Explain why it is not rational.

Review Lesson 1-1: Find the next three terms in the pattern. Drag them into the box on the right.

Review Lesson 1-1: Find the next three terms in the pattern. Drag them into the box on the right.

Order of Operations Review: Use the order of operations to simplify the expression.

Order of Operations Review: Use the order of operations to simplify the expression.

Vocabulary Review: Identify the pair(s) of opposites. Classify each pair appropriately.

Use Your Vocabulary: Classify the numbers appropriately. Some numbers will belong to more than one category.

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.

Reflection: Math Success

Solve It! How can you describe a set that includes five of the emoticons shown, but not the sixth?

Problem 1 Got It?

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.

Problem 3 Got It? Fill in the blank to compare the two numbers below.

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?

Problem 4 Got It? Which property does the equation illustrate?

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.

Write an example from daily life that uses whole numbers.

Write an example from daily life that uses integers.

Write an example from daily life that uses rational numbers.

Identify the property that is illustrated by the equation.

Identify the property that is illustrated by the equation.

Vocabulary: Identify another name for a reciprocal.

Compare and Contrast: How is the Additive Identity Property similar to the Multiplicative Identity Property? How is it different?

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.

Vocabulary: Give an example of a number that is not a rational number. Explain why it is not rational.

Review Lesson 1-1: Find the next three terms in the pattern. Drag them into the box on the right.

Review Lesson 1-1: Find the next three terms in the pattern. Drag them into the box on the right.

Order of Operations Review: Use the order of operations to simplify the expression.

Order of Operations Review: Use the order of operations to simplify the expression.

Vocabulary Review: Identify the pair(s) of opposites. Classify each pair appropriately.

Use Your Vocabulary: Classify the numbers appropriately. Some numbers will belong to more than one category.

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.

Reflection: Math Success

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.

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.

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.

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.