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

4.5 (1 rating)

by Matthew Richardson

| 24 QuestionsNote 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

1

10 pts

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

2

2

10 pts

Problem 1 Got It?

A

B

C

D

3

10 pts

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.

4

10 pts

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

=

>

<

5

10 pts

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?

a > c

a = c

a < c

There is not enough information to compare a and c.

6

10 pts

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

Distributive property

Commutative property

Associative property

7

10 pts

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.

8

10 pts

Write an example from daily life that uses whole numbers.

9

10 pts

Write an example from daily life that uses integers.

10

10 pts

Write an example from daily life that uses rational numbers.

11

10 pts

Identify the property that is illustrated by the equation.

Distributive Property (of Multiplication over Addition)

Inverse Property of Addition

Associative Property of Addition

Closure Property of Addition

12

10 pts

Identify the property that is illustrated by the equation.

Closure Property of Multiplication

Associative Property of Multiplication

Distributive Property (of Multiplication over Addition)

Inverse Property of Multiplication

13

10 pts

Vocabulary: Identify another name for a reciprocal.

additive inverse

multiplicative inverse

opposite

14

10 pts

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

15

10 pts

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.

16

10 pts

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

17

5 pts

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

- 18
- 20
- 23
- 24
- 26
- 28

- Next three terms

18

5 pts

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

- 4
- 2
- 0
- 3
- -5
- 1

- Next three terms

19

5 pts

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

20

5 pts

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

5

3

12

4

21

5 pts

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

- Opposites
- NOT opposites

22

10 pts

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

- Real numbers
- Integers

23

100 pts

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.

24

10 pts

Reflection: Math Success

Add to my formatives list

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