Algebra 2 1-2 Guided Practice: Properties of Real Numbers

By Matt Richardson

Last updated over 1 year ago

Video Check: Select all that apply with regards to the video embedded directly above this item.

🕵️ I carefully watched the entire video.

📵 I removed distractions from my field of view while watching the entire video.

🎧 I used headphones (or earbuds) to listen to the entire video as I watched it.

✋ I sought clarification, as needed, to understand each concept in the video.

🎓 I understand each concept in the video and feel ready to move on.

🎯 I feel prepared to complete challenging problems related to the video.

❌ None of these statements apply.

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

Video Check: Select all that apply with regards to the video embedded directly above this item.

🕵️ I carefully watched the entire video.

📵 I removed distractions from my field of view while watching the entire video.

🎧 I used headphones (or earbuds) to listen to the entire video as I watched it.

✋ I sought clarification, as needed, to understand each concept in the video.

🎓 I understand each concept in the video and feel ready to move on.

🎯 I feel prepared to complete challenging problems related to the video.

❌ None of these statements apply.

Take Note: Classify each number below based on the subset of the real numbers that provides the most information about the number. In other words, only place each number into the smallest subset to which it belongs.

5
-782
-\frac{7}{5}
0

Rational Numbers
Integers
Whole Numbers
Natural Numbers

Problem 1 Got It?

A

B

C

D

Video Check: Select all that apply with regards to the video embedded directly above this item.

🕵️ I carefully watched the entire video.

📵 I removed distractions from my field of view while watching the entire video.

🎧 I used headphones (or earbuds) to listen to the entire video as I watched it.

✋ I sought clarification, as needed, to understand each concept in the video.

🎓 I understand each concept in the video and feel ready to move on.

🎯 I feel prepared to complete challenging problems related to the video.

❌ None of these statements apply.

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.

Video Check: Select all that apply with regards to the video embedded directly above this item.

🕵️ I carefully watched the entire video.

📵 I removed distractions from my field of view while watching the entire video.

🎧 I used headphones (or earbuds) to listen to the entire video as I watched it.

✋ I sought clarification, as needed, to understand each concept in the video.

🎓 I understand each concept in the video and feel ready to move on.

🎯 I feel prepared to complete challenging problems related to the video.

❌ None of these statements apply.

Take Note: Match each inequality symbol with its name.

		is less than
		is greater than
		is less than or equal to
		is greater than or equal to

10.

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

>

<

=

11.

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.

12.

Video Check: Select all that apply with regards to the video embedded directly above this item.

🕵️ I carefully watched the entire video.

📵 I removed distractions from my field of view while watching the entire video.

🎧 I used headphones (or earbuds) to listen to the entire video as I watched it.

✋ I sought clarification, as needed, to understand each concept in the video.

🎓 I understand each concept in the video and feel ready to move on.

🎯 I feel prepared to complete challenging problems related to the video.

❌ None of these statements apply.

13.

Take Note: Define opposite (or additive inverse).

14.

Take Note: Provide an example pair of opposites (or additive inverses).

15.

Take Note: Define reciprocal (or multiplicative inverse).

16.

Take Note: Provide an example pair of reciprocals (or multiplicative inverses).

Take Note: Take a moment to review the Properties of Real Numbers and add them to your notes.

17.

Take Note: Let a, b, and c be real numbers. Use the Properties of Real Numbers to match equivalent expressions.

		y+x
		x+(y+z)
		x(yz)
		z
		y
		0
		1
		xy+xz

18.

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

Associative property

Distributive property

Commutative property

19.

🧠 Retrieval Practice:
Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?