Algebra 1 1-4 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! Tell whether the pair of expressions is equal.

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=

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

=

≠

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

≠

=

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

=

≠

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

=

≠

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

=

≠

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: Define equivalent expressions.

10.

Take Note: Provide an example of two equivalent expressions. Separate the two with a comma.

11.

Take Note: Describe the commutative properties of addition and multiplication.

12.

Take Note: Describe the associative properties of addition and multiplication.

13.

Take Note: Describe the identity properties of addition and multiplication.

14.

Take Note: Describe the zero property of multiplication.

15.

Problem 1 Got It?

A

B

C

D

16.

Problem 1 Got It? 

A

B

C

D

17.

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.

18.

Problem 2 Got It? 

A

B

C

D

19.

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.

20.

Problem 3 Got It?  

A

B

C

D

21.

Problem 3 Got It?  

A

B

C

D

22.

Problem 3 Got It?  

A

B

C

D

23.

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.

24.

Take Note: What is deductive reasoning?

25.

Take Note: What is a counterexample?

26.

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.

27.

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.

28.

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