Lesson 1.2.2: The commutative and associative properties |
For this lesson there are 16 steps for you to take. Scroll down and do each step one-by-one. The instructions under each step will help clarify exactly what you need to do, so please read all the instructions.
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Here is the worksheet for Lesson 1.2.2
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1.) Start Notes: Target
Begin your notes with a title and then write down the target below:
Begin your notes with a title and then write down the target below:
- I can use the commutative and associative properties to prove expressions are equivalent.
3.) Video: Warm Up
In this video I walk through the warm up. See if we have the same answers. |
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4.) Video: Vocab
Watch this video and take ALL the notes. Please listen closely and make surey you understand the concept before moving on. The content in this video is the foundation for the rest of the lesson and much of the course. |
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5.) Notes: Using the Properties
Does (x + y) + z = (z + y) + x? If so, prove it using the properties we just learned.
Does (x + y) + z = (z + y) + x? If so, prove it using the properties we just learned.
6.) Video: Using the Properties
In this video I introduce us to the idea of a "proof" and how we can use properties to prove the two expressions from part 5 are equivalent. |
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7.) Notes: Prove it...
Prove that (xy)z = (zy)x
Prove that (xy)z = (zy)x
8.) Video: Proof 1
In this video I prove part 7. This might be your first look at what a proof looks like. You will be doing more of these throughout the course, so make sure you watch to see how I set up a proof. In the video I reference something called the "Transitive Property of Equality." Here is how we define this property: Transitive Property of Equality: If a = b and b = c, then a = c. |
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10.) Video: What Property
Here I go through and fill in the blanks. See if we have the same answers. |
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12.) Video: Fill in the Blank
Here I find what was missing from part 11. See if we have the same answer. If we have different answers, show me what you got. |
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13. Exit Tickets
Here are 4 problems for you to work on now that you have learned so much :). After you finish the 4 problems, show me your work. A high five is on its way. For the 4th problem, you don't have to write everything in your notes, just put the letters C, A, or D in your notes and be ready to identify which circle your letters match up with. |