True false and open equations worksheets

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.

• I can explain what an equation is.
• I can determine whether an equation is true or false.
• I can find values for variables that make equations true.

2.) Warm Up
Read through these statements and think about the answers. You do not need to write these down or write down your answers. Just think about them or discuss them with your neighbor. If you can't remember what a subject or object is, I couldn't either. I had to look it up :). The next video will walk through the answers. The purpose of this video is to get us thinking.

2.) Video: Warm Up
Watch this video to complete your warm up. This will explain the similarities between sentences in English and mathematical sentences.

4.) Notes: True or False
Copy these 7 statements into your notes and determine whether they are true or false.

5.) Video: True or False Key
Here is the key to the true or false statements above. Please make sure you work through them on your own first before checking the answers. If you need help, make sure to have me come chat with you.

7.) Video: How many values make the equation true?
This video is very important. It introduces the idea of equations having multiple solutions or no solutions. Please watch the video AND copy the notes I have written.

8.) Notes: Write your own equations
In the last video I gave you examples of equations that have "All Solutions", "Some Solutions," or "None". Now its your turn to write an equation for each of the three different types. Make sure to show me what you come up with when you are done.

9.) Article: "Someone"
Read this scenario. It gives a good analogy to what variables represent as we solve them.

• Given that she didn’t specify otherwise, we would assume that the “someone” Julie thinks she sees is a human. We can’t guarantee that Julie’s observatory statement is true. It could be that Julie’s friend has something on the porch that merely looks like a human from far away. Julie assumes she is correct and moves closer to see if she can figure out who it is. As she nears the porch she declares, “Ah, it is our friend, John Jacob.”
  
• Often in mathematics, we observe a situation and make a statement we believe to true. Just as Julie used the word “someone”, in mathematics we use variables in our statements to represent quantities not yet known. Then, just as Julie did, we “get closer” to study the situation more carefully and find out if our “someone” exists and if so “who” it is.
  

10.) Notes: Name the Value of a Variable
Read the problem to the right. See if you can come up with at least some of the ways you can show the value of a variable.
If you run out of ideas, the next video will fill in the blanks.