Wednesday, May 28, 2014

Wednesday, May 28

4x + 2 = 10

4x + 2 - 2 = 10 - 2

4x = 8

4x/4 = 8/4

x = 2

In this problem, x can only be 2 because....

4 (2) + 2 = 10

8 + 2 = 10

4x + 10 = 2

4x + 10 - 10 = 2 - 10

4x = -8

4x/4 = -8/4

x = -2

In this problem, x can only be -2 because....

4 (-2) + 10 = 2

-8 + 10 = 2

Thursday, May 22, 2014

Thursday, May 22

Steps for solving for x using equations

Write out the equation.

2 x + 5  = -7

Take away what is the same on both sides.
2x + 5 - 5 = -7 - 5
2x = -12

If there is more than 1 x, divide the number of chips by the number of x's. 

2x/2 = -12/2

Find out how much one x is.

x = -6

Monday, May 19, 2014

Monday, May 19

We solved many equations with x on the left side of the equation. Does the process change if x is on the right side of the equation? We decided it does not matter!

Draw/make a model.



Add zero pairs so that you can take away what is the same on both sides.




Take away what is the same on both sides






Divide the remaining chips by the number of x strips






Homework: Quiz tomorrow




















Thursday, May 15, 2014

Thursday, May 15

We agreed to add a step in between steps 3 and 4 on our Solving for x Public Record.

Step 3a. Divide the remaining chips by the number of x strips.

Wednesday, May 14, 2014

Wednesday, May 14

On page R-7

Our class has decided on these steps to use chips to solve for x:

1. Draw/Make a model of the equation. Take the number of chips and x strips the problem tells you to. Be sure to match the sign with the correct color of the tile.

x + 3 = 4


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2. Zeroation, if needed. (Add in zero pairs)

3. Eliminate the match

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3a. Divide the remaining chips by the number of x strips.



4. Equation solved!




Tuesday, May 13, 2014

Tuesday, May 13

We have decided to give t-shirts to everyone who participates in the walk-a-thon. We need to choose between two t-shirt companies.

Mighty T-shirts: $49 flat fee + $1for each t-shirt

No Shrink T-shirts: $4.50 per t-shirt (no flat fee)

1) What company should we buy t-shirts from?
2) Write an equation for each company.
3) What is the general way to write a linear equation? What are the essential parts of any linear equation?

Ali's strategy

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Luke's Strategy

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 Mighty T-shirts: $49 + 1 x T = C
No Shrink: $4.50 x T = C
Essential parts of a linear relationship (in any equation)
  • constant rate of change
  • x - independent variable
  • y - dependent variable
  • starting point/flat fee
Homework: pg. 40 #s 4 and 6, pg 48 #s 35-37, pg 51 # 43 Due tomorrow

Monday, May 12, 2014

Monday, May 12

What is cancelling and what is not?

"eliminate the match" - when we take away the same thing from both sides of the equation
"zeroation" - when we add in zero pairs in order to take away the same thing from both sides of the equation

No new homework

Thursday, May 8, 2014

Thursday, May 8

Solving for x Homework due Friday. If you are on the choir trip, Solving for x homework will be due on Monday.

Monday, May 5, 2014

Monday, May 5

Making sense of algebra tiles

We know that one black tile equals positive one.

We now agree that one strip equals x. Its value changes depending on the number of units along with it.

Does this work for red tiles also?

Homework: Solve the model below. Due tomorrow.

1 strip and 3 red tile equals 8 red tiles. How much is the strip worth?