1. Around the Block By Andrew Derer and Gail Warren

2. Some terms we need to know Algebra Equation Variable a generalization of math in which letters representing numbers are combined according to certain rules. A math sentence containing an equal sign. A letter or symbol used to represent a number.

3. Discovery Activity Describe the characteristics of each tile for part 1. Trace your tiles onto your paper

4. Discovery Activity Describe the characteristics of each tile for part 1. Trace your tiles onto your paper You have 2 minutes to complete this part

5. Which is which? x 1 x2x2

6. x 1 x2x2

7. Example + x2x2 3x2 This is called an algebraic expression! 1

8. Example + x2x2 3x2 This is called an algebraic expression! 1 It would look like this:

9. Example + x2x2 3x2 The number in front of a variable is called a coefficient. If there isn’t a number in front of the variable, the coefficient is automatically 1. 1

10. These two expressions would combine to make: Putting it all together If I have “like tiles” I can combine them. x2x2 4x + 2x

11. These two expressions would combine to make: Putting it all together If I have “like tiles” I can combine them. x2x2 4x+ 2x

12. These two expressions would combine to make: Putting it all together If I have “like tiles” I can combine them. x2x2 6x +

13. Oh, I see x 2 + 2x and 4x Combine to make x 2 + 6x

14. x 2 + 2x and 4x x 2 + 6x

15. Now it’s your turn Let’s see if we can all be finished in 5 minutes

16. Creating Rectangles You can create rectangles with your Algeblocks ®. You must use at least one of each kind of tile. Using variables, you can describe the length and width. Let’s try one together…

17. Creating a rectangle Here is one example… Remember, a square is also a rectangle!

18. Creating a rectangle Notice the line segments go from one side to the other. Each x is exactly 1 unit wide. Each x 2 is exactly x wide So this rectangle is x + 1 wide Here is one example… x 1 x + 1

19. Creating a rectangle Each x is exactly 1 unit wide. Each x 2 is exactly x tall So this rectangle is x + 1 tall Here is one example… x 1 x + 1

20. Creating Rectangles Your turn! Trace your rectangle onto the sheet provided. Using x, give the length and width of your creation. Like this…

21. If area is length times width, what is the area of your rectangle? ( ______________ ) x ( _____________ ) If I told you each x had a value of 2, could you find the area? ( _________ ) x ( _________ ) Width: Creating Rectangles Trace your rectangle here. Write the length and width in the spaces below. Length: x + 1

22. If area is length times width, what is the area of your rectangle? ( ______________ ) x ( _____________ ) If I told you each x had a value of 2, could you find the area? ( _________ ) x ( _________ ) Width: Creating Rectangles Trace your rectangle here. Write the length and width in the spaces below. Length: x + 1 x + 1 x + 1

23. If area is length times width, what is the area of your rectangle? ( ______________ ) x ( _____________ ) If I told you each x had a value of 2, could you find the area? ( _________ ) x ( _________ ) + 1 Width: Creating Rectangles Trace your rectangle here. Write the length and width in the spaces below. Length: x + 1 x + 1 x + 1 + 122

24. If area is length times width, what is the area of your rectangle? ( ______________ ) x ( _____________ ) If I told you each x had a value of 2, could you find the area? ( _________ ) x ( _________ ) Width: Creating Rectangles Trace your rectangle here. Write the length and width in the spaces below. Length: x + 1 x + 1 x + 1 33= 9

25. If area is length times width, what is the area of your rectangle? ( ______________ ) x ( _____________ ) If I told you each x had a value of 2, could you find the area? ( _________ ) x ( _________ ) Width: Creating Rectangles Trace your rectangle here. Write the length and width in the spaces below. Length: x + 1 x + 1 x + 1 33= 9 Place the value of the ones place on a sticky note and put it with its appropriate stem on the board 9

26. The area of our rectangles Stems Leaves 0 1 2 3 4 5 9

27. The area of our rectangles Stems Leaves 0 1 2 3 4 5 9 2 Another Example: If the area of my rectangle is 32, I would put a 2 on my sticky note. Your turn!

28. Please place all your tiles in groups like this: x2x2 x 1

29. Let’s see what you remember Coefficient Equation Variable Like Terms A number that is in front of a variable. A math sentence containing an equal sign. A letter or symbol used to represent a number. Two or more pieces that are the same size. 1 x x 2

30. Questions?

31. Thank you