1. Around the Block By Andrew Derer and Gail Warren

2. Math “Talk” Some terms we need to know: EQUATION: A math sentence containing an equal sign. = 2+2 4

3. Math “Talk” VARIABLE: A letter or symbol used to represent a number. 2 + = 4 2x

4. Math “Talk” ALGEBRA: A generalization of math in which letters representing numbers are combined according to certain rules. Our algebra today will have ONE variable in an equation.

5. at your 3 different Algeblocks ®. What do you see? Write down some of your observations. Discovery Activity

6. Trace your tiles onto your paper. You have 2 minutes to complete this part

7. Which is which? x 1 x2x2

8. Show and Tell Using your Algeblocks ®, show: x 2 + 3x + 2 It would look like this:

9. Show and Tell + x2x2 3x2 This is called an algebraic expression! 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 3

10. Let’s try another Using your Algeblocks ®, can you show: x 2 + x + 4 Excellent!

11. Just One More Together Using your Algeblocks ®, can you show: Great! Draw x + 1 on your sheet where it belongs. x + 1

12. Now it’s your turn! Finish the front of the sheet. Lay out the tiles for each problem. Trace the tiles.

13. x + x Pull down one x. Pull down another x. Place the tiles under x + x. Trace both tiles.

14. 2x + 1 Pull down two x. Pull down a 1. Place the tiles under 2x + 1. Trace the tiles.

15. x2x2 Pull down one x 2. Place the tiles under x 2. Trace both tiles.

16. 2x 2 + 3x + 5 Pull down two x 2. Pull down 3x. Pull down 5.

17. These two expressions would combine to make: Putting it all together If I have “like tiles” I can combine them. x2x2 4x + 2x 6x +

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

19. Now it’s your turn 2x 2 + 3x 2 5x 2

20. Now it’s your turn 2x 2 + 3x + x 2 + 5x 3x 2 + 8x

21. What About… 4x 2 + 2x

22. Finally 2x 2 + 4x + 4 + x 2 + 2x + 2 3x 2 + 6x + 6

23. Creating Rectangles You can create rectangles with your Algeblocks ®. You must use at least one of each kind of tile. You can find the “value” of your rectangle. Let’s try one together…

24. Creating a rectangle Notice the line segments go from one side to the other. Here is one example… Remember, a square is also a rectangle! Label each tile correctly as x 2, x, or 1 x 2 x x 1 Write the equation for your rectangle. x 2 + x + x + 1 Remember to combine ‘like terms’. 2x + 1 x 2 +

25. Creating Rectangles Use your Algeblocks ® to make a rectangle. Trace your rectangle onto the sheet provided. Mark each tile by writing x 2, x or 1 inside. Write your equation; remember to combine like terms. Your Turn!

26. x2x2 x x 4 2 2 1 Creating a rectangle Find the value of your rectangle by adding up the value for each tile. + ++= 9 Now give x the value of 2. Write the value of each tile inside.

27. Our Class Results Look at the value of your ENTIRE rectangle. We are going to show our class results in a “Stem and Leaf” plot. Like this…

28. Our Class Results Stems Leaves 0 1 2 3 4 5 Remember our sample rectangle. It had a value of 9. 9 Write the ones place of your value on the sticky note. Place the sticky note next to the tens place on the plot, like this...

29. The value 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 and place it next to the 3 on the plot. Your turn!

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

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

32. 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

33. Questions? Thank you