1. + Modeling Mathematics Cassie and Meghan

2. + Common Core Standard 4 Mathematically proficient students can apply the mathematics they know to solve problems arising in everyday life, society, and the workplace.

3. + Early Grades Commutative Laws Says we can swap numbers over and still get the same answer! We want you to prove that this law actually works! You are going to do this using GeoGebra! PROVE: 5+7 = 7+5 2+8 = 8+2 6+1 = 1+6 Why?!? Tell us why the statements above are true!

4. + Commutative Law In Real Life MONEY$$ If you start out with 10 coins and have an allowance of 5 coins a week. At the end of the week you have 15 coins all together. If your friend starts out with 5 coins and has a 10 coin allowance a week. At the end of the week your friend will also have 15 coins. Now…let’s write a math sentence to model this word problem. 10+5 = 5+10 15 = 15

5. + Middle Grades Algebra Tiles What are these? Tiles that students can use to help them solve and set up algebraic equations. Either go to riccima.wikispaces.com or spartzcm.wikispaces.com to access virtual Algebra tiles! http://my.hrw.com/math06_07/nsmedia/tools/Algebra_Tiles /Algebra_Tiles.html

6. + Exploring Algebra Tiles Show 3x-4=8 using algebra tiles, but do NOT solve.

7. +

8. +

9. +

10. + Using Algebra Tiles to Solve Word Problems Jose spends $14 on ice cream sandwiches. This was $5 more than three times what he spent on suckers. How much did he spend on suckers?? 3x+5 = 14 Using the equation we found, express that using Algebra Tiles and solve for the variable.

11. +

12. +

13. +

14. +

15. + Conclusion Previously displayed mathematics can be used in everyday life to represent different relationships using symbols!