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Modeling MathematicsCassie and Meghan

+Common Core Standard 4

Mathematically proficient students can apply the mathematics they know to solve problems arising in everyday life, society, and the workplace.

+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!

+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

+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

+Exploring Algebra Tiles

Show 3x-4=8 using algebra tiles, but do NOT solve.

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+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.

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+Conclusion

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