Common Core

Math: the what and the why

“A generation ago, teachers could expect that what they

taught would last their students a lifetime. Today, because of

rapid economic and social change, schools have to prepare

students for jobs that have not yet been created,

technologies that have not yet been invented and problems

that we don't yet know will arise.” Andreas

Schleicher

Out with the old…

Which fraction is larger than 4/5 a. 2/3

b. ¾

c. 5/4

d. ½

In with the new…

5/4 is larger than 4/5. Draw a model and explain why this is true.

Mathematical Practices

1. Make sense of problems and persevere in solving them.

2. Reason abstractly and quantitatively.

3. Construct viable arguments and critique the reasoning of others.

4. Model with mathematics.

5. Use appropriate tools strategically.

6. Attend to precision.

7. Look for and make use of structure.

8. Look for and express regularity in repeated reasoning.

TrufflesLinda makes chocolate truffles.The recipe for 20 dark chocolate truffles is1 cup cream2 cups dark chocolate1. Complete the recipe for 40 dark truffles_________ cups cream_________ cups dark chocolate2. One day, Linda has 8 cups of dark chocolate and plenty of cream.How many truffles can she make? ____________Explain how you figured it out.____________________________________________________________________________________________________________________________________3. The recipe for Super Truffles is different. The graph on the next page shows how muchcream andchocolate to use.How much chocolate does Linda need for two cups of cream?_____________________4. How much cream does she need for 15 cups of chocolate?_____________________