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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 • 2/3 • ¾ • 5/4 • ½
In with the new… 5/4 is larger than 4/5. Draw a model and explain why this is true.
Mathematical Practices • Make sense of problems and persevere in solving them. • Reason abstractly and quantitatively. • Construct viable arguments and critique the reasoning of others. • 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.
Truffles Linda makes chocolate truffles. The recipe for 20 dark chocolate truffles is 1 cup cream 2 cups dark chocolate 1. Complete the recipe for 40 dark truffles _________ cups cream _________ cups dark chocolate 2. 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 much cream and chocolate 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? _____________________