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Analytic Geometry Week of 2/02/15 Dates Standard 2/2/15 Monday MCC9-12.G.GMD.3 Use volume formulas for cylinders, pyramids, cones, and spheres to solve problems. 2/3/15 Tuesday MCC9-12.G.GMD.3 Use volume formulas for cylinders, pyramids, cones, and spheres to solve problems. 2/4/15 Wednesday MCC9-12.G.GMD.3 Use volume formulas for cylinders, pyramids, cones, and spheres to solve problems. 2/5/15 Thursday 2/6/15 Friday (No standards pertain – review of probability) How do I determine the probability of an event? What is the difference between theoretical and experimental probability? Spinner questions – see what they remember about probability. MCC9-12.G.GMD.2 (+) Give an informal argument using Cavalieri’s principle for the formulas for the volume of a sphere and other solid figures Time Essential Question/ Key Question How do I find the volume of composite figures? What is Cavalieri’s Principle? How do I find the volume of different geometric shapes? How do I find the volume of different geometric shapes? Lesson Opener First problem: How can I find the volume of the following figure? (Rocket – cylinder with cone on top) Make your own composite figure! Give all necessary measurements to find the volume. Give to a partner to find the volume. Put into teams for Jeopardy 10 minutes to take review questions – set timer Analytic Geometry Week of 2/02/15 Procedures/Strategies Notes – composite figures Time Penny example: How can I find the volume of this stack of pennies? How will it change when I “shear” the stack? Review game – Jeopardy! Test Define terms in notes. Notes – Cavalieri’s principle and examples Time Time Lesson Summary Review slant height with a problem, if time allows Have a student restate Cavalieri’s principle in his/her own words. Assessment/ Evaluation HW grade – find volume of ice cream cone Smartboard HW grade – 2 problems involving Cavalieri’s principle Smartboard Ipads/notes Ipads/notes Materials Needed First, spinner problems – find the probabilities. Everyone will roll dice, and we will collect a class sample. What are the experimental probabilities of rolling each number? How do they compare to the theoretical probabilities? Give hw. Tell students that I have some review problems on my online classroom that they can use to review. HW: study! (Students have all class period to finish test) Jeopardy game Formula sheets HW grade – 3 probability problems and EXPLAIN! Smartboard Tests Notes worksheets Test grade Dice