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Understanding Compound Events Through Area Models

Explore compound events by using area models to find theoretical probabilities in this math journal entry. Practice with partners and conduct experiments to reinforce learning. Challenge yourself with complex probability calculations.

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Understanding Compound Events Through Area Models

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  1. Math CC7/8 – Be Prepared Unit: What Do You Expect? Journal: • Date: 1/22/2019 • Title: WDYE 4.2 Making Purple 3) Sign off neighbor's HW from last night.  4) Warm Up:A grocery store sells 3 different sizes of milk and 4 different brands. How many different ways can you buy milk? On Desk: Turn In: Check Family Access. Are you missing anything? In Your Planner: HW: p. 82, #8-10, 32 2.MSA Retake-Thurs. Jan. 24th 3. WDYE Unit Test-Fri. Jan. 25th

  2. Tasks for Today • Warm Up • Correct Partner Quiz – Cave Models review • Lesson 4.2 –More Area Models • Begin HW?

  3. Warm Up: P(library) = 15/100 P(Den) = 6/100 P(DH) = 28/100 P(GH) = 30/100 P(FH) = 21/100 + + + + =

  4. Warm Up A grocery store sells 3 different sizes of milk and 4 different brands. How many different ways can you buy milk? (short cut?) Brand Size 4 x 3 =

  5. Fractional Area ModelsCAVE MODELS

  6. Use the Area Model to find the theoretical probability of landing in Cave A or Cave B

  7. Review Partner Quiz

  8. Compound Events • An event that is made up of two or more events • Example: tossing a coin and rolling a die • Two or more separate events that you put together to form one compound event.

  9. One labsheetfor each pair of students (or group of 3) One paperclip – use on both spinners Conduct the experiment 20 times(spin once on each spinner) Record results: Experimental Probability: P(Purple) = ___ / 20 R R B G B R

  10. Theoretical Probability: P (purple) = 4/18 = 2/9 Spinner B R B G R RR RG RB R RR RB RG R RR RG RB Spinner A BB BR B BG G GR GB GG YR YB YG Y

  11. 8 winners x $6 = $48 in prize money

  12. Profit= Revenue– Expense Profit= $72 - $48 = $24 in profit

  13. Exit Ticket 4.2!

  14. More Fractional Area Models: Cave Models Use the Area Model to find the theoretical probability of landing in Cave A or Cave B

  15. Use the Area Model to find the theoretical probability of landing in Cave A or Cave B

  16. Use the Area Model to find the theoretical probability of landing in Cave A or Cave B

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