Q4W3 April 8 – 12,2019 Advanced

TeacherCarol Brackin
Subject AreaMath Advanced
Grade Level7th
Week #Q4W3
Unit of InstructionProbability then Percents
Standard(s) Taught

MAFS.7.SP.3.8 – Find probabilities of compound events using organized lists, tables, tree diagrams and simulation. Find probabilities of compound events using organized lists, tables, tree diagrams and simulation.

a. Understand that, just as with simple events, the probability of a compound event is the fraction of outcomes in the staple space for which the compound event occurs.

b. Represent sample spaces for compound events using methods such as organized lists, tables and tree diagrams. For an event described in everydaylanguage (eg. “rolling double sixes”), identify theoutcomes in the sample space which compose the event.

c. Design and use a simulation to generate frequencies of compound events.

MAFS.7.RP.1.3 – Use proportional relationships to solve multi-step ratio and percent problems.  Examples: simple interest, tax, markups and markdowns, gratuities and commissions, fees, percent increase and decrease, percent error.

MAFS.7.EE.1.2 – Understand that rewriting an expression in different forms in a problem context can shed light on the problem and how the quantities in it are related. For example, a + 0.05a = 1.05a means that ”increase by 5%” is the same as ”multiply by 1.05.”

Learning Targets and Learning Criteria

Students will:

a.

  • explain orally and in writing the similarities and differences between single and compound event.

  • define compound probabilities as fractions of the sample space taken from.

     

    b.

  • read and create sample spaces as organized lists,tables, or tree diagrams to determine the probability of a compound event. c.

  • select the appropriate tools for a simulation for a compound event and use the data it generates to approximate the probability of an event.

  • explain orally and/or in writing how the simulation was selected, why it models a compound event and not a single event, the data it generated and how the probability was approximated.  For example, use random digits as a simulation tool to approximate the answer to the question: If 40% of donors have type A blood, what is the probability that it will take at least 4 donors to find one with type A blood?

    • use proportional reasoning to solve real-world ratio problems, including those with multiple steps.

    • use proportional reasoning to solve real-world percent problems, including those with multiple steps, such as markups, markdowns, commissions, and fees

    • solve percent problems when one quantity is a certain percent more or less than another.

    • recall conversion of percent’s from ratio to decimal to percent form.

    • solve percent of increase/decrease problems.

    • explain how an equivalent expression relates to the original situation problem

    • rewrite expressions to help analyze problems.

    • simplify expressions

    • translate situation problems to algebraic expressions

Classroom Activities

Standards Review Folders

FSA Practice Test

Math Space Tasks

Close Notes

Kahoot

Probability Model Simulation

Probability Experiment

Assignments Due

Monday & Tuesday

  • Warm-up – Compound Probability
  • Standards Review Folders p. 5 or 6
  • Probability Practice Sheets based on Standards
  • McDonald’s Toy Probability Simulation Plan
  • Percent Discount Worksheet – 8 problems

Wednesday – I-Ready Growth Checks and Tasks

Thursday & Friday

  • Probability Test
  • Percent Taxes, Tips, Commission
  • Percent Change in Price Worksheet
  • Math Space – Percent Practice
Additional Resources

Math Space E-Text and Workbook

Khan Academy Videos