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BUNDLE: Intro to Probability & Theoretical Probability LESSONS, PACKETS, KEYS

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Higher Math Made Simple
29 Followers
Grade Levels
9th - 12th
Standards
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Pages
32 pages
$6.75
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$6.75
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Higher Math Made Simple
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Products in this Bundle (2)

    Also included in
    1. ➤ LESSON 1: Intro to probability full 2 to 3-day GUIDED-NOTES lesson packet, 40 total exercises (can be used as classwork and/or homework), notes and step-by-step answer keys. What is the Fundamental Counting Principle? Definition and connection to Sample Space and Tree Diagrams. What is permutation
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    Description

    LESSON 1: Intro to probability full 2 to 3-day GUIDED-NOTES lesson packet, 40 total exercises (can be used as classwork and/or homework), notes and step-by-step answer keys. What is the Fundamental Counting Principle? Definition and connection to Sample Space and Tree Diagrams. What is permutation vs. combination, and when do we use them? Students learn what a factorial is through flawless connections to fundamental counting principle and permutations, and how to simplify factorials without using calculators. Students learn the difference, and how to use the permutation and combination formulas as well as how to use on calculators. Students also learn permutations with duplicate items (repetition).

    LESSON 2: Theoretical Probabilities - Probability of an Event P(E), Independent vs. Dependent Events formulas, difference between a probability With vs. Without Replacement, formulas of probability for the Union and Complement of an event. Finding theoretical probabilities using tree diagrams, sample space, and fundamental counting principle to help. Examples include topics of dice, coins, marbles, deck of cards, and much more!

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    See my next lesson: Expected Value

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    11-Page PRETEST [Research-Based]

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    INCLUDED:

    ✫ Step-by-step answer keys with notes to EVERYTHING!

    ✫ Calculator tutorials

    2 Fully scaffolded guided-lesson packets [12 pages total] which also include a total of 70 exercises using both formulas & the calculator for Fundamental Counting Principle, permutations and combinations problems

    3-page packed independent work packet (31 problems)

    2-page Homework worksheet (18 problems)

    STUDENTS WILL BE ABLE TO:

    ➤ Know all definitions, formulas, and calculator skills (factorial, permutations and combinations)

    ➤ Know what a sample space is in connection to a Tree Diagram and Fundamental Counting Principle

    ➤ Find the number of ways a group of objects can be arranged

    ➤ Find the number of ways to choose several objects from a group where order does not matter

    ➤ How to find permutations of duplicate or repeated items

    ➤ Make deep connections

    ➤ Apply the formula for a Probability of an Event P(E)

    ➤ Apply the formula for a Union of an Event

    ➤ Apply the formula for an Independent (with replacement) vs. Dependent (without replacement) Event

    ➤ Apply the formula for a Complement of an Event

    ➤ Use a Tree Diagram and Sample Space to determine a probability of an event

    ➤ Know the contents in a deck of cards with pictures to help them remember

    Total Pages
    32 pages
    Answer Key
    Included
    Teaching Duration
    1 Week
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    Standards

    to see state-specific standards (only available in the US).
    Describe events as subsets of a sample space (the set of outcomes) using characteristics (or categories) of the outcomes, or as unions, intersections, or complements of other events (“or,” “and,” “not”).
    Understand that two events 𝘈 and 𝘉 are independent if the probability of 𝘈 and 𝘉 occurring together is the product of their probabilities, and use this characterization to determine if they are independent.
    Understand the conditional probability of 𝘈 given 𝘉 as 𝘗(𝘈 and 𝘉)/𝘗(𝘉), and interpret independence of 𝘈 and 𝘉 as saying that the conditional probability of 𝘈 given 𝘉 is the same as the probability of 𝘈, and the conditional probability of 𝘉 given 𝘈 is the same as the probability of 𝘉.
    Find the conditional probability of 𝘈 given 𝘉 as the fraction of 𝘉’s outcomes that also belong to 𝘈, and interpret the answer in terms of the model.
    Apply the Addition Rule, 𝘗(𝘈 or 𝘉) = 𝘗(𝘈) + 𝘗(𝘉) – 𝘗(𝘈 and 𝘉), and interpret the answer in terms of the model.

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