day 2 math, distributive property

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    1.2 The Distributive Property

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    Daily Objective

    Fred ordersd

    Do Now

    Common Core Math Standard

    AZ-7.EE.1:Apply properties of operations as strategies to add, subtract, factor, and expand

    linear expressions with rational coefficients

    Jenni always works three times as many hours as Scott. If Scott works his typical 4 hours

    on Monday and twice that amount on Tuesday, how many hours does Jenni work over

    the same time period?

    What is the question asking?

    What do I need to know first?

    How will that help me answer the question?

    By the end of the lesson, I will be able to ______________________________________

    _______________________________________________________________________

    _______________________________________________________________________

    ** How Can I Use This? **

    Mr. Walker and a friend sell candy bars for a fundraiser over a span of three days. Mr.Walker sold the same number of bars each day, but doesnt remember how many candybars he sold. His friend sold four bars every day. How many bars did they sell?

    3(x + 4) = 3x + 12

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    1.2 The Distributive Property

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    Essential Vocabulary

    Teacher Model1. Example 1

    2. Example 2

    Distributive

    Property

    Product

    Variable

    Coefficient

    Multiplying with Variables Using the Distributive Property

    (3) (2x) = 3(2x + 5) =

    (4) (2x) = 4(2x + 3) =

    (2) (x) = 2(x + 6) =

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    1.2 The Distributive Property

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    Steps for the Distributive Property

    Multiplying with Variables

    Simplify the expression by multiplying the constant with the variable term.

    1. (3) (8x) = 2. (2) (x) = 3. (4) (4x) =

    1. (6) (3x) = 2. (2) (9x) = 3. (5) (x) =

    Distributive Property

    Simplify the expression by multiplying both inside terms by the outside

    term.

    1. 7(2x + 8) = 2. 5(3x + 4) =

    3. 3(5x + 2) = 4. 2(4x + 1) =

    5. 4(6x + 3) = 6. 6(x + 9) =

    1. Determine what the question is asking

    2.Multiply the outside number with both of the inside numbers

    a. Multiply the outside number with the first term

    b. Multiply the outside number with the second term

    3. Simplify the expression (if possible)

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    1.2 The Distributive Property

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    Guided Practice

    Simplify the expression by multiplying both inside terms by the outside

    term.

    1. 4(x + 3) = 2. 2(3x + 7) =

    3. 7(7x + 1) = 4. 5(2x + 6) =

    5. 8(5x + 1) = 6. 9(x + 8) =

    7. 7(8x + 2) = 8. 4(5x + 7) =

    9. 2(6x + 4) = 10. 8(x + 2) =

    11. 9(2x + 2) = 12. 5(x + 1) =

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    1.2 The Distributive Property

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    Partner Practice

    Simplify the expression by multiplying both inside terms bythe outside

    term.

    1. 9(2x + 4) = 2. 5(6x + 9) =

    3. 7(3x + 1) = 4. 8(4x + 5) =

    5. 4(5x + 2) = 6. 9(x + 7) =

    7. 7(8x + 2) = 8. 3(x + 7) =

    9. 2(6x + 7) = 10. 6(5x + 2) =

    11. 2(9x + 1) = 12. 5(x + 1) =

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    1.2 The Distributive Property

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    Check for Understanding

    Demonstrate what you have learned by solving the problems below. Youmay refer back to your notes.

    Simplify the expression by multiplying both inside terms by the outsideterm.

    1. 3(5x + 8) = 2. 2(x + 6) =

    Whats Wrong With This?

    Look at the mistakes below and answer the questions to the right

    Reviewing the Objective

    Problem 1

    5(3x + 2) = 8x + 10 (What went wrong? What is the correct answer?)

    Problem 2

    3(x + 4) = 3x + 4 (What went wrong? What is the correct answer?)

    Today, I am able to _________________________________________________

    __________________________________________________________________

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    1.2 The Distributive Property

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    Independent Practice

    Work independently and silently on the problems below. If you have any

    questions, refer to your notes and follow the procedures outlined in them.

    This is why we take detailed notes!

    Simplify the expression by multiplying both inside terms by the outside

    term.

    1. 5(3x + 9) = 2. 9(x + 2) =

    3. 4(4x + 2) = 4. 7(7x + 8) =

    5. 6(5x + 2) = 6. 3(x + 1) =

    7. 2(9x + 1) = 8. 3(x + 9) =

    9. 6(7x + 6) = 10. 2(3x + 1) =

    11. 9(8x + 1) = 12. 2(x + 2) =

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    1.2 The Distributive Property

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    Independent Practice

    Work independently and silently on the problems below. If you have any

    questions, refer to your notes and follow the procedures outlined in them.

    This is why we take detailed notes!

    Simplify the expression by multiplying both inside terms by the outside

    term.

    1. 2(3x + 8) = 2. 9(2x + 4) =

    3. 5(6x + 2) = 4. 7(x + 1) =

    5. 3(7x + 3) = 6. 8(2x + 9) =

    7. 6(3x + 8) = 8. 6(8x + 4) =

    9. 5(4x + 2) = 10. 7(5x + 1) =

    11. 4(x + 3) = 12. 5(x + 9) =

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    1.2 The Distributive Property

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    Daily Review Sheet

    This page is for you to keep in your binder and is to be worked on when you are finished

    with the daily notes packet. It counts as a grade. Itwill serve as an overview of the days

    lesson and is a quick reference for use on weekly quizzes.

    Part 1: Objective(review the daily objective)

    _____________________________________________________________

    _____________________________________________________________

    Part 2: Vocabulary(define the words from todays lesson)

    Distributive Property:

    Product:

    Variable:

    Coefficient:

    Part 3: Check for Understanding (apply your understanding of the Distributive Property)

    1. Are the expressions 2(x + 1) and 2x + 2 equivalent (equal) expressions?

    Explain.

    Part 4: Example Problems (solve the problems)

    1. 3(x + 5) 2. 6(2x + 4)

    Part 5: Review Word Problem (Write a mathematical expression and solve)

    1. Mr. Walker watches TV every day. Two days ago he watched 5 movies and4 TV shows. Yesterday he watched 2 movies and 6 TV shows. Write a

    mathematical expression that represents how many movies m and TV shows t

    that he watched. Solve the expression.