Lesson #4 - Ratio Language & Equivalent Ratios

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  • 8/11/2019 Lesson #4 - Ratio Language & Equivalent Ratios

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    RATIOS, UNIT RATES &

    PROPORTIONSDAY 3Van Siclen Community Middle School

    Grade 6 Math

    Class 602/603/604/605

    Mr. E

    September 16, 2014

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    TODAYS LESSON LINK!

    WWW.TINYURL.COM/VSCMATH3

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    DO NOW6 MINUTES

    1) Look at the table on the right. Mr. E says

    that there are 2 times as many boys asthere are girls. Mr. Campbell says thereare 3 times as many boys as there aregirls. Who is correct? Explain.

    Girls Boys T

    4 12

    5 15

    7 21

    2) Mr. E wanted to write a ratio of thenumber of TURKISH candies to the

    number of Kit Kat candies in the candystore He wrote 2:6 Is he correct? Explain.

    3) Use ratio language to describe ratiorelationship between the triangles onthe right.

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    TIMES TABLES PRACTICE! (2, 3, 4 & 5

    4 x 1 = 4

    4 x 2 = 8

    4 x 3 = 12

    4 x 4 = 16

    4 x 5 = 20

    4 x 6 = 24

    4 x 7

    4 x 8

    4 x 9

    4 x 1

    4 x 1

    4 x 1

    3 x 1 = 3

    3 x 2 = 6

    3 x 3 = 9

    3 x 4 = 12

    3 x 5 = 15

    3 x 6 = 18

    3 x 7 = 21

    3 x 8 = 24

    3 x 9 = 27

    3 x 10 = 30

    3 x 11 = 33

    3 x 12 = 36

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    LESSON OVERVIEW

    A _____________ is a comparison between two numbers or thin

    Yesterday, we learned about using ratio language to describratios. For example, if we compared the wallpapers in the cla

    can say: For every 3 green wallpapers, there are 3 pink wallp

    Today we will learn about equivalent ratios.

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    Mr. E and Mr. Campbell are usingstring to create a math project. Theratio of the length of Mr. Es string tothe length of Mr. Campbells string is7 to 3. Can you sketch a drawing torepresent this ratio? Can we draw atable to represent this ratio?

    If so, how many units draw for Mr. Es part o

    How many units shouMr. Campbells part o

    We dont know how much each unit of the tapediagram represents. What if each unit represented 1inch. What would be the length of Mr. Es part of the

    string? Mr. Campbells?

    What is the ratio of the ribbons?

    What if each unit represented 2inches. What would be the length

    of the ribbons?

    What is the ratio of the leMr. Es string to the length

    Campbells string now?

    Ratios Continued

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    = 7:3

    2 2 2 2 2 22 = 14:622 2

    = ?3 3 3 3 3 3 3 333

    What do these 3 ratios have in common?3 minu

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    EQUIVALENT RATIOS PART I5 MINUTES

    Mr. E and Mr. Campbell createmath problems for VSC Math. Theratio of the number of problems Mr.E creates to the number ofproblems Mr. Campbell creates is 2to 3.

    If Mr. E creates 4 problemany problems does Mcreates? Sketch a moddiagram) to show how

    List 2 other ratios equivalent to 2:3.

    Sketch/model oneof them.

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    EQUIVALENT RATIOS PART II5 MINUTES

    Mr. E and Mr. Campbell createmath problems for VSC Math. Theratio of the number of problems Mr.E creates to the number ofproblems Mr. Campbell creates is 2to 3.

    If Mr. Campbell createproblems, how many pdoes Mr. E create? Ske(tape diagram) to showknow

    List 2 other ratios equivalent to 2:3.

    Sketch/model oneof them.

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    EQUIVALENT RATIOS PART III7 MINUTES John took a long multiple-choice

    test at the end of the year. The ratio

    of the number of problems John gotincorrect to the number of problemshe got correct is 2:5.

    If John got 8 incorrect, questions did he get rig

    Use a tape diagram to you found your answer

    If he missed 20 questions, how many

    did he get right? Can you come up

    with another ratio to show the ratio

    of how many questions John gotwrong to the number of questions he

    got right? How did you find the

    numbers?

    Can your grou desc

    create equivalent ra

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    Homework #6Due September 17, 2014 - Proble