Lesson #19 - Dividing Fractions by Fractions

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    The Number SystemDay 3VAN SICLEN COMMUNITY MIDDLE SCHOOL

    MR. EGRADE 6 MATHEMATICS

    CLASS 602/603/604/605

    OCTOBER 31, 2014

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    www.tinyurl.com/vscmath57

    TODAYS LESSON LINK!

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    Do Now5 minutes

    A) How many1

    miles are in 5

    miles? Use a model.

    Mr. E ate 6 strawberry cupcakes.

    this is

    of the number of strawber

    cupcakes he made, how manycupcakes did he make in all? Usea model.

    6 is

    of _________.

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    Lesson Overview

    So far in Unit 2, we have beencovering a good amount of topicsat a good pace!

    We have covered fractionsdivided by a whole number andwhole numbers divided byfractions, and how to rewrite theseproblems as multiplication!

    Visual models are VERYhelpful forthese types of questions. Pleaseuse them if you are having trouble!

    Today we will learn about dividingfractions by fractions using visualmodels!

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    More Models. 2.5 minutes

    Draw a model to represent 15 3. This can be done in more thanone way!

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    15 3

    3

    PWn(tag

    Measurement DWe have a tonumber (15) anare forming gro5. How many grof 5 can we for

    5

    How can we re-word this

    question?2 minutes

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    Dividing Fractions by Fractions5 min

    What is

    ? Take a minute to use what you know about division to

    create a modelto represent this division problem.

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    Hint: Another way to think of this question is to say How many

    a

    ?

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    How many

    are in

    ?

    2

    7

    2

    7

    2

    7

    I can see that we have 3 groups of

    in

    , so the answer is 3.

    There are three

    s in

    . This is the same as 6 2 to get 3.

    6

    7

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    Lets Try Again. 5 min

    What is

    ? Take a minute to think about the last question, and

    use what you know about division to create a modelto solve thisquestion.

    Remember: We are dividing

    by

    .

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    How many

    are in

    ?

    2

    9

    2

    9

    2

    9

    I can see that we have 4 groups of

    in

    , so the answer is 4.

    There are four

    s in

    . This is the same as 8 2 to get 4.

    8

    9

    2

    9

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    Lets Try Again. 5 min

    What is

    ? Take a minute to think about the last question, and

    use what you know about division to create a modelto solve thisquestion.

    Remember: We are dividing

    by

    .

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    How many

    are in

    ?

    3

    9

    Uh oh Mr. E.. What nowis a remainder of 1.

    I can see that we have 2 whole groups of

    in

    , but there is 1

    piece remainingHow do we represent the remainder?

    7

    9

    3

    9

    Answer: This is 1 out of 3 pieces we need to make another

    . So the

    remainder is1

    . This means that

    = 2

    1

    . This is the same as 7 3.

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    A Different look at 7 3.

    One group of 3 Another group of 3 1 out of 3 that weneed to makeanother group of

    3. So this is1

    .

    7 3 is 21

    .

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    Dividing Fractions by Fractions3 minute

    A) How many fourths are in three-fourths? Draw a model to support your an

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    Dividing Fractions by Fractions10 minut

    Solve the following questions by drawing a model.

    A) 45

    5

    B)

    4

    4

    C)

    D)1

    10

    10

    E)11

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    HomeworkDue Monday Nov 3, 20

    Solve the following questions by drawinga model.

    A)15

    4

    4

    B)

    5

    5

    C)

    D)

    4

    4