lesson #41 - relationship of addition & subtraction

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  • 8/9/2019 Lesson #41 - Relationship of Addition & Subtraction

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    Expressions and

    Equations Day 1Van Siclen Community Middle School

    Mr. E Grade 6 Mathematics

    Class 60!60"!60#!60$

    %anuary 6& 01$

  • 8/9/2019 Lesson #41 - Relationship of Addition & Subtraction

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    '''.tinyurl.com!(scmath)

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    Do *o' $ Minutes

    +or questions , and -& ind theGreatest Common +actor /GC+ o

    the t'o numers and 'rite anequi(alent expression usin2 the

    distriuti(e property3

    , #41)

    - #$45

    Mr. E 'ants to plot the ollo'in2

    ordered pairs on a 2raph3

    /#0& 6

    /10&

    /0& 1$

    /"0& #

    7hat 'ould e a 2ood scale or the x8

    axis o his 2raph9

    7hat 'ould e a 2ood scale or the y8

    axis o his 2raph9

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    :esson ;(er(ie' 7elcome to the irst day o

    expressions and equations.. minutes

    redict 'hat 'ill happen you ha(e a tape dia2ram 'ith a lar2e numer o

    squares. Some o the squares are remo(ed& and then the same amount o squaresare added ac? on.

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    Gi(e Mr. E a *umer< /*o lar2er than 10

    , Expression3

    Fo' many should Mr. E remo(e9

    - Expression3

    ,ddin2 ac? the same amount>.. C Expression3

    D 7hat is the (alue o this expression9 Did the (alue chan2e9

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    =ry your o'n>.. # minutes

    -uild a tape dia2ram 'ith 10 squares.

    emo(e 6 squares. 7rite do'n a expression to represent the tape dia2ram.

    ,dd six squares onto the tape dia2ram. e8'rite the ori2inal expression to

    represent the current tape dia2ram.

    E(aluate /ind the (alue o the expression.

    7hat eect did remo(in2 6 squares then addin2 6 squares ha(e on the numer o

    squares9 7as there any eect9

    7hat i @ as?ed you to add 00 squares to the 10 squares you started 'ith& and

    then sutract 00 squares. Do 'e need to add and remo(e the squares to ?no'

    'hat the result 'ill e9 7hy!ho' do you ?no'9

    7hat do you notice aout the expressions 'e created 'ith the tape dia2rams9

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    sin2 Variales>. " minutes

    Can your 2roup 'rite an equation usin2 (ariales to represent 'hat 'e Hustdemonstrated 'ith tape dia2rams9

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    +ill in each o the lan?s $ minutes

    , # 4 $ 8 IIIIII J #

    - $ 8 IIIIII 4 10 J $

    C IIIIII 4 16 16 J #$

    D $6 0 4 0 J IIIIIII

    , a 4 8 IIIIIII J a

    - c d 4 d J IIIIIIII

    C e 4 IIIIIIII 8 J e

    D IIIIIIII 8 h 4 h J 2

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    ;(er(ie'

    @n e(ery expression 'e 'rotetoday& 'hy did the inal (alue o

    the expression equal the initialexpression9

    @ 'e add an amount and then sutract the same amount& does thischan2e the outcome9

    @ 'e sutract an amount and then add the same amount& does thischan2e the outcome9

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    Fome'or?