lesson #2 - intro to ratios

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  • 8/11/2019 Lesson #2 - Intro to Ratios

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    RATIOS, UNIT RATES &

    PROPORTIONSVan Siclen Community Middle School

    Grade 6 Math

    Class 602/603/604/605

    Mr. E

    September 12, 2014

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    WWW.TINYURL/COM/VSCMATH36

    Todays Lesson Link!

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    DO NOW6 MINUTES

    Look at the figure on the right. What isthe area (in tiles)? What is the perimeter(in toothpicks)? Are there twice as manytoothpicks than tiles? Explain.

    Mr. E says that if there were 18toothpicks in this figure, there would betwice as many toothpicks than tiles. Ishe correct? Explain.

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    LESSON OVE

    Yesterday, we continued to practice

    area and perimeter using toothpicks

    and tiles. Today we will begin to learn

    about ratios.

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    RATIOSBASICS

    In math, a ratio is a relationship or comparison

    between two numbers or two things. This is

    expressed as (for example) a to b OR a:b.

    For example: There are 3 green circles and 4

    orange circles on the right. The ratio of green

    circles to orange circles is 3 to 4.

    Ratios can be written in 3 ways. We can write:

    3 to 4or

    3:4or

    What is orange green cthis ratio

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    4 M

    Look at the picture on the right.What is the ratio of red squares toblue squares? Write this ratio in 3ways. What is the ratio of bluesquares to red squares? Write thisratio in 3 ways.

    Look at the picture on the right.What is the ratio of yellow circles togreen circles? Write this ratio in 3ways. What is the ratio of greencircles to yellow circles? Write thisratio in 3 ways.

    Mr. Eare tbluesquaor in

    Mr. Eare amanthanhe c

    inco

    TRY IT!4 MINUTES

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    RATIOS BASICS 5 MINUTES

    Ratios can also come in the form of word problems.Look at the following problem:

    VSC Middle school has 5 times as many students asthere are teachers. Complete the ratio table below:

    Teachers Students

    1 5

    2 10

    3

    5

    7

    9

    - If the

    teacmanthere

    - If theteacmanthere

    - If theteacmanthere

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    RATIOS BASICS 5 MINUTES

    Can we find the number of teachers if we know howmany students there are?

    VSC Middle school has 5 times as many students asthere are teachers. Complete the ratio table below:

    Teachers Students

    1 5

    2 10

    3

    5

    7

    9

    - If stmth

    - If st

    mth

    - 40mth

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    HOMEWORK #4 DUE MONDAY SEPTEMBE

    VSC Middle School has twice as many girls than boys.

    Complete the ratio table below Answer the questions below and to the right.

    Boys Girls

    10

    12

    15

    36

    40

    44

    - If we are given the number of girls, can we find the number of boys? Whoperation should we use?

    - How many boys attend VSC if there are 1,000 girls?

    On the bawrite the r

    girls for earatio tableLine 1 :

    10 to ____10 : ______10/

    WWW.TINYURL.C