math-g6-m1-topic-a-lesson-2-student.docx
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Lesson 2 6•1NYS COMMON CORE MATHEMATICS CURR ICULUM
This work is licensed under aCreative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License. Thi s work is derived rom !ureka "ath # and licensed b$ % reat "inds. &'0() %r eat"inds. eureka-math.or* This +le derived rom %,-"(-T!-(.3.0-0 .'0()
S.5Lesson 2: atios
Lesson 2: Ratios
Classwo !
E"e #ise 1
Come up with two e/amples o ratio relationships that are interestin* to $ou.
(.
'.
E"$lo ato % C&allen'e
A T-shirt manu acturin* compan$ surve$ed teena*e *irls on their avorite T-shirt color to *uidethe compan$ s decisions about how man$ o each color T-shirt the$ should desi*n andmanu acture. The results o the surve$ are shown here.
(a)o ite T*S&i t Colo s o+ Teena'e ,i ls S- )e%e
111 1
1 1 1 11 1 1 1 11 1 1 1 1 1
1 1 1 1 1 1 1ed 2lue %reen hite 4ink 5ran*e 6ellow
E"e #ises +o E"$lo ato % C&allen'e
( 7escribe a ratio relationship8 in the conte/t o this surve$8 or which the ratio is 3 : 5 .
3. 9or each ratio relationship *iven8 +ll in the ratio it is describin*.
/es# i$tion o+ t&e Ratio Relations&i$0Un e line o &i'&li'&t t&e wo s o $& ases t&at in i#ate t&e es# i$tion is a atio.
Ratio
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Lesson 2 6•1NYS COMMON CORE MATHEMATICS CURR ICULUM
This work is licensed under aCreative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License. Thi s work is derived rom !ureka "ath # and licensed b$ % reat "inds. &'0() %r eat"inds. eureka-math.or* This +le derived rom %,-"(-T!-(.3.0-0 .'0()
S.6Lesson 2: atios
9or ever$ 7
white T-shirts the$ manu acture8 the$ should manu acture 4
$ellow T-
shirts. The ratio o the number o white T-shirts to the number o $ellow T-shirts shouldbe :
9or ever$ 4 $ellow T-shirts the$ manu acture8 the$ should manu acture 7 white T-
shirts. The ratio o the number o $ellow T-shirts to the number o white T-shirts shouldbe :
The ratio o the number o *irls who liked a white T-shirt best to the number o *irls wholiked a colored T-shirt best was :
9or each red T-shirt the$ manu acture8 the$ should manu acture 4
blue T-shirts. The
ratio o the number o red T-shirts to the number o blue T-shirts should be :
The$ should purchase 4 bolts o $ellow abric or ever$ 3 bolts o oran*e abric.
The ratio o the number o bolts o $ellow abric to the number o bolts o oran*e abric
should be : The ratio o the number o *irls who chose blue or *reen as their avorite to the numbero *irls who chose pink or red as their avorite was :
Three out o ever$26
T-shirts the$ manu acture should be oran*e. The ratio o the
number o oran*e T-shirts to the total number o T-shirts should be :
;. 9or each ratio *iven8 +ll in a description o the ratio relationship it could describe8 usin* theconte/t o the surve$.
/es# i$tion o+ t&e Ratio Relations&i$
0Un e line o &i'&li'&t t&e wo s o $& ases t&at in i#ate %o- e"a $le is a atio.Ratio
4 to
3
3 : 4
19:7
7 to
26
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Lesson 2 6•1NYS COMMON CORE MATHEMATICS CURR ICULUM
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S.3Lesson 2: atios
4 o le Set
( Usin* the e wrote 1: 3 . 7id 2ill$ write the ratio correctl$? !/plain $our answer.
Lesson S- a %
atios can be written in two wa$s@ A to B or A : B .
e describe ratio relationships with words8 such as to 8 for each 8 for every .
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