Try Another ProblemAs part of their study of Native American basket weavingLia's class is making wicker baskets. Lia starts with a stripof wicker 36 inches lonig, From the strip, she first cuts onepiece but does not know its length, and then cuts a piecethat is 6 inches long. The piece left is 7 inches long, Whatis the length of the first piece she cut from the strip?Read the Problem ngt e oWhat do I need to find?What information do IHow will I use theneed to use?information?6.5msido o bosob noilsenenierwSa o boonCheit od basorts oau I liw woknoitommoniSolve the Problemconsta noesbni o boule vbesnis evenvertsi sver yod nuoemeloor oMATHEMATICAL PRACTICESinches.Math TalkWhat other strategySo, the length of the first piece cut wascould you use to solve theproblem?278Chapter 6 NameAdd and SuhtMATHEMANCAL Model• ReacNameProblem SolvingPROBLEM SOLVINGLesson 6.4Practice Addition and SubtractionCOMMON CORE STANDARD CCS.NF.2Essential Question How can the strategy work backward help you solvea problem with fractions that involves addition and subtraction?Use equivalent fractions as a strategy to add andsubtract fractionsidd andA UNLOCK the ProblemREALWORLDThe Diaz family is cross-country skiing the Big Tree trails,which have a total length of 4 miles. Yesterday, they skiedthe to mile Oak Trail. Today, they skied the mile Pine Trail.If they plan to ski all of the Big Tree trails, how many moremiles do they have left to ski?Use the graphic organizer to help you solve the problem.Read the ProblemWhat information do Ineed to use?How will I use theinformation?What do I need to find?I can work backward by startingI need to find the distanceI need to use the distancewith theeach distanceandthey have already skied to findamount they have left.and the total distanceSolve the ProblemAddition and subtraction are inverse operations. By working backward andusing the same numbers, one operation undoes the other.So, M• Then work backward to find m.• Write an equation.1. Explamiles skiedyesterdaymiles skiedtodaymiles theyneed to skitotal= mdistance= m4So, the family hasmiles left to ski.• Explain how you know your answer is reasonable.Chapter 6blishing CompanyHarcourt Publishir

Try Another Problem As part of their study of Native American basket weaving, Lia's class is making wicker baskets. Lia starts with a strip of wicker 36 inches long. From the strip, she first cuts one piece but does not know its length, and then cuts a piece that is 6 inches long. The piece left is 7 inches long, What is the length of the first piece she cut from the strip? Read the Problem What do I need to find? What information do I How will I use the need to use? information? Sfvle insidov sl Thet od ortt sau I llivw wok fnoitommonil Lob noitenelni ert boon Solve the Problem conl nos MATHEMATICAL PRACTICES inches. Math Talk What other strategy So, the length of the first piece cut was Company

Try Another Problem As part of their study of Native American basket weaving, Lia's class is making wicker baskets. Lia starts with a strip of wicker 36 inches long. From the strip, she first cuts one piece but does not know its length, and then cuts a piece that is 6 inches long. The piece left is 7 inches long, What is the length of the first piece she cut from the strip? Read the Problem What do I need to find? What information do I How will I use the need to use? information? Sfvle insidov sl Thet od ortt sau I llivw wok fnoitommonil Lob noitenelni ert boon Solve the Problem conl nos MATHEMATICAL PRACTICES inches. Math Talk What other strategy So, the length of the first piece cut was Company

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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Question

Try Another Problem
As part of their study of Native American basket weaving
Lia's class is making wicker baskets. Lia starts with a strip
of wicker 36 inches lonig, From the strip, she first cuts one
piece but does not know its length, and then cuts a piece
that is 6 inches long. The piece left is 7 inches long, What
is the length of the first piece she cut from the strip?
Read the Problem ngt e o
What do I need to find?
What information do I
How will I use the
need to use?
information?
6.5
msido o bos
ob noilsenenierw
Sa o boon
Cheit od bas
orts oau I liw wok
noitommoni
Solve the Problem
consta noes
bni o boule vbesnis evenvert
si sver yod nuoe
meloor o
MATHEMATICAL PRACTICES
inches.
Math Talk
What other strategy
So, the length of the first piece cut was
could you use to solve the
problem?
278
Chapter 6

Name
Add and Suht
MATHEMANCAL Model• Reac
Name
Problem Solving
PROBLEM SOLVING
Lesson 6.4
Practice Addition and Subtraction
COMMON CORE STANDARD CCS.NF.2
Essential Question How can the strategy work backward help you solve
a problem with fractions that involves addition and subtraction?
Use equivalent fractions as a strategy to add and
subtract fractions
idd and
A UNLOCK the Problem
REAL
WORLD
The Diaz family is cross-country skiing the Big Tree trails,
which have a total length of 4 miles. Yesterday, they skied
the to mile Oak Trail. Today, they skied the mile Pine Trail.
If they plan to ski all of the Big Tree trails, how many more
miles do they have left to ski?
Use the graphic organizer to help you solve the problem.
Read the Problem
What information do I
need to use?
How will I use the
information?
What do I need to find?
I can work backward by starting
I need to find the distance
I need to use the distance
with the
each distance
and
they have already skied to find
amount they have left.
and the total distance
Solve the Problem
Addition and subtraction are inverse operations. By working backward and
using the same numbers, one operation undoes the other.
So, M
• Then work backward to find m.
• Write an equation.
1. Expla
miles skied
yesterday
miles skied
today
miles they
need to ski
total
= m
distance
= m
4
So, the family has
miles left to ski.
• Explain how you know your answer is reasonable.
Chapter 6
blishing Company
Harcourt Publishir

Expert Solution

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Introduction:

It is given that Lia starts with a strip 36 inches long, she cuts one piece of which she does not know the length then she cuts a piece of $6 \frac{1}{2}$ inches and she is left with a piece that is $7 \frac{3}{4}$ inches.

So let the unknown strip be x.

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