Transcript Grade 5 Module 1 Lesson 15

Grade 5 Module 1 Lesson 15
Sprint
Multiply by Exponents
Find the Quotient
0.48 ÷ 2 ___
(On your place value chart, draw 48 hundredths
in number disks.)
Find the Quotient
0.48 ÷ 2 ___
48 hundredths ÷ 2 = ___ hundredths
Find the Quotient
0.48 ÷ 2 ___
48 hundredths ÷ 2 = 24 hundredths =
____ tenths ____ hundredths
Find the Quotient
0.48 ÷ 2 ___
48 hundredths ÷ 2 = 24 hundredths =
2 tenths 4 hundredths
Now solve using the standard algorithm
Find the Quotient
0.42 ÷ 3 ___
(On your place value chart, draw 42 hundredths
in number disks.)
Find the Quotient
0.42 ÷ 3 ___
42 hundredths ÷ 3 = ___ hundredths
Find the Quotient
0.42 ÷ 3 ___
42 hundredths ÷ 3 = 14 hundredths =
___ tenths ___ hundredths
Find the Quotient
0.42 ÷ 3 ___
42 hundredths ÷ 3 = 14 hundredths =
1 tenth 4 hundredths
Find the Quotient
0.42 ÷ 3 ___
42 hundredths ÷ 3 = 14 hundredths =
1 tenth 4 hundredths
Now solve using the standard algorithm.
Application Problem
Jose bought a bag of 6 oranges for $2.82. He
also bought 5 pineapples. He gave the cashier
$20 and received $1.43 change. What did each
pineapple cost?
Application Problem
Jose bought a bag of 6 oranges for $2.82. He
also bought 5 pineapples. He gave the cashier
$20 and received $1.43 change. What did each
pineapple cost?
$2.82
Oranges
?
5 pineapples
$1.43
Change
= $20
Application Problem
Jose bought a bag of 6 oranges for $2.82. He
also bought 5 pineapples. He gave the cashier
$20 and received $1.43 change. What did each
pineapple cost?
$2.82
Oranges
?
5 pineapples
$1.43
= $20
Change
$20 - $2.82 - $1.43 = Pineapples
Application Problem
Jose bought a bag of 6 oranges for $2.82. He
also bought 5 pineapples. He gave the cashier
$20 and received $1.43 change. What did each
pineapple cost?
$2.82
Oranges
?
5 pineapples
$1.43
Change
$20 - $2.82 - $1.43 = $15.75
= $20
Application Problem
?
?
?
?
?
= $15.75
Application Problem
?
?
$15.75 ÷ 5 =
?
?
?
= $15.75
Application Problem
?
?
?
?
?
= $15.75
$15.75 ÷ 5 = $3.15 for each pineapple
Concept Development
1.7 ÷ 2
Show 1.7 on your place value chart by drawing
number disks.
Concept Development
1.7 ÷ 2
Show 1.7 on your place value chart by drawing
number disks.
Let’s begin with our largest units. Can 1 one be
divided into 2 groups?
Concept Development
1.7 ÷ 2
Show 1.7 on your place value chart by drawing
number disks.
Let’s begin with our largest units. Can 1 one be
divided into 2 groups?
No
Each group gets how many ones?
Concept Development
1.7 ÷ 2
Show 1.7 on your place value chart by drawing
number disks.
Let’s begin with our largest units. Can 1 one be
divided into 2 groups?
No
Each group gets how many ones?
Zero ones
Concept Development
1.7 ÷ 2
Unbundle it or exchange it for 10 tenths.
Draw that unbundling and tell me how many
tenths we have now.
Concept Development
1.7 ÷ 2
Unbundle it or exchange it for 10 tenths.
Draw that unbundling and tell me how many
tenths we have now.
17 tenths
Concept Development
1.7 ÷ 2
Unbundle it or exchange it for 10 tenths.
Draw that unbundling and tell me how many
tenths we have now.
17 tenths
17 tenths divided by 2. How many tenths can
we put in each group?
Concept Development
1.7 ÷ 2
Unbundle it or exchange it for 10 tenths.
Draw that unbundling and tell me how many
tenths we have now.
17 tenths
17 tenths divided by 2. How many tenths can
we put in each group?
8 tenths
Concept Development
1.7 ÷ 2
Cross then off as you divide them into our 2
equal groups.
How many tenths did we share in all?
Concept Development
1.7 ÷ 2
Cross then off as you divide them into our 2
equal groups.
How many tenths did we share in all?
16 tenths
Explain to your partner why we are subtracting
the 16 tenths.
Concept Development
1.7 ÷ 2
Cross then off as you divide them into our 2
equal groups.
How many tenths did we share in all?
16 tenths
Explain to your partner why we are subtracting
the 16 tenths.
How many tenths are left?
Concept Development
1.7 ÷ 2
Cross then off as you divide them into our 2 equal
groups.
How many tenths did we share in all?
16 tenths
Explain to your partner why we are subtracting the
16 tenths.
How many tenths are left?
1 tenth
Concept Development
1.7 ÷ 2
Is there a way for us to keep sharing? Turn and
talk
Concept Development
1.7 ÷ 2
Is there a way for us to keep sharing? Turn and
talk.
You unbundle the 1 tenth to make 10
hundredths.
Now that we have 10 hundredths, can we divide
this between our 2 groups? How many
hundredths are in each group?
Concept Development
1.7 ÷ 2
Now that we have 10 hundredths, can we divide
this between our 2 groups? How many
hundredths are in each group?
Let’s cross them off as you divide them into 2
equal groups.
How many hundredths did we share in all?
Concept Development
1.7 ÷ 2
Now that we have 10 hundredths, can we divide
this between our 2 groups? How many hundredths
are in each group?
Let’s cross them off as you divide them into 2 equal
groups.
How many hundredths did we share in all?
10 hundredths
How many hundredths are left?
Concept Development
1.7 ÷ 2
Now that we have 10 hundredths, can we divide
this between our 2 groups? How many hundredths
are in each group?
Let’s cross them off as you divide them into 2 equal
groups.
How many hundredths did we share in all?
10 hundredths
How many hundredths are left?
Zero hundredths
Concept Development
1.7 ÷ 2
Do we have any other units that we need to
share?
Concept Development
1.7 ÷ 2
Do we have any other units that we need to
share?
No
Tell me the quotient in unit form and in standard
form.
Concept Development
1.7 ÷ 2
Do we have any other units that we need to
share?
No
Tell me the quotient in unit form and in standard
form.
0 ones 8 tenths 5 hundredths; 85
hundredths;0.85
Concept Development
2.6 ÷ 4
Concept Development
17 ÷ 4
Concept Development
22 ÷ 8
Concept Development
7.7 ÷ 4
Concept Development
0.84 ÷ 4
Problem Set
Do your personal best to complete the problem
set.
Lesson Objective
Divide decimals using place value
understanding, including remainders in the
smallest unit.
Lesson Objective
Which division strategy do you find more
efficient? Drawing number disks or the
algorithm?
Lesson Objective
Will a whole number divided by a whole number
always result in a whole number?