Download 5th_MA_NS_2.1_2.2_DIVIDE_DECIMALS_DW

Name ______________________
L ea rn i n g Obj e cti v e
Today, we will divide decimal numbers.
CFU
What are we going to do today?
Acti va t e ( o r p r o vi de ) P ri o r K n o wl edg e
Long division is a process used to divide numbers.



The quotient is the answer to a division problem.
The dividend is the number being divided.
The divisor is the number we divide by.
Long Division
quotient
divisor dividend
Identify each part of the long division problem below.
1.
14
7 98
7
28
28
0
Quotient __________
Dividend __________
Divisor ___________
2.
12
8 96
8
16
16
0
Quotient __________
Dividend __________
Divisor ___________
CFU
Students, you already know the parts of a long division problem. Today, we will use this skill to divide
decimal numbers.
DataWORKS Educational Research
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Comments? [email protected]
5th Grade Number Sense 2.1/2.2 (7Q/3Q)
Add, subtract, multiply, and divide with decimals; add with negative
integers; subtract positive integers from negative integers; and
verify the reasonableness of the results. Demonstrate proficiency with division,
including division with positive decimals and long division with multidigit divisors.
Lesson to be used by EDI-trained teachers only.
Co n c e pt D ev el opm e n t
To divide is to separate a number into equal groups.
To divide decimal numbers, the problem must be in long division form.
• To begin long division, the divisor must be a whole number.
• If the divisor is a decimal number, move the decimal point to the
right until it becomes a whole number.
 The decimal point in the dividend will move
the same number of places.
Dividing Decimal Numbers
Dividing $3.75 between 3 friends
Dividing a 7.2 ft rope into 0.6 ft pieces
1.25
12
3 3.75
0.6 7.2
The divisor is a whole number.
We can begin long division.
6. 72.
The divisor is NOT a whole number.
Move the decimal point one place.
CFU
Which situation below can we use division to solve? How do you know?
A sharing 28 marbles equally between 4 friends
B counting 4 bags of marbles containing 7 in each bag
Which is the correct long division form of 27.6 ÷ 3? How do you know?
A 27.6 3
B
3 27.6
In which problem can we begin long division? Why are the others not ready?
A 0.7 16.1
B 1.1 2.64
DataWORKS Educational Research
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C 4 37.2
5th Grade Number Sense 2.1/2.2 (7Q/3Q)
Add, subtract, multiply, and divide with decimals; add with negative
integers; subtract positive integers from negative integers; and
verify the reasonableness of the results. Demonstrate proficiency with division,
including division with positive decimals and long division with multidigit divisors.
Lesson to be used by EDI-trained teachers only.
Ski l l Dev el o p m en t /G u i ded P ra cti c e
To divide is to separate a number into equal groups.
To divide decimal numbers, the problem must be in long
division form.
• To begin long division, the divisor must be a whole number.
Divide decimal numbers.
Step #1: Change the problem into long division form, if needed.
Step #2: Move the decimal point in the divisor to change it to a whole number, if needed.
a. Move the decimal point in the dividend the same number of places.
Step #3: Divide decimal numbers.
Hint: Use basic steps for division: divide, multiply, subtract, and bring down.
Step #4: Put a decimal point in the quotient directly above the decimal point in the dividend.
1. 19.5 ÷ 3
2. 9.8 ÷ 7
3.
4.
. .
0 6 7 56
. .
0 5 8 65
CFU
(#2) How did I/you change the divisor into a whole number?
(#3) How did I/you divide the decimal numbers?
(#4) How did I/you know where to put the decimal point in the quotient?
DataWORKS Educational Research
(800) 495-1550 • www.dataworks-ed.com
©2012 All rights reserved.
Comments? [email protected]
5th Grade Number Sense 2.1/2.2 (7Q/3Q)
Add, subtract, multiply, and divide with decimals; add with negative
integers; subtract positive integers from negative integers; and
verify the reasonableness of the results. Demonstrate proficiency with division,
including division with positive decimals and long division with multidigit divisors.
Lesson to be used by EDI-trained teachers only.
Ski l l Dev el o pm en t /G u i ded P ra cti c e ( c on t i n u ed)
To divide is to separate a number into equal groups.
To divide decimal numbers, the problem must be in long
division form.
• To begin long division, the divisor must be a whole number.
Divide decimal numbers.
Step #1: Change the problem into long division form, if needed.
Step #2: Move the decimal point in the divisor to change it to a whole number, if needed.
a. Move the decimal point in the dividend the same number of places.
Step #3: Divide decimal numbers.
Hint: Use basic steps for division: divide, multiply, subtract, and bring down.
Step #4: Put a decimal point in the quotient directly above the decimal point in the dividend.
5.
.
.
6.
0 0 3 5 8 11
7.
.
0 0 2 12.76
8.
. .
1 1 2 64
. .
1 2 2 76
CFU
(#2) How did I/you change the divisor into a whole number?
(#3) How did I/you divide the decimal numbers?
(#4) How did I/you know where to put the decimal point in the quotient?
DataWORKS Educational Research
(800) 495-1550 • www.dataworks-ed.com
©2012 All rights reserved.
Comments? [email protected]
5th Grade Number Sense 2.1/2.2 (7Q/3Q)
Add, subtract, multiply, and divide with decimals; add with negative
integers; subtract positive integers from negative integers; and
verify the reasonableness of the results. Demonstrate proficiency with division,
including division with positive decimals and long division with multidigit divisors.
Lesson to be used by EDI-trained teachers only.
Rel e va n c e
To divide is to separate a number into equal groups.
To divide decimal numbers, the problem must be in long division form.
• To begin long division, the divisor must be a whole number.
1. Dividing decimal numbers will help you find more precise1 answers.
1 exact
Juan bought 5.2 pounds of almonds. He
shared them equally with his sister. How
many pounds of almonds did they each get?
They each got
2.6 pounds of almonds.
2.6
2 5.2
4
12
1 2
0
2. Dividing decimal numbers will help you do well on tests.
Sample Test Question
21. 15.12 ÷ 2.4
A
B
C
D
0.513
0.63
5.13
6.3
CFU
Does anyone else have another reason why it is relevant to divide decimal numbers? (pair-share) Why is it
relevant to divide decimal numbers? You may give me one of my reasons or one of your own. Which
reason is more relevant to you? Why?
DataWORKS Educational Research
(800) 495-1550 • www.dataworks-ed.com
©2012 All rights reserved.
Comments? [email protected]
5th Grade Number Sense 2.1/2.2 (7Q/3Q)
Add, subtract, multiply, and divide with decimals; add with negative
integers; subtract positive integers from negative integers; and
verify the reasonableness of the results. Demonstrate proficiency with division,
including division with positive decimals and long division with multidigit divisors.
Lesson to be used by EDI-trained teachers only.
To divide is to separate a number into equal groups.
To divide decimal numbers, the problem must be in long
division form.
• To begin long division, the divisor must be a whole number.
Ski l l Cl osu r e
Divide decimal numbers.
Step #1: Change the problem into long division form, if needed.
Step #2: Move the decimal point in the divisor to change it to a whole number, if needed.
a. Move the decimal point in the dividend the same number of places.
Step #3: Divide decimal numbers.
Hint: Use basic steps for division: divide, multiply, subtract, and bring down.
Step #4: Put a decimal point in the quotient directly above the decimal point in the dividend.
1. 8.4 ÷ 6
2.
. .
0 4 6 84
Co n st ru ct e d R e sp on s e Cl o su r e
Victor is cutting a 12.5 cm piece of string into pieces that are 2.5 cm.
Explain why division would help him find the number of pieces he is able to cut.
__________________________________________________________
__________________________________________________________
__________________________________________________________
Su mm ar y Cl o su r e
What did you learn today about dividing decimal numbers?
Day 1 _______________________________________________________________
_______________________________________________________________
Day 2 _______________________________________________________________
_______________________________________________________________
DataWORKS Educational Research
(800) 495-1550 • www.dataworks-ed.com
©2012 All rights reserved.
Comments? [email protected]
5th Grade Number Sense 2.1/2.2 (7Q/3Q)
Add, subtract, multiply, and divide with decimals; add with negative
integers; subtract positive integers from negative integers; and
verify the reasonableness of the results. Demonstrate proficiency with division,
including division with positive decimals and long division with multidigit divisors.
Lesson to be used by EDI-trained teachers only.
Name ___________________
In d ep en d en t P ra cti c e
To divide is to separate a number into equal groups.
To divide decimal numbers, the problem must be in long
division form.
• To begin long division, the divisor must be a whole number.
Divide decimal numbers.
Step #1: Change the problem into long division form, if needed.
Step #2: Move the decimal point in the divisor to change it to a whole number, if needed.
a. Move the decimal point in the dividend the same number of places.
Step #3: Divide decimal numbers.
Hint: Use basic steps for division: divide, multiply, subtract, and bring down.
Step #4: Put a decimal point in the quotient directly above the decimal point in the dividend.
1. 34.5 ÷ 5
2.
.
0 6 9.06
3.
4.
0.04 7.424
DataWORKS Educational Research
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©2012 All rights reserved.
Comments? [email protected]
.
1 2 3.24
5th Grade Number Sense 2.1/2.2 (7Q/3Q)
Add, subtract, multiply, and divide with decimals; add with negative
integers; subtract positive integers from negative integers; and
verify the reasonableness of the results. Demonstrate proficiency with division,
including division with positive decimals and long division with multidigit divisors.
Lesson to be used by EDI-trained teachers only.
Name ______________________
P eri odi c R evi ew 1
To divide is to separate a number into equal groups.
To divide decimal numbers, the problem must be in long
division form.
• To begin long division, the divisor must be a whole number.
Divide decimal numbers.
Step #1: Change the problem into long division form, if needed.
Step #2: Move the decimal point in the divisor to change it to a whole number, if needed.
a. Move the decimal point in the dividend the same number of places.
Step #3: Divide decimal numbers.
Hint: Use basic steps for division: divide, multiply, subtract, and bring down.
Step #4: Put a decimal point in the quotient directly above the decimal point in the dividend.
1.
. .
2.
.
5.
0 7 9 17
4.
.
0 0 5 8 71 5
DataWORKS Educational Research
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©2012 All rights reserved.
Comments? [email protected]
.
92  0 8 =
.
94 2  20 =
3.
.
6 7 2
6.
. .
1 4 4 76
5th Grade Number Sense 2.1/2.2 (7Q/3Q)
Add, subtract, multiply, and divide with decimals; add with negative
integers; subtract positive integers from negative integers; and
verify the reasonableness of the results. Demonstrate proficiency with division,
including division with positive decimals and long division with multidigit divisors.
Lesson to be used by EDI-trained teachers only.
Name ______________________
P eri odi c R evi ew 2
To divide is to separate a number into equal groups.
To divide decimal numbers, the problem must be in long
division form.
• To begin long division, the divisor must be a whole number.
Divide decimal numbers.
Step #1: Change the problem into long division form, if needed.
Step #2: Move the decimal point in the divisor to change it to a whole number, if needed.
a. Move the decimal point in the dividend the same number of places.
Step #3: Divide decimal numbers.
Hint: Use basic steps for division: divide, multiply, subtract, and bring down.
Step #4: Put a decimal point in the quotient directly above the decimal point in the dividend.
1.
. .
2.
1 3 4 03
4.
0 4 5 68
5.
.
78 5  25 =
DataWORKS Educational Research
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©2012 All rights reserved.
Comments? [email protected]
. .
3.
.
58 5
6.
.
87  0 6 =
.
.
0 0 6 9 7 32
5th Grade Number Sense 2.1/2.2 (7Q/3Q)
Add, subtract, multiply, and divide with decimals; add with negative
integers; subtract positive integers from negative integers; and
verify the reasonableness of the results. Demonstrate proficiency with division,
including division with positive decimals and long division with multidigit divisors.
Lesson to be used by EDI-trained teachers only.
Name ______________________
P eri odi c R evi ew 3
To divide is to separate a number into equal groups.
To divide decimal numbers, the problem must be in long
division form.
• To begin long division, the divisor must be a whole number.
Divide decimal numbers.
Step #1: Change the problem into long division form, if needed.
Step #2: Move the decimal point in the divisor to change it to a whole number, if needed.
a. Move the decimal point in the dividend the same number of places.
Step #3: Divide decimal numbers.
Hint: Use basic steps for division: divide, multiply, subtract, and bring down.
Step #4: Put a decimal point in the quotient directly above the decimal point in the dividend.
1.
2.
.
70  0 4 =
79 1
4.
.
.
0 0 3 5 373
DataWORKS Educational Research
(800) 495-1550 • www.dataworks-ed.com
©2012 All rights reserved.
Comments? [email protected]
.
3.
5.
. .
0 6 7 86
. .
1 2 5 64
6.
.
97 2  15 =
5th Grade Number Sense 2.1/2.2 (7Q/3Q)
Add, subtract, multiply, and divide with decimals; add with negative
integers; subtract positive integers from negative integers; and
verify the reasonableness of the results. Demonstrate proficiency with division,
including division with positive decimals and long division with multidigit divisors.
Lesson to be used by EDI-trained teachers only.