Adding and Subtracting
description
Transcript of Adding and Subtracting
Designed and Created by Leslie James Click the arrow to get started
Adding and Subtracting Fractions
Tutorials
Guided Practice
Quiz
Help !
Click to see the Program Objective
Equality
Adding fractions with LIKE Denominators
Changing denominators in fractions with UNLIKE Denominators
Changing numerators in fractions with UNLIKE denominators
Click on a topic!
Click to view Objective 1Main Menu
EqualityClick the box below to watch a video about
equality.
Click to continueMain Menu
Equality
Equality in Math is when two items (numbers, equations, fractions, etc.) are equal.
3 x 5 = 15
4 + 2 = 3 x 2
24 – 4 = 5 x 4Click to continueMain Menu
Equality
Click on a topic to see examples of equalities or take the Quiz
Equations
FractionsNumbers
Items
Take the QUIZ!
Main Menu Click here to see the objective
Examples of Equations that are Equal
2 + 3 = 3 + 2 (They both equal 5)
10 – 7 = 20 – 17 (They both equal 3)
6 x 6 = 4 x 9 (They both equal 36)
Equality MenuMain Menu
Examples of Numbers that are Equal
1,045 = 1,045
62 = 62
4 = 4
4,321,092 = 4,321,092
743 = 743
9,782 = 9,782
0 = 0
15 = 15
Equality MenuMain Menu
Examples of Items that are Equal
=
=
=
=
Equality MenuMain Menu
Examples of Fractions that are Equal
2
4
1
2=
3
4
6
8=
=
=
Equality MenuMain Menu
Equality Quiz
Are the following items equal?
ContinueMain Menu
Equality Quiz
4 x 3 = 6 + 6
Are they equal?
YES NO
GOOD! Click
Continue.
Sorry, these are equal. They both equal 12.
Continue
Equality Quiz
14 – 6 = 15 - 8
Are they equal?
YES NO
These are not equal. One
equals 8, and one equals 7.
These are NOT equal.
Continue
Equality Quiz
Are they equal?
YES NO
GOOD! Click
Continue
Sorry, these are equal. They both equal one half.
3
6=
1
2
Continue
Equality Quiz
Are they equal?
4,980,089 = 4,089,980
YES NO
Sorry, these are not equal.
Good! These are not equal. Click next!
Continue
Equality Quiz
Are they equal?
YES NO
GOOD!
Sorry, these are equal. They both equal one half.
2
3=
6
9
Equality Menu
Adding and Subtracting with Like Denominators
Click the box below to watch a video about adding and subtracting fractions
Click to continueMain Menu
Adding and Subtracting with Like Denominators
Here are the steps:1. Look at the two fractions. Do the denominators
match? If yes, keep going. If no, click here for steps for adding fractions with unlike denominators
2. Add or subtract the numerators (top numbers).
3. Slide the denominator into the answer. It stays the same.
4. You are finished. If done correctly, you should have an answer that has the same denominator as the two original fractions and the numerator should be the original numerators added or subtracted.
Try Some!Main Menu
Adding and Subtracting with Like Denominators
1
2
4
4+
1
2+
3
4
Add the numerators
(top numbers)
Keep the denominators
(bottom numbers)
the sameClick to ContinueMain Menu
Try one on your paper and check your answer
2
5
2
5+
4
5
Did you get the correct answer?
If yes, click Main Menu and choose where to
go next.
If no, click here and view the tutorial again
Main Menu Click here to see the objective
Changing denominators in fractions with
UNLIKE Denominators
Click the box below to watch a video about adding and subtracting fractions
Click to continueMain Menu
Changing denominators in fractions with UNLIKE Denominators
Now that you’ve watched the video about adding and subtracting fractions with different
denominators, let’s look at the steps.
Click to continueMain Menu Click here to see the objective
Changing denominators in fractions with UNLIKE Denominators
Step 1 – Find a common denominatorTo find a common denominator, you must find a number that is a multiple of both of
the denominators. The lowest one is usually the easiest to work with.
So, if you have the two denominators of 3 and 5 you must find a multiple that they
have in common.
Click to continueMain Menu Click here to see the objective
Changing denominators in fractions with UNLIKE Denominators
Think about the multiples of 3 and 5
3’s multiples – 3, 6, 9, 12, 15, 18, 21, 24, 27
5’s multiples – 5, 10, 15, 20, 25, 30, 35, 40
Which multiple(s) do they have in common?
Click to continueMain Menu Click here to see the objective
Changing denominators in fractions with UNLIKE Denominators
The multiple that they have in common is 15
3’s multiples – 3, 6, 9, 12, 15, 18, 21, 24, 27
5’s multiples – 5, 10, 15, 20, 25, 30, 35, 40
We have found a common denominator
Main Menu Click to continue
Changing numerators in fractions with UNLIKE denominators
Now that we have a common denominator, let’s change the numerators.
Main Menu Click to continue
1
3
1
5+
=
=
15
15
In order to change the numerator, you must find out what you multiplied the denominator by to
get the new denominator.
Click here to see the objective
Changing numerators in fractions with UNLIKE denominators
Now that we have a common denominator, let’s change the numerators.
Main Menu Click to continue
1
3
1
5+
=
=
15
15
Once you have found what you multiplied the denominator by to get the new denominator,
multiply the numerator by the same number.
X 5
X 3
X 5
X 3
5
3
Click to see the objective
Adding fractions with UNLIKE Denominators
Click to continue
TA DA! That’s all there is to it. Now you just add them together!
515
315
+
Don’t Forget!
Only add the numerators, the
denominators stay the same (15).
8
15Main Menu
Adding fractions with UNLIKE Denominators
Let’s try one more!
12
2
6+
=
=
First, find the common
denominator.
If you need help finding a common denominator click
here.
Main Menu Click to continueClick here to see the objective
Multiplication Chart
This can be helpful if you are having trouble finding a common denominator. Just find the two denominators along the left side and
trace across until you find a number they have in common.
ContinueMain Menu
Multiplication Chart
If you denominators are 2 and 6, just trace across the 2 and the 6 until you find the lowest number that they have in common.
Main Menu Click to Continue
Adding fractions with UNLIKE Denominators
Let’s try one more!
12
2
6+
=
=
Write down the common
denominator.
6
6
Adding fractions with UNLIKE Denominators
Let’s try one more!
1
2
2
6+
=
=
Figure out what you multiplied the
original denominator by to
get the new denominator.
If you need help finding a common denominator click
here.
Main Menu Click to continue
6
6
X 3
X 1
Click here to see the objective
Adding fractions with UNLIKE Denominators
Let’s try one more!
1
2
2
6+
=
=
Multiply the numerator by the
same thing.
If you need help finding a common
denominator click here.
Main Menu Click to continue
6
6
X 3
X 1
X 3
X 1
3
2
Click here to see the objective
Adding fractions with UNLIKE Denominators
Let’s try one more!
1
2
2
6+
=
=
Add or subtract.
Main Menu Click to continue
6
6
X 3
X 1
X 3
X 1
3
2
65
Click here to see the objective
5
6
Is the answer!!
Main MenuClick here to see the objective for this lesson
Guided Practice Menu
Like Denominators
Unlike Denominators
Click which topic you would like to work on
Main Menu
Guided Practice – Like Denominators
2
3
1
3+
Try to solve the following problem on your paper and
check your answers. If you get them wrong,
follow the steps to determine where you mistake was.
Do not click continue until you are
ready to check your answerClick here to see the objective
Guided Practice – Like Denominators
2
3
1
3+
3
3
Is this the answer that you got?
If yes, click here to try some more.
If no, click here to find your
mistake.
Main Menu
Guided Practice – Like Denominators
2
3
1
3+
3
First, check your denominators. Do
they match? If yes, then go ahead
and write that number in the
answer.
Click to Continue
Guided Practice – Like Denominators
2
3
1
3+
3
Second, add or subtract your numerators.
2 + 1 = 3So the answer is 3
3C
Click to Continue
If you are still having trouble with adding and subtracting with like
denominators, click here to go back and review the tutorial.
If you understand now where you made your mistake, click here to continue with the guided practice.
Main Menu
Guided Practice – Like Denominators
1
4
2
4+
Try to solve the following problem on your paper and
check your answers. If you get them wrong,
follow the steps to determine where you mistake was.
Do not click continue until you are
ready to check your answerClick here to see the objective
Guided Practice – Like Denominators
1
4
2
4+
3
4
Is this the answer that you got?
If yes, click here to try some more.
If no, click here to find your
mistake.
Main Menu
Guided Practice – Like Denominators
1
4
2
4+
4
First, check your denominators. Do
they match? If yes, then go ahead
and write that number in the
answer.
Click to ContinueMain Menu
Guided Practice – Like Denominators
1
4
2
4+
4
Second, add or subtract your numerators.
1 + 2 = 3So the answer is 3
4
Continue
If you are still having trouble with adding and subtracting with like
denominators, click here to go back and review the tutorial.
If you understand now where you made your mistake, click here to continue with the guided practice.
Main Menu
Guided Practice – Like Denominators
3
7
2
7+
Try to solve the following problem on your paper and
check your answers. If you get them wrong,
follow the steps to determine where you mistake was.
Do not click continue until you are
ready to check your answerClick here to see the objective
Guided Practice – Like Denominators
3
7
2
7+
5
7
Is this the answer that you got?
If yes, click here to try some more.
If no, click here to find your
mistake.
Main Menu
Guided Practice – Like Denominators
3
7
2
7+
7
First, check your denominators. Do
they match? If yes, then go ahead
and write that number in the
answer.
Click to Continue
Guided Practice – Like Denominators
3
7
2
7+
7
Second, add or subtract your numerators.
3 + 2 = 5So the answer is 5
7
Click to continue
If you are still having trouble with adding and subtracting with like
denominators, click here to go back and review the tutorial.
If you understand now where you made your mistake, click here to continue with the guided practice.
Main Menu
Guided Practice – Like Denominators
5
8
2
8+
Try to solve the following problem on your paper and
check your answers. If you get them wrong,
follow the steps to determine where you mistake was.
Do not click continue until you are
ready to check your answerClick here to see the objective
Guided Practice – Like Denominators
5
8
2
8+
7
8
Is this the answer that you got?
If yes, click here to try some more.
If no, click here to find your
mistake.
Main Menu
Guided Practice – Like Denominators
5
8
2
8+
8
First, check your denominators. Do
they match? If yes, then go ahead
and write that number in the
answer.
Click to Continue
Guided Practice – Like Denominators
5
8
2
8+
8
Second, add or subtract your numerators.
5 + 2 = 7So the answer is 7
8
Click to Continue
If you are still having trouble with adding and subtracting with like
denominators, click here to go back and review the tutorial.
If you understand now where you made your mistake, click here to continue with the guided practice.
Main Menu
Guided Practice – Like Denominators
3
6
1
6+
Try to solve the following problem on your paper and
check your answers. If you get them wrong,
follow the steps to determine where you mistake was.
Do not click continue until you are
ready to check your answerClick here to see the objective
Guided Practice – Like Denominators
3
6
1
6+
4
6
Is this the answer that you got?
If yes, click here to go back to the guided practice
menu.
If no, click here to find your
mistake.
Main Menu
Guided Practice – Like Denominators
3
6
1
6+
6
First, check your denominators. Do
they match? If yes, then go ahead
and write that number in the
answer.
Click to Continue
Guided Practice – Like Denominators
3
6
1
6+
6
Second, add or subtract your numerators.
3 + 1 = 4So the answer is 4
6
Click to Continue
If you are still having trouble with adding and subtracting with like
denominators, click here to go back and review the tutorial.
If you understand now where you made your mistake, click here to go back to the Guided Practice
Menu.
Main Menu
Guided Practice – Unlike Denominators
1
2
1
5+
Try to solve the following problem on your paper and
check your answers. If you get them wrong,
follow the steps to determine where you mistake was.
Do not click continue until you are
ready to check your answerClick here to see the objective
Guided Practice – Unlike Denominators
1
2
1
5+
7
10
Is this the answer that you got?
If yes, click here to try some more.
If no, click here to find your
mistake.
Main Menu
Guided Practice – Unlike Denominators
1
2
1
5+
First, check your denominators. Do they match? If no, you will need to find a common denominator. If you are having trouble finding
the common denominator, click here.
Click to Continue
The blue circles represent other common multiples, but we usually want the smallest one.
Click to continue
Guided Practice – Unlike Denominators
1
2
1
5+
The common denominator is 10.
Next you need to figure out what you multiply
the original denominator by to get the new
denominator.
10
=
=
10
10
X 5
X 2
Click to continueMain Menu
Guided Practice – Unlike Denominators
1
2
1
5+
Now multiply the original numerator by the same number that
you multiplied the original denominator by.
10
=
=
10
10
X 5
X 2
X 5
X 2
5
2
Click to ContinueMain Menu
Guided Practice – Unlike Denominators
1
2
1
5+
Now just add the numerators and keep the denominator the
same.
10
=
=
10
10
X 5
X 2
X 5
X 2
5
2
7
5 + 2 = 7
Click to ContinueMain Menu
If you are still having trouble with adding and subtracting with unlike
denominators, click here to go back and review the tutorial.
If you understand now where you made your mistake, click here to continue with the guided practice.
Main Menu
Guided Practice – Unlike Denominators
1
3
1
4+
Try to solve the following problem on your paper and
check your answers. If you get them wrong,
follow the steps to determine where you mistake was.
Do not click continue until you are
ready to check your answerMain Menu Click here to see the objective
Guided Practice – Unlike Denominators
1
3
1
4+
7
12
Is this the answer that you got?
If yes, click here to try some more.
If no, click here to find your
mistake.
Main Menu
Guided Practice – Unlike Denominators
1
3
1
4+
First, check your denominators. Do they match? If no, you will need to find a common denominator. If you are having trouble finding
the common denominator, click here.
Click to ContinueMain Menu
The blue circles represent other common multiples, but we usually want the smallest one.
Click to continue
Guided Practice – Unlike Denominators
1
3
1
4+
The common denominator is 12.
Next you need to figure out what you multiply
the original denominator by to get the new
denominator.
12
=
=
12
12
X 4
X 3
Click to ContinueMain Menu
Guided Practice – Unlike Denominators
1
3
1
4+
Now multiply the original numerator by the same number that
you multiplied the original denominator by.
12
=
=
12
12
X 4
X 3
X 4
X 3
4
3
Click to ContinueMain Menu
Guided Practice – Unlike Denominators
1
3
1
4+
Now just add the numerators and keep the denominator the
same.
12
=
=
12
12
X 4
X 3
X 4
X 3
4
3
7
4 + 3 = 7
Click to ContinueMain Menu
If you are still having trouble with adding and subtracting with unlike
denominators, click here to go back and review the tutorial.
If you understand now where you made your mistake, click here to continue with the guided practice.
Main Menu
Guided Practice – Unlike Denominators
3
4
1
7-
Try to solve the following problem on your paper and
check your answers. If you get them wrong,
follow the steps to determine where you mistake was.
Do not click continue until you are
ready to check your answerMain Menu Click here to see the objective
Guided Practice – Unlike Denominators
3
4
1
7-
12
Is this the answer that you got?
If yes, click here to try some more.
If no, click here to find your
mistake.
Main Menu
Guided Practice – Unlike Denominators
3
4
1
7-
First, check your denominators. Do they match? If no, you will need to find a common denominator. If you are having trouble finding
the common denominator, click here.
Click to ContinueMain Menu
The blue circles represent other common multiples, but we usually want the smallest one.
Click to Continue
Guided Practice – Unlike Denominators
3
4
1
7-
The common denominator is 28.
Next you need to figure out what you multiply
the original denominator by to get the new
denominator.
28
=
=
28
28
X 7
X 4
Click to ContinueMain Menu
Guided Practice – Unlike Denominators
3
4
1
7-
Now multiply the original numerator by the same number that
you multiplied the original denominator by.
28
=
=
28
28
X 7
X 4
X 7
X 4
21
4
Click to ContinueMain Menu
Guided Practice – Unlike Denominators
3
4
1
7-
Now just add the numerators and keep the denominator the
same.
28
=
=
28
28
X 7
X 4
X 7
X 4
21
4
17
21 – 4 = 17
Click to ContinueMain Menu
If you are still having trouble with adding and subtracting with unlike
denominators, click here to go back and review the tutorial.
If you understand now where you made your mistake, click here to continue with the guided practice.
Main Menu
Guided Practice – Unlike Denominators
7
12
1
3-
Try to solve the following problem on your paper and
check your answers. If you get them wrong,
follow the steps to determine where you mistake was.
Do not click continue until you are
ready to check your answerMain Menu Click here to see the objective
Guided Practice – Unlike Denominators
7
12
1
3-
3
12
Is this the answer that you got?
If yes, click here to try some more.
If no, click here to find your
mistake.
Main Menu
Guided Practice – Unlike Denominators
7
12
1
3-
First, check your denominators. Do they match? If no, you will need to find a common denominator. If you are having trouble finding
the common denominator, click here.
Click to ContinueMain Menu
The blue circles represent other common multiples, but we usually want the smallest one.
Click to Continue
Guided Practice – Unlike Denominators
7
12
1
3-
The common denominator is 12.
Next you need to figure out what you multiply
the original denominator by to get the new
denominator.
12
=
=
12
12
X 1
X 4
Click to ContinueMain Menu
Guided Practice – Unlike Denominators
7
12
1
3-
Now multiply the original numerator by the same number that
you multiplied the original denominator by.
12
=
=
12
12
X 1
X 4
X 1
X 4
7
4
Click to ContinueMain Menu
Guided Practice – Unlike Denominators
7
12
1
3-
Now just subtract the numerators and keep the denominator the
same.
12
=
=
12
12
X 1
X 4
X 1
X 4
7
4
3
7 – 4 = 3
Click to ContinueMain Menu
If you are still having trouble with adding and subtracting with unlike
denominators, click here to go back and review the tutorial.
If you understand now where you made your mistake, click here to continue with the guided practice.
Main Menu
Guided Practice – Unlike Denominators
6
7
5
8+
Try to solve the following problem on your paper and
check your answers. If you get them wrong,
follow the steps to determine where you mistake was.
Do not click continue until you are
ready to check your answerMain Menu Click here to see the objective
Guided Practice – Unlike Denominators
6
7
5
8+
Is this the answer that you got?
If yes, click here to return to the
Main Menu
If no, click here to find your
mistake.32
56
Guided Practice – Unlike Denominators
6
7
5
8+
First, check your denominators. Do they match? If no, you will need to find a common denominator. If you are having trouble finding
the common denominator, click here.
Click to continueMain Menu
The blue circles represent other common multiples, but we usually want the smallest one.
Click to Continue
Guided Practice – Unlike Denominators
6
7
5
8+
The common denominator is 56.
Next you need to figure out what you multiply
the original denominator by to get the new
denominator.
56
=
=
56
56
X 8
X 7
Click to ContinueMain Menu
Guided Practice – Unlike Denominators
6
7
5
8+
Now multiply the original numerator by the same number that
you multiplied the original denominator by.
56
=
=
56
56
X 8
X 7
X 8
X 7
48
35
Click to ContinueMain Menu
Guided Practice – Unlike Denominators
6
7
5
8-
Now just subtract the numerators and keep the denominator the
same.
56
=
=
56
56
X 8
X 7
X 8
X 7
48
35
13
48 - 35 = 13
Main Menu Click to Continue
If you are still having trouble with adding and subtracting with unlike
denominators, click here to go back and review the tutorial.
If you understand now where you made your mistake, click here to
go back to the Main Menu.
Quiz Menu
Like Denominators
Unlike Denominators
Mixed Questions
Main Menu
Quiz – Like Quiz – Like Denominators
Number you paper from 1 – 5 and solve the problem. At the end of the quiz the answers will be shown so that you can
grade your own quiz.
Ready? Click the light to begin.
Main Menu
Quiz – Like Denominators
3
5
1
5+
Main Menu
Quiz – Like Denominators
1
7
4
7+
Main Menu
Quiz – Like Denominators
1
2
1
2+
Main Menu
Quiz – Like Denominators
2
9
3
9+
Main Menu
Quiz – Like Denominators
4
9
3
9+
Main Menu Continue to answers
Quiz Answers – Like Denominators
1. 4
5
2. 5
7
3. 2
2
4. 5
9
5. 7
9
Main Menu Click to Continue
How many did you get correct?
All 5 – Click to go back to the Main Menu to try something different
3 or 4 – Click here to review Guided Practice
0,1,or 2 – Click here to review the Tutorial
Main Menu
Quiz – Like Quiz – Unlike Denominators
Number your paper from 1 – 5 and solve the problem. At the end of the quiz the answers will be shown so that you can
grade your own quiz.
Ready? Click the green light to begin.
Main Menu
Quiz – Unlike Denominators
3
4
1
5+
Main Menu
Quiz – Unlike Denominators
2
3
1
2+
Main Menu
Quiz – Unlike Denominators
4
7
3
4+
Main Menu
Quiz – Unlike Denominators
2
4
1
2+
Main Menu
Quiz – Unlike Denominators
1
5
3
8+
Main Menu Continue to answers
Quiz Answers – Unlike Denominators
1. 19
20
2. 7
6
3. 37
28
4. 4
4
5. 23
40
Main Menu Click to Continue
How many did you get correct?
All 5 – Click to go back to the Main Menu to try something different
3 or 4 – Click here to review Guided Practice
0,1,or 2 – Click here to review the Tutorial
Main Menu
Quiz – Like Quiz – Mixed Denominators
Number your paper from 1 – 5 and solve the problem. At the end of the quiz the answers will be shown so that you can
grade your own quiz.
Ready? Click the green light to begin.
Main Menu
Quiz – Mixed Denominators
3
4
1
8+
Main Menu
Quiz – Mixed Denominators
3
5
2
3+
Main Menu
Quiz – Mixed Denominators
1
4
2
4+
Main Menu
Quiz – Mixed Denominators
7
9
3
6+
Main Menu
Quiz – Mixed Denominators
7
9
1
9+
Main Menu Click to check your answers
Quiz Answers – Unlike Denominators
1. 7
8
2. 19
15
3. 3
4
4. 23
18
5. 8
9
Main Menu
How many did you get correct?
All 5 – Click to go back to the Main Menu to try something different
3 or 4 – Click here to review Guided Practice
0,1,or 2 – Click here to review the Tutorial
Main Menu
HELP MENU
Definitions
Symbols
Credits
Main Menu
DefinitionsClick on the word to see the definition
Denominator
Numerator
Fractions
Multiple
Main Menu Back to Help MenuObjective
Denominator
•The bottom number of a fraction
• The total number of parts that the item is divided into
4
8Definitions Menu
Numerator
•The top number of a fraction
• The number of parts of the whole
4
8Definitions Menu
Fraction•A whole that is broken into pieces
•Made up of a numerator and denominator
• Expressed as a/b
4
8Definitions Menu
Multiple
The count bys of a number.
Definitions Menu
SymbolsContinue to next page
Return to previous menu (not Main Menu)
Return to Main Menu
This button will let you view the objective
Return to Help MenuReturn to Main Menu
There is a sound on the page
This button allows you to continue to the next page of the quiz.
Credits
Created by Leslie James for the Virginia Tech ITMA Program. This project is for the course “Multimedia
Authoring”.
All of the clip art came from Microsoft Clip Art. Except for the Hokie clip art which came from footballfanatics.com
Return to Main Menu
Objective
What it is that the user is expected to learn
What the user is supposed to be able to do after using this program
You can view the objective for the lesson by clicking on the
button.
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Objective
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Program Objective:
Given paper and pencil and/or manipulatives, students will be able to add and subtract fractions with like and unlike denominators to an accuracy of
80% or better.
Objective
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Objective 1:
Given examples of adding and subtracting fractions problems, students will determine if they need to change the denominators before adding/subtracting
to an accuracy of 80%.
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Objective 1.1Given pairs of fractions, students will identify if the fractions have like
or unlike denominators, to an accuracy of 100%. Objective 2.1
Given addition and subtraction problems with like denominators, students will correctly add together the numerators, to an accuracy of 100%.
Objective 2.2Given addition and subtraction problems with like denominators, students will correctly place the denominator in the solution, to an
accuracy of 100%. Objective 2.0
Given addition and subtraction problems with like denominators, students will correctly solve, to an
accuracy of 100%.
Objective 3.0
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Given an addition/subtraction problem with unlike denominators, students will correctly change the fractions so that both denominators
are the same, to an accuracy of 80% or better.
Objective 3.1
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Using paper and pencil, students will correctly list multiples of
numbers 1-12, to an accuracy of 80% or better.
Objective 3.2
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Using paper and pencil, students will correctly record the
common denominator, to an accuracy of 100%.
Objective 3.1a
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Given many different examples of numbers, items, and equations, students will identify the equalities and
inequalities, to an accuracy of 80% or better.
Objective 4.0
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After correctly changing the denominators of fractions, students will successfully change the numerator to match
the denominator, to an accuracy of 80% or better.
Objective 4.1
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After correctly changing the denominators of the fractions, students will correctly multiply the original numerator by
the same number that the denominator was multiplied by, to an accuracy of 80 % or better.
Objective 4.2
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After correctly changing the numerators in the fractions, students will record those new numerators above the
denominators, to an accuracy of 80 % or better.
Objective 5.0
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After changing the numerators and denominators, students will correctly add and subtract the fractions,
to an accuracy of 80% or better.
So why do we need to learn this stuff??
There are many reasons why it is useful to learn to add and subtract fractions.
Some examples of when you may use these skills are when you are cooking, building, drawing (blueprints or maps), measuring, splitting something into pieces,
and many many other examples!
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So why do we need to learn this stuff??
So besides being able to use these skills in numerous different types of activities, adding and subtracting fractions is also useful when you are trying
to solve certain word problems and certain real life problems.
For example:
I bought a pizza with 8 slices. 3/8 of them were eaten, how many slices are left?
I bought ½ gallon of milk and my daughter drink ¼ of it, how much is left?
The recipe calls for ¼ cup of white sugar and ¼ cup of brown sugar. How much sugar is needed in all?
I am supposed to drink 8 ½ cups of water a day and 1 ¼ cups of milk a day. How much fluid is that in all?
You can solve all sorts of problems with adding and subtracting fractions!! Click to Continue
Before we begin…
Let’s think about what we already know about adding fractions.
Pretend you have 2/8 of a pizza (two slices out of 8). Someone decided to give you another piece. How many pieces have you eaten? You may have solved this problem in real life. 2/8 + 1/8 = 3/8
Now pretend that you have a cake that is cut into 12 equal pieces. At the party 7 pieces are eaten. How many pieces are left?
What if you needed to buy paint. Each item that you needed to paint needed ¼ pint of paint. A container of paint holds one pint. You need to paint 4 items. How many containers of paint will you need?See, you already may know how to solve some
of these problems!
Before we begin…
Let’s think about what we already know about adding fractions.
Pretend you are baking a cake. You need 1/3 cup of flour and then later you need another ½ cup. How much flour will we need in all?
Now pretend that you have a cake that is cut into 12 equal pieces. At the party ¼ of the cake is eaten. How many pieces are left?
What if you needed to buy paint. Each item that you needed to paint needed ¼ pint of paint. A container of paint holds one pint. You need to
paint 6 items. How many containers of paint will you need?
You may have encountered situations like these in real life. You may have also developed strategies to use to help you solve these problems. If you have that is great! They will help you when you learn to add and subtract fractions. If you have not been able to figure these out on
your own, don’t worry, the tutorial will teach you some strategies.