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Metode 3 ud af 4.
Se først filmen 'At dividere i hånden - Se her først'
Brøk divideret med en brøk. Regneregler for division af brøk med en brøk
#matematikerlet
#hjælptilmatematik
#brøkregning
#brøker
Ballonmetoden er en super god og meget let måde at dividere på. Lær metoden ved at se denne video.
De tre forskellige metoder af division, som man oftest arbejder med i Folkeskolen.
Metode 1. "Den lange"
Long division er lige præcis det. Langt!
Det er fordi den laver ALLE trin, og viser det med udregning. HVER gang man finder en rest, så viser man det ved et minusstykke.
Fordelen er, at man bliver rigtig god til at overskue alle trinene og at man nemt kan se sine fejl efterfølgende.
Ulempen er selvfølgelig at det tager enoooormt lang tid at lave.
Appen Long Division Touch træner denne metode:
https://itunes.apple.com/dk/app/long-division-touch/id574226151?l=da&mt=8
2. Metode er den populære "Slikkepindsmetode".
Denne er blevet meget populær de sidste par år, og dens overskuelighed gør, at den ofte bliver den som eleverne har nemmest ved.
Fordelen er selvfølgelig dette, hvor ulempen er, at man bliver nød til at kunne udregne 'resten' i hovedet for at kunne føre den ned til næste horisontale række.
3. metode er ikke så brugt, men deler førstepladsen med metode to i overskuelighed.
Den er renskuret for alt for mange regnestykker, og resten noteres vha. en overførsel som eleven kender fra plus og minusstykker.
Den kan enddog bruges i udskolingen når eleverne skal til at reducere større algebra udsagn.
Der er ingen af de tre metoder som er "mere rigtig" end de andre.
Vælg den som du har nemmest ved - og hold dig til den.
Og husk endelig at øve den og holde den ved lige - også selvom det er ferie ;)
0:00 Præsentation
0:15 1. Metode 'Den Lange Division'
2:38 2. Metode 'Slikkepind / Ballon Metoden'
4:06 3. Metode 'Brøken'
En introduktion til division, Hvordan dividere man.
Gratis matematik opgaver til video'en:
http://matematikerlet.dk/opgav....er/division/Introduk
Facitliste til video'en:
http://matematikerlet.dk/opgav....er/division/Introduk
#matematikerlet
#hjælptilmatematik
#gratismatematikopgaver
#dividere
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If you prefer to read, rather than watch this video, here’s the transcript:
Title: Rewriting Fractions with Common Denominator: One a Factor of the Other
You already know how to rewrite fractions with a different denominator using the product of the denominators as the common denominator. In this lesson, you’ll learn another method of finding a common denominator that can be used occasionally.
Here’s an example. One-half and three-eighths. In this case, notice that the denominator of the first fraction, 2, is a factor of the second denominator, 8.
Let’s look at what happens when we add these fractions on the number line.
We can add these on the number line for halves by putting them back to back like this.
We see that the end of the combined fractions does not fall on one of the lines for a half.
But now let’s add these on the other number line.
Now, the end of the combined fractions does fall on one of the lines for an eighth.
This means that we can add these fractions using eighths, so eight is a common denominator for these two fractions.
When a common denominator is one of the denominators for one of the fractions, there is no need to rewrite one of the fractions. In this case, we don’t need to rewrite three eighths. We do need to rewrite the other fraction like this.
So this fraction becomes four-eighths.
Another example. Four-thirds and five-sixths. In this example, 3 is a factor of 6, so the common denominator for these fractions is 6. Because the common denominator is 6, we don’t need to rewrite the fraction five-sixths, but we do need to rewrite four-thirds with the common denominator of 6.
So, now we have eight-sixths and five-sixths.
Another example. In this case, the first denominator, 3, is not a factor of the other denominator, 8. This means the common denominator is not one of the denominators of the two fractions. One common denominator is the product of 3 and 8, or 24. In this case, both fractions would need to be rewritten with a common denominator of 24.
This gives us eight twenty-fourths and 18 twenty-fourths.
Last example. Five-fourths and nine-sixteenths. Here, four is a factor of 16, so the common denominator is 16. That means nine-sixteenths is not rewritten, but five-fourths must be rewritten as an equivalent fraction with a denominator of 16.
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If you prefer to read, rather than watch this video, here’s the transcript:
Title: Improper Fractions as Mixed Numbers With Number Line
In this lesson, you will learn how to rewrite an improper fraction as a mixed number. Let's start with the improper fraction seven-thirds.
How many whole units does seven-thirds make? Two.
And how many parts are left over? One.
Write the left over part as a fraction.
Seven-thirds can be rewritten as two and one-third.
Let's look at a few more examples. We start with the improper fraction fourteen-thirds.
How many whole units does fourteen-thirds make? Four.
And two parts are left over.
Write the left over part as a fraction.
Fourteen-thirds can be rewritten as four and two-thirds.
Let's take a look at one final example. We start with the improper fraction three-halves.
How many whole units does three-halves make? One.
And one part is left over. Remember to write the left over part as a fraction.
Three-halves can be rewritten as one and one-half.
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If you prefer to read, rather than watch this video, here’s the transcript:
Title: Equivalent Fractions: Rewriting With Smaller Denominator - Fast And Easy Math Learning Videos
You already know that when you find an equivalent fraction with a larger denominator it’s called expanding the fraction. In this lesson you’re going to learn how to find an equivalent fraction with a smaller denominator.
This is called reducing the fraction.
For example, suppose we want to find a fraction that’s equivalent to six-eighths but has a denominator of 4. We can do this using the number line.
First we find six-eighths on the number line.
There are eight parts in each whole unit, and six parts are counted. So this fraction represents six eighths on the number line. Since we want our equivalent fraction to have a denominator of 4, we want each whole unit to have 4 parts instead of 8. We’ll show this on another number line, like this.
Each unit is divided into four parts.
When we compare the number line we see that each fourth here is the same size as two eighths here.
So each fourth of a unit represents 2 eighths of a unit. Now let’s look at the parts that are counted in the fraction six eighths.
When we show the same fraction on the line for fourths, we have only 3 total parts representing the fraction.
Since there are half as many parts in each whole, there are half as many parts counted. In other words, we have divided the numerator and denominator of our original fraction by the same number. In this case, we divided by 2.
This gives us four in the denominator and 3 in the numerator. Since the point on the number line is the same after dividing by 2 the fractions are equivalent. So, six-eights can be reduced and rewritten as the equivalent fraction three-fourths.
Now let’s look at an example without using the number line. In this case, we want to reduce the fraction nine-fifteenths by writing it with a denominator of 5.
First, we want to determine which number we need to divide the original denominator, 15, by to get the new denominator, 5
We know that 15 divided by 3 is 5.
So, we also divide the numerator by 3 to get an equivalent fraction.
9 divided by 3 equals 3.
So the fraction nine-fifteenths can be rewritten as the equivalent fraction - three-fifths.
In this case, we say that the fraction nine-fifteenths is reduced to three fifths. The number represented by the fraction is still the same, but the numerator and denominator are both smaller numbers.
One last example. Here we want to reduce three-twelfths to an equivalent fraction with a denominator of 4.
First, we find the number we need to divide 12 by to get 4.
We know that 12 divided by 3 is 4, so we divide the numerator by 3 also.
Three divided by 3 equals 1, so the numerator of the reduced fraction is 1.
The fraction three-twelfths is reduced to the equivalent fraction one-fourth.
In the remainder of this lesson you’ll practice reducing fractions like these.
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If you prefer to read, rather than watch this video, here’s the transcript:
Title: What is the bottom number of a fraction - Fast And Easy Math Learning Videos
In this lesson, you will begin to learn about fractions. Fractions are used to describe the PARTS of whole units. A fraction is written like this:
In this lesson, you'll learn about the BOTTOM number of a fraction.
To create a fraction we divide a whole unit into equal parts. The BOTTOM number of a fraction tells us the number of equal parts in each whole unit. Here's an example. This box is one whole unit. We'll divide the box into four equal parts...
Since the parts are equal each part is a fraction of the whole unit. There are four equal parts in all, so the BOTTOM number of each fraction is four.
In this example there are three whole units.
One.
Two.
Three.
Each whole unit is exactly the same size. When whole units are the same size we can divide them into fractions. Each of these whole units is still divided into four equal parts.
Here’s another way of looking at the equal parts of whole units or fractions. There are six whole units and each whole unit is divided into two equal parts. We can put the whole units together like this.
Each whole unit is now a line instead of a box. The tallest line show the beginning and end of each whole unit.
We’ve just created a number line. A number line is another way to show fractions which are just equal parts of whole units.
Notice this arrow.
The arrow points to one of the fractions on the number line.
You’ll learn to write the name for fractions like this. For this lesson you will ONLY write the BOTTOM number of the fraction.
In this example there are two equal parts in each whole unit.
So the bottom number for this fraction, is two
Here’s a different fraction on the same number line.
Each whole unit is still divided into two equal parts so the bottom number for this fraction is also two.
Here’s another example. There are FOUR parts in each whole unit, so the bottom number for this fraction is four.
The bottom number for this fraction is also 4.
And the bottom number for this fraction is also 4. For any fraction on this number line the bottom number will always be four since each whole unit has four equal parts.
In the remainder of this lesson you will write the bottom number for the fraction shown by the arrow on a number line like these.
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If you prefer to read, rather than watch this video, here’s the transcript:
Title: Fractions: Numerator and Denominator - Fast And Easy Math Learning Videos
In this lesson, you will learn some fraction terminology. The top number is the numerator. For this fraction, one is the numerator.
And the bottom number is the denominator. Two is the denominator.
The bar between the numerator and denominator is called a fraction bar
Let's look at a few examples of numerators and denominators.
For this fraction, the numerator is three
And the denominator is four.
Let's extend what you've learned about the numerator and denominator. The numerator, the top number, shows how many parts are counted.
In this example, seven parts are counted, so the numerator is seven.
The denominator, the bottom number, shows the number of parts in each whole unit.
There are two parts in each whole unit, so the denominator is two.
In this example, eleven parts are counted, so the numerator is eleven, and there are five parts in each whole unit.
So, the denominator is five.
Here, the numerator is nine and the denominator is three.
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This video is one of over 800 similar lessons from iLearn on math topics ranging from kindergarten through high school math.
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1-877-789-2088 ext. 128 (toll free)
If you prefer to read, rather than watch this video, here’s the transcript:
Title: Introduction to Fractions: The Top Number - Fast And Easy Math Learning Videos
In this lesson, you will learn about the top number of a fraction. The top number of a fraction shows us how many parts are counted. Watch the red line as the parts are counted.
Nine parts are counted.
In the previous lesson, you learned that the bottom number of a fraction tells how many parts are in each whole unit.
Here, each whole unit has two parts.
Let's look at another example.
Six parts are counted and there are three parts in each whole unit.
Last one. Here, only one part is counted, and there are three parts in each whole unit.
Now try some on your own.
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Lesson Title: Fraction Illustration
File: Interactive Math PowerPoint presentation
Grades: 2-3
Comparing Fractions Chartlet
Teaching students fractions can be an exercise in frustration, but it doesn't have to be. The fractions poster illustrates simple fractions in three different ways to make the concept visible. There's even a handy resource guide on the back to help you plan to teach fractions.
This brightly colored poster would look great on the wall of your math classroom. The suggested ages for use are 9 through 13, or grades 4th through 8th, but it could be used with students outside of those parameters, especially with advanced youngsters or older students in special education classes.
Use this chartlet to teach your elementary school aged students how fractions breakdown. Hang it on the wall as a convenient reference guide students can glance at if they need help. With more advanced students, you can use it as a springboard to make even more fraction charts. Assign your students to make their own anchor charts displaying fraction breakdowns using thirds or fifths. With your creative mindset, the possibilities are limitless. No matter their grade level, your students will appreciate being able to see how fractions breakdown. The attractiveness of the poster will also add charm to your classroom and make the environment more welcoming for your students.
Specifications for the teaching fractions math poster:
Dimensions: 17" x 22"
Resource guide on back
3rd Grade Math | Introduction to Fractions | Basic concepts | Understand all about fractions in this series where we explore where they came from and how to use them properly. Learn fractions from Mr. Pencil who teaches you every step to necessary for long term learning and application to higher math.
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