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Intro to Fractions Using the Number Line
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What you will learn from this videoWhat you will learn
- We'll learn that a fraction represents PART of a whole.
- That a fraction can be represented as a point on a number line between 0 and 1.
- And we'll discover that this knowledge can help us plan a trip, share a meal, and even play music.
- Discussion Questions
Before Video
What does it mean to partition a shape?ANSWERPartitioning is breaking a shape into equal-sized parts.
A third is one piece of a whole partitioned into three pieces.
No; the partitions need to have the same size, but they can have different shapes.
Yes, you would partition the line into equal-length pieces.
The cake divided into halves would have the biggest pieces.
After Video
How do you show a fraction on a number line?ANSWERYou partition the space from 0 to 1 into equal-sized pieces.
The numerator represents the number of parts we have or the number of spaces we have traveled away from 0 on the number line.
The denominator represents the number of pieces the whole is partitioned into, or the number of spaces between 0 and 1 on the number line.
No. Fractions are showing the part-whole relationship, so the value of the fraction [ggfrac]1/2[/ggfrac] is the same whether it represents one part of a cake partitioned in two pieces or one part of an apple partitioned in two pieces.
[ggfrac]1/2[/ggfrac] will have larger spaces because the whole is partitioned into fewer pieces with [ggfrac]1/2[/ggfrac] than with [ggfrac]1/4[/ggfrac].
- Vocabulary
- Fraction DEFINE
A number representing a part-whole relationship. It tells us how many parts we have out of the total number of parts our whole is partitioned into.
- Numerator DEFINE
The number above the line in a fraction. It tells us how many parts of the whole we have.
- Denominator DEFINE
The number below the line in a fraction. It represents the total number of parts our whole is partitioned into.
- Number line DEFINE
A line that shows numbers in order, as a series of points on intervals.
- Partition DEFINE
The process of breaking a whole into equal-sized parts.
- Equal Parts DEFINE
Two parts are equal if they have the same size.
- Halves DEFINE
When you partition something into two equal parts, each part is one half.
- Thirds DEFINE
When you partition something into three equal parts, each part is one-third.
- Fourths DEFINE
when you partition something into four equal parts, each part is one-fourth.
- Sixths DEFINE
When you partition something into six equal parts, each part is one-sixth.
- Fraction DEFINE
- Reading Material
- Practice Word Problems
- Practice Number Problems
- Lesson Plan
- Teacher Guide
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Level 1
What do the numerator and denominator of a fraction represent?
Level 2
What does it mean to partition a whole?
Level 3
When we partition a number line into six equal parts, what fractions can we represent on the number line?
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