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Line Plots with Fractional Measurements
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What you will learn from this videoWhat you will learn
- How to show fractions on line plots.
- How to use line plots to solve problems.
- We'll discover how this knowledge can show how large a group of animals are, how far your classmates can run and how many pets people have!
- Discussion Questions
Before Video
When reading a line plot, how can you tell which response or measurement is the most frequent or most often repeated? ANSWERThe measurement that has the most Xs above it is the most frequent.
We looked at the shortest and tallest measurements and used these to decide where to begin and end the number line.
No, I can just work my way through a list of values, marking an X for each data point on the line plot above the appropriate measure.
I can see the range of values in the data set. I can calculate the difference between the greatest amount and the least amount.
Line plots allow you to ‘see’ trends and to easily see which measurement occurs most frequently.
After Video
If a number or fraction on your line plot does not have an X over it, can you leave that number off the line plot? Explain why or why not.ANSWERNo, I need to include all measurements in the range, since seeing the gaps helps me understand the data better.
The data values help determine whether to divide wholes in halves, fourths, or eights. I need a tick mark for each value in the data set.
The total number of Xs is how many data values there are in the data set.
Subtract the smaller value from the larger value. Or count up from the smaller to the larger value.
I can multiply 3×1[ggfrac]1/2[/ggfrac], or I can add 1[ggfrac]1/2[/ggfrac] + 1[ggfrac]1/2[/ggfrac] + 1[ggfrac]1/2[/ggfrac].
- Vocabulary
- Number Line DEFINE
A line on which points are indicated by tick marks that are at regularly spaced intervals from a starting point.
- Line Plot DEFINE
A display of responses on a number line with an X used to show each time a response occurs.
- Plot DEFINE
The action of placing a point on a data display to represent a data value.
- Range DEFINE
The difference between the largest and the smallest value in a set of data.
- Scale DEFINE
The distance between tick marks on a number line.
- 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.
- Common Denominator DEFINE
A number that is a multiple of the denominators of two fractions.
- Number Line DEFINE
- Reading Material
- Practice Word Problems
- Practice Number Problems
- Lesson Plan
- Teacher Guide
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Level 1
A line plot has 2 X marks at [ggfrac]1/4[/ggfrac] 2 X marks at [ggfrac]3/4[/ggfrac], 1 X mark at 1, 4 X marks at 1[ggfrac]1/4[/ggfrac], 3 X marks at 1[ggfrac]1/2[/ggfrac], 2 X marks at 1[ggfrac]3/4[/ggfrac], and 2 X marks at 2. What is the difference in pounds between the largest package of fudge and the smallest package of fudge?
Level 2
A line plot has 2 X marks at [ggfrac]1/4[/ggfrac], 2 X marks at [ggfrac]3/4[/ggfrac], 1 X mark at 1, 4 X marks at 1[ggfrac]1/4[/ggfrac], 3 X marks at 1[ggfrac]1/2[/ggfrac], 2 X marks at 1[ggfrac]3/4[/ggfrac], and 2 X marks at 2. How many packages of fudge weigh less than 1[ggfrac]1/2[/ggfrac] pounds?
Level 3
A line plot has 2 X marks at [ggfrac]1/4[/ggfrac], 2 X marks at [ggfrac]3/4[/ggfrac], 1 X mark at 1, 4 X marks at 1[ggfrac]1/4[/ggfrac], 3 X marks at 1[ggfrac]1/2[/ggfrac], 2 X marks at 1[ggfrac]3/4[/ggfrac], and 2 X marks at 2. What is the combined weight of all of the packages of fudge that weigh 1[ggfrac]1/4[/ggfrac] pounds?
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