3.NF.A.2.b
Yuki Math Coins
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Game Info for Teachers
COMBINED RATING
4.0 Stars
TEACHERS (22)
4.5
STUDENTS (4207)
3.6
LENGTH
12 Minutes
GRADES
3
4
5
CAPABILITIES
ES
Spanish Language Support
Text-to-Speech Support
Description
Learn how fractional numbers can be graphed to help save Yuki from the evil ghost!
Vocabulary Words
numerator
denominator
fraction
unit fraction
improper fraction
mixed number
equivalent fraction
number line
Instructions
Play through this interactive game to learn about Plotting Fractional Numbers On A Number Line. Suitable for Grade 3, Grade 4, Grade 5.
Main Concepts
Consecutive whole numbers counting from 0 can be partitioned into equal b intervals where b represents the denominator in 1/b. The intervals can partition the consecutive whole numbers on the number line. (1/4 as the unit fraction can be used to split up the entire number line into ¼’s)
Starts with unit fractions or fractions with a numerator of 1, which are formed by partitioning a whole into equal parts and taking one part. e.g. If a whole is partitioned into 3 equal parts then each part is 1/3.
Numerator denotes the number of parts of the whole that are indicated, found on top of the fraction bar in a fraction.
Denominator denotes the size of the parts when a Whole is split into equal parts, found under the fraction bar in a fraction.
Move from understanding of “equal parts” to “parts with equal measurements”.
On a number line a whole is the unit interval, or the interval from 0 – 1. The rest of the consecutive whole numbers on a line have the same interval length as the unit interval.
Constructing a unit fraction on a number line consists of partitioning the unit interval into b sections with equal measurement. Where b represents the denominator in 1/b and recognizing the end of the first unit fraction interval as 1/b. Each consecutive partitioned interval is also equal to 1/b. (1/4 is represented by splitting intervals of 1 into 4 equal parts)
Once the number line is partitioned into b equal intervals, a/b are represented on the number line by counting the consecutive unit fractions from 0 until arriving at the a/b value. (5/4 can be represented on the number line by counting from 0 the ¼ units until arriving at 5/4’s).
Discussion Questions
Before the Game
Where do the fractions 1/2, 1/4, and 3/4 fall on a number line? What is an improper fraction? How do you convert an improper fraction into a mixed number? In a square, what is one example of what equal parts could look like?
After the Game
Explain how you used the fraction to divide the whole line segment into parts. Did you find it easier to put improper fractions or mixed numbers on the number line? What was different when the problems asked you to break up a mixed fraction?
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Game Details
Difficulty
Content Integration
Lexile Level
505
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