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Unit 5: Fractions-Fraction Equivalence
Vocabulary:
 Numerator-the number that means the PART of a whole or a group
1/2
 Denominator-the number below the bar in a fraction that tells how many equal parts
are in the whole or in the group. 1/2
 Equivalent-having the same value
 Fraction-a portion of a whole amount, part of a whole or a group
 Partition-a divided group/amount
 Benchmark-a familiar number used as a point of reference.
 Unit fraction-a fraction that has 1 as a numerator for example:
½, ¼
Lesson Type: Not in Go Math or Engage- Review from last year
Online Tools:
 https://www.youtube.com/watch?v=CA9XLJpQp3c
 http://exchange.smarttech.com/details.html?id=ecb5a6d7-2661-496d-be62fb64f42e2a98
Homework:
 http://www.commoncoresheets.com/Math/Fractions/Numberline/English/1.pdf
 http://www.commoncoresheets.com/Math/Fractions/Comparing%20Fractions%20Re
lative%20Size/English/1.pdf
 Tool for homework:
http://lrt.ednet.ns.ca/PD/BLM/pdf_files/fraction_strips/fs_to_twelfths_labelled.pdf
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Lesson: Strong mathematicians can use tools to help refresh their minds about concepts
previously learned. Today we will use fraction strips and a number line to help us compare
fractions.
These are fraction strips. They help us to see the different sizes of fractional parts.
Talk with your group and answer the following questions. Use this chart and the strips on your
table to answer the following questions:
1. What do the numerator and denominator represent in a fraction?
Numerator represents how much of the unit fraction youre thinking about. The
denominator tells the unit fractional amount.
2. What happens to the size of the fractional parts as the denominator increases?
As the denominator gets bigger the fractional parts gets smaller. (1/12 is much smaller
than 1/3)
3. Which unit fractions are missing from our strips?
1/9, 1/7, 1/11
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4. Where would these missing fractions be placed and what can you tell about their size in
relation to the other fractions?
Before and after the current amounts in numerical order.
5. Which fractions are equivalent to:
a.
½ is the same as 2/4 and 4/8, 3/6, 5/10, 6/12
b. 1/3, 2/6, 4/12
c. ¼, 2/8, 3/12
d. 1/5, 2/10
e. One whole, 2/2, 3/3, 4/4, 5/5, 6/6, 7/7, 8/8, 9/9, 10/10…
6. Which would be closer to a whole:
a. 7/8 or 9/10
b. ¾ or 5/6
This is how we can use a number line to do the same comparisons or to see how the same line
can be broken into several parts.
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Now talk with your group and answer the next set of questions. Use this chart to help you
answer the following questions:
1. Here is a blank number line. Pick a color (use a colored pencil in case you have to erase)
Draw the following benchmark amounts on the line:
a. 0, ½, 1, 2
2. Use the same number line. Pick three more colors.
a. First plot the regular fraction of your choice on the line. 3/4
b. Next plot a mixed number of your choice on the line. 1 ½
c. Finally plot an improper fraction of your choice on the line. 5/4
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Exit Ticket:
Today we reviewed fraction concepts from last year. Please let me know if you remember
these concepts. Which ideas felt confusion and which were easy or “good”. Let me know what
you would like to review or learn more about.