do all fractions fit on a number line?
DESCRIPTION
RSS Mini Conference 2013-2014 Candyce Tracy. Do All Fractions Fit on a Number Line?. Outcomes. Learn something NEW…….. preferably about fractions. Leave curious about what the new standards expect in terms of fractions instruction. Is ½ always equivalent to ½?. - PowerPoint PPT PresentationTRANSCRIPT
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Do All Fractions Fit on a Number Line?
RSS Mini Conference
2013-2014
Candyce Tracy
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Outcomes
• Learn something NEW…….. preferably about fractions.
• Leave curious about what the new standards expect in terms of fractions instruction.
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Is ½ always equivalent to ½?Talk with your partner about this question?
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Sharing BrowniesHow can I cut the brownie so that two people can have equal shares?
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Sharing BrowniesPlease fold into the following equal
piecesLabel each piece with the fraction
name• 4 equal pieces• 8 equal pieces• 3 equal pieces• 6 equal piecesCut apart each equal piece
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Ordering FractionsOrder these unit fractions from
smallest to largest with the smallest over to the left and the largest over
to the right.
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How does this task build understanding of
fractions?
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How can you apply this understanding to a
number line?
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Fraction Game• Use a sticky note to represent the whole
numbers on your number line?• Shuffle fractions cards• Turn over 5 fractions cards (not using
percents)• Determine with your group where you
would place these numbers on your number line.
• Record in your journal• After 1st round, turn over 10 cards
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Identify fractions between fractions
For each fraction pair find 3 fractions using at least 2 different strategies
⅛ and ¼¼ and ⅕¼ and ⅓
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Fractions on a number line
18/100
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147 first year elementary majors
• Only 24% knew that there was an infinite amount of numbers between ¼ and ⅕.
• 43% claimed that there are no numbers between ¼ and ⅕ and
• 30% claimed that ⅕ is the successor to ¼
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Reasoning about magnitudeAunt Sally has a jar that holds one cup
of liquid. Her salad dressing recipe calls for 2/3 cup of oil, 1/8 cup of
vinegar, and 1/4 cup of juice.Is the jar large enough to hold all the
oil, vinegar, and juice?
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Give a rough estimate of the values represented by points A and B on the number lines below.
1
1
A
B
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By comparing fractions, students come to understand them as something more—
numbers that have magnitude.
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Density – between any two rational numbers we can find a third rational number. This
property leads to the fact that between any two rational numbers, no matter how close, there are infinitely
many other rational numbers.
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Rational numbers allow us to gain as much precision as we
desire.
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Reflection of Session
Please use an index card1) Something you learned
2) A Question you still have
3) How can I better facilitate your learning?