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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 Presentation
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Do All Fractions Fit on a Number Line?
RSS Mini Conference
2013-2014
Candyce Tracy
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?Talk with your partner about this question?
Sharing BrowniesHow can I cut the brownie so that two people can have equal shares?
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
Ordering FractionsOrder these unit fractions from
smallest to largest with the smallest over to the left and the largest over
to the right.
How does this task build understanding of
fractions?
How can you apply this understanding to a
number line?
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
Identify fractions between fractions
For each fraction pair find 3 fractions using at least 2 different strategies
⅛ and ¼¼ and ⅕¼ and ⅓
Fractions on a number line
18/100
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
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?
Give a rough estimate of the values represented by points A and B on the number lines below.
1
1
A
B
By comparing fractions, students come to understand them as something more—
numbers that have magnitude.
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.
Rational numbers allow us to gain as much precision as we
desire.
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?