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Do All Fractions Fit on a Number Line?

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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?.

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slide1
RSS

Mini Conference

2013-2014

Candyce Tracy

Do All Fractions Fit on a Number Line?

outcomes
Outcomes
  • Learn something NEW…….. preferably about fractions.
  • Leave curious about what the new standards expect in terms of fractions instruction.
is always equivalent to
Is ½ always equivalent to ½?

Talk with your partner about this question?

sharing brownies
Sharing Brownies

How can I cut the brownie so that two people can have equal shares?

sharing brownies1
Sharing Brownies

Please fold into the following equal pieces

Label each piece with the fraction name

  • 4 equal pieces
  • 8 equal pieces
  • 3 equal pieces
  • 6 equal pieces

Cut apart each equal piece

ordering fractions
Ordering Fractions

Order these unit fractions from smallest to largest with the smallest over to the left and the largest over to the right.

fraction game
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
Identify fractions between fractions

For each fraction pair find 3 fractions using at least 2 different strategies

⅛ and ¼

¼ and⅕

¼ and ⅓

147 first year elementary majors
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 magnitude
Reasoning about magnitude

Aunt 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?

slide16
Give a rough estimate of the values represented by points A and B on the number lines below.

A

1

B

1

slide18
By comparing fractions, students come to understand them as something more—numbers that have magnitude.
slide19
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.
slide21
Reflection of Session

Please use an index card

  • Something you learned
  • A Question you still have
  • How can I better facilitate your learning?
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