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Stern Structural Arithmetic and Fractions. Temple Ary Lois Feldman. www.sternmath.com International Dyslexia Association Conference March 9, 2010. Agenda. Discuss: What’s hard about teaching fractions? - PowerPoint PPT Presentation
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1
Stern Structural Arithmetic and Fractions
Temple AryLois Feldman
www.sternmath.com
International Dyslexia Association Conference March 9, 2010
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Agenda
1. Discuss: What’s hard about teaching fractions?
2. Fraction story where each pair will cut fractions.
3. Play 2 fraction games.
4. Discuss what you learn about fractions from the
games.
5. Show you a preview of a new fraction book.
6. Show you a money game that connects fractions,
decimals and percents.
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What’s Hard About Fractions ?
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Candy Bars
• Imagine your favorite candy bar
• I have a candy bar and I’m about to take a bite….
One Whole
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What is another name for a whole?
one halfone half
One Whole
I have a candy bar and I’m about to take a bite….
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Fourths
• What is another name for a whole?• What is another name for a half?• Which is bigger – a fourth or a half?
One Whole
I have candy bar and I’m about to take a bite….
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Eighths
12
12
One Whole
14
14
14
14
18
18
18
18
18
18
18
18
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Hiding Game
What piece is missing? Variation: Hide two pieces
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Hiding Game
• What does one think about when figuring out which piece is hidden?
– What row?
– How many pieces is the whole cut into?
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Fraction Lotto Game
Numerators
322111
Denominators
Fraction Lotto Box
84 4 8 82
Fraction Pieces
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The Fraction Lotto Game
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Putting Away Game
• When the one student wins, play the putting away game.
• The students whose board is not full have a head start
When removing the pieces, you are, in fact, subtracting:
1 = 44
41
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Adding Same Denominator
Book 3, p 105
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Adding Different Denominators
• Draw two denominator cards• Draw two numerator cards
2 1
4 8
Where do I want to put the numerators?
At the end of the game (so I can fill the game board),allow them to pick just pick one numerator & denominator
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Double or Half
1 x 2
Put 3 on sides of a die:
•Each person has an empty Lotto Board•Roll the die (1/2 x) •Pick a card (1/4)•“½ of ¼ equals 1/8”•Student puts a 1/8 size piece on the lotto board•Students may exchange pieces at any time•Need exact amount to fill board
Make 6 cards ¼, ¼, ½, 2/4, 3/4, 1
Put 3 on sides of a die:
2 x
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Division of Fractions
How many fourths are in a whole?
1 2 3 4
Fractions are smaller than a whole…so there are 4.
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Division of Fractions
• Division of Whole Numbers– 30 divided by 6
• Easy to demonstrate in the number track as containment• How many 6s are going to fit into 30?• Able to show that five 6-blocks fit into this space
• Division of Fractions– ½ divided by ¼
• How can we demonstrate containment?• How many 1/4s are going to fit into 1/2
1/2
1/4 1/4
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Another Example
How many 1/8 yard pieces are in ¾ yard of material?
¾ yard of material and cut into 1/8 yard pieces
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..34
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$3 divided by 34
1. Make into quarters 2. Chunk intogroups of 3
34
3 ..
34
3 ..
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3Multiply 3 x 4
What do I have to do?
How many groups?Total # of parts
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Peg’s New Fraction Book
• Peg's book. PDF
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