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Stern Structural Arithmetic and Fractions

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?

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Stern Structural Arithmetic and Fractions

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  1. Stern Structural Arithmetic and Fractions Temple Ary Lois Feldman www.sternmath.com International Dyslexia Association Conference March 9, 2010

  2. Agenda • Discuss: What’s hard about teaching fractions? • Fraction story where each pair will cut fractions. • Play 2 fraction games. • Discuss what you learn about fractions from the games. • Show you a preview of a new fraction book. • Show you a money game that connects fractions, decimals and percents.

  3. What’s Hard About Fractions ?

  4. Candy Bars • Imagine your favorite candy bar • I have a candy bar and I’m about to take a bite…. One Whole

  5. One Whole one half one half What is another name for a whole? I have a candy bar and I’m about to take a bite….

  6. Fourths One Whole • What is another name for a whole? • What is another name for a half? • Which is bigger – a fourth or a half? I have candy bar and I’m about to take a bite….

  7. Eighths One Whole 1 2 1 2 1 4 1 4 1 4 1 4 1 8 1 8 1 8 1 8 1 8 1 8 1 8 1 8

  8. Hiding Game What piece is missing? Variation: Hide two pieces

  9. Hiding Game • What does one think about when figuring out which piece is hidden? • What row? • How many pieces is the whole cut into?

  10. 8 8 8 4 2 4 Fraction Lotto Game Fraction Pieces Fraction Lotto Box Numerators 1 1 1 2 2 3 Denominators

  11. The Fraction Lotto Game

  12. 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: 4 1= 4 1 4

  13. Adding Same Denominator Book 3, p 105

  14. Adding Different Denominators • Draw two denominator cards • Draw two numerator cards 2 1 Where do I want to put the numerators? 4 8 At the end of the game (so I can fill the game board), allow them to pick just pick one numerator & denominator

  15. Double or Half Put 3 on sides of a die: Put 3 on sides of a die: 1 x 2 2 x ¼, ¼, ½,2/4, 3/4, 1 Make 6 cards • 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

  16. Division of Fractions How many fourths are in a whole? 1 2 3 4 Fractions are smaller than a whole…so there are 4.

  17. 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

  18. Another Example How many 1/8 yard pieces are in ¾ yard of material? . 3 1 . 4 8 ¾ yard of material and cut into 1/8 yard pieces

  19. . 3 3 3 $3 divided by . 4 4 What do I have to do? 1. Makeinto quarters 2. Chunk into groups of 3 . 3 3 . 4 12 3 Multiply 3 x 4 Total # of parts How many groups?

  20. Peg’s New Fraction Book • Peg's book. PDF

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