DIG INTO INTERVENTION: A FRACTION ARRAY Presented by MathLinks - PowerPoint PPT Presentation

Aug 16, 2023 •341 likes •548 views

DIG INTO INTERVENTION: A FRACTION ARRAY Presented by MathLinks Author Mark Goldstein For more information about our core programs for middle school and intervention programs for grades 6-9, please visit: www.mathandteaching.org In this

DIG INTO INTERVENTION: A FRACTION ARRAY Presented by MathLinks Author Mark Goldstein For more information about our core programs for middle school and intervention programs for grades 6-9, please visit: www.mathandteaching.org
In this session, you will learn: How to create and use a fraction array to explore fraction concepts, including ordering and equivalence How to use sense-making strategies to compare and order fractions
Philosophy Concept lessons allow students to fill “holes” in their background. Research on effective intervention for middle school students suggests: Focus on whole numbers and fractions Use of visual representations of mathematical ideas Explicit and systematic instruction 3
Two Models for Fourths Area model 1 4 Linear Model 0 1
Fraction Strip Fourths Area model Linear model
Creating a Fraction Array
Creating a Fraction Array 0 and 1 at the edges Label each strip
Creating a Fraction Array What are different names for zero and 1? What fractions are equivalent to ½ and how do you know? What is a unit fraction? How can you tell which unit fraction pictured is the greatest…or the least?
Creating a Fraction Array
A Fraction Array
Ordering Fraction Strategies Compare unit fractions Compare fractions with common numerators Compare fractions with common denominators Compare to a benchmark fraction Compare fractions close to one
Compare Unit Fractions Which is greater: 1 1 or ? 5 8
Compare Fractions with Common Numerators Can you generalize a relationship about the relative sizes of fractions with a common numerator?
Compare Fractions with Common Denominators Can you generalize a relationship about the relative sizes of fractions with a common denominators?
Compare to a “Benchmark” Fraction 5 Is less than or greater 8 1 than ? 2 1 1 Less than Greater than 2 2
Compare Fractions Close to 1 Which is greater: 4 7 or ? 5 8 Which is greater: 8 14 or ? 11 17
Handout www.mathandteaching.org/webinars
OUR PROGRAMS: Comprehensive 6-8 curriculum Customized intervention grades 6-9 Special Education programs Supplemental programs For more information, please visit our website at www.mathandteaching.org
THANK YOU! Shelley Kriegler (shelley@mathandteaching.org) Mark Goldstein (mark@mathandteaching.org) To download handouts or view webinars go to www.mathandteaching.org/webinars

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