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Published byErica Payne Modified over 9 years ago
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Comparing & Ordering Fractions Our Favorite Subject
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2 What Should Students Understand about Fraction Concepts Meaning of the denominator (number of equal-sized pieces into which the whole has been cut) Meaning of the numerator (how many pieces are being considered) The more pieces a whole is divided into, the smaller the size of the pieces
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3 What is Equivalence, Anyway? “Equivalence” means “equal value” A fraction can have many different names Understanding that 1/2 is equivalent to many other fractions helps you to use that benchmark Simplify: when and why
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4 Ordering Fractions Fractions with the same denominator can be compared by their numerators.
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5 Ordering Fractions Fractions with the same numerator can be compared by their denominators.
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6 Ordering Fractions Fractions close to a benchmark can be compared by finding their distance from the benchmark.
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7 Ordering Fractions Fractions close to one can be compared by finding their distance from one.
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8 Strategies for Ordering Fractions Same denominator Same numerator Benchmarks: close to 0, 1, 1/2 Same number of missing parts from the whole (”Residual strategy”)
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9 “Clothesline” Fractions Activity,,
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10 “Clothesline” Fractions Activity,
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11 “Clothesline” Fractions Activity,,
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12 “Clothesline” Fractions Activity,,
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13 “Clothesline” Fractions Activity,,
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14 “Clothesline” Fractions Activity X,,
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15 “Clothesline” Fractions Activity, (where x ≠0),
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16 The Number Line Helps Develop Fraction sense Benchmarks Relative magnitude (size) of fractions Algebraic connections
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17 Fractions aren’t just between zero and one; they live between all the numbers on the number line; A fraction can have many different names; There are more strategies than just “finding a common denominator” for comparing and ordering fractions; Fractions can be ordered on a number line just like whole numbers. The thinking involved when placing fractions on a number line can be symbolized algebraically. What Should “Kids” Know?
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18 Contact Us : nbezuk@mail.sdsu.edu sklass@projects.sdsu.edu Slides and Fraction Tents Master are available at: http://pdc.sdsu.edu (click on “PDC Presentations”)
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