- 3.NF(3d); Puzzles used for Grade 3 must be limited to those in which the fractions have denominators 2, 3, 4, 6, and 8
"Compare These..." is a series of nine student puzzle books each comprised of one hundred sixty five inequality puzzles. They serve to promote number sense, logical and mathematical reasoning, and communication skills essential to every student’s mathematics education.
While similar to the entertaining and popular inequality puzzles known as Futoshiki, Compare These puzzles have the added advantage of not being restricted to comparing whole numbers 1, 2, 3, ..., n, in which n denotes a puzzle’s dimension. This allows for the use of such inequality puzzles at various grade levels in which different number representations are being learned and through which relevant number comparisons are made.
Volume 8, "Compare These Fractions", presents inequality puzzles in which students must compare fractions having common denominators (ten 3 x 3 and ten 4 x 4), compare fractions that have common numerators (ten 3 x 3 and ten 4 x 4), compare fractions to the benchmark 1/2 (twenty 3 x 3 and twenty 4 x 4), compare fractions requiring a common denominator or a common numerator (twenty 3 x 3 and twenty 4 x 4), and compare fractions to mixed numbers, decimals, and percents (twenty 3 x 3, fifteen 4 x 4, and ten 5 x 5).
This product contains the puzzles and their solutions. Also included is a table listing the values being compared in each puzzle as well as the number of given values and the number of given inequalities in each puzzle. The book also includes the candidates associated with each cell of each puzzle and a (possible) sequence of steps that could be used to solve each puzzle by using these candidates.
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Keywords/Phrases: Comparing Fractions, Ordering and Comparing Fractions, Fraction Puzzles, Fraction Games