CCSS - 4.NBT(2)
"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 6 contains 66 puzzles that are 3 x 3 in size and 99 puzzles that are 4 x 4 in size. The 3 x 3 puzzles used in this volume are difficult in comparison to those used in previous volumes. Also, the 4 x 4 puzzles used in this volume are generally more difficult than those used in Volume 5. For the first time, students should be introduced to the solving method known as AB Elimination (introduced on Page 6 of this volume).
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. In that this volume requires students to solve puzzles that are larger than 3 x 3 in size, 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. The use of such candidates becomes increasingly important for larger puzzles (e.g. 5 x 5 and 6 x 6) used in subsequent volumes.
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Keywords/Phrases: Comparing Whole Numbers, Comparing Numbers, Number Puzzles, Ordering and Comparing Whole Numbers, Inequalities, Number inequalities, Inequality Puzzles