4/4/2023 0 Comments 6th grade math practice![]() ![]() Finally, students tackle a culmination involving factors, multiples, and squares involving the divisibility rules for 2, 3, 5, 6, and 9.Ĭ.6.NS.B.2 8 Then, students move on to divisibility puzzles pertaining to the numbers 3 and 6. Students begin with a review of the divisibility rule for the number 9. In this application of number theory, students combine their understanding of remainders with divisibility rules while using variables. Mathematical Fundamentals: Last Digits Part 1ĭIVISIBILITY PUZZLES (3, 6, and 9) Finally, students explore how remainders relate to divisibility rules in a variety of cases involving unknowns. Then, students extend their thinking to more complicated divisibility puzzles and those involving the number 8. Students begin with divisibility puzzles pertaining to the number 4. Mathematical Fundamentals: Cryptograms Solved By DivisibilityĭIVISIBILITY PUZZLES (4 and 8) ![]() Finally, the culmination question requires some creative thinking involving how operations using even numbers can yield odd numbers. Then, students extend their thinking to divisibility puzzles involving the numbers 5 and 10. Students begin with divisibility puzzles pertaining to even and odd numbers. Finally, the culmination question requires a nifty combination of several different divisibility rules to determine the largest possible number that meets certain criteria.ĭIVISIBILITY PUZZLES (2, 5, and 10) Then, students move on to a puzzle that requires the application of several divisibility rules and a puzzle involving divisibility by 11. Students begin by applying some common divisibility rules. In this application of number theory, students combine their understanding of remainders with divisibility rules. Number Theory: Arithmetic with Remainders Students begin by exploring remainders in simple situations before diving into a series of challenging remainder puzzles. The problems give students the chance to extend their understanding of remainders beyond what is traditionally taught in school. This activity pertains to remainders and involves the most fundamental number theory tools and concepts. It's how mathemagicians seemingly "solve" difficult problems in their head. Number Theory: How Many Prime Numbers Are There? Finally, in the culmination puzzle, students use a set of hints to determine the missing prime number. After identifying prime numbers and reviewing their characteristics, students determine whether unknown quantities involving variables are prime or composite. In this problem set, students work at the core of number theory by exploring prime and composite numbers. Mathematical Fundamentals: Describing PatternsĬ.6.EE.A.2 .6.EE.B.6 7 ![]() It is ideal for students who are beginning to express mathematical relationships using the language of algebra, as it encourages them to practice describing mathematical relationships using both words and algebraic symbols. This examination of patterns requires students to use variables to generalize about patterns. Students may take the approach of writing and solving equations, or they may choose to apply their intuition and number sense skills. This set of problems requires students to identify a wide variety of patterns and use them to make predictions. Searching for and analyzing patterns are core critical thinking skills that span all disciplines of mathematics. ![]()
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