Third Grade Math nd 2 Grading Period Power Objectives: Academic Vocabulary: multiplication array Represent and solve problems involving multiplication and divisor commutative division. (P.O. #1) property Understand properties of multiplication and the distributive property relationship between multiplication and divisions. estimation division factor column (P.O. #2) Multiply and divide with 100. (P.O. #3) repeated addition multiple Solve problems involving the four operations, and identify associative property quotient and explain the patterns in arithmetic. (P.O. #4) rounding row product equation Multiplication and Division Enduring Understandings: Essential Questions: Mathematical operations are used in solving problems In what ways can operations affect numbers? in which a new value is produced from one or more How can different strategies be helpful when solving a values. problem? Algebraic thinking involves choosing, combining, and How does knowing and using algorithms help us to be applying effective strategies for answering questions. Numbers enable us to use the four operations to efficient problem solvers? combine and separate quantities. How are multiplication and addition alike? See below for additional enduring understandings. How are subtraction and division related? See below for additional essential questions. Enduring Understandings: Multiplication is repeated addition, related to division, and can be used to solve story problems. For a given set of numbers, there are relationships that are always true called properties, and these are the rules that govern arithmetic. Multiplication and division have inverse relationships. Essential Questions: Is there more than one way of multiplying to get the same product? How can the same array represent both multiplication and division? How can you use multiplication to help you divide? What are strategies for learning multiplication facts? How does understanding the commutative property help us multiply? How does understanding the distributive property help us multiply large numbers? How can the use of estimation help us make logical problem solving decisions? How does understanding patterns, sequences, and functions help us to solve problems? .