This unit's main focus is multiplication and division and solving problems with units of 2-5 and 10. The students will know the relationship between multiplication and division. They will be able to use manipulatives and pictures to solve a variety of problems. Knowing their facts fluently is an ongoing skill. Story problems are used for multiplication and division throughout the unit.
Throughout the course of this unit, students will be:
3.OA.A. Represent and solve problems involving multiplication and division.
3.OA.A.1. Interpret products of whole numbers, e.g., interpret 5 × 7 as the total number of objects in 5 groups of 7 objects each.
3.OA.A.2. Interpret whole-number quotients of whole numbers, e.g., interpret 56 ÷ 8 as the number of objects in each share when 56 objects are partitioned equally into 8 shares, or as a number of shares when 56 objects are partitioned into equal shares of 8 objects each.
3.OA.A.3. Use multiplication and division within 100 to solve word problems in situations involving equal groups, arrays, and measurement quantities.
3.OA.A.4. Determine the unknown whole number in a multiplication or division equation relating three whole numbers.
3.OA.B. Understand properties of multiplication and the relationship between multiplication and division.
3.OA.B.5. Apply properties of operations as strategies to multiply and divide.
3.OA.B.6. Understand division as an unknown-factor problem.
3.OA.C. Multiply and divide within 100.
3.OA.C.7. Fluently multiply and divide within 100, using strategies such as the relationship between multiplication and division (e.g., knowing that 8 × 5 = 40, one knows 40 ÷ 5 = 8) or properties of operations. By the end of Grade 3, know from memory all products of two one-digit numbers.
3.OA.D. Solve problems involving the four operations, and identify and explain patterns in arithmetic.
3.OA.D.8. Solve two-step word problems using the four operations. Represent these problems using equations with a letter standing for the unknown quantity. Assess the reasonableness of answers using mental computation and estimation strategies including rounding