The standards addressed in this unit were initially introduced in Unit 2 to provide opportunities throughout the year for students to work towards fluency. In this unit, students demonstrate fluency in multiplication with whole numbers and continue to practice division with whole numbers using various strategies. Students begin the unit by using estimation strategies to determine if products are reasonable. As they progress through the unit, they work to connect the partial products strategy (represented vertically and in an area model) to our standard multiplication algorithm. Students then make connections between multidigit multiplication and division, as they use place value concepts in these two related operations.
Key Concepts:
 The standard algorithm for multiplication is an efficient way to multiply that uses place value concepts.
 We can use our knowledge of place value to assess the reasonableness of the result of a calculation.
 The meaning of division is the same regardless of the strategy being used.
Prior Knowledge Needed:
 Place value understanding allows us to multiply multidigit numbers in different ways; (Grade 4, Unit 2; 4.NBT.B.5)
 Place value understanding allows us to divide multidigit numbers in different ways; (Grade 4, Unit 2; 4.NBT.B.6)
Units on the Horizon:
 Multidigit computation and finding common factors and multiples (Grade 6, Unit 3)
Lessons

Lesson objective: Understand that estimation and place value can be used to determine reasonable products Students bring prior knowledge of multiplication from 4.NBT.B.5. This prior knowledge is extended to determining reasonableness as students use est...

Lesson objective: Understand that the standard algorithm can be an efficient way to multiply that uses the distributive property and place value concepts. Students bring prior knowledge of the area model and partial products strategies from 4.NBT.B.5. T...

Lesson objective: Use place value and estimation to determine if a product is reasonable. This lesson helps to build fluency with estimating partial and total products. This work develops students' understanding that they can stop and monitor their thin...

Lesson objective: Fluently multiply whole numbers using the standard algorithm. This lesson helps to build fluency with the standard algorithm for multiplication. This work develops students' understanding that the standard algorithm relies upon the dis...

Lesson objective: Estimate products and solve multiplication problems. This lesson provides an opportunity for students to apply their knowledge and understanding of the standard algorithm to a reallife situation. Students must decide if they agree or ...

Lesson objective: Understand that the meaning of division is the same regardless of the strategy being used. Students bring prior knowledge of division from 4.NBT.B.6. This prior knowledge is extended to the meaning of division as students work to under...

Lesson objective: Use partial quotients and different representations to find quotients. This lesson helps to build division fluency using partial quotients. Multiplication is used here because it supports the connection between the two operations (mult...

Lesson objective: Determine the type of division problem using reallife situations. This lesson helps to build procedural skills with determining the type of division problem represented in reallife situations. Different strategies are used here becau...

Lesson objective: Apply multiplication and division to solve a realworld problem and interpret the remainder. This lesson provides an opportunity for students to apply their knowledge and understanding of multiplication and division to a reallife situ...

Lesson objective: Apply multiplication and division to solve a realworld problem. This lesson provides an opportunity for students to apply their knowledge and understanding of multiplication and division to a reallife situation. Students are asked to...