Unit 1

This unit builds on previous skills of multiplication and division so that students can fluently multiply and divide multi-digit numbers.The rubric for the unit can be found here.

By the end of the unit students should be able to multiply multi-digit numbers fluently using the standard algorithm (traditional multiplication with carrying). An understanding of place value and how it affects numbers is a common thread throughout teaching and students should know why they need a place holder zero when multiplying two and three digit numbers. Area model and partial products are two other methods for solving multi-digit multiplication problems that students might use.

Students learn to divide multi-digit whole numbers (up to four digit divided by two digit) with a continued focus on place value understandings and groupings. They will also use the relationship between multiplication and division to solve problems. The traditional algorithm, or long division is introduced at the end of our division study but students will be more familiar with area models and partial quotients as strategies for solving division problems. Videos that explain these problem solving methods are linked below in more resources.

This unit will address the Common Core State Standards (CCSS) 5.NBT.5 and 5.NBT.6 and will support CCSS 5.OA.1.

Students will be able to:

  • fluently multiply multi-digit whole numbers using the standard algorithm
  • find whole-number quotients using strategies based on place value and illustrate and explain the calculation using equations, rectangular arrays, and/or area models.
  • use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols

Multiplication Models

Area Model

Partial Products

Standard Algorithm


Division Models

Area Model

BaseTen Blocks

Partial Quotients