# teachmath  ## Multiplication and Division – Mastery

This is the final post in our series of blog posts on teaching Multiplication and Division from 2nd through 5th grade. In this post, we discuss the final ingredients needed to master multiplication and division. In fifth grade, we extend our understanding of whole number multiplication and division to general numbers (up to 4-digits), and … ## Multiplication and Division for Higher Order Numbers

In fourth grade, we extend our understanding of multiplication and division concepts to higher order whole numbers. Specifically, multiplication and division for higher order numbers can be divided into: Multiply up to 4 digits by 1 digit, e.g. 7,032×8 Multiply up to 3 digits by 2 digits, e.g. 603×26 Divide up to 4-digits by 1 … ## Using Bar Models for Multiplication and Division

Do you know we can use bar models for multiplication and division problems? In this blog post, we illustrate some of the common types of word problems involving Multiplication and Division and how to solve them using this powerful heuristic. Using Bar Models for Multiplication and Division in One-Step Multiplication Word Problems Example (from Math in … ## Division – Remainder and Regrouping

After we learn about Multiplication of 1-digit numbers with 3-digit numbers, we’ll next go deeper into division. The concept of remainder is specific to division and may be challenging for some students. Hence, before jumping straight into division with remainder, it is better to first understand the concepts of quotient and remainder, and treat cases … ## Multiplying 1-digit numbers with 3-digit numbers

Having learned the basic multiplication tables (please see previous blog posts – 1,2,3) for single digit numbers, i.e. 2 to 9, it is now time to generalize multiplication to multi-digit numbers, starting with multiplying 1-digit numbers with 3-digit numbers. Before jumping into the standard algorithm, it is better to lay some important foundation. Here, a strong … ## Multiplication Tables of 3 and 4

Multiplication Tables of 3 and 4 Having learned the multiplication facts for the “friendly” numbers of 2, 5 and 10 in the previous blog post, we’re now ready to tackle multiplication tables of 3 and 4, usually in the latter half of second grade. Under a spiral approach, students move on to learn other topics … ## How to Introduce Multiplication Tables for 2, 5 and 10

Multiplication tables for 2, 5 and 10 are the first set of multiplication tables students learn in 2nd Grade because they follow easy-to-remember patterns and are therefore more “friendly” than other multiplication tables. In this blog post, we’ll talk about some of the more important concepts to focus on, extending what we’ve learned in the … ## How to Introduce Multiplication and Division in Early Elementary Levels

Multiplication and Division is the next step up from addition and subtraction, and should be taught with a graduated spiral approach throughout the elementary school years. Both concepts can and should be introduced together, as early as second grade. Before building up fluency in multiplication tables, students should first understand the concepts of multiplication and … ## How do you teach multiplication by negative numbers?

Multiplication by negative numbers is usually introduced in middle school, and may be tricky to teach. In particular, the bar models that were so helpful when we solve multiplication and division problems for whole numbers and fractions in elementary grades are suddenly not very useful anymore. In our teaching, we do not use bar models …

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