Use place value understanding and properties of operations to perform multi-digit arithmetic.
Multiply a whole number of up to four digits by a one-digit whole number, and multiply two two-digit numbers, using strategies based on place value and the properties of operations. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.
The teacher needs to understand how place value helps students find the product in multi-digit multiplication problem. It is important to use multi-digit multiplication problems to reenforce place value. Example: “Four tens times three tens is twelve tens. Regroup and put one in the hundreds and two in the tens.”
Students who develop flexibility in breaking numbers apart have a better understanding of the importance of place value and the distributive property in multi-digit multiplication.
Student Knowledge Goals
I know that multiplication is the same as repeated addition.
I know visual models can be used to show multiplication.
I can interpret and use visual models for multiplication.
I can show my thinking by creating area models.
I can write an equation to a model of a multiplication problem.
Commutative Property of Multiplication
Distributive Property of Multiplication over Addition
Identity Property of Multiplication
Engage NY Module 3 B-4 – Interpret and represent patterns when multiplying by 10, 100, and 1,000 in arrays and numerically.
Engage NY Module 3 B-5 – Multiply multiples of 10, 100, and 1,000 by single digits, recognizing patterns.
Engage NY Module 3 B-6 – Multiply two-digit multiples of 10 by two-digit multiples of 10 with the area model.
Engage NY Module 3 C-7 – Multiplication of up to Four Digits by Single-Digit: Use place value disks to represent two-digit by one-digit multiplication.
Engage NY Module 3 C-8 – Extend the use of place value disks to represent three- and four-digit by one-digit multiplication.
Engage NY Module 3 C-9 – Multiply three- and four-digit numbers by one-digit numbers applying the standard algorithm.
Engage NY Module 3 C-10 – Multiply three- and four-digit numbers by one-digit numbers applying the standard algorithm.
Engage NY Module 3 C-11 – Multiply three- and four-digit numbers by one-digit numbers applying the standard algorithm.
Online Problems, Games, and Assessments
Khan Academy – Questions and Video Lessons
Multiply 1-digit numbers by 2-digit numbers
Multiply 1-digit numbers by 3-digit or 4-digit numbers
Multiplication patterns over increasing place values
Properties of multiplication
Distributive property: find the missing factor
Multiply using the distributive property
Multiply a 2-digit number by a 2-digit number: complete the missing steps
Multiply a 2-digit number by a 2-digit number
Multiply numbers ending in zeroes