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# Teaching 4.NBT.B.5 – Multiply a Whole Number of up to Four Digits by a One-Digit Number & Multiply Two Two-Digit Numbers

## Number & Operations in Base Ten – 4th Grade

#### Use place value understanding and properties of operations to perform multi-digit arithmetic.

CCSS.Math.Content.4.NBT.B.5
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.

Teacher Notes
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 various strategies for multiplication (e.g., partial products, arrays, etc.).
I know that multiplication is the same as repeated addition.
I know visual models can be used to show multiplication.
I understand the properties of multiplication.
I can interpret and use visual models for multiplication.
I can explain the strategy I used to solve a multiplication problem.
I can show my thinking by creating rectangular arrays.
I can show my thinking by creating area models.
I can write an equation to a model of a multiplication problem.

Vocabulary
area model
Commutative Property of Multiplication
Distributive Property of Multiplication over Addition
equal groups
equation
factor
Identity Property of Multiplication
partial product
place value
product
rectangular array
strategy

Lessons
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.

Student Video Lessons
Learn Zillion – Multiply Multi-Digit Whole Numbers
Learn Zillion – Solve multiplication problems
Study Jams – Distributive Property
Virtual Nerd – Multiplication

Printables
Multiplication – Single & Multi-Digit
4.NBT.B.5 – 60 pages of PDF worksheets