## 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 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.

**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

**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

**Printables**

Multiplication – Single & Multi-Digit

4.NBT.B.5 – 60 pages of PDF worksheets

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