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.


Quarter 1
Quarter 2
Quarter 3
Quarter 4
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.

Multiply 2-digit numbers by 1-digit numbers
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.

Multiply 3-digit numbers by 1-digit numbers, 4-digit by 1-digit
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.

Multiply 2-digit by 2-digit numbers
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.

Continue all as needed
* Grade 4 expectations in this domain are limited to whole numbers less than or equal to 1,000,000.

Enduring Understanding

  • Multiplication of larger numbers is the same as multiplication of smaller numbers.
  • I can use similar representations and strategies to multiply large numbers.

Essential Questions

  • How is multiplying multi-digit numbers similar to single digit numbers?
  • How can I show the product of multi-digit factors?

Vocabulary (online dictionary)

factor, product, array, area model

About the Math

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Understanding Multiplication (Long Multiplication Algorithm, Traditional American Algorithm)
Understanding Multiplication (Egyptian Multiplication)
Understanding Multiplication (Lattice Method)
Understanding Multiplication (Russian Peasant)

Rich Tasks for Multiple Means of Engagement, Expression, and Representation (UDL)

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Teaching Student-Centered Mathematics (Grades 3-5)

pg. 113-118, *Figure 4.8, 4.10,4.11, 4.12,
pg. 129 - Expanded Area Lesson


Lesson Seed Ideas:
Have students use base ten blocks to prove the solution for multiplying a one-digit number by multiples of 10. For example, when multiplying 4 x 20, have students model the problem by having them multiply 4 rows by 20 columns. When moving to mental computation, look out for students who just add a zero to the end of the solution without understanding why.

Examples of multiplying one-digit numbers by multiples of 10, 100, and 1,000.

Opportunities for Writing in Math:
  • Write a multiplication problem using a three-digit by a one-digit that has a product between 400 and 500.
  • How do you know when you multiply 145 by 6, the product will be even?


Multiplication Games

Learnzillion Video Resources (5 Lessons)

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Select image for lessons.



Print Resources:

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Brain-Compatible Activities for Mathematics 4-5 pg. 6-8, 13-15
Brain-Compatible Activities for Mathematics 4-5 (13-15)
Brain-Compatible Activities for Mathematics 4-5 (9-12)
Math by All Means - Multiplication
20 Thinking Questions for Base 10 Blocks (78)
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Fundamentals (Grades 3-4), pg. 40 (Climb the Ladders)
Math Intervention: Building Number Power 3-5 (118-120, 124-128)
Developing Mathematics with Base Ten p. 44-46 and 67-70
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Hands on Standards (Gr 3-4), pgs. 104-105 (Communtative Property)
Hands on Standards (Gr 3-4), pgs. 108-109 (Assoicative Property)
Hands on Standards (Gr 3-4), pgs. 30-31 (Multiplication with Two-Digit Number)
NumberSense 4-6 (36-37; 40-42)
Number Sense 3-4 (92-96)
Roads to Reasoning (4), p. 10 and 11
Roads to Reasoning (4), p. 5, 7, 61 and 69
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'Understanding Trailing Zeros' pages 79-84
'Halving and Doubling' pages 97-98



Web Resources:

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Games and Centers
Lessons
Student Resources
Video Segments
Doubling and Halving

Partial Products (1)

Partial Products (2)

Multiplication Number Story

Make the Largest Product
Multiplication Number Stories
Lesson Seed
Rectangle Multiplication
Virtual Manipulative
Associative and Distributive
Properties (Discovery Education)
Multiplication Bump
Breaking Apart a Factor
Lesson Seed

Cluster Problems (for teachers)
Batter's Up Baseball
Different Ways to Multiply
Full Lesson

Making Sense of Multiplication
(Teacher Channel)
Make the Smallest Product


Learnzillion Video Resources
(5 Lessons)
Arithmetic Connect Four online game



Countdown
game, lesson seed
Multiply and Conquer
lesson


Products Game
Closest to One Thousand
Lesson


Number Factory
French Fries
Lesson


Games with Dominoes
game, lesson seed
In the Next Three Seconds . . .
Lesson


Dicey Operations
(game 3)




Multiply Using the Distributive Property
NC Dept. of Public Instruction




Brain Only! (4.NBT.5, 4.NBT.6, & 4.OA.2)
Georgia Dept. of Education




Multiplication Games



Beaded Bracelet Multiplication
LearnNC



Multi-Digit Multiplication Strategies
Kentucky State Department of Education




Connecting to Children's Literature:



Questions/Comments:

Contact John SanGiovanni at jsangiovanni@hcpss.org.


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Howard County Public Schools Office of Elementary Mathematics Curricular Projects has licensed this product under a Creative Commons Attribution-NonCommercial-NoDerivs 3.0 Unported License.