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?

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?

## 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 1Quarter 2Quarter 3Quarter 4Multiply 2-digit numbers by 1-digit numbers

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

Multiply 2-digit by 2-digit numbers

Continue all as needed

Enduring UnderstandingEssential Questions

factor, product, array, area modelVocabulary (online dictionary)About the MathUnderstanding 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)Teaching Student-Centered Mathematics(Grades 3-5)pg. 113-118, *Figure 4.8, 4.10,4.11, 4.12,pg. 129 - Expanded Area LessonLesson 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:

Multiplication Games

## Learnzillion Video Resources (5 Lessons)

Print Resources:Brain-Compatible Activities for Mathematics 4-5 (13-15)

Brain-Compatible Activities for Mathematics 4-5 (9-12)

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)

Number Sense 3-4 (92-96)

Roads to Reasoning (4), p. 5, 7, 61 and 69

'Halving and Doubling' pages 97-98

Web Resources:Partial Products (1)

Partial Products (2)

Multiplication Number Story

Make the Largest Product

Lesson Seed

Virtual Manipulative

Properties (Discovery Education)

Lesson Seed

Full Lesson

(Teacher Channel)

(5 Lessons)

game, lesson seed

lesson

Lesson

Lesson

game, lesson seed

Lesson

(game 3)

NC Dept. of Public Instruction

Georgia Dept. of Education

LearnNC

Kentucky State Department of Education

Connecting to Children's Literature:## Questions/Comments:

Contact John SanGiovanni at jsangiovanni@hcpss.org.Use and Sharing of HCPSS Website and ResourcesHoward County Public Schools Office of Elementary Mathematics Curricular Projects has licensed this product under a Creative Commons Attribution-NonCommercial-NoDerivs 3.0 Unported License.