Title: 
Grade 4 Mathematics Module 3, Topic H: Multiplication of TwoDigit by TwoDigit Numbers 
URL: 
https://www.engageny.org/resource/grade4mathematicsmodule3topichoverview 
Content Source: 
EngageNY

Type: 
Lesson/Unit Plan

Overview: 
Module 3 closes with Topic H as students multiply twodigit by twodigit numbers. Lesson 34 begins this topic by having students use the area model to represent and solve the multiplication of twodigit multiples of 10 by twodigit numbers using a place value chart. Practice with this model helps to prepare students for twodigit by twodigit multiplication and builds the understanding of multiplying units of 10. In Lesson 35, students extend their learning to represent and solve the same type of problems using area models and partial products. In Lesson 36, students make connections to the distributive property and use both the area model and four partial products to solve problems. Lesson 37 deepens students’ understanding of multidigit multiplication by transitioning from four partial products with the representation of the area model to two partial products with the representation of the area model and finally to two partial products without representation of the area model. Topic H culminates at the most abstract level with Lesson 38 as students are introduced to the multiplication algorithm for twodigit by twodigit numbers. Knowledge from Lessons 34–37 provides a firm foundation for understanding the process of the algorithm as students make connections from the area model to partial products to the standard algorithm (4.NBT.5). Students see that partial products written vertically are the same as those obtained via the distributive property: 4 twentysixes + 30 twentysixes = 104 + 780 = 884. 
Content Standard(s): 
Mathematics MA2019 (2019) Grade: 4  3. Determine and justify solutions for multistep word problems, including problems where remainders must be interpreted.
a. Write equations to show solutions for multistep word problems with a letter standing for the unknown quantity.
b. Determine reasonableness of answers for multistep word problems, using mental computation and estimation strategies including rounding.
Alabama Alternate Achievement Standards
 Mathematics MA2019 (2019) Grade: 4  11. Find the product of two factors (up to four digits by a onedigit number and two twodigit numbers), using strategies based on place value and the properties of operations.
a. Illustrate and explain the product of two factors using equations, rectangular arrays, and area models.
Alabama Alternate Achievement Standards



Tags:

area, divide, dividends, divisor, equations, operations, perimeter, place value, quotients, rectangles, remainders, word problems 
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Accessibility  Text Resources: Content is organized under headings and subheadings 
Comments  There are five lessons in this topic.
This resource is free for teachers to access and use. All resources required for the lessons are available to print from the site. 