ALEX Classroom Resource

Grade 4 Mathematics Module 3, Topic H: Multiplication of Two-Digit by Two-Digit Numbers

Classroom Resource Information

Title:

Grade 4 Mathematics Module 3, Topic H: Multiplication of Two-Digit by Two-Digit Numbers

URL:

Content Source:

EngageNY
Type: Lesson/Unit Plan

Overview:

Module 3 closes with Topic H as students multiply two-digit by two-digit numbers. Lesson 34 begins this topic by having students use the area model to represent and solve the multiplication of two-digit multiples of 10 by two-digit numbers using a place value chart. Practice with this model helps to prepare students for two-digit by two-digit 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 multi-digit 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 two-digit by two-digit numbers. Knowledge from Lessons 3437 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 twenty-sixes + 30 twenty-sixes = 104 + 780 = 884.

Content Standard(s):
Tags: area, divide, dividends, divisor, equations, operations, perimeter, place value, quotients, rectangles, remainders, word problems