Lesson Plan

Area Models and Mixed Numbers

Help students visually represent multiplication with mixed numbers and whole numbers. Use this lesson as a standalone lesson, or as support for the lesson Multiplication of Mixed Numbers with Area Models.
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This lesson can be used as a pre-lesson for the Multiplication of Mixed Numbers with Area Models lesson plan.
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This lesson can be used as a pre-lesson for the Multiplication of Mixed Numbers with Area Models lesson plan.

Objectives

Academic

Students will be able to use an area model to solve multiplication problems with mixed numbers.

Language

Students will be able to review their thinking on how to decompose mixed numbers in multiplication problems using visuals and area models.

Introduction

(5 minutes)
Review Your Thinking!Vocabulary Cards: Area Models and Mixed NumbersGlossary: Area Models and Mixed NumbersTeach Background Knowledge TemplateWrite Student-Facing Language Objectives Reference
  • Review area as additive with students by having them find the combined area of your classroom and your neighbor's classroom (e.g., (23 x 10) + (16 x 10) = (39 x 20) = 780 sq ft.).
  • Use key vocabulary, such as "area" and "by" to represent multiplication. Use sequencing words as you solve this problem together, such as:
    • "First, I ________."
    • "After I ________, I ____________."
    • "Then, I ________."
    • "My next step was ____________."
  • Model how to transfer the information to an area model with two rectangles and label each of the rectangles as the prospective room (e.g., the first rectangle would be your classroom dimensions and the second rectangle would be the neighbor's classroom dimensions). Ask for volunteers to provide the next steps to find the area of both of the classrooms.
  • Tell students that today they will work on finding the area of a mixed number and whole number in a multiplication problem.

Related Guided Lesson

Fractions 3

2 games
6 online exercises
5 printable worksheets
View Guided Lesson
Grade
fifth grade
Subject Math