Multiply Fractions by Whole Numbers

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Our Multiply Fractions by Whole Numbers lesson plan teaches students how to multiply fractions by whole numbers into four steps. Students complete practice problems using the four steps in order to solidify their understanding of the lesson material.

Included with this lesson are some adjustments or additions that you can make if you’d like, found in the “Options for Lesson” section of the Classroom Procedure page. One of the optional additions to this lesson is to have your more advanced students start off using two-digit whole numbers and larger denominators.

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Description

What our Multiply Fractions by Whole Numbers lesson plan includes

Lesson Objectives and Overview: Multiply Fractions by Whole Numbers breaks down multiplying fractions by whole numbers into four steps. The lesson explains each step in depth and provides several example problems showing how to work through each step. At the end of the lesson, students will be able to understand a multiple of a/b as a multiple of 1/b, and use this understanding to multiply a fraction by a whole number. This lesson is for students in 3rd grade and 4th grade.

Classroom Procedure

Every lesson plan provides you with a classroom procedure page that outlines a step-by-step guide to follow. You do not have to follow the guide exactly. The guide helps you organize the lesson and details when to hand out worksheets. It also lists information in the blue box that you might find useful. You will find the lesson objectives, state standards, and number of class sessions the lesson should take to complete in this area. In addition, it describes the supplies you will need as well as what and how you need to prepare beforehand. The supplies you will need for this lesson are die and a bag of dominoes. To prepare for this lesson ahead of time, you can gather the supplies and copy the handouts.

Options for Lesson

Included with this lesson is an “Options for Lesson” section that lists a number of suggestions for activities to add to the lesson or substitutions for the ones already in the lesson. One of the optional additions to this lesson is to review multiplication facts with students at the beginning of the lesson. If you have more advanced students, they can start off using two-digit whole numbers and larger denominators. You can also provide multi-faced die for challenges. Finally, you can ask your students how they think you could multiply two fractions together—would they use the same strategy?

Teacher Notes

The teacher notes page includes lines that you can use to add your own notes as you’re preparing for this lesson.

MULTIPLY FRACTIONS BY WHOLE NUMBERS LESSON PLAN CONTENT PAGES

Multiply Fractions by Whole Numbers

The Multiply Fractions by Whole Numbers lesson plan includes one content page. The lesson begins by explaining the four steps for multiplying a whole number by a fraction. The first step is to rewrite the whole number as a fraction. We can rewrite whole numbers as fractions by placing the whole number in the numerator and a 1 in the denominator (7 becomes 7/1, for example). The second step is to multiply the numerators straight across (multiplying the numerator of the first fraction by the numerator of the second fraction). The third step is to multiply the denominators straight across (multiplying the denominator of the first fraction by the denominator of the second fraction). Finally, the fourth step is to reduce the fraction as needed and change the improper fraction into a mixed number.

The lesson ends with two examples that demonstrate all four steps one by one. Students can use these examples as a guide as they begin solving practice problems.

MULTIPLY FRACTIONS BY WHOLE NUMBER LESSON PLAN WORKSHEETS

The Multiply Fractions by Whole Numbers lesson plan includes four worksheets: an activity worksheet, a practice worksheet, a homework assignment, and a quiz. You can refer to the guide on the classroom procedure page to determine when to hand out each worksheet.

ROLL THE DICE ACTIVITY WORKSHEET

The activity worksheet asks students to roll dice to find a whole number and draw a domino to create a fraction. They will then multiply the two numbers together, setting their problems up like the blank example shown on the worksheet. They must show their work and circle their answers.

MULTIPLY PRACTICE WORKSHEET

For the practice worksheet, students will solve 15 practice multiplication problems.

MULTIPLY FRACTIONS BY WHOLE NUMBERS HOMEWORK ASSIGNMENT

Much like the practice worksheet, the homework assignment asks students to solve 12 practice multiplication problems.

QUIZ

This lesson includes a quiz that you can use to test students’ knowledge and understanding of the lesson material. For the quiz, students will first make two whole numbers into fractions. They will then solve two multiplication problems.

Worksheet Answer Keys

This lesson plan includes answer keys for the practice worksheet, the homework assignment, and the quiz. If you choose to administer the lesson pages to your students via PDF, you will need to save a new file that omits these pages. Otherwise, you can simply print out the applicable pages and keep these as reference for yourself when grading assignments.

Additional information

grade-level

3rd Grade, 4th Grade

subject

Math

State Educational Standards

LB.Math.Content.3.NF.A.2, LB.Math.Content.4.NF.B.4.B

Lessons are aligned to meet the education objectives and goals of most states. For more information on your state objectives, contact your local Board of Education or Department of Education in your state.