# Fraction Multiplication, Explain

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With our Fraction Multiplication, Explain lesson plan, students learn how to multiply fractions by both whole numbers and other fractions. Students complete practice problems as a part of this lesson.

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 students create their own problems using large and small numbers to demonstrate resizing.

# What our Fraction Multiplication, Explain lesson plan includes

Lesson Objectives and Overview: Fraction Multiplication, Explain teaches students how to multiply fractions with both whole numbers and other fractions. At the end of the lesson, students will be able to multiply fractions with whole numbers to produce a product greater than the given number and multiply a fraction by a fraction to produce a number less than the given number. This lesson is for students in 5th 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 scissors and tape or glue.

#### 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. If you have students who are struggling with the lesson, they can use standard-based fractions. For an additional activity, you can have students create their own problems using large and small numbers to demonstrate resizing. You can also use a computer to demonstrate image resizing. Finally, if you have more advanced students, you can add decimals and percents to the lesson.

### Teacher Notes

The teacher notes page includes a paragraph with additional guidelines and things to think about as you begin to plan your lesson. This page also includes lines that you can use to add your own notes as you’re preparing for this lesson.

## FRACTION MULTIPLICATION, EXPLAIN LESSON PLAN CONTENT PAGES

### Fraction Multiplication, Explain Multiplication as Scaling

The Fraction Multiplication, Explain lesson plan includes three content pages. The lesson begins by explaining that we call multiplication changing the size of an original number scaling. Scaling can make a number larger or smaller. We often call multiplication as scaling resizing. We can also resize something by making it larger or smaller. Some of the things we might scale, or resize, are maps, models, and photographs.

### Fractions Multiplied by a Whole Number

If you multiply a fraction and a whole number, the original number becomes larger. If we want to make something larger through scaling, we have to use a factor larger than 1. The lesson provides a few examples. The equation 1/2 x 10 = 5 means that one half scaled by a factor of 10 is equal to 5. 5 is greater than 1/2.

The equation 1/3 x 4. = 4/3 means that one third scaled by a factor of 4 is equal to 4/3. 4/3 is greater than 1/3. Finally, 2/5 x 312 = 624/5 means that two fifths scaled by a factor of 312 equals 624/5. 624/5 is greater than 2/5. When you look at these examples, you can begin to understand how equations relate to scaling and how to talk about them using these terms.

### Fractions Multiplied by a Fraction

Multiplying a fraction by another fraction makes the original number smaller. If we want to make something smaller through scaling, we have to use a factor smaller than 1. The lesson provides a few examples. The equation 1/2 x 1/4 = 1/8 means that one half scaled by a factor of 1/4 equals 1/8. 1/8 is less than 1/2.

The equation 2/3 x 3/4 = 6/12 means that two thirds scaled by a factor of 3/4 is equal to 6/12. 6/12 is less than 1/7. Finally, 4/7 x 1/100 = 4/700 means that four sevenths scaled by a factor of 1/100 equals 4/700. All of these examples show that multiplying two fractions makes the original number smaller. They also show how equations relate to scaling. Understanding the basic rules of scaling will help us predict an answer without having to solve the problem.

## FRACTION MULTIPLICATION, EXPLAIN LESSON PLAN WORKSHEETS

The Fraction Multiplication, Explain lesson plan includes three worksheets: an activity worksheet, a practice worksheet, and a homework assignment. You can refer to the guide on the classroom procedure page to determine when to hand out each worksheet.

### CUBES ACTIVITY WORKSHEET

For the activity worksheet, students will cut out the provided cube nets and glue them together. The class will then discuss which cube represents an increase and which represents a decrease. Students can write numbers on the cube to show a fraction multiplied by a whole number and a fraction multiplied by another fraction.

### SOLVING PROBLEMS PRACTICE WORKSHEET

The practice worksheet asks students to identify the greater number without multiplying. They will also read and solve a word problem that involves scaling.

### FRACTION MULTIPLICATION, EXPLAIN HOMEWORK ASSIGNMENT

For the homework assignment, students will read and answer a question about scaling and how it works. This will test students’ understanding of the lesson material.

This lesson plan includes answer keys for the practice worksheet and the homework assignment. 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.

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KM
12/14/2020 US

### Fantastic Resources

The materials were complete and very user friendly.

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05/07/2020 US

### Excellent

I dropped out of school and this has been great in helping me catch up to a college level so I can finish my degree

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03/02/2020 US

### Fraction Multiplication

Using this with my students was easy and very helpful