Multiplying Fractions Using A Number Line or Graphic

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Multiplying Fractions Using A Number Line or Graphic teaches students about fractions using visual aids, such as a number line or graphic, to help them visually understand multiple fraction operations.

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 let your students use a dry erase board to write on their fraction number lines.

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Description

What our Multiplying Fractions Using A Number Line or Graphic lesson plan includes

Lesson Objectives and Overview: Multiplying Fractions Using A Number Line or Graphic teaches students how to multiply fractions using a number line or graphic method. At the end of the lesson, students will understand a fraction a/b as a multiple of 1/b. Students will also be able to use visuals
to display multiples of fractions. 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 only supplies needed for this lesson are colored pencils.

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 optional adjustment to the lesson is to let your students use a dry erase board to write on their fraction number lines. You could have students color sections with map colors for each problem. You could also have your students draw their own number lines and work with a partner to write the math sentence. Finally, you could have students draw shapes and color them in to practice creating and using visual models.

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.

MULTIPLYING FRACTIONS USING A NUMBER LINE OR GRAPHIC LESSON PLAN CONTENT PAGES

Fractions as Multiples

The Multiplying Fractions Using A Number Line or Graphic lesson plan includes three content pages. It starts by explaining that multiplication is repeated addition. For example, we can simplify 3 + 3 + 3 + 3 to 3 times 4 (3 x 4). Using math language, we would say we’re finding the product of 3 and 4. However, sometimes we need to multiply using fractions instead of whole numbers. There are two main models that you can use to explore this concept.

Using a Number Line to Solve Multiplication Equations

First, you can use a number line. The first example shows a number line separated into fourths, where each section represents one fourth of the whole (1/4). If you’re looking at two sections, the multiplication sentence is 2 x 1/4.

The next example number line is broken in sixths, where each section represents one sixth of the whole (1/6). If you’re looking at four sections, the multiplication sentence is 4 x 1/6.

The lesson then asks students to try solving one on their own using a number line broken into sixths. They need to represent the multiplication sentence 3 x 1/6 on the number line.

This section includes one final example using a number line broken into eighths. If you’re looking at 7 sections, the multiplication sentence is 7 x 1/8.

Using a Graphic to Solve Multiplication Problems

Next, students will learn to use a graphic to solve multiplication problems. Each shape in the example has the same fractional amount shaded. When writing a multiplication sentence using graphics to represent fractions, you first need to answer two questions: How many times does the shape repeat? and What is the amount shaded in each shape?

The first example shows a shape that repeats 6 times and where each section represents 1/4. The multiplication sentence for this problem is 6 x 1/4.

Next, another example shows a shape that repeats 3 times and where each section represents 1/5. The multiplication sentence for this problem is 3 x 1/5.

Finally, a last example shows a shape that repeats 7 times and where each section represents 1/2. The multiplication sentence for this problem is 7 x 1/2.

The lesson closes by asking students to solve one on their own. They must use circles or squares to draw a graphic representation of the multiplication sentence 3 x 1/2.

MULTIPLYING FRACTIONS USING A NUMBER LINE OR GRAPHIC LESSON PLAN WORKSHEETS

The Multiplying Fractions Using A Number Line or Graphic 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.

CREATING EQUATIONS ACTIVITY WORKSHEET

For the activity worksheet, students will create multiplication equations for each number line shown on the worksheet. They will write the equation under the number line. The worksheet includes an example.

MULTIPLICATION SENTENCE PRACTICE WORKSHEET

The practice worksheet asks students to answer several questions about the lesson material to test their understanding of it. It asks questions about models, multiplications sentences, and how they interact.

MULTIPLYING FRACTIONS USING A NUMBER LINE OR GRAPHIC HOMEWORK ASSIGNMENT

Like the practice worksheet, the homework assignment asks students to answer several questions about the lesson material to test their understanding of it. It also asks questions about models, multiplications sentences, and how they interact.

Worksheet Answer Keys

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.

Additional information

grade-level

3rd Grade, 4th Grade

subject

Math

State Educational Standards

LB.Math.3.NF.A.2
LB.Math.C4.NF.B.4.A