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Percentages – Finding the Part

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With our Percentages – Finding the Part lesson plan, students learn how to find the missing part in a percentage problem. Students practice both solving and writing problems during 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 your students create a coloring page for another student to complete with problems based off of the missing part.

Description

What our Percentages – Finding the Part lesson plan includes

Lesson Objectives and Overview: Percentages – Finding the Part teaches students strategies for finding the missing percent or part of percentage problems. At the end of the lesson, students will be able to calculate the missing percent of percentage problems using the proportion method. This lesson is for students in 5th grade and 6th 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.

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 addition to this lesson is to have your students create a coloring page for another student to complete with problems based off of the missing part. If you have students who are struggling with this lesson, you can revisit the concept of percent as a fraction out of 100. Finally, if you have more advanced students, you can begin to incorporate percentages and parts greater than 100 or the whole and discuss the meaning of a percent or part over 100.

Teacher Notes

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

PERCENTAGES – FINDING THE PART LESSON PLAN CONTENT PAGES

Percentages – Finding the Part

The Percentages – Finding the Part lesson plan includes two content pages. It’s important to learn how to calculate percentages, parts, and the whole. You will often only have two of the three components and must solve for the missing piece. 

To find a missing part, you can use the proportion method. This method sets the pieces up as two ratios or fractions. Using this method is an easy way to solve these problems.

The proportion method is set up as part/whole = percent/100. The percent is the number with the percent sign, the part is the number with the word “is,” and the whole is the number with the word “of”. The 100 is constant, because a percent is always a number out of 100.

Examples

Let’s look at an example. What number is 30% of 60? To solve, we first need to figure out what part is missing. Because the question includes the word “is,” we know that we need to find the part. Next, we need to determine which numbers correspond to which pieces of the proportion. The percent is the number with the percent symbol and whole is the number with the word “of,” so the percent is 30 and the whole is 60.

Next, we plug the numbers into the proportion: x/60 = 30/100, where x is the unknown part. We then cross multiply the find the missing part: 100*x = 60*30 becomes 100x = 1800, which becomes 1800/100 = 100x/100, which finally gives us our final answer of 18 = x. Therefore, the solution is that 18 is 30% of 60.

Let’s look at another example. What number is 7.4% of 125? Again, we need to find the missing part. We plug in the numbers into the proportion and cross multiply to solve: x/125 = 7.4/100 becomes 125*7.4/100 = x, which gives us our final answer of x = 9.25. Therefore, 9.25 is 7.4% of 125.

PERCENTAGES – FINDING THE PART LESSON PLAN WORKSHEETS

The Percentages – Finding the Part 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.

DISCOUNTS ACTIVITY WORKSHEET

For the activity worksheet, students will find five items that they might want to buy at the mall and write discount word problems for each of them based on the information they can find from the stores either online or in the newspaper.

PERCENT PROPORTION PRACTICE WORKSHEET

The practice worksheet asks students to solve five percent proportion problems, one of which is a word problem.

PERCENTAGES – FINDING THE PART HOMEWORK ASSIGNMENT

For the homework assignment, students will solve eight problems using the proportion method.

QUIZ

This lesson also includes a quiz that you can use to test students’ understanding of the lesson material. For the quiz, students will write the proportion method formula and give a definition for each component.

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

5th Grade, 6th Grade

subject

Math

State Educational Standards

LB.Math.Content.6.RP.A.3.C

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