Sales and Scores: Finding a Percent of a Number

About This Resource

A complete Grade 6 math lesson pack on finding a percent of a number: percent as "out of 100", benchmark percents (50%, 25%, 10%, 1%), using 10% to build other percents, writing percents as fractions and decimals, finding a percent with a bar model or a double number line, and solving real-world problems with discounts, tips, test scores and survey results. Includes slides with worked examples, a timed lesson plan, flashcards, worksheet, quiz, homework, rubric and answer key.

Overview

Students learn that percent means "per hundred" and connect percents to fractions and decimals (25% = 1/4 = 0.25). They find benchmark percents mentally (50% is half, 10% is divide by 10), build other percents from 10% and 5% (35% = 10% + 10% + 10% + 5%), and use bar models and double number lines to see the relationship. They then multiply by a decimal or fraction to find any percent, and apply these strategies to sale prices, test scores, tips and survey results. Worked examples on the slides model every strategy.

Resource Details

Subject: Math
Topic: Finding a Percent of a Number
Category: Number Sense
File Type: PDF
File Size: 318.6 KB
Published: 01 Nov 2026
Downloads: 0

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Grade 6 (ages 11–12) 60 minutes Ratios and rates fractions and decimals mental math modeling problem solving

Learning Objectives

Explain percent as a rate per 100 and convert between percents, fractions and decimals.
Find a percent of a number using benchmark percents, bar models, double number lines and multiplication.
Solve real-world problems involving discounts, scores and surveys, and check that answers are reasonable.

How to Use This Resource

Start with slide 1: a sign reads "30% off" a $40 game. Ask how much students would save and how they would work it out.
Teach percent meaning, benchmark percents, building from 10%, models and multiplication with the slides, letting students try each worked example first.
Students complete the worksheet, then use the quiz to check and the homework for practice. Answers are in the answer key.

Classroom Activity Ideas

Store flyers: students choose three items from a pretend sale flyer and calculate the discount and the sale price for each.
Hundred grid art: students color a hundred grid with three colors and write each color as a percent, fraction and decimal.
Class survey: students survey 20 classmates, then find what percent chose each answer and present the results.

Differentiation

Support: use hundred grids and bar models divided into 10 equal parts, and focus on multiples of 10%. Challenge: find percents such as 12.5% and 150%, calculate the final price after a discount and tax, and explain why 20% off followed by 10% off is not the same as 30% off.

Assessment

Worksheet activities and the quiz check conversions, finding percents and problem solving (answer key included). The explanation questions and rubric assess reasoning and strategy choice.

Teacher Tips

Make 10% the anchor of the lesson. Once students can find 10% by dividing by 10, they can reach almost any percent by adding or doubling (20%, 30%, 5%, 15%). Always ask for an estimate first: "Is 35% of 80 more or less than half?"

What's Included

10-page printable PDF lesson pack: teacher lesson plan with timings, materials and differentiation
Key vocabulary list (7 words with meanings and examples)
Student worksheet (6 activities)
Quiz / assessment (3 parts)
Homework practice page
Printable flashcards: 7 A5 picture cards (separate PDF)
Assessment rubric (4 levels)
Lesson slides (editable PowerPoint)
Editable Word version of all student pages
Complete answer key (also as a separate PDF)