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This lesson on percentages focuses on converting between fractions, decimals, and percentages through practical examples and problem-solving. Students will learn to express percentages as fractions in simplest form and as decimals. By applying two distinct methods for conversion, students will strengthen their comprehension of equivalent forms. The lesson includes a 'Problem of the Day' and quizzes to assess understanding. Engage students with relatable scenarios involving comic books, scoring in sports, and time spent on activities to enhance their grasp of percentage calculations.
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Warm Up Problem of the Day Lesson Presentation Lesson Quizzes
37 39 ___ ___ 100 50 Warm Up Write each percent as a fraction in simplest form. 1. 37% 2. 78% Write each percent as a decimal. 3. 59% 4. 7% 0.07 0.59
Problem of the Day Jennifer gave Karen 50% of her comic books. Karen gave Jack 50% of the books she got from Jennifer. Jack gave Lucas 50% of the books he got from Karen. Lucas got 4 comic books. What percent of Jennifer’s comic books does Lucas have? 12.5%
Sunshine State Standards MA.6.A.5.1 Use equivalent forms of fractions, decimals, and percents to solve problems. AlsoMA.6.A.5.2
7 __ 10 7 • 10 70 _______ ___ 10 • 10 100 70 ___ 100 Additional Example 1A: Writing Decimals as Percents Write the decimal as a percent. Method 1: Use place value. 0.7 0.7 = Write the decimal as a fraction. Write an equivalent fraction with 100 as the denominator. = Write the numerator with a percent symbol. = 70%
Additional Example 1B: Writing Decimals as Percents Write the decimal as a percent. Method 2: Multiply by 100. 0.4118 0.4118 • 100 Multiply by 100. 41.18% Add the percent symbol.
Check It Out: Example 1A Write the decimal as a percent. 0.023 2.3%
Check It Out: Example 1B Write the decimal as a percent. 0.018 1.8%
Check It Out: Example 1C Write the decimal as a percent. 0.957 95.7%
Helpful Hint When the denominator is a factor of 100, it is often easier to use method 1. When the denominator is not a factor of 100, it is usually easier to use method 2.
9 __ 25 9 • 4 36 ______ ___ 25 • 4 100 36 ___ 100 Additional Example 2A: Writing Fractions as Percents Write the fraction as a percent. Method 1: Write an equivalent fraction with a denominator of 100. Write an equivalent fraction with 100 as the denominator. = Write the numerator with a percent symbol. = 36%
3 __ 20 0.15 20 3.00 –20 100 –100 0 Additional Example 2B: Writing Fractions as Percents Method 2: Use division to write the fraction as a decimal. Divide the numerator by the denominator. Multiply by 100 by moving the decimal point right two places. Add the percent symbol. 0.15 = 15%
7 7 __ __ 50 50 7 • 2 14 ______ ___ 50 • 2 100 Check It Out: Example 2A Write the fraction as a percent. = = = 14%
11 11 __ __ 50 50 11 • 2 22 ______ ___ 50 • 2 100 Check It Out: Example 2B Write the fraction as a percent. = = = 22%
7 __ 25 7 __ 25 7 • 4 28 ______ ___ 25 • 4 100 28 ___ 100 Additional Example 3: Application One year, of people with home offices were self-employed. What percent of people with home offices were self employed? Write an equivalent fraction with a denominator of 100. = = 28% Write the numerator with a percent symbol. 28% of people with home offices were self-employed.
9 9 __ __ 20 20 9 • 5 45 ______ ___ 20 • 5 100 Check It Out: Example 3A During the soccer season, of Evan’s teammates scored a goal. What percent of Evan’s teammates scored a goal? = = = 45%
1 1 __ __ 5 5 1 • 20 20 ______ ___ 5 • 20 100 Check It Out: Example 3B Jo spends of her time at the gym doing stretches to warm up. What percent of Jo’s time at the gym does she spend stretching? = = = 20%
2 2 __ __ 5 5 2 • 20 ___ 40 ______ 5 • 20 100 Check It Out: Example 3C George wants of the calories he eats to come from protein. What percent of George’s calories should come from protein? = = = 40%
The number line below shows common equivalent fractions, decimals, and percents.
Lesson Quizzes Standard Lesson Quiz Lesson Quiz for Student Response Systems
9 1 __ __ 16 5 1 __ 16 Lesson Quiz Write each decimal as a percent. 1. 0.26 2. 0.419 Write each fraction as a percent. 3.4. 5. About of all the students at a local high school own their own car. What percent is this? 26% 41.9% 56.25% 20% 6.25%
Lesson Quiz for Student Response Systems 1. Which of the following represents the decimal 0.37 as a percent? A. 0.37% B. 37% C. 3.7%D. 370%
Lesson Quiz for Student Response Systems 2. Which of the following represents the decimal 0.143 as a percent? A. 143% B. 1.43% C. 14.3%D. 0.143%
Lesson Quiz for Student Response Systems 3. Which of the following represents the fraction as a percent? A. 0.24% B. 24% C. 2.4%D. 240%
Lesson Quiz for Student Response Systems 4. Which of the following represents the fraction as a percent? A. 78.75% B. 68.75% C. 70%D. 60%
Lesson Quiz for Student Response Systems 5. Mike correctly answered of the questions on his math test. What percent of the questions were answered correctly? A. 4.5% B. 80% C. 45%D. 90%
