Embedded Files
Learning Objective/s
• Define and illustrate the meaning of percent using concrete or pictorial models
• Find the percentage or rate or percent in a given problem
• Solve routine and non-routine problems involving finding the percentage, rate, and base using appropriate strategies and tools
Success Criteria
Discussions
To change a non-decimal fraction to percent, first, change it to a fraction with a denominator of 100 (decimal fraction), and then change it to percent. You may also draw a part-whole model.
Follow these steps:
Step 1: Use the base to represent 1 whole or 100%.
Step 2: Use the numerator to determine the value of 1 unit in percent.
Step 3: Multiply 1 unit by the number of parts to get the percent form of the fraction.
To change percent to a decimal, first write the percent as a decimal fraction. Then, write it as a decimal. Another option is to simply drop the % symbol and move the decimal point two places to the left. Moving the decimal point 2 decimal places to the left is a shortcut for dividing the number by 100.
To change a decimal to percent, just do the opposite. Move the decimal point two decimal places to the right and then annex the % symbol after the number. Moving the decimal point 2 decimal places to the right is a shortcut for multiplying the numerator of the corresponding decimal fraction by 100. Study the examples below:
You can change a non-decimal fraction to percent using another option. First, apply equivalent fractions to change the fraction to a decimal fraction. Then, change the decimal fraction to percent. Another way is to divide the numerator by the denominator. Then, change the quotient to percent. Study the given examples.
Below are some percentages and fractions that are frequently used in your everyday life.
For example, baking requires you to mix the exact amount of ingredients in cake recipe. You also use fractions to tell time when you say “quarter to 10” or “half past 1.” It is worthwhile for you to remember these values.
Proportion is often used to solve percentage problems. One of the ratios in these proportions is always a comparison of two numbers called percentage and the base. The other ratio, known as the rate, is a fraction with a denominator of 100.
Cross Curricular Link
Social Studies - examining the percentage of population of the different countries.
Real Life- Application
Calculating discounts during shopping, helping them understand how much money they can save and enhancing their practical math skills.
Evaluation
Performance Task:
Work in groups to do these tasks. Color 10 squares blue, 18 squares yellow, 22 squares red, and 25 squares green. Then, answer the questions that follow. Write your answers in the blanks.
1. How many squares are in the figure? _____
2. How many squares are not shaded? _____
3. What percent of the figure is blue? _____
4. What percent of the figure is yellow? _____
5. What percent of the figure is red? _____
6. What percent of the figure is green? _____
7. What percent of the figure is not shaded? _____
8. What percent of the figure is either blue or yellow? _____
9. What percent of the figure is not blue? _____
10. What percent of the figure is red, yellow, or green? _____
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