Objective

By the end of this lesson, you will be able to represent and operate with fractions, decimals, and percentages to solve problems.

Materials and Prep

• Paper and pencil
• Calculator (optional)
• No prior knowledge required

Activities

• Activity 1: Fraction, Decimal, Percentage Match-Up

  Write down a list of fractions, decimals, and percentages on separate cards or pieces of paper. Shuffle them and then match each fraction with its corresponding decimal and percentage. For example, match 1/2 with 0.5 and 50%. This activity will help reinforce the relationship between fractions, decimals, and percentages.

• Activity 2: Fraction, Decimal, Percentage Conversion

  Choose a few fractions and convert them into decimals and percentages. For example, convert 3/4 into decimal and percentage form. This activity will help you practice converting between different representations of numbers.

• Activity 3: Word Problems

  Create or find some word problems that involve fractions, decimals, and percentages. Solve the problems step-by-step, using the appropriate operations and representations. This activity will help you apply your knowledge to real-life situations.

Talking Points

• Fractions: Fractions represent parts of a whole. They consist of a numerator (top number) and a denominator (bottom number). For example, in the fraction 3/4, 3 is the numerator and 4 is the denominator.

• Decimals: Decimals are another way to represent parts of a whole. They use a decimal point to separate the whole number part from the fractional part. For example, the decimal 0.75 represents the fraction 3/4.

• Percentages: Percentages are a way to express a fraction or a decimal as parts per hundred. The symbol "%" is used to represent percentages. For example, the percentage 75% represents the fraction 3/4 and the decimal 0.75.

• Converting Fractions to Decimals: To convert a fraction to a decimal, divide the numerator by the denominator. For example, to convert 3/4 to a decimal, divide 3 by 4, which equals 0.75.

• Converting Fractions to Percentages: To convert a fraction to a percentage, multiply the fraction by 100. For example, to convert 3/4 to a percentage, multiply 3/4 by 100, which equals 75%.

• Converting Decimals to Fractions: To convert a decimal to a fraction, write the decimal as a fraction with the decimal part as the numerator and the appropriate power of 10 as the denominator. For example, 0.75 can be written as 75/100, which simplifies to 3/4.

• Converting Decimals to Percentages: To convert a decimal to a percentage, multiply the decimal by 100 and add the "%" symbol. For example, to convert 0.75 to a percentage, multiply 0.75 by 100, which equals 75%.

• Converting Percentages to Fractions: To convert a percentage to a fraction, write the percentage as a fraction with the number as the numerator and 100 as the denominator. For example, 75% can be written as 75/100, which simplifies to 3/4.

• Converting Percentages to Decimals: To convert a percentage to a decimal, divide the percentage by 100. For example, to convert 75% to a decimal, divide 75 by 100, which equals 0.75.