Percentage and Whole Number Concepts

This lesson, led by Mrs. Apia, focuses on finding 100% of a quantity when given a percentage of it. Students learn various methods, including using factors of 100, equations, mental math, and double number line models. The lesson includes exercises and examples, such as calculating the total number of students in a band, tire sales, fantasy baseball points, and savings account problems. The goal is to equip students with strategies to solve percent problems both with and without equations.

What is the main goal of the lesson introduced by Mrs. Apia?

• To memorize the factors of 50.

• To learn how to find 50% of a quantity.

• To understand how to find 100% of a quantity given another percent.

• To solve complex algebraic equations.

Why is it important to know the factors of 100 in this lesson?

• To calculate the area of a square.

• To determine the number of equal size intervals in double number lines.

• To solve quadratic equations.

• To find the perimeter of a rectangle.

In Example 1, what percentage of the band do the 42 students who play wind instruments represent?

• 25%

• 100%

• 50%

• 75%

How many students are in the band if 42 students represent 75% of the band?

• 42

• 100

• 56

• 84

In the tire sales example, what is the greatest common factor used to solve the problem?

• 25

• 20

• 15

• 10

If Nick has 7200 points, which is 20% more than Adam, how many points does Adam have?

• 6000

• 7200

• 8400

• 5600

What is the method used to find the whole when 39 is 1% of a number?

• Divide by 100

• Divide by 10

• Multiply by 10

• Multiply by 100

In Exercise 5, what percentage of his savings did Nelson use for his class trip?

• 25%

• 35%

• 50%

• 75%

How much money did Nelson have in his savings account before the trip if he used $140, which was 35% of his savings?

• $300

• $200

• $500

• $400

What are the methods summarized at the end of the lesson for finding 100% of a whole?

• Using only mental math

• Using graphs and charts

• Using only equations

• Using factors of 100 and double number lines