## Percentage Problems

### Subject: Mathematics

### Grades: 9-12

**Standard:**Real and Complex Number Systems

**Objective:**

-Students will be able to solve percentage problems for the base or the percent by using various mathematical computations.

**Background:**

-This lesson takes place during the fall in the first quarter of the semester. This is an introductory lesson to percentages and all students will begin using the same basic method and then split into groups using more appropriate methods to their learning styles. The students have become accustomed to the routines of the classroom and are familiar with the color-coded lessons and group work.

**Materials:**

-Projector

-SmartBoard

-Pre-made color-coded example problems

-Behavior Cards

-Pencils

-Paper

-Calculator

-Percentage Square Paper

-Communicator Board

-Dry Erase Marker and Eraser

-Worksheet

-Percentage Proportion Chart

**Introduction:**

1. The teacher will project a premade example onto the SmartBoard with an orange background. The students have become accustomed to the routine and know that an orange background means they are reviewing past information.

2. The teacher will allow the students a few minutes to work the problems out on scratch paper. The teacher will then call on students to answer questions on how to get the answer. The teacher will reward students who are actively participating with behavior cards given out at random intervals.

3. The teacher will display a premade example onto the SmartBoard with a green background. The students have become accustomed to the routine and know that a green background means the teacher will be presenting new information.

4. The teacher will pass out the communicator boards that have already had the percentage square paper placed inside. The teacher will then pass out the dry erase markers and erasers to the students explaining that when they are not using the markers they are to put the lids on fully and on their tables. The teacher will instruct the students that improper use will result in the loss of the privilege of using the boards.

5. The teacher will begin the lesson by displaying a one hundred square percentage box. The teacher will instruct the students that each row is the same as 10% and a full square is 100%.

6. The teacher will display on the SmartBoard the question What is 50% of 200? The teacher will demonstrate to the students how they use the one-hundred square percentage box to determine the value of one individual square. (200 divided by 100 = 2) Then the teacher will demonstrate how to count the total percentage. Using the communication board, the students will draw out several problems to solve the percentage of a number.

7. After watching the teacher demonstrate several problems the students will begin working in groups to apply the knowledge they have of

finding the percentage of a number.

**Tier 1: Below Grade Level Learners**

(Special Materials: Communicator Board, dry erase marker, eraser)

-Students in this tier will continue to use the communicator boards to visually explore the concept of percentages.

-The students will first outline the squares that equal the percentage in the problem. They will then find out the value for each individual square by dividing the base by 100. The students will then be able to add each row of squares to determine the percentage.

**Tier 2: Grade Level Learners**

(Special Materials: Percentage Proportion chart)

-The students in this learning tier will complete a percentage proportion chart. The chart shows the part over the whole is equal to the percent of 100. The students will use the skill of cross multiplying to solve for the percentage. The students will be required to look for specific key words that let them know where the numbers should be placed in the proportion chart. (Is=part, of=whole, and %= percent)

**Tier 3: Above Grade Level Learners**

(No special materials needed)

**Summary:**

-The goal of this lesson was for students to gain an understanding of computing percentages. In this lesson the students were instructed on how to find the percent of a number. The students began this lesson with a miniature review of information that they have learned in past lessons that could be applied to their new lesson. The teacher then demonstrated on method of solving for the percent of a number. The students then divided into groups where they worked using math tools to help based on their individual needs. The students in tier 1 were given a more visual representation of percentages while the students in tier 3 had to rely on their mathematical skills and setting up expressions.

**Assessment:**

-This activity was an introductory lesson to the first part of working with percentages. The students will be graded on a worksheet that they complete for homework. The next few days will cover additional information on percentages and will be followed up with a unit test at the end of the week.