Absolute Value Inequalities Lesson Plan for 9th Grade Students

Topic: absolute value inequalities

Objectives & Outcomes

• By the end of this lesson, students will be able to solve absolute value inequalities.

Materials

• Graph paper
• Pencils
• Graphing calculators (optional)

Warm-up

• Ask students to give examples of inequalities.
• Write their examples on the board.
• Ask students to explain what an absolute value is and how to find it.

Direct Instruction

• Introduce the concept of absolute value inequalities. Explain that absolute value inequalities are similar to regular inequalities, except that instead of the word "less than" or "greater than," we use the word "absolute value." For example, the inequality 3x - 4 > 2 is the same as the inequality 3x - 4 > 2.
• Introduce the concept of absolute value functions. Explain that an absolute value function is a function that takes a number and returns its absolute value. For example, the absolute value function x returns the absolute value of x, which is the distance of x from zero on the number line.
• Explain how to solve absolute value inequalities. Use the following steps:
• 1.Simplify the absolute value inequality.
• 2.Use the property of absolute value functions to isolate the variable on one side of the inequality.
• 3.Solve the resulting inequality.

Guided Practice

• Give the students several examples of absolute value inequalities and have them work in pairs to solve them. For example:

x - 3 > 4

4x + 3 < 7

x - 4 < -1

Assisted Practice

• Give the students several more examples of absolute value inequalities and have them work in pairs to solve them. For example:

x - 3 > 4

4x + 3 < 7

x - 4 < -1

 

Independent Practice

• Have the students work in pairs or small groups to solve as many absolute value inequalities as they can. Give them enough time to complete this task. -----Procedure:

Guided Practice

• Give the students several examples of absolute value inequalities and have them solve them on their own. For example:

x - 3 > 4

4x + 3 < 7

x - 4 < -1

Assisted Practice

• Give the students several more examples of absolute value inequalities and have them solve them on their own. For example:

x - 3 > 4

4x + 3 < 7

x - 4 < -1

Independent Practice

• Have the students work on a set of absolute value inequalities on their own. ----Evaluation:

Ask the students to solve a few absolute value inequalities on a blank sheet of paper. Check their answers and provide any necessary assistance. ----Independent Practice

• Give the students a set of absolute value inequalities to solve on their own. ----Independent Practice
• Have the students work on a set of absolute value inequalities on their own. ----Independent Practice
• Give the students a set of absolute value inequalities to solve on their own. ----Independent Practice
• Have the students work on a set of absolute value inequalities on their own. ----Independent Practice
• Give the students a set of absolute value inequalities to solve on their own. ----Independent Practice
• Have the students work on a set of absolute value inequalities on their own.- ----Independent Practice
• Give the students a set of absolute value inequalities to solve on their own. ----Independent Practice
• Have the students work on a set of absolute value inequalities on their own. ----Independent Practice
• Give the students a set of absolute value inequalities to solve on their own. ----Independent Practice
• Have the students work on a set of absolute value inequalities on their own. ----Independent Practice
• Give the students a set of absolute value inequalities to solve on their own. ----Independent Practice
• Have the students work on a set of absolute value inequalities on their own. ----Independent Practice
• Give the students a set of absolute value inequalities to solve on their own. ----Independent Practice
• Have the students work on a set of absolute value inequalities on their own. ----Independent Practice
• Give the students a set of absolute value inequalities to solve on their own. ----Independent Practice
• Have the students work on a set of absolute value inequalities on their own. ----Independent Practice
• Give the students a set of absolute value inequalities to solve on their own

Independent Practice

• Have the students work on a set of absolute value inequalities on their own. ----Independent Practice
• Give the students a set of absolute value inequalities to solve on their own. ----Independent Practice
• Have the students work on a set of absolute value inequalities on their own. ----Independent Practice
• Give the students a set of absolute value inequalities to solve on their own. ----Independent Practice
• Have the students work on a set of absolute value inequalities on their own. ----Independent Practice
• Give the students a set of absolute value inequalities to solve on their own. ----Independent Practice
• Have the students work on a set of absolute value inequalities on their own. ----Independent Practice
• Give the students a set of absolute value inequalities to solve on their own. ----Independent Practice
• Have the students work on a set of absolute value inequalities on their own. ----Independent Practice
• Give the students a set of absolute value inequalities to solve on their own. ----Independent Practice
• Have the students work on a set of absolute value inequalities on their own. ----Independent Practice
• Give the students a set of absolute value inequalities to solve on their own. ----Independent Practice
• Have the students work on a set of absolute value inequalities on their own. ----Independent Practice
• Give the students a set of absolute value inequalities to solve on their own. ----Independent Practice
• Have the students work on a set of absolute value inequalities on their own. ----Independent Practice
• Give the students a set of absolute value inequalities to solve on their own. ----Independent Practice
• Have the students work on a set of absolute value inequalities on their own. ----Independent Practice
• Give the students a set of absolute value inequalities to solve on their own. ----Independent Practice
• Have the students work on a set of absolute value inequalities on their own. ----Independent Practice
• Give the students a set of absolute value inequalities to solve on their own. ----Independent Practice
• Have the students work on a set of absolute value inequalities on their own. ----Independent Practice
• Give the students a set of absolute value inequalities to solve on their own. ----Independent Practice
• Have the students work on a set of absolute value inequalities on their own. ----Independent Practice
• Give the students a set of absolute value inequalities to solve on their own. ----Independent Practice
• Have the students work on a set of absolute value inequalities on their own. ----Independent Practice
• Give the students a set of absolute value inequalities to solve on their own. ----Independent Practice

Assessment

• Grade the students' independent practice problems. ____Assessment
• Collect the students' independent practice problems and grade them. ____Assessment
• Evaluate the students' ability to solve absolute value inequalities by grading their independent practice problems. ____Assessment
• Ask the students to reflect on their understanding of absolute value inequalities by having them write a short paragraph on their thoughts. ____Assessment
• Have the students write a short paragraph on their thoughts about absolute value inequalities. ____Assessment
• Collect the students' reflection paragraphs and grade them. ____Assessment
• Evaluate the students' ability to understand absolute value inequalities by reviewing their reflection paragraphs. ____Assessment
• Ask the students to solve a set of absolute value inequalities on their own. ----Assessment
• Have the students solve a set of absolute value inequalities on their own. ----Assessment
• Collect the students' solution to the absolute value inequalities and grade them. ____Assessment
• Evaluate the students' ability to solve absolute value inequalities by grading their solutions. ____Assessment
• Ask the students to solve a set of absolute value inequalities on their own. ----Assessment
• Have the students solve a set of absolute value inequalities on their own. ----Assessment
• Collect the students' solution to the absolute value inequalities and grade them. ____Assessment
• Evaluate the students' ability to solve absolute value inequalities by grading their solutions. ____Assessment
• Ask the students to solve a set of absolute value inequalities on their own. ----Assessment
• Have the students solve a set of absolute value inequalities on their own. ----Assessment
• Collect the students' solution to the absolute value inequalities and grade them. ____Assessment
• Evaluate the students' ability to solve absolute value inequalities by grading their solutions. ____Assessment
• Thank you for watching! ----Assessment
• Great job! ----Assessment
• You're very close! ----Assessment
• You still need to work on absolute value inequalities! ----Assessment
• You're doing great! ----Assessment
• You really understand absolute value inequalities! ----Assessment