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Mr. Wolf Date Alg2 Topics Grades 10-12 Unit 1: Real Numbers, Equations, & Inequalities Absolute Value Inequalities Materials and Resources: Warm-up (1 per student) Daily Quiz (1 per student) Lesson Topic: Notes Sheet (1 per student) Lesson Topic: Practice Problems (1 per student) Exit Ticket (1 per student) Instructional Objectives: Students will be able to…by doing… Instructional Purpose: This material is important to learn because… Real World Applications: Time 10 min 5 min Activity Warm-up Homework Check min Review Homework 1 min min Agenda Main Lesson 1 min 5 min Agenda Conclusion Homework: Lesson Reflection: Description Pass out the Warm-up and review solutions. Spot-check and instruct students to copy their solution to pg. # onto the back of the Warm-up. Collect and grade. Present the HW solutions and answer any questions. Review the goals for the day. Modeling: Guiding: Independent Practice: Assessment: Modifications: Students with special needs… Advanced students… Revisit goals and identify whether they were met. Pass out the Exit Ticket and collect at the bell. Algebra 2 Topics Name: ____________________________ Date: ____________ Block: ______ Warm-up Inequalities & Absolute Value Directions: Solve the following inequalities. Plot solutions on the provided number line and write the solution in bracket notation. Directions: Solve the following absolute value equations. 3x 2 7 |x–3|=4 | 2x – 8 | = 6 Equation 1: Equation 1: x = ____ x = ____ Equation 2: Equation 2: x = ____ x = ____ 4 2x 10 Bracket Notation: Bracket Notation: Algebra 2 Topics Name: ____________________________ Date: ____________ Block: ______ Warm-up Inequalities & Absolute Value Directions: Solve the following inequalities. Plot solutions on the provided number line and write the solution in bracket notation. Directions: Solve the following absolute value equations. 3x 2 7 |x–3|=4 | 2x – 8 | = 6 Equation 1: Equation 1: x = ____ x = ____ Equation 2: Equation 2: x = ____ x = ____ Bracket Notation: 4 2x 10 Bracket Notation: Algebra 2 Topics Name: ____________________________ Date: ____________ Block: ______ Daily Quiz Inequalities & Absolute Value Directions: Solve the following inequalities. Plot solutions on the provided number line and write the solution in bracket notation. Directions: Solve the following absolute value equations. 2x 8 2 |x+6|=8 | 3x – 9 | = 12 Equation 1: Equation 1: x = ____ x = ____ Equation 2: Equation 2: x = ____ x = ____ 2x 5 9 Bracket Notation: Bracket Notation: Algebra 2 Topics Name: ____________________________ Date: ____________ Block: ______ Daily Quiz Inequalities & Absolute Value Directions: Solve the following inequalities. Plot solutions on the provided number line and write the solution in bracket notation. Directions: Solve the following absolute value equations. 2x 8 2 |x+6|=8 | 3x – 9 | = 12 Equation 1: Equation 1: x = ____ x = ____ Equation 2: Equation 2: x = ____ x = ____ Bracket Notation: 2x 5 9 Bracket Notation: Algebra 2 Topics Name: ____________________________ Date: ____________ Block: ______ Absolute Value Inequalities Notes Sheet At the completion of the lesson, you will be able to… 1) solve absolute value inequalities & write answers in bracket notation & on a number line We are studying this material because it is the combination of the absolute value and inequality equations we have been solving this unit. Goal: Purpose: Directions: Solve the following inequality. Plot solutions on the provided number line and write the solution in bracket notation. Directions: Solve the following absolute value equation. 2x 5 9 Bracket Notation: | -2x + 5 | = 9 Equation 1: Equation 2: x = ____ x = ____ _____ , _____ Number Line Answer Now, we will attempt to solve the one-way absolute value inequality | 2 x 5 | 9 . Step 1: Rewrite the one-way inequality as a two-way inequality. Step 2: Solve the two-way inequality in the usual manner. Step 3: Report answers in “normal form,” bracket notation, and on a number line. Directions: Solve the following inequalities. Plot solutions on the provided number line and write the solution in bracket notation. | 3x | 9 | x 8 | 3 Two-Way Inequality Two-Way Inequality | x 3 | 5 Two-Way Inequality Bracket Notation Answer: Bracket Notation Answer: Bracket Notation Answer: Number Line Answer: Number Line Answer: Number Line Answer: Algebra 2 Topics Name: ____________________________ Date: ____________ Block: ______ Absolute Value Inequalities Practice Problems Directions: Solve the following inequalities. Plot solutions on the provided number line and write the solution in bracket notation. #1 | 2 x | 6 #2 Two-Way Inequality | x 5 | 2 #3 Two-Way Inequality | 2 x 2 | 8 Two-Way Inequality Bracket Notation Answer: Bracket Notation Answer: Bracket Notation Answer: Number Line Answer: Number Line Answer: Number Line Answer: #4 | x 1 | 3 #5 Two-Way Inequality | 4 x | 8 #6 Two-Way Inequality | 5 2 x | 3 Two-Way Inequality Bracket Notation Answer: Bracket Notation Answer: Bracket Notation Answer: Number Line Answer: Number Line Answer: Number Line Answer: #7 | 3 3 x | 6 Two-Way Inequality #8 | x 7 | 2 Two-Way Inequality #9 | x 5 | 2 Two-Way Inequality Bracket Notation Answer: Bracket Notation Answer: Bracket Notation Answer: Number Line Answer: Number Line Answer: Number Line Answer: Algebra 2 Topics Name: ____________________________ Date: ____________ Block: ______ Exit Ticket Absolute Value Inequalities Directions: Algebra 2 Topics Name: ____________________________ Date: ____________ Exit Ticket Absolute Value Inequalities Directions: Block: ______