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Direct Instruction Model Teacher: Theresa Cojohn Lesson:1-4 Solving Absolute Value Equations Subject: Algebra Students will engage in: II independent activities cooperative learning visuals Date: peer tutoring simulations pairing 9/17/2007 hands-on whole group instruction centers Block: A & B a project technology integration lecture other: Standards/Objectives Met: Each student will learn how to evaluate expressions involving absolute values. Each student will be able to solve absolute value equations. Time Procedure Followed Materials/Text References 10 Class Starter: Solve the following equations for x. minutes 1. 4r=3tx 2. 2x-9h=A 11 3. 7t 3x 5 minutes 15 mintues 10 minutes 30 minutes 10 mintues Review of Previously Learned Material/Homework: In lesson 1-3 student wrote expression and solved equations. In this lesson, they apply those skills to equations involving absolute value. Begin the lesson by reviewing what absolute value is and then move to combining this knowledge with that of solving equations. Statement of Objectives: Each student will learn how to evaluate expressions involving absolute values. Each student will be able to solve absolute value equations. Presentation of New Material: Begin with the idea of absolute value. This is the distance a number is away from zero. So, x a Overhead notes positive number, then x can be +/- the number. Then to solve an equation using absolute value, you must solve twice. In Case 1, set eh equation equal like normal. In case two set the equation equal to the negative. Remember – you must check you work! If the solution does not work then we use the empty set or {} or 0. Show student that you must distribute the negative over the whole equation. Also if there is a number in front of the bracket, distribute. Guided Practice: pg 30 #5-12 Check your work! Glenco Independent Practice: pg 30-31 #17-43 odd Wrap Up/Lesson Review: Put the work on the board and remind students of the two situations that need to be solved when you see an absolute value. Present Closure Homework Given:1-4 Skills Practice odds Test/Quiz Date: Friday 9/21/2007 Teacher Notes: Glenco Objective: Students will be able to solve equations involving absolute value and inequalities involving absolute value. The absolute value x of a number is its distance away from zero. This means that the absolute value of any number is always _________________. When solving absolute value equations, you must solve for both a b and a b . You must always isolate the absolute value before solving! Example: Solve for all value of x. Express your answer using set notation. 1. x 18 5 4. x 6 3x 2 2. -32x - 5 = -45 5. 4 3x - 5 +12 = 8 3. 6x 7 10 39 How do we solve an absolute value inequality? Write the problem without the absolute value sign, and solve the inequality. Write the problem without the absolute value sign, reverse the inequality, negate the value NOT under the absolute value, and solve the inequality. x <a x<a x > -a If the symbol is < (or <) : (and) Also written: - a < x < a. x>a x> a If the symbol is >(or ≥) : (or) Also written: x <- a or x>a. 6. x 5 7. 9. 2x 4 10. 8. 2x 3 6 x < -a 2x 5 5 3 x 1 9