Download Matt Wolf - CB East Wolf

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: ______