Algebra 2 1-6 Complete Lesson: Absolute Value Equations and Inequalities
star
star
star
star
star
Last updated almost 4 years ago
25 questions
Note from the author:
A complete formative lesson with embedded slideshow, mini lecture screencasts, checks for understanding, practice items, mixed review, and reflection. I create these assignments to supplement each lesson of Pearson's Common Core Edition Algebra 1, Algebra 2, and Geometry courses. See also mathquest.net and twitter.com/mathquestEDU.
10
Solve It! You are riding in an elevator and decide to find out how far it travels in 10 minutes. You start on the third floor and record each trip in the table. Each floor is 12 ft high. How far did the elevator travel in all?
Solve It! You are riding in an elevator and decide to find out how far it travels in 10 minutes. You start on the third floor and record each trip in the table. Each floor is 12 ft high. How far did the elevator travel in all?
10
Problem 1 Got It? What is the solution of the equation? Graph the solution on the canvas.
|3x + 2| = 4
Include relevant graph detail.
Problem 1 Got It? What is the solution of the equation? Graph the solution on the canvas.
|3x + 2| = 4
Include relevant graph detail.
10
Problem 2 Got It? What is the solution of the equation? Graph the solution on the canvas.
2|x + 9| + 3 = 7
Include relevant graph detail.
Problem 2 Got It? What is the solution of the equation? Graph the solution on the canvas.
2|x + 9| + 3 = 7
Include relevant graph detail.
10
Problem 3 Got It?
Problem 3 Got It?
10
Problem 4 Got It? What is the solution of the inequality? Graph the solution on the canvas.
|3x - 4| < 8
Include relevant graph detail.
Problem 4 Got It? What is the solution of the inequality? Graph the solution on the canvas.
|3x - 4| < 8
Include relevant graph detail.
10
Problem 5 Got It? What is the solution of the inequality? Graph the solution on the canvas.
|5x + 10| > 15
Include relevant graph detail.
Problem 5 Got It? What is the solution of the inequality? Graph the solution on the canvas.
|5x + 10| > 15
Include relevant graph detail.
10
Problem 5 Got It? Without solving the inequality below, describe the graph of its solution by dragging the accurate statements from the left column.
|x - 3| > 2
Problem 5 Got It? Without solving the inequality below, describe the graph of its solution by dragging the accurate statements from the left column.
|x - 3| > 2
- The graph has a gap in the middle.
- The graph has no gap in the middle.
- The graph has arrows pointing in opposite directions.
- The graph has no arrows.
- Accurate statements
10
Problem 6 Got It?
Problem 6 Got It?
10
Solve the equation. Check your answers.|-6x| = 24
Solve the equation. Check your answers.|-6x| = 24
10
Solve the equation. Check your answers.|2x + 8| - 4 = 12
Solve the equation. Check your answers.|2x + 8| - 4 = 12
10
Solve the equation. Check your answers.|x - 2| = 4x + 8
Solve the equation. Check your answers.|x - 2| = 4x + 8
10
Solve the inequality. Graph the solution. |2x + 2| - 5 < 15Include relevant graph detail.
Solve the inequality. Graph the solution. |2x + 2| - 5 < 15
Include relevant graph detail.
10
Solve the inequality. Graph the solution. |4x - 6| > 10Include relevant graph detail.
Solve the inequality. Graph the solution. |4x - 6| > 10
Include relevant graph detail.
10
10
Reasoning: When is the absolute value of a number equal to the number itself?
Reasoning: When is the absolute value of a number equal to the number itself?
10
Provide an Example: Give an example of a compound inequality that has no solution.
Provide an Example: Give an example of a compound inequality that has no solution.
10
Compare and Contrast: Describe how absolute value equations and inequalities are similar to linear equations and inequalities and how they are different.
Compare and Contrast: Describe how absolute value equations and inequalities are similar to linear equations and inequalities and how they are different.
15
Review Lesson 1-5: Solve the inequalities on the canvas and graph their solutions.
5y - 10 < 20
15(4s + 1) < 23
4a + 6 > 2a + 14
Review Lesson 1-5: Solve the inequalities on the canvas and graph their solutions.
5y - 10 < 20
15(4s + 1) < 23
4a + 6 > 2a + 14
10
Review Lesson 1-1: Describe the pattern using words.
Review Lesson 1-1: Describe the pattern using words.
10
Review Lesson 1-1: Draw the next figure in the pattern on the canvas.
Review Lesson 1-1: Draw the next figure in the pattern on the canvas.
10
Review Graphing Points: Graph each ordered pair on the coordinate plane. Include graph detail: label axes and establish scale.
(-4, -8)(3, 6)(0, 0)(-1, 3)
Review Graphing Points: Graph each ordered pair on the coordinate plane. Include graph detail: label axes and establish scale.
(-4, -8)
(3, 6)
(0, 0)
(-1, 3)
10
Vocabulary Review: Identify the solution of the equation.
3x + 8 = -4
Vocabulary Review: Identify the solution of the equation.
3x + 8 = -4
- x = -9
- x = -4
- x = 4
- x = 4/3
- Solution of the equation
20
Use Your Vocabulary: Graph the points and solutions on the canvas.
Use Your Vocabulary: Graph the points and solutions on the canvas.
100
Notes: Take a clear picture or screenshot of your Cornell notes for this lesson. Upload it to the canvas. Zoom and pan as needed.
For a refresher on the Cornell note-taking system, click here.
Notes: Take a clear picture or screenshot of your Cornell notes for this lesson. Upload it to the canvas. Zoom and pan as needed.
For a refresher on the Cornell note-taking system, click here.
10
Reflection: Math Success
Reflection: Math Success