Relay Race Resource
Relay Race Resource
Teacher Facilitation Guide: Absolute Value Inequalities
Duration 45 Min
Lesson Objectives
- Represent solutions on a number line using open and closed circles.
- Translate graphs into formal interval notation using parentheses and brackets.
- Differentiate between "AND" (Less Than) and "OR" (Greater Than) compound inequalities.
- Handle "Trap" questions involving negative numbers and absolute value limits.
Main Activity: Graphing Relay (25 Min)
Setup:
Divide the class into 4-5 teams. Each team needs one whiteboard marker and a section of the board. Only one student from each team can be at the board at a time.
The Flow:
- Teacher projects an inequality (from the Slides).
- Runner 1: Draws the number line and places the key points.
- Runner 2: Adds circles (open/closed) and shades the correct direction.
- Runner 3: Writes the final solution in Interval Notation.
Relay Answer Key
| Round | Problem | Graph Style | Interval Notation |
|---|
| 1 | \( | x | > 4\) |
| 2 | \( | x + 2 | \leq 5\) |
| 3 | \( | 2x - 4 | < 6\) |
| 4 | \( | 3x + 3 | \geq 12\) |
| 5 (Trap) | \( | x + 10 | < -2\) |
Video Discussion (2:36-3:40)
"Why does the narrator use parentheses for infinity even if the circle is closed?"
Key: Infinity is a concept, not a reachable number.
Video Discussion (5:30-6:35)
"What visually changes between an 'AND' problem and an 'OR' problem?"
Key: 'AND' captures values between boundaries; 'OR' pushes away from the center.
Absolute Action Slides
Absolute
Action
Mastering Inequalities, Number Lines, and Interval Notation
Algebra I/II
The Notation Station
01
Warm Up: Basic Circles
Task
Graph the following on your number line:
x > 3
x ≤ -2
Quick Reminder:
- Open Circle: Not included ( > or < )
- Closed Circle: Included ( ≥ or ≤ )
The Golden Rule
"Great-OR"
>
OR
"Less Th-AND"
<
AND
Video Analysis: Graphing Focus
Embedded media
Teacher: Pause Here
- 2:36 - 3:40 Watch the "OR" shading and union symbol.
- 5:30 - 6:35 Watch the "AND" shading and compound format.
Check for Understanding:
"How does the narrator know to use a bracket vs. a parenthesis?"
Graphing Relay
Runner 1
Draw the Number Line and Critical Points
Runner 2
Add Circles and Shading Direction
Runner 3
Write the Final Interval Notation
Speed + Accuracy = Points
Round 1
|x| > 4
Round 2
|x + 2| ≤ 5
Round 3
|2x - 4| < 6
Round 4
|3x + 3| ≥ 12
Trap
Final Round
|x + 10| < -2
Warning: Think Before You Graph!
The Reflection
"Explain the logic: Why do we use a bracket for one side of an interval (like 5) but always use a parenthesis for infinity?"
Please complete your response in your Journal.
Interval Insights Journal
Interval Insights Journal
Absolute Value Inequalities & Notation
NAME:
DATE:
1
Initial Graphing
x > 3
| | | | |
x ≤ -2
| | | | |
2
Video Discovery
"Great-OR"
|x| > a
Compound Statement: OR
"Less Th-AND"
|x| < a
Compound Statement: AND
Key Note: The "Golden Rule" for when to split the absolute value...
3
Relay Scratch Pad
ROUND 01
Scratch Area Below
Graph/Work
Final Notation
ROUND 02
ROUND 03
4
Final Reflection
Prompt: Why do we use a bracket for one side of an interval and a parenthesis for infinity?
