Integer Navigator Worksheet
Integer Navigation
Student Mission Log
Explorer:
Date:
Mission Warm-Up
Locate and mark the following points on the number line below: 4, -7, -2, 9, 0
-10
-9
-8
-7
-6
-5
-4
-3
-2
-1
0
1
2
3
4
5
6
7
8
9
10
Video Briefing
Reflect & Respond:
According to the video, why do we move left or right on the number line? What determines the direction?
Human Number Line Log
Record the equations your team "walked" on the floor line and the final result.
| Starting Position | Equation/Steps | Final Destination |
|---|
| | |
| | |
| | |
| | |
The Navigator's Rule
In your own words, write a rule for what happens when you subtract a negative number (e.g., \(6 - (-3)\)):
"When I subtract a negative number, I should..."
Advanced Scouting
Create your own integer word problem involving elevation, temperature, or money. Then, solve it!
Scenario/Word Problem:
Equation:
Solution:
Integer Navigator Teacher Guide
Facilitator's Brief
Mission: Integer Navigation
Lesson Duration
50 Minutes
Mission Objective
Students will be able to add and subtract integers using a visual number line as a navigational tool, demonstrating procedural fluency and conceptual understanding of movement across zero.
Gear Needed
- • Navigator Worksheets
- • Activity Kit (Cards/Floor)
- • Blue Painter's Tape
- • Integer Navigator Slides
Mission Phases
0-5 min
Calibration (Warm-Up)
Students mark points on their individual number lines. Draw a large version on the board and call students up to verify locations.
"If we are at zero, which direction is -5? How far away is it compared to positive 5?"
5-15 min
Mission Briefing (Video)
Watch the "Basic Math Review" video (0:00 - 5:36). Pause after the -9 + 4 example.
Discussion Prompt:
"Why do we move left or right? Does it depend on the sign of the starting number, or the operation being performed?"
15-35 min
Field Ops (Human Number Line)
Clear a path and tape a number line on the floor (-10 to 10). Distribute cards from the Activity Kit.
- Student 1 stands on the starting number.
- Student 2 reads the operation (+ move right, - move left).
- Student 1 "walks" the steps while the class tracks on their worksheets.
35-45 min
Debrief (The Golden Rule)
Students articulate the "subtracting a negative" rule. This is often the hardest conceptual leap.
Key Insight: Subtracting a negative is like "taking away a debt"—it actually makes your value go up!
45-50 min
Scouting (Extension)
Fast finishers create their own word problems. Encourage scenarios like elevators or bank accounts.
Intelligence Report (Answer Key)
Warm-Up Positions
Marks should be clearly on the specific ticks for 4, -7, -2, 9, and 0.
Video Reflection
Correct logic: Addition = Right; Subtraction = Left. The sign of the number indicates the starting position or the direction of the "jump".
The Golden Rule
Sample: "Subtracting a negative number is the same as adding a positive number. You move to the right."
Activity Card Solutions
<table class="w-full text-xs"><tbody><tr class="border-b border-slate-200"><td class="py-1 font-mono">-3 + 5</td><td class="text-right font-bold text-slate-900">2</td></tr><tr class="border-b border-slate-200"><td class="py-1 font-mono">4 - 7</td><td class="text-right font-bold text-slate-900">-3</td></tr><tr class="border-b border-slate-200"><td class="py-1 font-mono">-2 - 6</td><td class="text-right font-bold text-slate-900">-8</td></tr><tr class="border-b border-slate-200"><td class="py-1 font-mono">6 - (-3)</td><td class="text-right font-bold text-slate-900">9</td></tr><tr class="border-b border-slate-200"><td class="py-1 font-mono">-5 + 8</td><td class="text-right font-bold text-slate-900">3</td></tr><tr class="border-b border-slate-200"><td class="py-1 font-mono">-1 - (-4)</td><td class="text-right font-bold text-slate-900">3</td></tr><tr class="border-b border-slate-200"><td class="py-1 font-mono">0 - 5</td><td class="text-right font-bold text-slate-900">-5</td></tr><tr class="border-b border-slate-200"><td class="py-1 font-mono">3 + (-5)</td><td class="text-right font-bold text-slate-900">-2</td></tr></tbody></table>Integer Navigator Slides
Integer Navigation
Mastering the Number Line
5th Grade Mathematics
Mission Warm-Up
Look at your worksheet. Can you locate and mark these coordinates on your number line?
4
-7
-2
9
0
Mission Briefing
Embedded media
Viewing: 0:00 - 5:36
Think & Discuss
"Why do we move left or right?"
Record your answer in the "Video Briefing" section of your Mission Log.
Field Ops: Human Number Line
1
Navigator: Draw a card and read the start number.
2
Pacer: Stand on the starting label.
3
Action: The Pacer "walks" the steps. Everyone records the result.
Teamwork Required
The Golden Rule
"What happens when you subtract a negative number?"
Write your rule on your Mission Log. Be prepared to share with the class!
Advanced Scouting
Finish early? Put your navigation skills to the test. Create a real-world word problem using:
Temperature
Elevation
Money
