Integer Horizon Slides Grade 7 Math • Number Systems
Integer Horizon
Exploring positive and negative numbers through real-world elevations, temperature shifts, and financial ledgers.
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Slide 1 of 6
The Altitude Concept
Real-World Scale
Above Sea Level
Altitudes higher than the ocean's surface are represented by positive integers (+).
+8,848m (Mt. Everest)
Sea Level
The baseline baseline scale.
0 Equilibrium Point
Below Sea Level
Depths beneath the ocean surface are represented by negative integers (-).
-10,994m (Mariana Trench)
How would you describe your current height relative to the sea? Slide 2 of 6
Video Expedition
Visual Demonstration
Active Watching
As we play the video, identify three distinct moments where you notice opposite relationships:
Moving UP vs. Moving DOWN
Earning Money vs. Spending Money
Freezing Cold vs. Blistering Heat
Add Your Real-World Video
Paste your custom YouTube URL here! Share the link, and I will instantly embed the video tutorial right into this slide.
Provide a YouTube link to complete this embed!
We will pause the video to discuss each transition point! Slide 3 of 6
Thermal Extremes
Scale of Temperature
Below Freezing
Temperatures colder than the freezing point of water (\(0^\circ\text{C}\)) are marked as negative values .
Antarctica Average -57°C
Above Freezing
Temperatures warmer than freezing are written as positive values (usually without a sign).
Sahara Desert Record +58°C
Does a larger negative temperature mean it is warmer or colder? Slide 4 of 6
Money & Ledgers
Credits and Debits
Credits (+)
Depositing money, gaining interest, or getting paid adds to your balance. These are positive integers .
+ $45.00 (Deposit)
Debits (-)
Purchasing items, making withdrawals, or overdrawing your account reduces your balance. These are negative integers .
- $12.50 (Purchase)
If your account has a negative balance, what does that mean? Slide 5 of 6
Real-World Showdown
Interactive Quiz
Which integer represents each situation?
Situation A
A scuba diver dives 45 meters below sea level.
-45
Situation B
You climb up 3 flights of stairs in a building.
+3
Situation C
A bank customer overdraws their card by $20.
-20
Situation D
A chemical reaction rises 15 degrees Celsius.
+15
Great job! Let's get ready for the Deep Dive Worksheet. Slide 6 of 6
Deep Dive Worksheet Grade 7 Mathematics
Deep Dive Worksheet
Integer Horizon
Name:
Date:
Class:
1 Understanding the Horizon Line
An integer is a whole number that can be positive, negative, or zero. In the real world, we use zero as our benchmark (or horizon) point. Think of elevation relative to sea level.
BELOW SEA LEVEL (-) SEA LEVEL (0) ABOVE SEA LEVEL (+)
-10m
-5m
0m
+5m
+10m
2 Altitude & Depth Exploration
Write the positive or negative integer represented by each real-world statement below.
A submarine is cruising 120 meters deep in the ocean.
Benchmark: Sea level (0 meters)
A meteorological drone climbs to an altitude of 340 meters.
Benchmark: Sea level (0 meters)
3 The Banking Balance Ledger
Analyze the banking transactions below. Fill in the empty table column with the matching integer.
Transaction Detail Benchmark (0 Point) Representing Integer Deposit $45.00 Initial balance of $0 Buy a ticket for $15.00 Initial balance of $0 Accidentally overdraw card by $12.00 Initial balance of $0
Integer Horizon Curriculum Support Page 1 of 2
Grade 7 Mathematics • Integer Horizon Name: ______________________
4 Thermal Extremes & Benchmarks
Temperature scales use the freezing point of fresh water as \(0^\circ\text{C}\). Let's explore temperatures relative to this horizon point.
Dry Ice Storage
Dry ice freezes at 78 degrees Celsius below the water freezing mark.
Hot Spring Thermal
A volcanic hot spring is heated to 82 degrees Celsius above freezing.
5 Scenario Design Lab
Now it is your turn to design real-world situations! For each given integer below, describe a plausible real-world story or event that represents it. Ensure you clearly state the zero point benchmark.
Design for Integer: -15 Scenario Draft A
Design for Integer: +42 Scenario Draft B
6 Deep Horizon Thought
Can a value have an absolute opposite? If you are standing at +12 meters, what does it mean to move to its exact opposite? Explain below:
Integer Horizon Curriculum Support Page 2 of 2
Integer Horizon Teacher Guide Instructor Reference Guide
Integer Horizon Facilitation
Teacher Resource
Core Learning Objectives
Concept Mastery
Students will identify, represent, and order positive and negative numbers using structured real-world scales like altitude, ledger credits/debits, and temperature values.
Horizon Baseline
Students will identify the benchmark "zero point" (equilibrium point) in various contexts (e.g., freezing point, sea level, zero balance).
Video Integration Guide
The Integer Horizon Slides (Slide 3) contains an active-watching player frame. To finalize your setup, copy and paste a link of your choice. Recommended styles and searchable topics include:
1. Deep Sea Dives vs. Mountain Climbers
Search YouTube for: "Mariana Trench vs Mt Everest scale simulation" . This visually illustrates the magnitude of integers relative to sea level.
2. Thermal Extremes & Chemical States
Search YouTube for: "Dry Ice vs Boiling water experiment" . Shows how temperature benchmarks affect materials below and above \(0^\circ\text{C}\).
Common Student Misconceptions
Misconception: Bigger absolute digit = Greater overall value. Facilitation Fix: Ask students: "Would you rather have a debt of \(\$20\) or \(\$5\)? Which scenario represents having more money?" Use debt to emphasize that larger negative numbers represent lesser values.
Misconception: Zero is always 'nothing'. Facilitation Fix: Point out that \(0^\circ\text{C}\) does not mean "no temperature"—it is a very specific physical point where water transitions to ice.
Recommended Pacing
10 Mins Slides 1 & 2 Setup
15 Mins Video Watch & Poll
20 Mins Worksheet Exploration
15 Mins Review & Reflection
Integer Horizon Curriculum Guide • Grade 7 Support Page 1 of 1
