A targeted 20-minute intervention lesson targeting NC.6.NS.5, focusing on integer representations in real-world contexts, zero as a reference point, and comparing and ordering rational integers.
1. Order temperatures from COLDEST (least) to WARMEST (greatest) using < symbols:
2. Which drone recorded a temperature closest to the baseline (0°F)? Explain:
Expedition B: NC Mountain & Gorge Checkpoints Deepest to Highest
Basecamp: 0 ft
Cave Shelter: -45 ft
Lookout Ridge: +120 ft
River Gorge: -85 ft
3. Order checkpoints from LOWEST ELEVATION (least) to HIGHEST ELEVATION (greatest):
4 Exit Ticket: Mastery Check (NC.6.NS.5)
5 Points Total
1. Maya's bank account shows a balance of -$25.
a) Integer representing Maya's balance:
b) In this context, what does $0 mean?
2. Complete each statement with >, <, or = :
-15
-8
-6
0
-3
-3
3. Two submarines: Submarine X is at -120 feet, Submarine Y is at -95 feet.
Which submarine is deeper? Write an inequality comparing them and justify using sea level.
4. Order the five integers from least to greatest: -16, 8, -2, 0, -20
Self-Reflection: Got It! Getting There Need Help
NC Standard: NC.6.NS.5 • Formative Assessment
Score 0–3 (Tier 3 Intervention): Practice with vertical temperature strips; drill "greater magnitude negative = smaller actual value."
Misconception 1: Magnitude Bias ("Larger Digit = Greater Value") Most Common
What you hear: "Negative 15 is greater than negative 5 because 15 is bigger than 5."
Instant Correction: Pull out the vertical number line. Point to 0. Say: "In the negative territory, bigger digits mean you have fallen FURTHER below zero. You are lower down. Lower is always less."
Misconception 2: Defining Zero as "Nothing" Context Error
What you hear: "Zero just means there is nothing there or no numbers."
Instant Correction:"If it is 0° outside, is there no temperature? No, it's very cold! Zero is our baseline benchmark where things change from positive to negative."
Misconception 3: Confusing "Deepest" with "Highest Value" Vocabulary Trap
What you hear: "Submarine at -120 ft has a higher elevation because 120 is deep."
Instant Correction: Connect deepest to furthest down. Remind students that depth is distance down, but elevation is mathematical position. Greater depth = lower elevation = smaller number.
Targeted Differentiation Supports
Tier 3 / Heavy Scaffolding
Provide a physical vertical thermometer or elevation ruler they can touch.
Color-code: Blue marker for numbers below zero, Green marker for numbers above zero.
Use two-color counters or debt chips before writing symbols.
Extension / Early Mastery
Challenge students to calculate the difference between elevations (e.g. from -34 ft to +42 ft).
Introduce absolute value notation \(|-34|\) as distance from sea level.
Have students write their own real-world scenario where 0 is non-trivial.
