Scale Shifter Worksheet Scale Shifter Worksheet
Temperature Conversions & Algebraic Steps
Name:
Date:
Formula Bank
Celsius to Kelvin
\(T_k = T_c + 273.15\)
Celsius to Fahrenheit
\(T_f = 1.8T_c + 32\)
Fahrenheit to Celsius
\(T_c = \frac{T_f - 32}{1.8}\)
Instructions: For each problem, show your full algebraic setup, including subtraction and division steps. Round your final answer to the correct number of significant figures based on the input.
1. Liquid Nitrogen: 77.0 K Convert to Celsius
Show Algebraic Steps
Final Answer:
°C
2. Average Oven Temperature: 350.0 °F Convert to Celsius
Show Algebraic Steps
Final Answer:
°C
3. Human Body Temp (Fever): 39.5 °C Convert to Fahrenheit
Show Algebraic Steps
Final Answer:
°F
Extension: The Great Scale Divide
Research and respond: Why does the United States continue to use Fahrenheit while most of the scientific world and other countries use Celsius? List one historical reason and one practical reason mentioned in your research.
Scale Master Anchor Chart Thermal Scale Master
A Guide to Temperature Conversions
Boiling Water
Freezing Water
Absolute Zero
Fahrenheit
212°
32°
-459°
Common in USA
Celsius
100°
0°
-273°
Scientific Standard
Kelvin
373 K
273 K
0 K
Absolute Energy
Mathematical Conversion Paths
C
K
\(+ 273.15\)
K
C
\(- 273.15\)
C
F
\((\times 1.8) + 32\)
F
C
\((- 32) \div 1.8\)
PRO TIP: Watch your Significant Figures!
Scale Shifter Slides Scale Shifter
Mastering Temperature Conversions
Fahrenheit
Celsius
Kelvin
Warm Up Poll
1. At what temperature does water boil? 💧
A) 100°
B) 212°
C) 373
D) All of the above!
Big Question:
"If water boils at the same 'hotness' everywhere, why do we have three different numbers to describe it?"
What is Thermal Energy?
It is a form of Kinetic Energy.
Temperature is a reflection of how fast the molecules in an object are moving.
Fast Particles = High Temp
Slow Particles = Low Temp
Molecular Motion
Absolute Zero
The Coldest Possible Temperature
"Absolute zero is where all motion stops. You cannot get any lower energy than all the motion of our atoms stopping."
0 K
-273°C
-459°F
Math Lab
Watch & Record Formulas
4:58 — End
Watch For:
Write down the two main equations displayed at 4:58.
Watch the algebraic isolation steps (subtracting/dividing).
Note how the narrator rounds for Significant Figures .
Video Lesson: Measuring & Converting
Embedded media
Equation Checkpoint
Kelvin / Celsius
\(T_k = T_c + 273.15\)
Just add 273.15!
Fahrenheit / Celsius
\(T_f = 1.8T_c + 32\)
Multiply by 1.8, then add 32.
Student Try-It
Convert 22.0°C to Fahrenheit
Step 1
Write Formula
Step 2
Plug in 22.0
Step 3
Check Sig Figs
Reveal Answer: 71.6°F
Workshop Time
Your Mission:
Complete the Scale Shifter Worksheet using the equations we just practiced.
Show EVERY algebraic step!
Significant Figures:
Match the precision of the input number. If it has 3 sig figs, your answer should have 3 sig figs!
20:00
Workshop Pacing
The Extension
Why is the US "stuck" on Fahrenheit while the rest of the world (and science) uses Celsius?
Research Goal:
Find one historical reason and one practical reason for the divide.
Fun Fact:
Daniel Fahrenheit was the first to make a mercury thermometer reliable!
Scale Shifter Answer Key Answer Key: Scale Shifter
Teacher Facilitation Guide
Physics / Physical Science
Scoring Criteria (Per Problem)
Algebraic Setup
+1 Point: Correct formula chosen and variables substituted.
Isolation Steps
+1 Point: Showing inverse operations (e.g., subtracting 32).
Precision & Units
+1 Point: Correct significant figures and unit label (°C, °F, K).
K → C
1. Liquid Nitrogen (77.0 K to Celsius)
Step 1: \(T_k = T_c + 273.15\)
Step 2: \(77.0 = T_c + 273.15\)
Step 3: \(77.0 - 273.15 = T_c\)
Step 4: \(T_c = -196.15\)
Final Rounded Answer:
-196.2 °C
Note: Input has 1 decimal place; answer rounded to tenths.
F → C
2. Oven Temp (350.0 °F to Celsius)
Step 1: \(T_f = 1.8T_c + 32\)
Step 2: \(350.0 = 1.8T_c + 32\)
Step 3: \(318.0 = 1.8T_c\)
Step 4: \(T_c = 176.666...\)
Final Rounded Answer:
176.7 °C
Note: Input has 4 sig figs; result rounded to 4 sig figs.
C → F
3. Human Body Temp (39.5 °C to Fahrenheit)
Step 1: \(T_f = 1.8T_c + 32\)
Step 2: \(T_f = 1.8(39.5) + 32\)
Step 3: \(T_f = 71.1 + 32\)
Step 4: \(T_f = 103.1\)
Final Rounded Answer:
103.1 °F
Note: 71.1 (from mult) has 1 decimal; adding 32 (exact) maintains tenths.
Extension Key: The Divide
Historical Reason: The British Empire spread Fahrenheit globally in the 18th/19th centuries. While Britain switched to Celsius in the 1960s, the US never fully implemented the Metric Conversion Act of 1975.
Practical Reason: Fahrenheit offers higher precision for human weather (0-100 scale covers most habitable temps) without needing decimals, whereas Celsius's 0-100 range covers freezing to boiling water, which is less relatable to daily air temperature.
Scale Master Reference Card Scale Master Reference
Student Desk Tool
Kelvin ↔ Celsius OFFSET: 273.15
To get K:
\(T_c + 273.15\)
To get C:
\(T_k - 273.15\)
Fahrenheit ↔ Celsius RATIO: 1.8
To get F:
\((1.8 \times T_c) + 32\)
To get C:
\((T_f - 32) \div 1.8\)
Order of Operations Warning
Going to C from F:
Hit ENTER after subtracting 32 before you divide by 1.8!
Going to F from C:
Multiply by 1.8 FIRST, then add the 32 at the end.
Sig Figs!
Match the precision of your starting measurement. Use standard rounding rules (5 or higher rounds up).
— Cut along the thick black border for your desk reference —
