Temperature Conversions

Team Members:
Jack Chilcote, HVAC Instructor, Greater Altoona Career and Technology Center
Chris Claar, Mathematics Instructor , Greater Altoona Career and Technology Center

Title of the Lesson:
Temperature Conversions: Fahrenheit to Celsius and Celsius to Fahrenheit

PA Math Standard(s) Addressed by the Lesson :

2.1.8.A Re presents and use numbers and equivalent forms (e.g. decimals, fractions,
and powers
2.1.8.B Simplify numerical expressions involving exp onents , scientific notation, and
using order of operations .
2.1.11.A A use of operations (e.g. raising to a power)
2.2.8.A Complete calculations by applying the order of operations.
2.2.8.F Identify the difference between exact value and approximation and determine
which is appropriate for a given situation.
2.2.11.A Develop and use computation concepts, ope rations and procedures with real
numbers in problem-solving situations.

Assessment Anchor Codes:

M11.A.1 Demonstrate an understanding of numbers, ways of representing numbers,
relationships amount numbers and number systems
M11.A.3 Compute accurately and fluently and make reasonable estimates
M11.B.2 Apply appropriate techniques, tools and formulas to determine
measurements.
M8.A.3 Compute accurately and fluently and make reasonable estimates

1. Objective of the lesson.

Students will demonstrate a working knowledge of solving formulas, using
correct order of operation procedures , develop and use computation concepts,
operations and procedures with real numbers in problem-solving situations and its
application in the HVAC field, while recognizing it in other contexts.

2. Identify the math, math terms and vocabulary and write out the description or
definitions.

C-Celsius (temperature scale)
F-Fahrenheit (temperature scale)
Refrigeration Cycle (compressor, condenser, vaporater, metering device)
Temperature difference (difference in two temperatures )
Thermal overload (electrical safety device)

3. Note the steps, rules, underlying principles of the concept or theory and
summarize .

A. Work through the steps for converting Celsius to Fahrenheit

Let

(order of operations)
(simplify inside parenthesis)
( multiplying fractions )

B. Work though the steps for converting Fahrenheit to Celsius

Let

(order of operations)
(multiplying fractions )

4. Develop 8-10 sample problems, moving from very specific automotive technology
examples to more generic problems.

A. If the supply air temperature measures at the kitchen grill is 72 degrees Fahrenheit
what is the temperature in Celsius? Answer 22C

B. The thermal overload on a ½ horsepower compressor is rated to open at 90
degrees Celsius what is the temperature in Fahrenheit? Answer 194F

C. When Jim measured the suction line temperature on the dairy case it was -10
degrees Fahrenheit what does that convert to in Celsius? Answer -23.3C

D. On a cold day, the temperature difference between the inside and the outside of a
house is 25 degrees Celsius. Express the value on the Fahrenheit scale. Answer77F

E. During the refrigeration cycle, R-134A is compressed. Its temperature will reach
170 degrees Fahrenheit. What is the Celsius equivalent to this temperature?
Answer77C

F. The outdoor air temperature at the Blair County Airport is 0 degrees Fahrenheit
covert that temperature to Fahrenheit. Answer-17.7

G. Express the Fahrenheit scale temperature be low as a Celsius temperature.
1) 32 degrees Fahrenheit Answer 0 C
2) 100 degrees Fahrenheit Answer 38C
3) 451 degrees Fahrenheit Answer 233

H. Express the Celsius scale temperature below as a Fahrenheit temperature.
1) 0 degrees Celsius Answer 32F
2) 100 degrees Celsius Answer 212F
3) 28 degrees Celsius Answer 82F

I. Solve the following formulas:

where x=4

  where a=12

J. If the area(A) of a rectangle is 63 square feet and the length(l) is 7. Find the width.

A=l*w
Answer W=9

K. PSSA problem: If a persons body temperature is normally 98.7 degrees
Fahrenheit use the formula provided below ,convert their temperature to Celsius.

a. 36.4
b. 39.3
c. 209.7
d. 37.1

Answer d. 37.1