Mathematics
Grade 6
15 min
Convert between Celsius and Fahrenheit
Convert between Celsius and Fahrenheit
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1
Introduction & Learning Objectives
Learning Objectives
Identify Celsius (°C) and Fahrenheit (°F) as standard units for measuring temperature.
Explain the common uses and contexts for both Celsius and Fahrenheit scales.
Apply the formula to convert a temperature from Celsius to Fahrenheit.
Apply the formula to convert a temperature from Fahrenheit to Celsius.
Solve real-world problems involving temperature conversions, including those with negative integers.
Recognize the freezing and boiling points of water on both Celsius and Fahrenheit scales.
Ever wondered why the weather app shows different temperatures when you travel to another country? 🌍 Let's discover how to understand temperatures no matter where you are!
In this lesson, you'll learn about two main ways to measure temperature: Celsius and...
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Key Concepts & Vocabulary
TermDefinitionExample
TemperatureA measure of how hot or cold something is.The temperature outside tells us if we need a coat or shorts.
Celsius (°C)A temperature scale where water freezes at 0°C and boils at 100°C. It is used in most countries around the world.A comfortable room temperature is often around 20°C.
Fahrenheit (°F)A temperature scale where water freezes at 32°F and boils at 212°F. It is primarily used in the United States.A hot summer day might be 90°F.
Freezing PointThe temperature at which a liquid turns into a solid. For water, this is 0°C or 32°F.When the temperature drops to 0°C (32°F), puddles can turn into ice.
Boiling PointThe temperature at which a liquid turns into a gas. For water, this is 100°C or 212°F.Water boils at 100°C (212°F) when you're making pasta....
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Core Formulas
Celsius to Fahrenheit Conversion
$F = C \times \frac{9}{5} + 32$ or $F = C \times 1.8 + 32$
Use this formula when you have a temperature in Celsius (°C) and you want to find its equivalent in Fahrenheit (°F). First, multiply the Celsius temperature by $\frac{9}{5}$ (or 1.8), then add 32 to the result.
Fahrenheit to Celsius Conversion
$C = (F - 32) \times \frac{5}{9}$ or $C = (F - 32) \div 1.8$
Use this formula when you have a temperature in Fahrenheit (°F) and you want to find its equivalent in Celsius (°C). First, subtract 32 from the Fahrenheit temperature, then multiply the result by $\frac{5}{9}$ (or divide by 1.8).
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Challenging
A temperature change of 18 degrees on the Fahrenheit scale is equal to a change of how many degrees on the Celsius scale?
A.32.4°C
B.10°C
C.18°C
D.-7.8°C
Challenging
The formula to convert from Celsius to Fahrenheit is F = 1.8C + 32. If you correctly rearrange this formula to solve for C, which formula do you get?
A.= F/1.8 - 32
B.= F - 32 / 1.8
C.= (F - 32) / 1.8
D.= 1.8(F - 32)
Challenging
A student converts -20°C to Fahrenheit and correctly gets -4°F. A friend tries the same problem but gets an answer of 21.6°F. What was the friend's most likely error?
A.They added 32 to -20 before multiplying by 1.8.
B.They subtracted 32 instead of adding.
C.They used 5/9 instead of 1.8.
D.They forgot the negative sign on -20.
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