Celsius

The Celsius scale is a temperature scale used in most of the world. It is based on the properties of water. On the Celsius scale, the freezing and boiling points of water are 0 and 100 degrees respectively. The scale was introduced in the 18th century by the Swedish astronomer Anders Celsius.

Converting Between Celsius and Fahrenheit

To convert a temperature from Celsius to Fahrenheit, you can use the following formula:

Fahrenheit = (Celsius × 9/5) + 32

And to convert from Fahrenheit to Celsius, you can use the following formula:

Celsius = (Fahrenheit - 32) × 5/9

Practice Problems

Convert 25 degrees Celsius to Fahrenheit.

Answer: Fahrenheit = (25 × 9/5) + 32 = 77 degrees

Convert 98.6 degrees Fahrenheit to Celsius.

Answer: Celsius = (98.6 - 32) × 5/9 ≈ 37 degrees

Real-life Applications

The Celsius scale is used in everyday life for measuring the temperature of the weather, cooking, and scientific experiments. Understanding how to convert between Celsius and Fahrenheit is important for international travel, cooking recipes, and many other practical situations.

◂Math Worksheets and Study Guides Sixth Grade. Simple Proportions

The resources above cover the following skills:

Number and Operations (NCTM)

Understand numbers, ways of representing numbers, relationships among numbers, and number systems.

Understand and use ratios and proportions to represent quantitative relationships.

Compute fluently and make reasonable estimates.

Develop, analyze, and explain methods for solving problems involving proportions, such as scaling and finding equivalent ratios.

Grade 6 Curriculum Focal Points (NCTM)

Number and Operations: Connecting ratio and rate to multiplication and division

Students use simple reasoning about multiplication and division to solve ratio and rate problems (e.g., 'If 5 items cost $3.75 and all items are the same price, then I can find the cost of 12 items by first dividing $3.75 by 5 to find out how much one item costs and then multiplying the cost of a single item by 12'). By viewing equivalent ratios and rates as deriving from, and extending, pairs of rows (or columns) in the multiplication table, and by analyzing simple drawings that indicate the relative sizes of quantities, students extend whole number multiplication and division to ratios and rates. Thus, they expand the repertoire of problems that they can solve by using multiplication and division, and they build on their understanding of fractions to understand ratios. Students solve a wide variety of problems involving ratios and rates.