Rates

A rate is a comparison of two quantities with different units. It is a special type of ratio that compares two different kinds of quantities. Rates are commonly used in everyday life, such as miles per hour, cost per item, or words per minute.

To calculate a rate, you divide one quantity by the other. For example, if you travel 200 miles in 4 hours, the rate of your travel is 200 miles / 4 hours = 50 miles per hour.

Rates are often expressed using the "per" symbol, which is represented by the forward slash (/) or the word "per." For example, miles per hour can be written as "miles/hour" or "miles per hour."

When working with rates, it's important to pay attention to the units of measurement and ensure that they are consistent throughout the calculation. If the units are not consistent, conversion may be necessary to make the comparison meaningful.

Understanding rates is important in many real-world applications, such as shopping (price per pound), sports (points per game), and science (speed of a reaction). It allows us to compare different quantities and make informed decisions based on those comparisons.

Overall, rates provide a way to quantify and compare different quantities with different units, helping us make sense of the world around us.

◂Math Worksheets and Study Guides Third Grade. Measurement

Measuring Line Segments

Vocabulary/Answer key

Measurement

Vocabulary/Answer key

Measurement

The resources above cover the following skills:

Measurement (NCTM)

Understand measurable attributes of objects and the units, systems, and processes of measurement.

Understand such attributes as length, area, weight, volume, and size of angle and select the appropriate type of unit for measuring each attribute.

Understand that measurements are approximations and how differences in units affect precision.

Apply appropriate techniques, tools, and formulas to determine measurements.

Select and apply appropriate standard units and tools to measure length, area, volume, weight, time, temperature, and the size of angles.

Connections to the Grade 3 Focal Points (NCTM)

Measurement: Students in grade 3 strengthen their understanding of fractions as they confront problems in linear measurement that call for more precision than the whole unit allowed them in their work in grade 2. They develop their facility in measuring with fractional parts of linear units. Students develop measurement concepts and skills through experiences in analyzing attributes and properties of two-dimensional objects. They form an understanding of perimeter as a measurable attribute and select appropriate units, strategies, and tools to solve problems involving perimeter.