Measures

Measures refer to the process of determining the size, length, weight, volume, or any other attribute of an object or quantity. In mathematics, measures are used to quantify and compare different quantities.

Types of Measures

There are various types of measures used in mathematics, including:

Length: This measures the distance from one point to another in a straight line.
Weight: This measures the heaviness of an object.
Volume: This measures the amount of space occupied by an object or substance.
Time: This measures the duration or interval between events.

Units of Measure

Each type of measure has its own units for quantification. For example:

Length: Units include meters (m), centimeters (cm), and kilometers (km).
Weight: Units include grams (g), kilograms (kg), and pounds (lb).
Volume: Units include liters (L), milliliters (mL), and cubic meters (m³).
Time: Units include seconds (s), minutes (min), hours (hr), and days (d).

Measuring Tools

Various tools are used to measure different attributes, such as rulers and tape measures for length, scales for weight, graduated cylinders for volume, and clocks for time.

Converting Measures

It is often necessary to convert measures from one unit to another. This involves multiplying or dividing by conversion factors to express the quantity in a different unit.

◂Math Worksheets and Study Guides Third Grade. Comparing Fractions

Vocabulary/Answer key

Comparing Fractions

Create And Print more Fractions worksheets with Comparing Fractions

The resources above cover the following skills:

Number and Operations (NCTM)

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

Develop understanding of fractions as parts of unit wholes, as parts of a collection, as locations on number lines, and as divisions of whole numbers.

Use models, benchmarks, and equivalent forms to judge the size of fractions.

Algebra (NCTM)

Use mathematical models to represent and understand quantitative relationships.

Model problem situations with objects and use representations such as graphs, tables, and equations to draw conclusions.

Grade 3 Curriculum Focal Points (NCTM)

Number and Operations: Developing an understanding of fractions and fraction equivalence

Students develop an understanding of the meanings and uses of fractions to represent parts of a whole, parts of a set, or points or distances on a number line. They understand that the size of a fractional part is relative to the size of the whole, and they use fractions to represent numbers that are equal to, less than, or greater than 1. They solve problems that involve comparing and ordering fractions by using models, benchmark fractions, or common numerators or denominators. They understand and use models, including the number line, to identify equivalent fractions.