Fractions

A fraction represents a part of a whole or a part of a group. It is written in the form of one number (numerator) over another number (denominator), separated by a horizontal line. For example, in the fraction 3/4, 3 is the numerator and 4 is the denominator.

Types of Fractions

Fractions can be classified into different types:

Proper Fraction: A fraction where the numerator is less than the denominator, such as 2/5.
Improper Fraction: A fraction where the numerator is greater than or equal to the denominator, such as 7/4.
Mixed Number: A combination of a whole number and a proper fraction, such as 3 1/2.
Equivalent Fractions: Fractions that represent the same part of a whole, such as 1/2 and 2/4.

Operations with Fractions

There are four basic operations that can be performed with fractions:

Addition: To add fractions, the denominators must be the same. If they are not, find a common denominator and then add the numerators.
Subtraction: Similar to addition, but subtract the numerators instead.
Multiplication: Multiply the numerators together to get the new numerator, and multiply the denominators together to get the new denominator.
Division: To divide fractions, multiply the first fraction by the reciprocal of the second fraction (flip the second fraction and then multiply).

Comparison of Fractions

When comparing fractions, if the denominators are the same, you can compare the numerators. If the denominators are different, you can find a common denominator and then compare the numerators.

Understanding fractions is important for many real-life situations, such as cooking, measuring, and dividing quantities into equal parts.

Remember that practice is key to mastering fractions, so keep practicing and solving problems to become more comfortable with them!

◂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.

Fractions

Types of Fractions

Operations with Fractions

Comparison of Fractions

[Fractions] Related Worksheets and Study Guides:

◂Math Worksheets and Study Guides Third Grade. Measurement

The resources above cover the following skills: