Right Angles Study Guide

Definition

A right angle is an angle that measures exactly 90 degrees. In geometric terms, it is formed when two lines intersect and the angles opposite each other are equal and measure 90 degrees.

Symbol

The symbol for a right angle is a small square placed in the corner of the angle.

Properties

A right angle is always exactly 90 degrees.
A right angle is one-quarter of a full 360-degree circle.
When two lines form a right angle, they are perpendicular to each other.

Examples

Here are some examples of right angles in everyday objects:

The corner of a book
The shape of a square or rectangle
The hands of a clock at 3:00

Practice Problems

Now, let's practice identifying right angles:

Identify the right angles in the following shapes:
- square.png" alt="Square with right angles">
- triangle.png" alt="Triangle without right angles">
Measure the angles in the clock showing 6:00. Are any of the angles right angles?

Conclusion

Understanding right angles is essential in geometry and in everyday life. Being able to identify and work with right angles will help in various math and real-world applications.

◂Math Worksheets and Study Guides Fifth Grade. Adding Fractions

Create And Print more Fractions worksheets with Comparing Fractions, Equivalent Fractions, and Simplifying 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.

Compute fluently and make reasonable estimates.

Use visual models, benchmarks, and equivalent forms to add and subtract commonly used fractions and decimals.

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.

Connections to the Grade 5 Focal Points (NCTM)

Algebra: Students use patterns, models, and relationships as contexts for writing and solving simple equations and inequalities. They create graphs of simple equations. They explore prime and composite numbers and discover concepts related to the addition and subtraction of fractions as they use factors and multiples, including applications of common factors and common multiples. They develop an understanding of the order of operations and use it for all operations.