Rhombus

A rhombus is a type of quadrilateral, which means it has four sides. What makes a rhombus unique is that all four sides are of equal length. In addition, opposite angles of a rhombus are equal. This means that if you were to draw a diagonal line from one corner of the rhombus to the opposite corner, you would create two congruent triangles.

Properties of a Rhombus:

All four sides are of equal length
Opposite angles are equal
Diagonals bisect each other at right angles
The diagonals are perpendicular to each other
The diagonals bisect the angles of the rhombus

Formulas for Rhombus:

Area of a rhombus = (diagonal 1 * diagonal 2) / 2

Perimeter of a rhombus = 4 * side length

Practice Problems:

1. Find the area of a rhombus with side length 6 and one diagonal length 8.

Area = (6 * 8) / 2 = 24 square units

2. If the perimeter of a rhombus is 20 units, what is the length of each side?

Each side length = 20 / 4 = 5 units

Conclusion:

A rhombus is a special type of quadrilateral with unique properties. Remember to use the formulas for area and perimeter to solve problems related to rhombuses.

◂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.