Equality
Equality refers to the state of being equal, especially in status, rights, and opportunities. In mathematics, equality is a relationship between two expressions that represent the same value. The symbol "=" is used to indicate equality.
Types of Equality
There are two main types of equality in mathematics:
- Numerical Equality: This type of equality refers to the equality of two numerical values, such as 4 = 2 + 2.
- Variable Equality: In this type, variables are used to represent unknown values, and equations are used to show the equality of two expressions, such as x + 3 = 7.
Properties of Equality
When working with equations, it's important to understand the properties of equality:
- Reflexive Property: For any number a, a = a.
- Symmetric Property: If a = b, then b = a.
- Transitive Property: If a = b and b = c, then a = c.
- Addition Property of Equality: If a = b, then a + c = b + c.
- Subtraction Property of Equality: If a = b, then a - c = b - c.
- Multiplication Property of Equality: If a = b, then a * c = b * c (c ≠ 0).
- Division Property of Equality: If a = b, then a / c = b / c (c ≠ 0).
Study Guide
Here are some key points to remember when studying equality:
- Understand the concept of equality as a relationship between two expressions that represent the same value.
- Learn the different types of equality, including numerical equality and variable equality.
- Memorize the properties of equality and understand how they are used to manipulate equations.
- Practice solving equations to reinforce your understanding of equality and its properties.
By mastering the concept of equality and its properties, you will be able to solve various mathematical problems involving equations and expressions.
[Equality] Related Worksheets and Study Guides:
.◂Math Worksheets and Study Guides Sixth Grade. Volume
The resources above cover the following skills:
Geometry (NCTM)
Use visualization, spatial reasoning, and geometric modeling to solve problems.
Use geometric models to represent and explain numerical and algebraic relationships.
Measurement (NCTM)
Apply appropriate techniques, tools, and formulas to determine measurements.
Select and apply techniques and tools to accurately find length, area, volume, and angle measures to appropriate levels of precision.
Develop strategies to determine the surface area and volume of selected prisms, pyramids, and cylinders.
Connections to the Grade 6 Focal Points (NCTM)
Measurement and Geometry: Problems that involve areas and volumes, calling on students to find areas or volumes from lengths or to find lengths from volumes or areas and lengths, are especially appropriate. These problems extend the students' work in grade 5 on area and volume and provide a context for applying new work with equations.