Common Core: 6th Grade Math

Explore the foundational concepts of mathematics through engaging lessons and problem-solving strategies designed for 6th graders.

Understanding RatiosWorking with Fractions and DecimalsIntroduction to Integers
Solving Equations and ExpressionsUnderstanding Area, Surface Area, and VolumeStatistics: Mean, Median, and Mode
Budgeting and Money MathMath in Cooking and RecipesMath in Sports and Games
Breaking Down Word ProblemsEstimation and Checking Your Work
Understanding RatiosWorking with Fractio...Introduction to Inte...Solving Equations an...Understanding Area, ...Statistics: Mean, Me...Budgeting and Money ...Math in Cooking and ...Math in Sports and G...Breaking Down Word P...Estimation and Check...
Advanced Topics

Solving Equations and Expressions

Cracking the Code: Equations and Expressions

An expression is a math sentence with numbers and symbols, but no equals sign. An equation has an equals sign and shows two things are the same.

How to Solve Equations

  • One-Step Equations: Get the variable by itself by doing the opposite operation.
  • Checking Your Work: Plug your answer back in to see if it works!

Real-World Connections

Equations help you solve for unknowns, like figuring out how much money you need to buy a game after saving some allowance.

Tips

Remember, whatever you do to one side of the equation, do to the other!

Key Formula

\[x + 5 = 12\]

Examples

  • If x + 7 = 10, then x = 3.

  • Expression: 3y + 2. Equation: 3y + 2 = 11.

In a Nutshell

Equations help us find unknown values, while expressions show relationships between numbers.

Key Terms

Equation
A mathematical statement that shows two things are equal.
Variable
A letter or symbol that stands for a number.
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Understanding Area, Surface Area, and Volume