Common Core: 6th Grade Math

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

Basic Concepts

Working with Fractions and Decimals

Fractions and Decimals: Two Sides of the Same Coin

Fractions and decimals are two ways to represent parts of a whole. Fractions use two numbers, one on top of the other, while decimals use a point to separate whole numbers from parts.

Converting Between Fractions and Decimals

You can turn a fraction into a decimal by dividing the top number (numerator) by the bottom number (denominator).

  • \( \frac{1}{2} = 0.5 \)
  • \( \frac{3}{4} = 0.75 \)

Adding and Subtracting Fractions

To add or subtract fractions, they need to have the same denominator. If they don’t, find a common denominator first!

Why It Matters

Understanding fractions and decimals helps you in activities like measuring ingredients, handling money, or reading statistics in sports.

Real Life Is Full of Fractions and Decimals

From splitting a pizza to calculating your test score, fractions and decimals are everywhere!

Examples

  • You ran half a mile, which is 0.5 miles.

  • If you have $1.25, that's the same as 1 and 1/4 dollars.

In a Nutshell

Fractions and decimals help us understand and work with parts of a whole.

Key Terms

Fraction
A way to show part of a whole using two numbers, a numerator and a denominator.
Decimal
A number that shows part of a whole, separated by a decimal point.