Help with Sixth Grade Advanced Math

If you're in an advanced sixth grade math class, you'll study many of the same math topics other sixth graders learn, but at a higher level. Keep reading for help with some of the advanced math skills you may encounter.

Find available tutors

Advanced Math for Sixth Grade

Rates, Ratios and Proportions

While most sixth grade students learn about ratios and rates in sixth grade, you might move on to study proportions if you're in an advanced math class. A proportion shows the relationship between two ratios, and you can use proportions to solve problems. For instance, if you know that a plane is traveling 800 miles per hour (800:1), you can use a proportion to figure out how many miles it will have traveled after any given number of hours.

This is an advanced math skill because it builds on another important sixth grade math concept: solving equations with one variable. Here's how it works:

1. Set up the proportion. For example, if you want to know how far the plane will have traveled in 3 hours, you can set up the proportion like this: 800/1 = x/3.
2. Multiply the numerator of each fraction by the denominator of the other fraction, and put the 2 answers on either side of an equals sign, like this: 800 * 3 = 1 * x.
3. Last, solve the equation. In this case, you can just simplify both sides to get the value of 'x.' Since 800 * 3 = 2,400 and 1 * x = x, this means x = 2,400. The plane will have traveled 2,400 miles after 3 hours.

Rational Number Operations

Sixth graders typically learn to graph, compare and order positive and negative numbers. If you're in an advanced math class, you might move beyond this to perform operations like addition, subtraction, multiplication and division with negative integers.

Adding and subtracting with negative numbers is simpler if you use a number line. The first number in the addition or subtraction problem is your starting point on the number line, and the sign (positive or negative) in the middle of the problem tells you which direction to go from your starting point. The second number in the problem tells you how many spaces on the number line you should move in that direction.

For instance, imagine you're given the problem -7 - 2. The -7 tells you to start 7 spaces to the left of 0 on the number line, and the '-' sign in the middle of the problem tells you to continue moving to the left. Since the second number is 2, you'll move 2 spaces to the left of -7 to the answer, -9.

For multiplication and division, just keep in mind that 2 negative numbers multiplied together always have a positive answer (-2 x - 3 = 6). When you multiply or divide 2 numbers with opposite signs, the answer is always negative (-2 x 3 = -6).

Did you find this useful? If so, please let others know!

Other Articles You May Be Interested In

  • More Blog Articles
    Middle School Math Help: Sixth Grade Square Roots

    Learning square roots can be tricky at first, because it's different from all the math you've learned so far. However, with some practice and review, you can master this concept, too. Keep reading to learn more.

  • More Blog Articles
    Elementary Concepts: Sixth Grade Math

    Do you want to assess your child's sixth grade math abilities? This article outlines the skills that most children should understand after completing their sixth grade math course.

We Found 7 Tutors You Might Be Interested In

Huntington Learning

  • What Huntington Learning offers:
  • Online and in-center tutoring
  • One on one tutoring
  • Every Huntington tutor is certified and trained extensively on the most effective teaching methods
In-Center and Online

K12

  • What K12 offers:
  • Online tutoring
  • Has a strong and effective partnership with public and private schools
  • AdvancED-accredited corporation meeting the highest standards of educational management
Online Only

Kaplan Kids

  • What Kaplan Kids offers:
  • Online tutoring
  • Customized learning plans
  • Real-Time Progress Reports track your child's progress
Online Only

Kumon

  • What Kumon offers:
  • In-center tutoring
  • Individualized programs for your child
  • Helps your child develop the skills and study habits needed to improve their academic performance
In-Center and Online

Sylvan Learning

  • What Sylvan Learning offers:
  • Online and in-center tutoring
  • Sylvan tutors are certified teachers who provide personalized instruction
  • Regular assessment and progress reports
In-Home, In-Center and Online

Tutor Doctor

  • What Tutor Doctor offers:
  • In-Home tutoring
  • One on one attention by the tutor
  • Develops personlized programs by working with your child's existing homework
In-Home Only

TutorVista

  • What TutorVista offers:
  • Online tutoring
  • Student works one-on-one with a professional tutor
  • Using the virtual whiteboard workspace to share problems, solutions and explanations
Online Only

Help Your Child Succeed

Our Commitment to You

  • Free Help from Teachers

  • Free Learning Materials

  • Helping Disadvantaged Youth