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6th Grade Math

Common Core 6th Grade Math

Watch ratio and algebra videos, practice with hundreds of equations and geometry problems

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My daughter went from struggling with ratios to confidently solving word problems in just two months with StudyPug's step-by-step videos

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Why Choose StudyPug for Grade 6

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How Common Core Students Use StudyPug

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Select Grade Level

Choose your Common Core grade (K-12) and current math topics.

2

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Upload homework problems or browse curriculum-aligned lessons.

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Practice & Master

Work through similar problems until concepts stick.

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Common Core 6th Grade Math Help | Build Strong SkillsHelp

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Common Core ID

Standard

StudyPug Topic

6.RP.A.1

Understand the concept of a ratio and use ratio language to describe a ratio relationship between two quantities.

6.RP.A.2

Understand the concept of a unit rate a/b associated with a ratio a:b with b ≠ 0, and use rate language in the context of a ratio relationship.

6.RP.A.3

Use ratio and rate reasoning to solve real-world and mathematical problems.

6.NS.A.1

Interpret and compute quotients of fractions, and solve word problems involving division of fractions by fractions.

6.NS.B.2

Fluently divide multi-digit numbers using the standard algorithm.

6.NS.B.3

Fluently add, subtract, multiply, and divide multi-digit decimals using the standard algorithm for each operation.

6.NS.B.4

Find the greatest common factor of two whole numbers less than or equal to 100 and the least common multiple of two whole numbers less than or equal to 12.

6.NS.5

Understand that positive and negative numbers are used together to describe quantities having opposite directions or values.

6.NS.6

Understand a rational number as a point on the number line. Extend number line diagrams and coordinate axes familiar from previous grades to represent points on the line and in the plane with negative number coordinates.

6.NS.7

Understand ordering and absolute value of rational numbers.

6.NS.8

Solve real-world and mathematical problems by graphing points in all four quadrants of the coordinate plane.

6.EE.A.1

Write and evaluate numerical expressions involving whole-number exponents.

6.EE.A.2

Write, read, and evaluate expressions in which letters stand for numbers.

6.EE.A.3

Apply the properties of operations to generate equivalent expressions.

6.EE.A.4

Identify when two expressions are equivalent.

6.EE.A.5

Understand solving an equation or inequality as a process of answering a question: which values from a specified set, if any, make the equation or inequality true?

6.EE.B.6

Use variables to represent numbers and write expressions when solving a real-world or mathematical problem.

6.EE.B.7

Solve real-world and mathematical problems by writing and solving equations of the form x + p = q and px = q for cases in which p, q and x are all nonnegative rational numbers.

6.EE.B.8

Write an inequality of the form x > c or x < c to represent a constraint or condition in a real-world or mathematical problem.

6.EE.C.9

Use variables to represent two quantities in a real-world problem that change in relationship to one another; write an equation to express one quantity, thought of as the dependent variable, in terms of the other quantity, thought of as the independent variable.

6.G.A.1

Find the area of right triangles, other triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles and other shapes.

6.G.A.2

Find the volume of a right rectangular prism with fractional edge lengths by packing it with unit cubes of the appropriate unit fraction edge lengths.

6.G.A.3

Draw polygons in the coordinate plane given coordinates for the vertices; use coordinates to find the length of a side joining points with the same first coordinate or the same second coordinate.

6.G.A.4

Represent three-dimensional figures using nets made up of rectangles and triangles, and use the nets to find the surface area of these figures.

6.SP.A.1

Recognize a statistical question as one that anticipates variability in the data related to the question and accounts for it in the answers.

6.SP.A.2

Understand that a set of data collected to answer a statistical question has a distribution which can be described by its center, spread, and overall shape.

6.SP.A.3

Recognize that a measure of center for a numerical data set summarizes all of its values with a single number, while a measure of variation describes how its values vary with a single number.

6.SP.B.4

Display numerical data in plots on a number line, including dot plots, histograms, and box plots.
Complete Common Core 6th Grade Math Coverage

Grade 6 Lessons

59

Video Explanations

503

Practice Problems

231

Common Core Standards

100% Aligned

Why Common Core Families Choose StudyPug

State Test Prep

State Test Prep

Practice problems and lessons prepare your child for state assessments

Certified Teachers

Certified Teachers

Certified teachers with expertise in Common Core curriculum standards

Step-by-Step Solutions

Step-by-Step Solutions

Every problem broken down into clear steps your child can follow and understand

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Success Stories

The ratio lessons clicked for my son after three weeks. He's now doing homework independently and his grades jumped from C to A

Patricia L

My daughter was anxious about negative numbers. Now she loves coordinate plane problems and volunteers to solve them in class

David K

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Common Questions About 6th Grade Math

Get answers to frequently asked questions about our 6th Grade Math program

Is StudyPug aligned with Common Core State Standards for Grade 6?

Yes, our 6th Grade Math course is 100% aligned with Common Core State Standards, covering all domains including ratios, number systems, expressions, equations, geometry, and statistics.

What topics does 6th Grade Math cover?

Grade 6 covers ratios and proportional relationships, number operations with fractions and decimals, negative numbers, algebraic expressions and equations, geometry including area and volume, and statistics and data analysis.

How does StudyPug help with ratio and proportion problems?

Our video lessons break down ratio concepts step-by-step, from basic ratio language to solving complex real-world problems. Practice problems adapt to your child's level with immediate feedback.

Can StudyPug help prepare for state assessments?

Yes, our comprehensive practice problems and lessons align with state testing standards. The diagnostic assessment identifies gaps and creates a personalized study plan for test readiness.

What makes 6th Grade Math different from Grade 5?

Grade 6 introduces ratios, negative numbers, algebraic expressions and equations, and more complex geometry. StudyPug bridges the gap with lessons that build on Grade 5 foundations while introducing new concepts systematically.

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