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6th Grade Math

Colorado Grade 6 Math

Step-by-step video lessons and practice aligned to the Colorado Grade 6 curriculum

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Three ways your child gets help — even when you can't

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Choose Grade 6 and see every topic from your child's class

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Work through similar problems until concepts stick.

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Colorado Grade 6 Math Help | StudyPugHelp

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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 Colorado Grade 6 Math Coverage

LESSONS

58

VIDEOS

503

PRACTICE

276

CO ALIGNED

100%

Why Colorado Families Choose StudyPug for Grade 6

Perfectly aligned to Colorado 6th grade standards and CMAS preparation, with expert teachers who make ratios, integers, and algebraic thinking clear.

Colorado Standards Aligned
Colorado Standards Aligned

Every lesson matches Grade 6 Colorado Academic Standards for ratios, expressions, geometry, and data analysis.

CMAS Test Preparation
CMAS Test Preparation

Practice problems mirror CMAS question formats to build confidence for assessment day.

Certified Math Teachers
Certified Math Teachers

Learn from experienced educators who break down complex Grade 6 concepts into simple steps.

Step-by-Step Solutions
Step-by-Step Solutions

See complete solution paths for every practice problem — no guessing how to get the answer.

Trusted by 12,000+ CO families building math confidence building math confidence

Frequently Asked Questions

Everything your child needs to know about Grade 6 Math with StudyPug

Is StudyPug aligned with the Colorado Grade 6 curriculum?

Yes. StudyPug is fully aligned to Colorado Academic Standards for Grade 6 mathematics. Every lesson covers the required content areas: ratios and proportional relationships, the number system (integers, fractions, decimals), expressions and equations, geometry (area, surface area, volume), and statistics and probability.

What topics are covered in Grade 6 Math?

Grade 6 math covers ratios and unit rates, dividing fractions, multi-digit decimal operations, positive and negative integers, greatest common factors and least common multiples, exponents and order of operations, algebraic expressions and one-step equations, inequalities, coordinate planes, area and volume of shapes, surface area of prisms, and data analysis including mean, median, mode, and graphing.

How does StudyPug help my Grade 6 child learn math?

StudyPug offers step-by-step video lessons taught by certified teachers, unlimited practice problems with instant feedback, photo search to find help on specific homework questions, and adaptive quizzes that adjust to your child's skill level. Progress tracking shows you exactly which topics they've mastered and where they need more practice.

Can my child use StudyPug independently?

Yes. StudyPug is designed for independent learning. Your Grade 6 child can search for specific topics, watch video explanations, and work through practice problems at their own pace. The platform provides immediate feedback and step-by-step solutions so they can learn without waiting for adult help. You can monitor their progress through the parent dashboard.

Does StudyPug prepare students for CMAS testing?

Yes. StudyPug's practice problems mirror CMAS question formats and cover all Grade 6 Colorado Academic Standards assessed on the CMAS math test. Regular practice with our adaptive system builds both content mastery and test-taking confidence. Many Colorado families use StudyPug specifically for CMAS preparation throughout the school year.

How much does StudyPug cost?

StudyPug offers flexible subscription plans starting at $19.99 per month. All plans include unlimited access to Grade 6 lessons, videos, practice problems, and progress tracking. Family plans cover multiple children at a discounted rate. We offer a satisfaction guarantee, and you can cancel anytime. Visit our pricing page for current promotions and plan details.

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