Will this help with my child's 6th grade math homework?

Yes. StudyPug covers every strand in Montana's Grade 6 math curriculum, so when your child gets stuck on ratios, equations, or geometry, they can find the matching lesson and worked examples right away.

How long are the video lessons?

Most video lessons run between 5 and 15 minutes, keeping things focused on one concept at a time. Students can pause, rewind, and rewatch as often as they need before moving on to practice problems.

Is there a state test for Grade 6 math in Montana?

Montana administers the Montana Content Assessment (Montana CAA) in math. Grade 6 is one of the tested grades, so practicing the full range of strands covered here helps students prepare for that assessment.

Can my child use StudyPug on a tablet or phone?

Yes. StudyPug works on tablets, phones, and computers, so your child can practice Grade 6 math at home, at school, or on the go without needing to download a separate app.

Can I try StudyPug before paying?

Yes. StudyPug offers free sample lessons so you can see how the content works before subscribing. There is also a 30-day money-back guarantee if the plan is not the right fit for your family.

MT Grade 6 Math Curriculum

Give your child the support they need for 6th grade math in Montana. Our lessons cover every strand local schools teach, from ratios and expressions to geometry and data analysis.

MT Grade 6 Math Curriculum

IDStandardStudyPug Topic

6.RP.A.1Understand the concept of a ratio and use ratio language to describe a ratio relationship between two quantities.
- What is ratio?
- Ratios
6.RP.A.2Understand 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.
- Converting among ratios, fractions and decimals
- Rates
6.RP.A.3Use ratio and rate reasoning to solve real-world and mathematical problems.
- Rates with fractions
- Proportions
6.NS.A.1Interpret and compute quotients of fractions, and solve word problems involving division of fractions by fractions.
- Dividing fractions and mixed numbers
- Applications of fraction operations
6.NS.B.2Fluently divide multi-digit numbers using the standard algorithm.
- Dividing multi-digit numbers
- Dividing decimals
6.NS.B.3Fluently add, subtract, multiply, and divide multi-digit decimals using the standard algorithm for each operation.
- Adding and subtracting decimals
- Multiplying decimals
6.NS.B.4Find 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.
- Determining common factors
- Greatest common factors (GCF)
- Least common multiple (LCM)
- Determining common multiples
6.NS.5Understand that positive and negative numbers are used together to describe quantities having opposite directions or values.
- Introduction to integer addition
6.NS.6Understand 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.
- Adding integers
6.NS.7Understand ordering and absolute value of rational numbers.
- Introduction to integer subtraction
6.NS.8Solve real-world and mathematical problems by graphing points in all four quadrants of the coordinate plane.
- Cartesian plane
6.EE.A.1Write and evaluate numerical expressions involving whole-number exponents.
- Using exponents to describe numbers
- Introduction to exponents
6.EE.A.2Write, read, and evaluate expressions in which letters stand for numbers.
- Writing expressions with variables
- Evaluating algebraic expressions
6.EE.A.3Apply the properties of operations to generate equivalent expressions.
- Combining like terms
- Order of operations (PEMDAS)
6.EE.A.4Identify when two expressions are equivalent.
- Equivalent expressions
- Patterns
6.EE.A.5Understand 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?
- Introduction to linear equations
6.EE.B.6Use variables to represent numbers and write expressions when solving a real-world or mathematical problem.
- Introduction to nonlinear equations
6.EE.B.7Solve 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.
- Special case of linear equations: Horizontal lines
- Model and solve one-step linear equations: ax = b, x/a = b
- Solving one - step equations: x + a = b
6.EE.B.8Write an inequality of the form x > c or x < c to represent a constraint or condition in a real-world or mathematical problem.
- Express linear inequalities graphically and algebraically
- Solving one-step linear inequalities
6.EE.C.9Use 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.
- Representing patterns in linear relations
- Reading linear relation graphs
- Solving linear equations by graphing
6.G.A.1Find the area of right triangles, other triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles and other shapes.
- Area and perimeter of triangles
- Area and perimeter of rectangles
- Area and perimeter of parallelograms
6.G.A.2Find the volume of a right rectangular prism with fractional edge lengths by packing it with unit cubes of the appropriate unit fraction edge lengths.
- Introduction to volume
- Volume of prisms
6.G.A.3Draw 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.
- Draw on coordinate planes
6.G.A.4Represent three-dimensional figures using nets made up of rectangles and triangles, and use the nets to find the surface area of these figures.
- Surface area of prisms
- Introduction to surface area of 3-dimensional shapes
- Nets of 3-dimensional shapes
6.SP.A.1Recognize a statistical question as one that anticipates variability in the data related to the question and accounts for it in the answers.
- Median and mode
6.SP.A.2Understand 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.
- Mean
6.SP.A.3Recognize 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.
- Range and outliers
6.SP.B.4Display numerical data in plots on a number line, including dot plots, histograms, and box plots.
- Reading and drawing histograms
- Reading and drawing bar graphs
- Box-and-whisker plots and scatter plots
- Frequency tables and dot plots
6.SP.B.5Summarize numerical data sets in relation to their context.
- Application of averages
- Advantages and disadvantages of different graphs
- Misleading graphs
- Critiquing data presentation

6th Grade Math

About Grade 6 Montana math

Montana follows the Montana Content Standards for mathematics, which organize 6th grade work into interconnected strands. Students in this grade tackle ratios and proportional relationships, number operations including fractions and decimals, early algebra with expressions and equations, geometry covering area and surface area, and statistics and probability. StudyPug provides step-by-step lessons and practice problems aligned to every one of these strands so students can keep up with and get ahead in class.

Strands: ratios and rates, number systems, expressions and equations, geometry, and statistics and data
Video lessons for every 6th grade math topic in the Montana Content Standards
Practice problems and worked examples after every lesson
Progress tracking aligned to the Montana Academic Standards for Grade 6

Curriculum topics by strand

Browse lessons and practice problems organized by strand and aligned to the Montana Content Standards for 6th grade math.

Topic includes:

Practice

Video

Quiz

Standard

StudyPug Topic

Montana Grade 6 Math Topics

Ratios and Proportional Relationships: Understand ratio concepts, unit rates, and use ratio and rate reasoning to solve real-world problems.
The Number System: Divide fractions by fractions, fluently operate with multi-digit numbers and decimals, and find greatest common factors and least common multiples.
Expressions and Equations: Write and evaluate numerical and algebraic expressions, apply properties of operations, solve equations and inequalities, and work with dependent and independent variables.
Geometry: Find areas of triangles and polygons, compute volumes of rectangular prisms with fractional edge lengths, use the coordinate plane, and find surface area using nets.
Statistics and Probability: Recognize statistical questions, describe data distributions by center and spread, and display data in dot plots, histograms, and box plots.

How StudyPug Helps Montana Grade 6 Math Students

When a student hits a wall on a concept like rational numbers or writing equations, StudyPug lets them go back to the exact lesson they need without waiting for the next class. Each topic is covered with a clear video lesson followed by practice problems, so students can check their understanding right away. You can also try a 6th grade math quiz to see which strands need more work.

StudyPug also covers the full Grade 5 foundation, so if gaps from an earlier year are slowing a student down, they can review without falling behind in Grade 6. This continuity makes it easy for families to support learning at home alongside what Montana schools are teaching.

Aligned to Montana Grade 6 Math Curriculum

Every lesson on StudyPug is built around the Montana Content Standards, which means the topics, vocabulary, and problem types your child sees here match what their teacher assigns. Whether the class is working on the coordinate plane, surface area, or summarizing data sets, the corresponding StudyPug lessons follow the same progression outlined in the Montana Academic Standards, keeping practice directly relevant to what students are tested on in class and on state assessments.

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Written by the StudyPug Math Team

Last updated June 5, 2026

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