VermontVermont 6th Grade Math Curriculum
Video lessons and practice for every 6th grade math topic. Aligned to Vermont Mathematics Standards so students can keep up with class or get ahead.
Vermont 6th Grade Math Curriculum | StudyPugHelp
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. |
6.SP.B.5 | Summarize numerical data sets in relation to their context. |
6th Grade Math Topics Covered
Vermont 6th grade math spans a wide range of concepts aligned to the Vermont Mathematics Standards. StudyPug organizes every topic into clear, searchable lessons so students and parents can find help fast. Key areas include:
- Ratios and Rates: Understanding ratios, unit rates, and using ratio reasoning to solve real-world problems.
- Fractions and Decimals: Dividing fractions by fractions and fluently computing with multi-digit decimals.
- Number System: Positive and negative numbers, the number line, rational numbers, absolute value, and the coordinate plane.
- Expressions and Equations: Writing and evaluating expressions with exponents, applying properties of operations, solving equations of the form x + p = q and px = q, and writing inequalities.
- Geometry: Area of triangles and polygons, volume of rectangular prisms with fractional edges, coordinate plane geometry, and surface area using nets.
- Statistics and Probability: Statistical questions, distribution, measures of center and variation, dot plots, histograms, box plots, and summarizing data sets.
How StudyPug Aligns to Vermont Mathematics Standards
Every lesson on this page maps directly to a Vermont Mathematics Standards topic. When your child's teacher assigns a standard, you can find the matching lesson in the topic table above and start practicing immediately. This alignment means students are never studying content that doesn't apply to what Vermont schools expect them to know.
Getting Ready for VCAP
Vermont uses the VCAP (Vermont Comprehensive Assessment Program) to measure student progress in math for grades 3 through 8. 6th grade is a tested year. Practicing the topics on this page helps students build the skills and confidence they need before assessment day. StudyPug's practice problems mirror the types of questions students encounter on standardized assessments, making it a practical tool for test preparation.
How to Use StudyPug for 6th Grade Math
Using StudyPug is straightforward. Find the topic your child is studying in the table above, watch the video lesson, then complete the practice problems. If your child gets stuck, they can rewatch any part of the lesson. There is no fixed schedule — students move at their own pace, whether they need to catch up, keep up, or get ahead.
Start with a free account today and explore 6th grade math lessons aligned to Vermont Mathematics Standards.