Colorado6th Grade Math
Colorado 6th Grade Math Curriculum
Video lessons and practice for every 6th grade math topic. Aligned to Colorado Academic Standards Math so your child keeps up with what Colorado schools teach.
Colorado 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
Colorado 6th grade math builds on skills from 5th grade and introduces new concepts across six major areas. StudyPug covers every topic aligned to the Colorado Academic Standards Math so students are never left behind.
- Ratios and Proportional Relationships: Students learn to describe ratios, understand unit rates, and apply ratio reasoning to solve real-world problems.
- The Number System: Topics include dividing fractions by fractions, multi-digit division and decimal operations, greatest common factor, least common multiple, and negative numbers on the number line.
- Expressions and Equations: Students write and evaluate numerical and algebraic expressions, apply properties of operations, and solve equations and inequalities of the form x + p = q and px = q.
- Geometry: 6th graders find areas of triangles and polygons, compute volumes of rectangular prisms with fractional edges, use coordinate planes, and calculate surface area using nets.
- Statistics and Probability: Students recognize statistical questions, describe data distributions, calculate measures of center and variation, and display data using dot plots, histograms, and box plots.
How StudyPug Supports Colorado 6th Graders
Each StudyPug lesson is a short video explanation followed by practice problems your child can work through at their own pace. If a concept is confusing, they can rewatch the lesson as many times as needed. This makes it easy to catch up after missing class or to get ahead before a test.
All content is aligned to Colorado Academic Standards Math for 6th grade, which means what your child studies on StudyPug matches exactly what their Colorado teacher is covering in class. This alignment also supports preparation for the CMAS Math assessment taken in 6th grade.
Preparing for CMAS Math in Colorado
Colorado administers the CMAS Math assessment to students in grades 3 through 8. For 6th graders, this test covers the full range of Colorado Academic Standards Math topics introduced at this grade level — including ratios, the number system, expressions, equations, geometry, and statistics. StudyPug's practice problems and video lessons help students review each standard before test day.
Explore all Colorado Math Curricula on StudyPug