MichiganMichigan 6th Grade Math Curriculum
Video lessons and practice for every 6th grade math topic. Aligned to Michigan Mathematics Standards so your child keeps up with class.
Michigan 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. |
Michigan 6th Grade Math: Topics and Skills
Michigan 6th grade math builds the foundation students need for middle school and beyond. Aligned to Michigan Mathematics Standards, the 6th grade curriculum covers six major areas: ratios and proportional relationships, the number system, expressions and equations, geometry, and statistics and probability.
Ratios and Proportional Relationships
Students start by understanding what a ratio is and how to describe relationships between quantities using ratio language. They move on to unit rates, exploring how a ratio a:b relates to a/b, and then apply ratio and rate reasoning to solve real-world problems. These skills show up on the M-STEP and form the backbone of 7th grade proportional reasoning.
The Number System
6th graders extend their number sense to include negative numbers and rational numbers. They learn to place rational numbers on a number line, understand absolute value, and graph points in all four quadrants of the coordinate plane. They also practice dividing fractions by fractions and build fluency with multi-digit numbers and decimals using standard algorithms.
- Divide fractions by fractions and solve word problems
- Fluently divide multi-digit numbers
- Add, subtract, multiply, and divide multi-digit decimals
- Find greatest common factors and least common multiples
- Understand and order rational numbers including negatives
Expressions and Equations
Students learn to write and evaluate numerical expressions with whole-number exponents, use variables to write and read algebraic expressions, and apply properties of operations to create equivalent expressions. They solve one-step equations and inequalities and begin exploring dependent and independent variables — key skills for algebra in 7th and 8th grade.
Geometry
6th grade geometry focuses on area, surface area, and volume. Students find areas of triangles, quadrilaterals, and polygons, calculate volumes of rectangular prisms with fractional edge lengths, draw polygons in the coordinate plane, and use nets to find surface areas of 3D figures.
Statistics and Data Analysis
Students learn what makes a question statistical, how to describe a data distribution by its center and spread, and how to display data using dot plots, histograms, and box plots. They summarize data sets and interpret what measures of center and variation tell us about real-world situations.
How StudyPug Helps Michigan 6th Graders
Every topic above has a dedicated video lesson and practice problems on StudyPug. Students can search by topic, watch a short lesson, and immediately practice what they learned. Parents can track progress and see which topics need more attention. Whether your child is preparing for the M-STEP or just trying to keep up with class, StudyPug covers every Michigan Mathematics Standards topic for 6th grade math.