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Wisconsin Grade 6 Math

Wisconsin Grade 6 Math: explore grade-level lessons, worksheets, and learning references. Check the curriculum source and choose practice for your next skill.

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Standards source: Academic Standards, Wisconsin Department of Public Instruction.

Wisconsin Grade 6 Math Skill Quizzes

Short, focused quizzes, pick one skill, answer 10 questions, get instant scoring and full solutions, then jump to the matching lesson. Each opens right here.

Wisconsin Forward Exam Grade 6 Math Snapshot

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Wisconsin Grade 6 Math Topics

Student-friendly Grade 6 math skills connected to the Wisconsin standards, each tagged with its Forward Exam standard code and a focused lesson.

Forward Exam standard codes

Wisconsin Grade 6 Math Standards

The official Wisconsin Grade 6 math standards, grouped by domain with the exact code and description for each expectation.

6.RP · Ratios & Proportional Relationships

  • 6.RP.A.1Understand the concept of a ratio and use ratio language to describe a ratio relationship between two quantities
  • 6.RP.A.2Understand the concept of a unit rate
  • 6.RP.A.3Use ratio and rate reasoning to solve real-world and mathematical problems, e.g., by reasoning about tables of equivalent ratios, tape diagrams, double number lines, or equations

M.6

  • M.6.RP.A.1Understand the concept of a ratio and use ratio language to describe a ratio relationship between two quantities
  • M.6.RP.A.2Understand the concept of a unit ratea/bassociated with a ratioa:bwithb≠ 0, and use rate language in the context of a ratio relationship. Expectations for unit rates in this grade are limited to non-complex fractions
  • M.6.RP.A.3Use ratio and rate reasoning to solve real-world and mathematical problems, e.g., by reasoning about tables of equivalent ratios, tape diagrams, double number lines, or equations
  • M.6.NS.A.1Interpret, represent and compute division of fractions by fractions; and solve word problems by using visual fraction models (e.g., tape diagrams, area models, or number lines), equations, and the relationship between multiplication and division
  • M.6.NS.B.2Flexibly and efficiently divide multi-digit whole numbers using strategies or algorithms based on place value, area models, and the properties of operations
  • M.6.NS.B.3Flexibly and efficiently add, subtract, multiply, and divide multi-digit decimals using strategies or algorithms based on place value, visual models, the relationship between operations and the properties of operations
  • M.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. Use the distributive property to express a sum of two whole numbers 1-100 with a common factor as a multiple of a sum of two whole numbers with no common factor
  • M.6.NS.C.5Understand that positive and negative numbers are used together to describe quantities having opposite directions or values (e.g., temperature above/below zero, elevation above/below sea level, credits/debits, positive/negative electric charge); use positive and negative numbers to represent quantities in real-world contexts, explaining the meaning of 0 in each situation
  • M.6.NS.C.6Understand a rational number as a point on the number line. Extend number lines and coordinate axes familiar from previous grades to represent points on the line and in the plane with negative number coordinates
  • M.6.NS.C.6aRecognize opposite signs of numbers as indicating locations on opposite sides of 0 on the number line; recognize that the opposite of the opposite of a number is the number itself, e.g., -(-3) = 3, and that 0 is its own opposite
  • M.6.NS.C.6bUnderstand signs of numbers in ordered pairs as indicating locations in quadrants of the coordinate plane; recognize that when two ordered pairs differ only by signs, the locations of the points are related by reflections across one or both axes
  • M.6.NS.C.6cFind and position integers and other rational numbers on a horizontal or vertical number line diagram; find and position pairs of integers and other rational numbers on a coordinate plane
  • M.6.NS.C.7Understand ordering and absolute value of rational numbers
  • M.6.NS.C.7aInterpret statements of inequality as statements about the relative position of two numbers on a number line diagram
  • M.6.NS.C.7bWrite, interpret, and explain statements of order for rational numbers in real-world contexts
  • M.6.NS.C.7cUnderstand the absolute value of a rational number as its distance from 0 on the number line; interpret absolute value as magnitude for a positive or negative quantity in a real-world situation
  • M.6.NS.C.7dDistinguish comparisons of absolute value from statements about order
  • M.6.NS.C.8Solve real-world and mathematical problems by graphing points in all four quadrants of the coordinate plane. Include use of coordinates and absolute value to find distances between points with the same first coordinate or the same second coordinate
  • M.6.EE.A.1Write and evaluate numerical expressions involving whole-number exponents
  • M.6.EE.A.2Write, read, and evaluate expressions in which letters stand for numbers
  • M.6.EE.A.2aWrite expressions that record operations with numbers and with letters standing for numbers
  • M.6.EE.A.2bIdentify parts of an expression using mathematical terms (sum, term, product, factor, quotient, coefficient); view one or more parts of an expression as a single entity
  • M.6.EE.A.2cEvaluate expressions at specific values of their variables. Include expressions that arise from formulas used in real-world problems. Perform arithmetic operations, including those involving whole number exponents, in the conventional order when there are no parentheses to specify a particular order (Order of Operations)
  • M.6.EE.A.3Apply the properties of operations to generate equivalent expressions
  • M.6.EE.A.4Identify when two expressions are equivalent (e.g., when the two expressions name the same number regardless of which value is substituted into them)
  • M.6.EE.B.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? Use substitution to determine whether a given number in a specified set makes an equation or inequality true
  • M.6.EE.B.6Use variables to represent numbers and write expressions when solving a real-world or mathematical problem; understand that a variable can represent an unknown number, or, depending on the purpose at hand, any number in a specified set
  • M.6.EE.B.7Solve real-world and mathematical problems by writing and solving equations of the formx+p=qandpx=qfor cases in whichp,qandxare all nonnegative rational numbers
  • M.6.EE.B.8Write an inequality of the formx>corx<cto represent a constraint or condition in a real-world or mathematical problem. Recognize that inequalities of the formx>corx<chave infinitely many solutions; represent solutions of such inequalities on number line diagrams
  • M.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. Analyze the relationship between the dependent and independent variables using graphs and tables, and relate these to the equation
  • M.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; apply these techniques in the context of solving real-world and mathematical problems
  • M.6.G.A.2Find volumes of right rectangular prisms with fractional edge lengths by using physical or virtual unit cubes. Develop (construct) and apply the formulasV=l w handV=B hto find volumes of right rectangular prisms in the context of solving real-world and mathematical problems
  • M.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. Apply these techniques in the context of solving real-world and mathematical problems
  • M.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. Apply these techniques in the context of solving real-world and mathematical problems
  • M.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
  • M.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
  • M.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
  • M.6.SP.B.4Display numerical data in plots on a number line, including dot plots, histograms, and box plots
  • M.6.SP.B.5Summarize numerical data sets in relation to their context, such as by:
  • M.6.SP.B.5aReporting the number of observations
  • M.6.SP.B.5bDescribing the nature of the attribute under investigation, including how it was measured and its units of measurement
  • M.6.SP.B.5cDescribing any overall pattern and any striking deviations from the overall pattern with reference to the context in which the data were gathered and the quantitative measures of center (median and/or mean) and variability (interquartile range and/or mean absolute deviation) were given
  • M.6.SP.B.5dRelating the choice of measures of center and variability to the shape of the data distribution and the context in which the data were gathered

6.NS · The Number System

  • 6.NS.A.1Interpret, represent and compute division of fractions by fractions; and solve word problems by using visual fraction models (e.g., tape diagrams, area models, or number lines), equations, and the relationship between multiplication and division
  • 6.NS.B.2Flexibly and efficiently divide multi-digit whole numbers using strategies or algorithms based on place value, area models, and the properties of operations
  • 6.NS.B.3Flexibly and efficiently add, subtract, multiply, and divide multi-digit decimals using strategies or algorithms based on place value, visual models, the relationship between operations and the properties of operations
  • 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. Use the distributive property to express a sum of two whole numbers 1-100 with a common factor as a multiple of a sum of two whole numbers with no common factor
  • 6.NS.C.5Understand that positive and negative numbers are used together to describe quantities having opposite directions or values (e.g., temperature above/below zero, elevation above/below sea level, credits/debits, positive/negative electric charge); use positive and negative numbers to represent quantities in real-world contexts, explaining the meaning of 0 in each situation
  • 6.NS.C.6Understand a rational number as a point on the number line. Extend number lines and coordinate axes familiar from previous grades to represent points on the line and in the plane with negative number coordinates
  • 6.NS.C.6aRecognize opposite signs of numbers as indicating locations on opposite sides of 0 on the number line; recognize that the opposite of the opposite of a number is the number itself, e.g., -(-3) = 3, and that 0 is its own opposite
  • 6.NS.C.6bUnderstand signs of numbers in ordered pairs as indicating locations in quadrants of the coordinate plane; recognize that when two ordered pairs differ only by signs, the locations of the points are related by reflections across one or both axes
  • 6.NS.C.6cFind and position integers and other rational numbers on a horizontal or vertical number line diagram; find and position pairs of integers and other rational numbers on a coordinate plane
  • 6.NS.C.7Understand ordering and absolute value of rational numbers
  • 6.NS.C.7aInterpret statements of inequality as statements about the relative position of two numbers on a number line diagram
  • 6.NS.C.7bWrite, interpret, and explain statements of order for rational numbers in real-world contexts
  • 6.NS.C.7cUnderstand the absolute value of a rational number as its distance from 0 on the number line; interpret absolute value as magnitude for a positive or negative quantity in a real-world situation
  • 6.NS.C.7dDistinguish comparisons of absolute value from statements about order
  • 6.NS.C.8Solve real-world and mathematical problems by graphing points in all four quadrants of the coordinate plane. Include use of coordinates and absolute value to find distances between points with the same first coordinate or the same second coordinate

6.EE · Expressions & Equations

  • 6.EE.A.1Write and evaluate numerical expressions involving whole-number exponents
  • 6.EE.A.2Write, read, and evaluate expressions in which letters stand for numbers
  • 6.EE.A.2aWrite expressions that record operations with numbers and with letters standing for numbers
  • 6.EE.A.2bIdentify parts of an expression using mathematical terms (sum, term, product, factor, quotient, coefficient); view one or more parts of an expression as a single entity
  • 6.EE.A.2cEvaluate expressions at specific values of their variables. Include expressions that arise from formulas used in real-world problems. Perform arithmetic operations, including those involving whole number exponents, in the conventional order when there are no parentheses to specify a particular order (Order of Operations)
  • 6.EE.A.3Apply the properties of operations to generate equivalent expressions
  • 6.EE.A.4Identify when two expressions are equivalent (e.g., when the two expressions name the same number regardless of which value is substituted into them)
  • 6.EE.B.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? Use substitution to determine whether a given number in a specified set makes an equation or inequality true
  • 6.EE.B.6Use variables to represent numbers and write expressions when solving a real-world or mathematical problem; understand that a variable can represent an unknown number, or, depending on the purpose at hand, any number in a specified set
  • 6.EE.B.7Solve real-world and mathematical problems by writing and solving equations of the form
  • 6.EE.B.8Write an inequality of the form
  • 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. Analyze the relationship between the dependent and independent variables using graphs and tables, and relate these to the equation

6.G · Geometry

  • 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; apply these techniques in the context of solving real-world and mathematical problems
  • 6.G.A.2Find volumes of right rectangular prisms with fractional edge lengths by using physical or virtual unit cubes. Develop (construct) and apply the formulas
  • 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. Apply these techniques in the context of solving real-world and mathematical problems
  • 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. Apply these techniques in the context of solving real-world and mathematical problems

6.SP · Statistics & Probability

  • 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
  • 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
  • 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
  • 6.SP.B.4Display numerical data in plots on a number line, including dot plots, histograms, and box plots
  • 6.SP.B.5Summarize numerical data sets in relation to their context, such as by:
  • 6.SP.B.5aReporting the number of observations
  • 6.SP.B.5bDescribing the nature of the attribute under investigation, including how it was measured and its units of measurement
  • 6.SP.B.5cDescribing any overall pattern and any striking deviations from the overall pattern with reference to the context in which the data were gathered and the quantitative measures of center (median and/or mean) and variability (interquartile range and/or mean absolute deviation) were given
  • 6.SP.B.5dRelating the choice of measures of center and variability to the shape of the data distribution and the context in which the data were gathered

Standards: Wisconsin Standards for Mathematics. Official source ↗

Wisconsin Forward Exam Grade 6 Math FAQ

What is the Forward Exam Grade 6 math test?

The Forward Exam (Wisconsin Forward Exam) is Wisconsin's Grade 6 mathematics assessment. The linked activities are independent Grade 6 practice. Their question count, timer, scoring, and item types may differ from the official assessment. Use the directions inside each activity.

Can I use a calculator?

Calculator rules depend on the grade, assessment, test segment, and approved accommodations. Follow the current assessment guidance and ask your school which rules apply. A tool available in independent practice does not establish permission on the official test.

How long is each practice test?

Read the timer and question count shown in the practice activity you open. These are practice settings, not a statement of the official assessment’s duration or scoring.

Is it free?

The linked general practice and topic resources are available separately from optional books. Check each activity’s directions and access requirements. The study guide and bundle are optional next steps.

Grade 6 Math in Other States

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Wisconsin Grade 6 Math: study questions

How should I choose a Grade 6 math study target?

Choose a current classroom target, find the matching learning reference, and use a lesson or available practice resource to check understanding. State documents control local wording and placement; shared reference codes are not a certified crosswalk.

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Are these activities official state assessments?

These are independently published learning resources. A practice score does not predict or replace an official state score. Use the directions in each activity and consult your school for official testing and accommodation rules.

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