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Minnesota Math Standards - 6th Grade
MathScore aligns to the Minnesota Math Standards for 6th Grade. The standards appear below along with the MathScore topics that match. If you click on a topic name, you will see sample problems at varying degrees of difficulty that MathScore generated. When students use our program, the difficulty of the problems will automatically adapt based on individual performance, resulting in not only true differentiated instruction, but a challenging game-like experience.
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View the Minnesota Math Standards at other levels.
Mathematical Reasoning
Apply skills of mathematical representation, communication and reasoning throughout the remaining four content strands.
1. Assess the reasonableness of a solution by comparing the solution to appropriate graphical or numerical estimates or by recognizing the feasibility of a solution in a given context.
2. Appropriately use examples and counterexamples to make and test conjectures, justify solutions and explain results.
3. Translate a problem described verbally or by tables, diagrams or graphs, into suitable mathematical language, solve the problem mathematically and interpret the result in the original context. (Arithmetic Word Problems , Making Change , Unit Cost , Fraction Word Problems , Fraction Word Problems 2 , Function Tables , Function Tables 2 )
4. Support mathematical results by explaining why the steps in a solution are valid and why a particular solution method is appropriate.
5. Determine whether or not relevant information is missing from a problem.
6. Use accurately common logical words and phrases such as "and," "or," "if ... then ...," "unique," "only if."
Number Sense, Computation and Operations
A. Number SenseUse positive and negative rational numbers, represented in a variety of ways, to quantify information and to solve real-world and mathematical problems.
1. Order and compare integers, fractions, decimals and mixed numbers with >, <, and =. Locate and compare positive and negative rational numbers on a number line. (Order Decimals , Compare Mixed Values , Compare Mixed Values 2 , Positive Number Line , Number Line , Fraction Comparison , Compare Decimals )
2. Use rounding and estimation with integers, decimals and fractions to solve real-world and mathematical problems. (Decimal Rounding to .01 , Decimal Rounding , Money Addition , Money Subtraction )
B. Computation and Operation
Compute fluently and make reasonable estimates with positive and negative rational numbers in real-world and mathematical problems. Understand the meanings of arithmetic operations and factorization, and how they relate to one another. Appropriately use calculators and other technologies to solve problems.
1. Determine the prime factorization of positive integers. (Prime Factoring )
2. Determine the least common multiple and the greatest common divisor of whole numbers. (Greatest Common Factor , Least Common Multiple )
3. Use addition, subtraction, multiplication and division of multi-digit whole and decimal numbers to solve multi-step real-world and mathematical problems. (Arithmetic Word Problems , Making Change , Unit Cost , Decimal Addition , Decimal Subtraction , Decimal Multiplication , Decimal Division )
4. Multiply and divide, without a calculator, numbers containing up to three digits by numbers containing up to two digits, such as 347 / 83 or 4.91 x 9.2. (Long Multiplication , Long Division )
5. Find quotients with remainders and be able to express the remainder in various ways depending on the context of the problem. (Division with Remainders , Long Division with Remainders , Small Decimal Division )
6. Use the relationship between moving the decimal point and the operations of multiplication or division by powers of 10 to simplify calculations. (Multiply By Multiples Of 10 )
7. Add, subtract, multiply and divide common fractions and mixed numbers as well as fractions where the common denominator equals one of the denominators. (Basic Fraction Addition , Fraction Addition , Basic Fraction Subtraction , Fraction Subtraction , Fraction Multiplication , Fraction Division )
8. Find, represent and use percentages in real-world and mathematical problems, including percentages greater than 100% and less than 1%. (Percentage Change , Purchases At Stores , Restaurant Bills , Commissions )
9. Apply the correct order of operations and grouping symbols when using calculators and other technologies. (Using Parentheses , Order Of Operations )
10. Know, use and translate calculator notational conventions to mathematical notation.
11. Understand that use of a calculator requires appropriate mathematical reasoning and does not replace the need for mental computation.
Patterns, Functions and Algebra
A. Patterns and FunctionsDemonstrate understanding of the rectangular coordinate system.
1. Demonstrate understanding of the four quadrants in a rectangular coordinate system by writing and plotting ordered pairs. (Ordered Pairs )
B. Algebra (Algebraic Thinking)
Apply arithmetic operations in the correct order to simplify and evaluate numeric expressions in real-world and mathematical problems.
1. Apply the correct order of operations including addition, subtraction, multiplication, division and grouping symbols to simplify and evaluate numeric expressions. (Using Parentheses , Order Of Operations )
Data Analysis, Statistics and Probability
A. Data and StatisticsRepresent data and use various measures associated with data to draw conclusions and identify trends. (Line Graphs )
1. Collect, organize and represent categorical and numerical data with tables and bar graphs.
2. Understand the differences and appropriate use of mean, median and mode.
3. Find the median and possible outliers.
B. Probability
Calculate and express probabilities numerically, and apply probability concepts to solve real-world and mathematical problems.
1. Generate and display data in graphs and tables to estimate experimental probabilities.
2. Represent all possible outcomes for a probability problem with tables, grids and tree diagrams to calculate probabilities and draw conclusions from the results.
Spatial Sense, Geometry and Measurement
A. Spatial SenseRecognize the relationship between different representations of two- and three-dimensional shapes. Understand the effect of various transformations.
1. Create models of three-dimensional geometric shapes from two-dimensional representations.
2. Predict the position and orientation of simple geometric shapes under transformations such as reflections, rotations and translations.
3. Identify symmetries in three-dimensional shapes.
B. Geometry
Identify a variety of simple geometric figures by name, calculate various quantities associated with them and use appropriate tools to draw them.
1. Use facts about angles including the relationship between complementary angles, supplementary angles and the angles within triangles to solve real-world and mathematical problems. (Triangle Angles 2 , Solving For Angles , Angle Measurements )
2. Classify triangles as equilateral, isosceles or scalene, and right, acute or obtuse. (Triangle Types )
3. Find the area and circumference of a circle given the radius or diameter using common approximations of pi where appropriate. (Circle Area , Circle Circumference )
4. Measure, identify, and draw perpendicular and parallel lines, angles and rectangles by using appropriate tools such as straightedge, ruler, compass, protractor or software.
C. Measurement
Make calculations of time, length, area and volume within standard measuring systems, using good judgment in choice of units.
1. Solve problems requiring conversion of units within the U.S. customary system, and within the metric system. (Distance Conversion , Time Conversion , Volume Conversion , Weight Conversion , Temperature Conversion , Area and Volume Conversions )
2. Express measures of time and distance as fractions, mixed numbers and decimals to solve real-world and mathematical problems.
3. Find the area and perimeter of rectangles, squares, triangles and parallelograms by measuring, using a grid or using a formula. (Triangle Area , Parallelogram Area )
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