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Minnesota Math Standards - 8th Grade
MathScore aligns to the Minnesota Math Standards for 8th 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. (Solving For Angles , Algebraic Word Problems , 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 rational and irrational numbers, represented in a variety of ways, to quantify information and to solve real-world and mathematical problems.
1. Represent and compare rational and irrational numbers symbolically and on a number line.
2. Use rational and irrational numbers to solve real-world and mathematical problems. (Circle Area , Circle Circumference )
3. Use scientific notation with positive and negative powers of 10, with appropriate treatment of significant digits, to solve real-world and mathematical problems. (Scientific Notation 2 , Scientific Notation )
4. Classify numbers as rational or irrational.
B. Computation and Operation
Compute fluently and make reasonable estimates with rational and irrational numbers in real-world and mathematical problems. Understand the meanings of the basic operations, including the use of integer exponents and nth roots, and how the operations relate to one another. Appropriately use calculators and other technologies to solve problems.
1. Use calculator approximations of irrational and rational numbers in multi-step real-world and mathematical problems.
2. Find integer approximations of square roots of positive integers without a calculator. (Estimating Square Roots )
3. Multiply and divide expressions involving exponents with a common base. (Exponents Of Fractional Bases , Negative Exponents Of Fractional Bases , Multiplying and Dividing Exponent Expressions , Exponent Rules For Fractions )
4. Use the inverse relationship between nth roots and nth powers of rational numbers to solve real-world and mathematical problems. (Roots Of Exponential Expressions , Simplifying Radical Expressions )
5. Apply the correct order of operations and grouping symbols when using calculators and other technologies. (Using Parentheses , Order Of Operations )
6. Know, use and translate calculator notational conventions to mathematical notation.
7. 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 FunctionsUnderstand and describe progressions. Use graphs and tables to solve real-world and mathematical problems.
1. Recognize when a list of numbers forms an arithmetic or geometric progression and be able to determine subsequent terms in the progression. (Patterns: Numbers )
2. Represent quantitative relationships graphically and use the graphs to solve real-world and mathematical problems.
3. Generate a table of values from a formula and graph the resulting ordered pairs on a grid.
B. Algebra (Algebraic Thinking)
Use algebraic operations to generate equivalent expressions, and use proportional reasoning to solve real-world and mathematical problems. Demonstrate the ability to manipulate an equation by applying arithmetic operations to both sides to maintain equivalence.
1. Multiply and divide expressions of the form axn. (Simplifying Algebraic Expressions 2 , Roots Of Exponential Expressions )
2. Use simple formulas with more than one variable to solve real-world and mathematical problems. (Simple Interest , Compound Interest , Continuous Compound Interest , Distance, Rate, and Time )
3. Use proportions and percents with one unknown quantity to solve real-world and mathematical problems. (Percent of Quantity , Proportions 1 , Proportions 2 )
4. Apply the correct order of operations including addition, subtraction, multiplication, division, grouping symbols and powers, to simplify and evaluate algebraic expressions. (Variable Substitution , Simplifying Algebraic Expressions , Variable Substitution 2 )
Data Analysis, Statistics and Probability
A. Data and StatisticsRepresent data and use various measures associated with data to draw conclusions and identify trends.
1. Construct and analyze histograms, circle graphs, stem-and-leaf plots and box-and-whisker plots. (Stem And Leaf Plots )
2. Compute the quartiles of a data set. (Stem And Leaf Plots )
B. Probability
Calculate and express probabilities numerically and apply probability concepts to solve real-world and mathematical problems.
1. Understand that if p is the probability of an event occurring, then 1 - p is the probability of the event not occurring. (Probability , Probability 2 )
2. Convert between odds and probabilities. (Probability , Probability 2 )
3. Use a variety of experiments to explore the relationship between experimental and theoretical probabilities and the effect of sample size on this relationship.
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. Use models and visualization to understand and create various two-dimensional diagrams of three-dimensional shapes.
2. Predict the position and orientation of simple three-dimensional geometric shapes under transformations such as reflections, rotations and translations.
B. Geometry
Use basic geometric principles and proportional reasoning to solve real-world and mathematical problems.
1. Apply the relationship between changes in one or more linear distances in a planar figure and the change in area. (Area And Volume Proportions )
2. Use the concept of similarity in simple two-dimensional figures to solve real-world and mathematical problems involving proportionality. (Proportions 2 )
3. Know how to find the volumes of cubes, prisms, spheres and cylinders. (Rectangular Solids , Rectangular Solids 2 , Triangular Prisms , Cylinders )
4. Know how to find the surface areas of cubes, prisms and cylinders. (Rectangular Solids , Rectangular Solids 2 , Cylinders )
5. Calculate perimeter and area of two-dimensional figures obtained by putting together triangles, parallelograms, and sectors of circles to solve real-world and mathematical problems. (Perimeter and Area of Composite Figures )
C. Measurement
Make calculations of time, length, area and volume within and between standard measuring systems using good judgment in choice of units.
1. Find approximate equivalent measures of length, temperature and weight for common units in U.S. customary and metric measuring systems. (Distance Conversion , Weight Conversion , Temperature Conversion )
2. Use arithmetic to solve simple real-world and mathematical problems involving mixed units such as minutes and hours in elapsed time, degrees and minutes in latitude and longitude and feet and inches in distance. (Time Intervals )
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