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Montana Math Standards - 8th Grade
MathScore aligns to the Montana 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 Montana Math Standards at other levels.
Standard 1: Problem Solving and Reasoning
1. formulate and solve multi-step and nonroutine problems using a variety of strategies. Generalize methods to new problem situations. (Fraction Word Problems , Fraction Word Problems 2 , Integers In Word Problems , Train Problems , Mixture Word Problems , Work Word Problems , Integer Word Problems )2. select and apply appropriate estimation strategies throughout the problem-solving process. (Decimal Rounding to .01 , Money Addition , Money Subtraction , Estimated Multiplication , Estimated Division , Estimated Multiply Divide Word Problems , Estimating Square Roots )
3. interpret and communicate mathematical ideas and logical arguments using correct mathematical terms and notations. (Algebraic Terms )
4. recognize and investigate the relevance and usefulness of mathematics through applications, both in and out of school. (Making Change , Unit Cost , Purchases At Stores , Restaurant Bills , Commissions , Simple Interest , Compound Interest , Continuous Compound Interest )
5. select and use appropriate technology to enhance mathematical understanding. Appropriate technology may include, but is not limited to, paper and pencil, calculator, computer, and data collection devices.
Standard 2: Numbers and Operations
1. use the four basic operations with wholenumbers, fractions, decimals, and integers. (Long Addition , Long Subtraction , Long Multiplication , Long Division , Long Division with Remainders , Small Decimal Division , Multiply By Multiples Of 10 , Basic Fraction Addition , Fraction Addition , Basic Fraction Subtraction , Fraction Subtraction , Fraction Multiplication , Fraction Division , Decimal Addition , Decimal Subtraction , Decimal Multiplication , Decimal Division , Integer Addition , Integer Subtraction , Positive Integer Subtraction , Integer Multiplication , Integer Division , Integer Equivalence )2. use mental mathematics and number sensein using order of operations, and order relations for whole numbers, fractions, decimals, and integers. (Order Numbers , Order Large Numbers , Order Decimals , Compare Mixed Values , Compare Mixed Values 2 , Positive Number Line , Number Line , Order Of Operations , Fraction Comparison , Compare Decimals , Compare Integers , Basic Fraction Comparison )
3. use the relationships and applications of ratio, proportion, percent, and scientific notation. (Scientific Notation 2 , Percentages , Percentage Pictures , Percentage Change , Purchases At Stores , Restaurant Bills , Commissions , Percent of Quantity , Proportions 1 , Proportions 2 , Simple Interest , Compound Interest , Distance, Rate, and Time , Ratios , Scientific Notation )
4. develop and apply number theory concepts (e.g., primes, factors and multiples) in real-world and mathematical problem situations. (Prime Factoring , Greatest Common Factor , Factoring , Least Common Multiple )
Standard 3: Algebraic Concepts
1. understand the concepts of variable, expression and equation. (Algebraic Terms )2. represent situations and number patterns using tables, graphs, verbal rules, equations, and models. (Phrases to Algebraic Expressions , Algebraic Word Problems , Algebraic Sentences 2 , Algebraic Sentences , Function Tables , Function Tables 2 )
3. recognize and use the general properties of operations (e.g., the distributive property). (Associative Property 1 , Associative Property 2 , Commutative Property 1 , Commutative Property 2 , Distributive Property , Distributive Property 2 , Basic Distributive Property )
4. solve linear equations using concrete, numerical and algebraic methods. (Linear Equations , Single Variable Equations , Single Variable Equations 2 , Single Variable Equations 3 )
5. investigate inequalities and nonlinear relationships informally. (Nonlinear Functions , Single Variable Inequalities , Number Line Inequalities )
Standard 4: Geometry
1. identify, describe, construct, and compare plane and solid geometric figures. (Triangle Types , Quadrilateral Types , Polygon Names )2. understand and apply geometric properties and relationships (e.g., the Pythagorean Theorem). (Circle Measurements , Triangle Angles , Quadrilateral Angles , Triangle Area , Triangle Area 2 , Parallelogram Area , Perimeter , Rectangular Solids , Rectangular Solids 2 , Compare Rectangle Area and Perimeter , Circle Area , Circle Circumference , Triangular Prisms , Cylinders , Identifying Angles , Pythagorean Theorem , Irregular Shape Areas , Area And Volume Proportions , Perimeter and Area Word Problems , Polygon Angles , Angle Measurements , Trapezoids , Angle Measurements 2 )
3. represent geometric figures on a coordinate grid. (Ordered Pairs , Line Segments )
4. explore properties and transformations of geometric figures. (Translations and Reflections )
5. use geometry as a means of describing the physical world.
Standard 5: Measurement
1. estimate, make, and use measurements to describe, compare, and/or contrast objects in real-world situations.2. select and use appropriate units and tools to measure to a level of accuracy required in a particular setting.
3. apply the concepts of perimeter, area, volume and capacity, weight and mass, angle measure, time, and temperature. (Time Intervals , Perimeter and Area Word Problems )
4. demonstrate understanding of the structure and use of systems of measurement, including English and metric. (Distance Conversion , Time Conversion , Volume Conversion , Weight Conversion , Temperature Conversion , Area and Volume Conversions )
5. use the concepts of rates and other derived and indirect measurements. (Unit Cost , Distance, Rate, and Time , Train Problems )
6. demonstrate relationships between formulas and procedures for determining area and volume. (Triangle Area , Parallelogram Area , Rectangular Solids , Circle Area , Triangular Prisms , Cylinders , Area And Volume Proportions , Trapezoids )
Standard 6: Data Analysis, Probability, and Statistics
1. systematically collect, organize, and describe data. (Requires outside materials )2. construct, read, and interpret tables, charts, and graphs. (Stem And Leaf Plots , Tally and Pictographs , Bar Graphs , Line Graphs )
3. draw inferences, construct, and evaluate arguments based on data analysis and measures of central tendency. (Mean, Median, Mode , Stem And Leaf Plots )
4. construct sample spaces and determine the theoretical and experimental probabilities of events. (Probability , Probability 2 , Object Picking Probability )
5. make predictions based on experimental results or probabilities. (Batting Averages )
Standard 7: Patterns, Relations, and Functions
1. describe, extend, analyze, and create a variety of patterns and functions. (Patterns: Numbers , Function Tables , Function Tables 2 )2. describe and represent relationships with tables, graphs, and rules. (Determining Slope , Graphs to Linear Equations , Graphs to Linear Equations 2 , Graphs to Linear Inequalities , Applied Linear Equations 1 , Applied Linear Equations 2 , Nonlinear Functions , Number Line Inequalities )
3. analyze functional relationships to explain how a change in one quantity results in a change in another. (Independent and Dependent Variables )
4. use patterns and functions to represent and solve problems. (Triangle Area 2 , Rectangular Solids 2 , Algebraic Word Problems , Mixture Word Problems , Work Word Problems , Integer Word Problems )
5. describe functions using graphical, numerical, physical, algebraic, and verbal models or representations.
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