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Montana Standards - Grade 8 Math
The state of Montana has prescribed that students of Grade 8 Math master certain topics. The topics are listed below. Each of these topics/strands are covered in TenMarks, helping students refresh their knowledge, as well as learn as they practice - resulting in mastery.
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Content Standard 1: Students engage in the mathematical processes of problem solving and reasoning, estimation, communication, connections and applications, and using appropriate technology.
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1.1 formulate and solve multi-step and nonroutine problems using a variety of strategies. Generalize methods to new problem situations.
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1.2 select and apply appropriate estimation strategies throughout the problem-solving process.
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1.3 interpret and communicate mathematical ideas and logical arguments using correct mathematical terms and notations.
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1.4 recognize and investigate the relevance and usefulness of mathematics through applications, both in and out of school.
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1.5 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.
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Content Standard 2: Students demonstrate understanding of and an ability to use numbers and operations.
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2.1 use the four basic operations with whole numbers, fractions, decimals, and integers.
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2.2 use mental mathematics and number sense in using order of operations, and order relations for whole numbers, fractions, decimals, and integers.
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2.3 use the relationships and applications of ratio, proportion, percent, and scientific notation.
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2.4 develop and apply number theory concepts (e.g., primes, factors and multiples) in real-world and mathematical problem situations.
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Content Standard 3: Students use algebraic concepts, processes, and language to model and solve a variety of real-world and mathematical problems.
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3.1 understand the concepts of variable, expression and equation.
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3.2 represent situations and number patterns using tables, graphs, verbal rules, equations, and models.
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3.3 recognize and use the general properties of operations (e.g., the distributive property).
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3.4 solve linear equations using concrete, numerical and algebraic methods.
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3.5 investigate inequalities and nonlinear relationships informally.
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Content Standard 4: Students demonstrate understanding of shape and an ability to use geometry.
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4.1 identify, describe, construct, and compare plane and solid geometric figures.
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4.2 understand and apply geometric properties and relationships (e.g., the Pythagorean Theorem).
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4.3 represent geometric figures on a coordinate grid.
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4.4 explore properties and transformations of geometric figures.
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4.5 use geometry as a means of describing the physical world.
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Content Standard 5: Students demonstrate understanding of measurable attributes and an ability to use measurement processes.
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5.1 estimate, make, and use measurements to describe, compare, and/or contrast objects in real-world situations.
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5.2 select and use appropriate units and tools to measure to a level of accuracy required in a particular setting.
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5.3 apply the concepts of perimeter, area, volume and capacity, weight and mass, angle measure, time, and temperature.
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5.4 demonstrate understanding of the structure and use of systems of measurement, including English and metric.
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5.5 use the concepts of rates and other derived and indirect measurements.
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5.6 demonstrate relationships between formulas and procedures for determining area and volume.
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Content Standard 6: The students demonstrate understanding of and an ability to use data analysis, probability, and statistics.
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6.1 systematically collect, organize, and describe data.
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6.2 construct, read, and interpret tables, charts, and graphs.
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6.3 draw inferences, construct, and evaluate arguments based on data analysis and measures of central tendency.
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6.4 construct sample spaces and determine the theoretical and experimental probabilities of events.
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6.5 make predictions based on experimental results or probabilities.
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Content Standard 7: Students demonstrate understanding of and an ability to use patterns, relations and functions.
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7.1 describe, extend, analyze, and create a variety of patterns and functions.
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7.2 describe and represent relationships with tables, graphs, and rules.
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7.3 analyze functional relationships to explain how a change in one quantity results in a change in another.
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7.4 use patterns and functions to represent and solve problems.
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7.5 describe functions using graphical, numerical, physical, algebraic, and verbal models or representations.
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Smartest Way to Practice Math
TenMarks is the smartest way to practice and learn math online. Experience our interactive worksheets that engage students.
Personalized program, mapped to state standards
Interactive worksheets with hints and video lessons
Rewards and certificates motivate students
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