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# West Virginia Standards Eighth Grade Mathematics resources

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Number and Operations: Through communication, representation, reasoning and proof, problem solving, and making connections within and beyond the field of mathematics, students will demonstrate understanding of numbers, ways of representing numbers, and relationships among numbers and number systems, demonstrate meanings of operations and how they relate to one another, and compute fluently and make reasonable estimates.

M.O.8.1.1. Students will analyze, describe and compare the characteristics of rational and irrational numbers.

Flip Charts Math Grade 8

Flip Charts The Real Numbers

Quiz, Flash Cards, Worksheet, Game & Study Guide Rational and Irrational Numbers

Quiz, Flash Cards, Worksheet, Game & Study Guide Rational numbers and operations

M.O.8.1.2. Students will analyze and solve application problems with

M.O.8.1.2.a. Powers,

Quiz, Flash Cards, Worksheet, Game & Study Guide Exponents, Factors and Fractions

M.O.8.1.2.b. Squares,

Flip Charts Math: Grade 7

Flip Charts The Pythagorean Theorem

Quiz, Flash Cards, Worksheet, Game & Study Guide Real numbers

Quiz, Flash Cards, Worksheet, Game & Study Guide The Pythagorean Theorem

M.O.8.1.2.c. Square roots,

Flip Charts Math Grade 8

Flip Charts Math: Grade 7

Flip Charts The Pythagorean Theorem

Flip Charts The Real Numbers

Quiz, Flash Cards, Worksheet, Game & Study Guide Rational and Irrational Numbers

Quiz, Flash Cards, Worksheet, Game & Study Guide Real numbers

Quiz, Flash Cards, Worksheet, Game & Study Guide The Pythagorean Theorem

M.O.8.1.2.d. Scientific notation, and

Flip Charts Exponents, Factors & Multiples

Flip Charts Integers & Exponents

Flip Charts Math Grade 8

Flip Charts Math: Grade 7

Quiz, Flash Cards, Worksheet, Game & Study Guide Exponents, Factors and Fractions

Quiz, Flash Cards, Worksheet, Game & Study Guide Polynomials and Exponents

M.O.8.1.3. Students will analyze and solve grade-appropriate real-world problems with

M.O.8.1.3.d. Percents, percent increase and decrease,

Flip Charts Applying Percents

Flip Charts Math Grade 8

Quiz, Flash Cards, Worksheet, Game & Study Guide Applications of percent

Quiz, Flash Cards, Worksheet, Game & Study Guide Applying Percents

M.O.8.1.3.f. Including, but not limited to, rates, tips, discounts, sales tax and interest and verify solutions using estimation techniques.

Flip Charts Applying Percents

Flip Charts Math Grade 8

Quiz, Flash Cards, Worksheet, Game & Study Guide Applications of percent

Algebra: Through communication, representation, reasoning and proof, problem solving, and making connections within and beyond the field of mathematics, students will demonstrate understanding of patterns, relations and functions, represent and analyze mathematical situations and structures using algebraic symbols, use mathematical models to represent and understand quantitative relationships, and analyze change in various contexts.

M.O.8.2.1. Students will use a variety of strategies to solve one and two-step linear equations and inequalities with rational solutions; defend the selection of the strategy; graph the solutions and justify the reasonableness of the solution.

Flip Charts Inequalities

Flip Charts Inequalities

Flip Charts Math Grade 8

Flip Charts Math: Grade 7

Flip Charts Multistep Equations

Flip Charts Multistep Equations

Flip Charts Numerical & Geometric Proportions

Flip Charts Ratios, Rates & Proportions

Quiz, Flash Cards, Worksheet, Game & Study Guide Algebraic Equations

Quiz, Flash Cards, Worksheet, Game & Study Guide Algebraic Inequalities

Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and Inequalities

Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities

Quiz, Flash Cards, Worksheet, Game & Study Guide Integer operations

Quiz, Flash Cards, Worksheet, Game & Study Guide Introduction to Algebra

Quiz, Flash Cards, Worksheet, Game & Study Guide Rational numbers and operations

Quiz, Flash Cards, Worksheet, Game & Study Guide Solving equations and inequalities

Quiz, Flash Cards, Worksheet, Game & Study Guide Solving linear equations

M.O.8.2.10. Students will identify a real life problem involving change over time; make a hypothesis as to the outcome; develop, justify, and implement a method to collect, organize, and analyze data; generalize the results to make a conclusion; compare the hypothesis and the results of the investigation; present the project using words, graphs, drawings, models, or tables.

Quiz, Flash Cards, Worksheet, Game & Study Guide Algebraic Equations

M.O.8.2.3. Students will add and subtract polynomials limited to two variables and positive exponents.

Quiz, Flash Cards, Worksheet, Game & Study Guide Polynomials and Exponents

M.O.8.2.4. Students will use systems of linear equations to analyze situations and solve problems.

Flip Charts Introduction to Functions

Flip Charts Math Grade 8

Flip Charts Systems of Equations

Flip Charts Systems of Equations

M.O.8.2.5. Students will apply inductive and deductive reasoning to write a rule from data in an input/output table, analyze the table and the rule to determine if a functional relationship exists.

Flip Charts Math: Grade 7

Flip Charts Slope

Quiz, Flash Cards, Worksheet, Game & Study Guide Functions

Quiz, Flash Cards, Worksheet, Game & Study Guide Introduction to Functions

M.O.8.2.6. Students will graph linear equations and inequalities within the Cartesian coordinate plane by generating a table of values (with and without technology).

Quiz, Flash Cards, Worksheet, Game & Study Guide Introduction to Functions

Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations

Quiz, Flash Cards, Worksheet, Game & Study Guide Linear relationships

M.O.8.2.8. Students will determine the slope of a line using a variety of methods including

M.O.8.2.8.a. Graphing

Quiz, Flash Cards, Worksheet, Game & Study Guide Introduction to Functions

Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations

M.O.8.2.8.b. Change in y over change in x

Flip Charts Math: Grade 7

Flip Charts Slope

Quiz, Flash Cards, Worksheet, Game & Study Guide Introduction to Functions

Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations

M.O.8.2.9. Students will represent and solve real-world grade-appropriate problems using multiple strategies and justify solutions.

Quiz, Flash Cards, Worksheet, Game & Study Guide Algebraic Equations

Geometry: Through communication, representation, reasoning and proof, problem solving, and making connections within and beyond the field of mathematics, students will: analyze characteristics and properties of two- and three- dimensional geometric shapes and develop mathematical arguments about geometric relationships, specify locations and describe spatial relationships using coordinate geometry and other representational systems, apply transformation and use symmetry to analyze mathematical situations, and solve problems using visualization, spatial reasoning, and geometric modeling.

M.O.8.3.1. Students will justify the relationships among corresponding, alternate interior, alternate exterior and vertical angles when parallel lines are cut by a transversal using models, pencil/paper, graphing calculator, and technology.

Flip Charts Math Grade 8

Flip Charts Plane Geometry

M.O.8.3.2. Students will classify polyhedrons according to the number and shape of faces; use inductive reasoning to determine the relationship between vertices, faces and edges (edges + 2 = faces + vertices).

Flip Charts Finding Volume

Flip Charts Math: Grade 7

Quiz, Flash Cards, Worksheet, Game & Study Guide Finding Volume

Quiz, Flash Cards, Worksheet, Game & Study Guide Three dimensional geometry/Measurement

M.O.8.3.4. Students will create geometric patterns including tiling, art design, tessellations and scaling using transformations (rotations, reflections, translations) and predict results of combining, subdividing, and changing shapes of plane figures and solids.

Quiz, Flash Cards, Worksheet, Game & Study Guide Patterns in geometry

M.O.8.3.6. Students will make and test a conjecture concerning

M.O.8.3.6.a. Regular polygons,

Flip Charts Math Grade 8

Flip Charts Plane Geometry

Quiz, Flash Cards, Worksheet, Game & Study Guide Plane figures

Quiz, Flash Cards, Worksheet, Game & Study Guide Plane Figures: Lines and Angles

M.O.8.3.6.d. Justify the results.

Flip Charts Math Grade 8

Flip Charts Plane Geometry

Quiz, Flash Cards, Worksheet, Game & Study Guide Plane figures

Quiz, Flash Cards, Worksheet, Game & Study Guide Plane Figures: Lines and Angles

Measurement: Through communication, representation, reasoning and proof, problem solving, and making connections within and beyond the field of mathematics, students will demonstrate understanding of measurable attributes of objects and the units, systems, and processes of measurements, and apply appropriate techniques, tools, and formulas to determine measurements.

M.O.8.4.1. Students will select and apply an appropriate method to solve; justify the method and the reasonableness of the solution of problems involving volume of

M.O.8.4.1.a. Prisms

Flip Charts Finding Volume

Flip Charts Math: Grade 7

Quiz, Flash Cards, Worksheet, Game & Study Guide Finding Volume

Quiz, Flash Cards, Worksheet, Game & Study Guide Three dimensional geometry/Measurement

M.O.8.4.1.b. Cylinders

Flip Charts Finding Volume

Flip Charts Math: Grade 7

Quiz, Flash Cards, Worksheet, Game & Study Guide Finding Volume

Quiz, Flash Cards, Worksheet, Game & Study Guide Three dimensional geometry/Measurement

M.O.8.4.1.c. Cones

Flip Charts Finding Volume

Flip Charts Math: Grade 7

Quiz, Flash Cards, Worksheet, Game & Study Guide Finding Volume

Quiz, Flash Cards, Worksheet, Game & Study Guide Three dimensional geometry/Measurement

M.O.8.4.1.d. Pyramids

Flip Charts Finding Volume

Flip Charts Math: Grade 7

Quiz, Flash Cards, Worksheet, Game & Study Guide Finding Volume

Quiz, Flash Cards, Worksheet, Game & Study Guide Three dimensional geometry/Measurement

M.O.8.4.1.e. Spheres

Flip Charts Finding Volume

Flip Charts Math: Grade 7

Quiz, Flash Cards, Worksheet, Game & Study Guide Finding Volume

Quiz, Flash Cards, Worksheet, Game & Study Guide Three dimensional geometry/Measurement

M.O.8.4.3. Students will solve right triangle problems where the existence of triangles is not obvious using the Pythagorean Theorem and indirect measurement in real-world problem solving situations.

Flip Charts Math Grade 8

Flip Charts Math: Grade 7

Flip Charts Numerical & Geometric Proportions

Flip Charts Ratios, Rates & Proportions

Flip Charts The Pythagorean Theorem

Quiz, Flash Cards, Worksheet, Game & Study Guide Ratios, proportions and percents

Quiz, Flash Cards, Worksheet, Game & Study Guide Similarity and scale

Quiz, Flash Cards, Worksheet, Game & Study Guide The Pythagorean Theorem

Data Analysis and Probability: Through communication, representation, reasoning and proof, problem solving, and making connections within and beyond the field of mathematics, students will: formulate questions that can be addressed with data and collect, organize, and display relevant data to answer them, select and use appropriate statistical methods to analyze data, develop and evaluate inferences and predictions that are based on models, and apply and demonstrate an understanding of basic concepts of probability.

M.O.8.5.1. Students will determine and explain whether a real-world situation involves permutations or combinations, then use appropriate technology to solve the problem.

Flip Charts Introduction to Probability

Flip Charts Math: Grade 7

Quiz, Flash Cards, Worksheet, Game & Study Guide Theoretical probability and counting

Quiz, Flash Cards, Worksheet, Game & Study Guide Using Probability

M.O.8.5.2. Students will compare the experimental and theoretical probability of a given situation (including compound probability of a dependent and independent event).

Flip Charts Introduction to Probability

Flip Charts Math: Grade 7

Quiz, Flash Cards, Worksheet, Game & Study Guide Introduction to Probability

M.O.8.5.3. Students will create and extrapolate information from multiple-bar graphs, box and whisker plots, and other data displays using appropriate technology.

Flip Charts Math Grade 8

Flip Charts Organizing & Displaying Data

Quiz, Flash Cards, Worksheet, Game & Study Guide Using graphs to analyze data

M.O.8.5.4. Students will analyze problem situations, games of chance, and consumer applications using random and non-random samplings to determine probability, make predictions, and identify sources of bias.

Flip Charts Introduction to Probability

Flip Charts Math: Grade 7

Quiz, Flash Cards, Worksheet, Game & Study Guide Experimental Probability

Quiz, Flash Cards, Worksheet, Game & Study Guide Introduction to Probability

Quiz, Flash Cards, Worksheet, Game & Study Guide Theoretical probability and counting

Quiz, Flash Cards, Worksheet, Game & Study Guide Using graphs to analyze data