World HolidaysChristmas Day Perimeter and area Eighth Grade Math Ratios, proportions and percents Eighth Grade Math Introduction to Probability Seventh Grade Math The Pythagorean Theorem Seventh Grade Math Sequences Eighth Grade Math Exponents, Factors and Fractions Seventh Grade Math
WV.M.S.8.1. 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.
M.O.8.1.2. Students will analyze and solve application problems with
M.O.8.1.2.c. Square roots,
M.O.8.1.2.d. Scientific notation, and
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,
M.O.8.1.3.f. Including, but not limited to, rates, tips, discounts, sales tax and interest and verify solutions using estimation techniques.
WV.M.S.8.2. 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.
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.
M.O.8.2.3. Students will add and subtract polynomials limited to two variables and positive exponents.
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.
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).
M.O.8.2.8. Students will determine the slope of a line using a variety of methods including
M.O.8.2.8.b. Change in y over change in x
M.O.8.2.9. Students will represent and solve real-world grade-appropriate problems using multiple strategies and justify solutions.
WV.M.S.8.3. 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.8.3.2. 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).
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.
M.O.8.3.6. Students will make and test a conjecture concerning
M.O.8.3.6.a. Regular polygons,
M.O.8.3.6.d. Justify the results.
WV.M.S.8.4. 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.8.4.3. 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.
WV.M.S.8.5. 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.
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).
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.
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.
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