# Math

## 8th Grade Math

 At Corvian Community School, we strive to develop our students into independent thinkers and problem solvers. We feel strongly about the use of hands-on, inquiry-based learning, integrated activities, and differentiated instruction. Sometimes our students will be engaged in integrated units of study where mathematical skills and concepts are couched into a scientific context. In other instances, we will teach math and science separately, but often with a project-based approach. In 6th, 7th, and 8th grade we will align the curriculum and capitalize on the natural math/science connections that can occur at each level of study.
 8th Grade 8th Grade Accelerated The Number SystemRational and Irrational Numbers, Decimal Expansion, Rational and Irrational Numbers Approximations, Locating Rational and Irrational Numbers on Number LineExpressions and EquationsSquare and Cube Roots, Exponents and Laws of Exponents, Scientific Notation, Operations with Numbers in Scientific Notation, Graph Proportional Relationships, Solve Multi-Step Linear Equations with Variables on Both Sides, Analyze and Solve Systems of Linear EquationsFunctionsProportional Relationships, Lines and Linear Equations, Slope, Compare Functions (algebraically, graphically, numerically in tables or by verbal descriptions), Interpret Slope Intercept Form, Rate of Change with Linear Equations, Linear vs. Nonlinear FunctionsGeometryRotations, Reflections, Translations, Dilations,Transformations, Congruent and Similar Figures, Pythagorean Theorem, Volume Formulas (cones, cylinders, and sphere)Statistics and ProbabilityBivariate Data, Scatter Plots (clusters, outliers, linear associations and nonlinear associations), Relative Frequencies In Two-way Tables, Construct and Interpret a Two-way Table The Real Number SystemLaws of Exponents, Rational Exponents, RadicalsQuantitiesQuantitative Reasoning, Problem Solving with UnitsSeeing Structure in ExpressionsInterpret the Structure of Expressions, Write and Rewrite ExpressionsArithmetic with Polynomials and Rational ExpressionsFactor and Operate with PolynomialsCreating Equations and InequalitiesWrite Equations and Inequalities from Functions, Represent Constraints and Viable and Nonviable Options, Rearrange Formulas to Highlight Quantity of InterestReasoning with Equations and InequalitiesConstruct Viable Arguments, Solve One Variable Equations and Inequalities, Solve Systems of Linear Equations, Represent and Solve Equations and Inequalities GraphicallyInterpreting FunctionsFunction Notation, Evaluate and Interpret Linear and Exponential Functions, Sequences, Interpret and Construct Tables and Graphs, Write Functions Defined by Expressions, Compare Functions (algebraically, graphically, numerically in tables, by verbal descriptions)Build FunctionsExplicit Expression, Recursive Process, Calculation from Context, Write Functions to Describe Relationships Between Two Quantities, Write Arithmetic and Geometric Sequences, Build New Functions from Existing FunctionsLinear, Quadratic and Exponential ModelsConstruct, Compare, and Solve Problems with Linear and Exponential Models, Interpret Parameters in Linear and Exponential Functions CongruenceTransformations in the PlaneExpressing Geometric Properties with EquationsGeometric Theorems, Problem Solving with Lines, Segments, and Circles (lengths, midpoints, parallelism, perpendicularity), Distance Formula (perimeter of polygons, area of triangles and rectangles)Geometric Measurement and DimensionProblem Solve with Volume (cylinders, pyramids, cones, and spheres), Dissection Arguments, Cavalieri’s PrincipleInterpreting Categorical and Quantitative Data Represent Data on the Real Number Line (dot plots, histograms, box plots), Compare Data Distribution of Two or More Data Sets (measures of center, spread, shape, outliers), Categorical and Quantitative Variables, Two-Way Frequency Tables, Relative Frequencies (joint, marginal, conditional), Scatter Plots, Interpret Linear Models

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