# 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 System Rational and Irrational Numbers, Decimal Expansion, Rational and Irrational Numbers Approximations, Locating Rational and Irrational Numbers on Number Line Expressions and Equations Square 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 Equations Functions Proportional 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 Functions Geometry Rotations, Reflections, Translations, Dilations,Transformations, Congruent and Similar Figures, Pythagorean Theorem, Volume Formulas (cones, cylinders, and sphere) Statistics and Probability Bivariate 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 System Laws of Exponents, Rational Exponents, Radicals Quantities Quantitative Reasoning, Problem Solving with Units Seeing Structure in Expressions Interpret the Structure of Expressions, Write and Rewrite Expressions Arithmetic with Polynomials and Rational Expressions Factor and Operate with Polynomials Creating Equations and Inequalities Write Equations and Inequalities from Functions, Represent Constraints and Viable and Nonviable Options, Rearrange Formulas to Highlight Quantity of Interest Reasoning with Equations and Inequalities Construct Viable Arguments, Solve One Variable Equations and Inequalities, Solve Systems of Linear Equations, Represent and Solve Equations and Inequalities Graphically Interpreting Functions Function 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 Functions Explicit Expression, Recursive Process, Calculation from Context, Write Functions to Describe Relationships Between Two Quantities, Write Arithmetic and Geometric Sequences, Build New Functions from Existing Functions Linear, Quadratic and Exponential Models Construct, Compare, and Solve Problems with Linear and Exponential Models, Interpret Parameters in Linear and Exponential Functions Congruence Transformations in the Plane Expressing Geometric Properties with Equations Geometric 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 Dimension Problem Solve with Volume (cylinders, pyramids, cones, and spheres), Dissection Arguments, Cavalieri’s Principle Interpreting 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 |