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




© 2018. Roselle School District 12. All Rights Reserved.