Course/Grade Levels Units

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  • Course Code
    Content Area
    Math 8 is designed to provide a foundation for the development of skills necessary for Algebra I. Instructional time will focus on five critical areas: (1) formulating and reasoning about equations, including modeling an association in bivariate data with a linear equation, inequalities and solving linear equations and systems of linear equations; (2) grasping the concept of a function and using functions to describe quantitative relationships; (3) analyzing two- and three-dimensional space and figures using distance, angle, similarity, and congruence, and understanding and applying the Pythagorean Theorem; (4) extending the number system to include irrational numbers and (5) develop an understanding of exponential properties to simplify expressions and apply them to scientific notation.

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Unit Description
1Equations and Inequalities
Students will solve multi-step linear equations and inequalities.  They will identify the solution set for an inequality and if an equation has one solution, infinitely-many solutions or no solution.
10Exponents and Scientific Notation
Students will use properties of integer exponents to simplify numerical and algebraic expressions.  They will write very large or very small numbers in scientific notation and perform operations with numbers expressed in this form.
2Transformations, Similarity and Congruence
Students will find missing side lengths and angle measures for congruent and similar polygons.  They will identify and perform transforms on polygons in the coordinate plane.
3Angles and Triangles
Students will classify and determine the measures of angles created when parallel lines that are cut by a transversal and find the unknown measures of angles in diagrams involving triangles.  They will use similar triangles to solve problems that include height and distance.
4Real Numbers and th Pythagorean Theorem
Students will estimate and evaluate square and cube roots.  They will use the Pythagorean Theorem to find missing measures of right triangles and distances in the coordinate plane.
5Linear Equations
Students will compare proportional relationships represented in different ways interpreting unit rate as the slope.  They will graph and write linear equations in slope-intercept form.
Students will find the volume of cones and spheres.
Students will identify if a relation is a function and if a function is linear or not.  They will graph linear functions and compare and write functions represented in different ways.  They will analyze and sketch graphs of functions that represent given situations.
8Systems of Linear Equations
Students will solve systems of two linear equations.  When given a system of equations in slope-intercept form, students will find the solution by graphing or using substitution.  When given a system equations in standard form, students will use elimination by manipulating only one equation. When given a system with one equation in slope-intercept form and one in standard form, they will find the solution using substitution.
9Data Analysis and Displays
Students will construct scatter plots, find the lines of best fit and use these equations to solve problems - interpreting the slope and y-intercept in context.  They will use two-way tables and choose appropriate data displays.