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Core Content and Skills
Math Grade 8
2008-2009
BOE Approved

Algebra & Variable Expressions  Content   Skills  Variable Expression Order of Operations Equations/Inequalities Tables and graphs   Evaluate variable expressions Translate verbal phrases into algebraic expressions Translate verbal sentences into algebraic inequalities

Graphic Relationships  Content   Skills  Graphic representation   Students will be capable of describing a situation that matches a given graph     Law of Exponents  Content   Skills  Multiplication Properties of Exponents Division Properties of Exponents Zero and Negative Exponents   Multiplying exponential expressions using the properties of exponents Dividing with exponents using properties of exponents; Simplifying/evaluating expressions Using zero and negative exponents to simplify/evaluate exponential expressions Students will determine the GCF of monomials to determine the rules of exponents

Percent  Content   Skills  Percent of increase/decrease for a set of data Solve percent problems using proportions Use estimation to determine the percent of a number.   Given a decimal or fractions, students will be able to convert to the equivalent percentage Given a word problem, students will be able to utilize percentage proportionality to solve.   Solve percent problems using proportions Percent of increase/decrease for a set of data   Given a starting value and an ending value, students will be able to determine the percentage of increase/decrease.     Polynomial Factoring  Content   Skills  Factor polynomials   Factor numbers and monomials Factoring polynomials using the greatest common factor, difference of squares, trinomials where a = 1, and factoring a polynomial completely     Polynomials  Content   Skills  Addition/subtraction/multiplication/division of polynomials   Identify type, degree, and parts of a polynomial write polynomials in standard form Multiply a binomial by a monimial/multiply a binomial by a binomial (FOIL) Divide a polynomial by a monomial Utilize algebra tiles to perform mathematical operations with polynomials

Algebraic Equations/Inequalities  Content   Skills  Solve and graph the solution to an algebraic equation/inequality on a number line. Solve/graph solution of an algebraic equation in a coordinate plane.   Combine like terms Solve multi-step equations/inequalities by inverse operations. Graph solution on number line. Graph ordered pairs on a coordinate plane via chart method. Differentiate between an inequality on a number line and a coordinate plane

Geometry  Content   Skills  Complementary/supplementary/vertical angles Relationship of angles formed when two parallel lines are cut by a transversal/intersecting lines   Indentify pairs of complementary/supplementary angles. Determine the measures of special angle pairs, including adjacent, vertical, supplementary, and complementary angles, and angles formed by parallel lines cut by a transversal.     Polygons  Content   Skills  Pythagorean Theorem Verbal Problems   Identify the legs and hypotenuse of a right traingle. Determine the length of a side of a right triangle using the Pythagorean Theorem Identify and use Pythagorean triples Find the missig angle of a polygon using formula 180(n-2)

Function  Content   Skills  Function values   Students will be able to determine the input and output values of a function Students will be able to recognize a function. Interpret equation, table of values, and graph to determine function Use tables and graphs to represent relations and functions. Find the domain of a function Use function notation to evaluate a function     Transformational Geometry  Content   Skills  Reflection/rotation/translation/dilation.   Describe/identify a transformation as reflection/rotation/translation/dilation. Construct the image of a given transformation Identify properties preserved/not preserved under the indicated transformation.

Coordinate Geometry  Content   Skills  Slope y-intercept Graphing linear equation in slope-intercept format/table format   Calculate value of slope from a graph and when given 2 points (without graphic representation) Express y-intercept from a graph Write the equation of a straight line given the slope and y-intercept Graph system of linear equations Quadratic characteristics Determine x-intercept (x,0) and y-intercept (0,y) algebraically     Measurement  Content   Skills  Metric System Customary System   Solve proportions involving metric/standard units of measurement and conversions.     REVIEW  Content   Skills  Review for NY State Grade 8 Math Exam

Algebraic Inequality  Content   Skills  Solve and graph the solution to an algebraic equation/inequality on a coordinate plane/number line   Simplify expressions to find the solution set of an inequality Identify & construct the correct inequality symbol.

Geometry Construction  Content   Skills  Segment construction Angle construction Perpendicular bisector Angle bisector   Measure/construct angle with a protractor Identify/classify angle Perpendicular bisector definition/symbol Angle bisector definition     Parabola  Content   Skills  Graph parabola on a coordinate plane System of simultaneous linear equations   Identify linear equation and quadratic equation graphically and algebraically Graph quadratic function Identify turning point Determine shape of parabola given value of "a"

Review  Content   Skills  Cumulative Review Grade 8