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1 Algebra I Algebra II Geometry Pre- Calculus U1: translate between words and algebra -add and subtract real numbers -multiply and divide real numbers -evaluate containing exponents -evaluate containing U1: Classify and order real numbers - Identify and use real number properties - Simplify, add, subtract, multiply and divide square roots - Simplify and evaluate algebraic U1: Recall Algebra I skills useful for Geometry - - solve several types of - - combine like terms by adding and subtracting - - solve using FOIL square roots and classify numbers - - factor and solve quadratic within the real number system - Simplify involving -use order of operations to exponents - - converting measurements simplify - Identify the domain and range of - - simplifying ratios -use the Commutative, relations and - - solving simple absolute value Associative, and Distributive - Write using function Properties to simplify -understand basics of graphing on a coordinate axis system notation, evaluate and graph - Apply transformations to points and sets of points U2: solve one-step using addition or subtraction -solve one-step using multiplication and subtraction -solve in one variable that contain more than one operation -solve in one variable that contain variable terms on both sides -solve in two or more variables for one variable -write ratios and write and solve proportions -use proportions to solve word problems -solve problems containing percents, fractions and decimals U2: Solve linear and linear - Apply proportional relationships to rates, similarity and scale - Identify linear, find the slope of a linear function and graph linear - Write linear in slope/intercept form - Graph linear on the coordinate plane - Simplify compound - Write and solve absolute value and - Graph and transform absolute value U2: - - Understand basic terms of geometry - - Understand basic postulates of geometry - - Identify segments and rays - - Recognize parallel lines - - Find the lengths of segments - - Find the measures of angles - - Identify special angle pairs - - Find the distance between two points in the coordinate plane - - Find the coordinates of the midpoint of a segment in the coordinate plane - - Find perimeters of rectangles and squares, and circumference of circles U3: - - Recognize conditional statements - - Write converses of conditional statements Review unit: - real numbers and their properties - exponents and radicals - polynomials and factoring - rational - solving - linear in one variable - errors and the algebra of calculus U1: Functions and graphs - rectangular coordinates - graphs of - linear in two variables - - analyzing graphs and - transforming - composite - inverse - Mathematical modeling and variation U2: Polynomials and rational - quadratic and models - polynomial of higher degree - polynomial and synthetic division - complex numbers

2 -solve word problems containing percents -finding percent of increase or decrease U3: review inequality symbols and graph in one variable - solve one- step using addition and subtraction - solve one- step using multiplication and division - solve that contain more than one operation - solve that contain variables on both sides - solve and graph compound - solve in one variable involving absolute value U4: graph relationships and identify discrete and continuous graph -find domain and range of a relation and identify a relation which is a function -use function notation -graph -recognize and extend arithmetic sequences -recognize and extend geometric sequences U3: Solve systems of by graphing - Solve systems of linear by substitution and elimination - Solve systems of linear - Graph points in three dimensions and state solutions of linear in three dimensions - Solve systems of three in three dimensions - Solve parametric, graph parametric and write the function represented by parametric U4: Use matrices to display mathematical and real- world data - Use matrix addition, subtraction, multiplication by a scalar and matrix multiplication - Use graphing calculators to perform matrix operations - Find the determinant of matrices up to dimensions of 3X3 - Find the inverse of a 2X2 matrix - Solve systems of by writing and solving a matrix equation - Solve systems of by using Cramer s Rule - - Write bi- conditionals - - Recognize good definitions - - Use the Law of Detachment - - Use the Law of Syllogism - - Connect reasoning in algebra and geometry - - Prove and apply theorems about angles U4: - identify angles formed by two lines and a transversal - prove and use properties of parallel lines - use a transversal in proving lines parallel - relate parallel and perpendicular lines - classify and find the measures of their angles - classify polygons - find the sums of the measures of the interior and exterior angles of polygons - graph lines given their - write of lines - relate slope and parallel lines - relate slope and perpendicular lines U5: - To recognize congruent figures and their corresponding parts - prove two congruent using the SSS and SAS postulate - prove two congruent - zeros of polynomial - rational - nonlinear U3: Exponential and logarithmic - exponential and their graphs - logarithmic and their graphs - properties of logarithms - exponential and logarithmic - exponential and logarithmic models U4: Trigonometry - radian and degree measure - trigonometric : the unit circle - right angle trigonometry - trigonometric of any angle - graphs of sine and cosine - graphs of other trigonometric - inverse trigonometric - applications and models U5: Analytic Trigonometry - using fundamental identities - verifying trigonometric identities - solving trigonometric

4 convert between standard notation and scientific notation -use multiplication properties of exponents to evaluate and simplify -use division properties of exponents to evaluate and simplify -classify polynomials and write polynomials in standard form -add and subtract polynomials -multiply polynomials -find special binomial products U8: write the prime factorization of numbers and find the GCF of monomials -factor polynomials by using the greatest common factor -factor quadratic polynomials in which the coefficient of the squared term is one -factor four-term polynomials which can be factored by grouping two and two -factor quadratic polynomials in which the coefficient of the squared term is greater than one -factor perfect-square trinomials and difference of two squares -choose the appropriate factoring method and combine methods to factor a polynomial U9: identify quadratic and determine whether they binomial expansion using Pascal s triangle - Dividing polynomials using polynomial long division and synthetic division - Using synthetic division to evaluate a function for a given value and to determine factors of a polynomial function - Identifying the multiplicity of roots and finding possible rational roots of a polynomial function - Solving third and fourth degree polynomials using solution hints - Writing polynomial from given roots - Using the Fundamental Theorem of Algebra and the Complex Conjugate Root Theorem U8: Solve problems using direct variation, - Solve problems using inverse and joint variation, - Multiply and divide rational - Add and subtract rational - Name zeros and of vertical asymptotes of rational - Solve rational and parallelogram is a rhombus or a rectangle - verify and use properties of trapezoids and kites U7: - write ratios and solve proportions - identify similar polygons - apply similar polygons - use AA, SAS, and SSS similarity statements - apply AA, SAS and SSS similarity statements - Solve by simplifying square roots - Solve by multiplying square roots - Solve by dividing square roots - Solve by adding and subtracting square roots - find and use relationships in similar right - use the Side- Splitter Theorem - use the Triangle- Angle- Bisector Theorem U8: - use the Pythagorean Theorem - use the converse of the Pythagorean Theorem - use the properties of use the properties of use tangent ratios to determine side lengths in - sequences and series - arithmetic sequences and partial sums - geometric sequences and series - mathematical induction - the binomial theorem - counting principles - probability U10: Topics in analytic geometry - the three- dimensional coordinate system - vectors in space - the cross- product of two vectors - lines and planes in space U11: Analytic geometry in three dimensions - the three- dimensional coordinate system - vectors in space - the cross- product of two vectors - lines and planes in space U12: Limits and an introduction to calculus - introduction to limits - techniques for evaluation limits - the tangent line problem - limits at infinity and limits of sequences

6 - find the measure of an inscribed angle - find the measure of an angle formed by a tangent and a chord - find the measures of angles formed by chords, secants, and tangents - find the lengths of segments associated with circles - write an equation of a circle - find the center and radius of a circle

Common Core Edition Table of Contents ALGEBRA 1 Chapter 1 Foundations for Algebra 1-1 Variables and Expressions 1-2 Order of Operations and Evaluating Expressions 1-3 Real Numbers and the Number Line 1-4

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