Curriculum Map Common Core Standards Fulton Independent School District Subject/Course: Grade: Revision Date: Teacher: Timeline (Days or weeks/dates) UNIT 1 Inequalities and Equations UNIT 2 Systems Algebra 2 11 7-28-14 Jennifer Dillon Content ACT Quality Core Standard(s) Solving Absolute Value Equations Pre-D.1.a Solving Inequalities Pre-D.1.a Solving Compound and Absolute Inequalities D.1.a, D.1.b Writing Linear Equations Pre-D.2.ab Graphing Linear and Absolute Value Inequalities Pre-D.2.b Solving Systems of Equations by Graphing Pre-D.2.a Solving Systems of Equations Algebraically Pre-D.2.a Solving Systems of Inequalities by Graphing D.2.a Optimization with Linear Programming D.2.b Systems of Equations in Three Variables D.1.c Learning Target I can evaluate expressions involving absolute values I can solve absolute value equations I can solve one-step and multistep inequalities I can solve compound inequalities I can solve absolute value inequalities I can write an equation of a line given the slope and a point on the line I can write an equation of a line parallel or perpendicular to a given line I can graph linear inequalities I can graph absolute value inequalities I can solve systems of linear equations by using tables and graphs I can classify systems of linear equations I can solve systems of linear equations using substitution and elimination I can solve systems of inequalities by graphing I can determine the coordinates of the vertices of a region formed by the graph of a system of inequalities I can find the maximum and minimum values of a function over a region I can solve real-world optimization problems using linear programming I can solve systems of linear equations in three variables I can solve real-world problems using systems of linear equations in three variables Correspondence with Textbook or Supplemental Material Chapter 1 Section 4 Chapter 1 Section 5 Chapter 1 Section 6 Chapter 2 Section 4 Chapter 2 Section 8 Chapter 3 Section 1 Chapter 3 Section 2 Chapter 3 Section 3 Chapter 3 Section 4 Chapter 3 Section 5 UNIT 3 Matrices and More UNIT 4 Quadratic Equations, Inequalities, and Functions Introduction to Matrices Pre-I.1.abcdef I can organize data in matrices I can use matrix row and column operations to analyze data I can add and subtract matrices I can multiply a matrix by a scalar I can multiply matrices I can use the properties of matrix multiplication I can evaluate determinants I can find the inverse of a 2x2 matrix I can write and solve matrix equations for a system of equations I can perform operations with pure imaginary numbers I can perform operations with complex numbers I can simplify radicals Operations with Matrices I.1.a, I.1.b, I.1.f Multiplying Matrices I.1.a, I.1.b, I.1.f Determinants and Cramer’s Rule Inverse Matrices and Systems of Equations I.1.c, I.1.f I.1.d, I.1.e, I.1.f Complex Numbers C.1.a, C.1.b, C.1.c Simplifying Radicals Pre-E.1.abcd Graphing Quadratic Functions E.2.a I can graph quadratic functions I can find and interpret the maximum and minimum values of a quadratic function Solving Quadratic Functions by Graphing E.1.a Solving Quadratic Equations by Factoring E.1.a Completing the Square E.1.a, E.1.c The Quadratic Formula and the Discriminant E.1.a, E.1.b, E.1.c Transformations with Quadratic Functions E.2.b Quadratic Inequalities Pre-E.1.d I can solve quadratic equations by graphing I can estimate solutions of quadratic equations by graphing I can write quadratic equations in intercept form I can solve quadratic equations by factoring I can solve quadratic equations by using the Square Root Property I can solve quadratic equations by completing the square I can solve quadratic equations by using the Quadratic Formula I can use the discriminant to determine the number and type of roots of a quadratic equation I can write a quadratic function in the form y=a(xh)2+k I can transform graphs of quadratic functions of the form y=a(x-h)2+k I can graph quadratic inequalities in two variables I can solve quadratic inequalities in one variable Chapter 4 Section 1 Chapter 4 Section 2 Chapter 4 Section 3 Chapter 4 Section 4 Chapter 4 Section 5 Chapter 4 Section 6 Supplemental Material from Kuta Software Chapter 5 Section 1 Chapter 5 Section 2 Chapter 5 Section 3 Chapter 5 Section 5 Chapter 5 Section 6 Chapter 5 Section 7 Chapter 5 Section 8 UNIT 5 Polynomials UNIT 6 Functions UNIT 7 Radicals and Radical Functions (Solving Quadratic Systems) E.1.d Operations with Polynomials F.1.a Dividing Polynomials F.1.a, F.1.b Polynomial Functions F.2.a, F.2.c Analyzing Graphs of Polynomial Functions F.2.a, F.2.c, F.2.d Solving Polynomial Equations F.1.b The Remainder and Factor Theorems F.1.b Roots and Zeros F.2.a Rational Zero Theorem F.2.b Operations on Functions C.1.d Inverse Functions and Relations C.1.d Square Root Functions and Inequalities G.1.f Nth Roots G.1.b, G.1.c, G.1.f Operations with Radical Expressions G.1.c, G.1.d, G.1.e, G.1.f I can solve systems of quadratic equations I can multiply, divide, and simplify monomials and expressions involving powers I can add, subtract, and multiply polynomials I can divide polynomials using long division I can divide polynomials using synthetic division I can evaluate polynomial functions I can identify general shapes of graphs of polynomial functions I can graph polynomial functions and locate their zeros I can find the relative maxima and minima of polynomial functions I can factor polynomials I can solve polynomial equations by factoring I can evaluate functions by using synthetic substitution I can determine whether a binomial is a factor of a polynomial by using synthetic substitution I can determine the number and type of roots for a polynomial equation I can find the zeros of a polynomial function I can identify possible rational zeros of a polynomial function I can find all of the rational zeros of a polynomial function I can find the sum, difference, product, and quotient of functions I can find the composition of functions I can find the inverse of a function or relation I can determine whether two functions or relations are inverses I can graph and analyze square root functions I can graph square root inequalities I can simplify radicals I can use a calculator to approximate radicals I can simplify radical expressions I can add, subtract, multiply, and divide radical expressions Chapter 10 Section 7 Chapter 6 Section 1 Chapter 6 Section 2 Chapter 6 Section 3 Chapter 6 Section 4 Chapter 6 Section 5 Chapter 6 Section 6 Chapter 6 Section 7 Chapter 6 Section 8 Chapter 7 Section 1 Chapter 7 Section 2 Chapter 7 Section 3 Chapter 7 Section 4 Chapter 7 Section 5 UNIT 8 Exponential Functions and Logarithms UNIT 9 Rational Expressions UNIT 10 Sequences and Series UNIT 11 Probability and Statistics Rational Exponents G.1.c Solving Radical Equations and Inequalities G.1.f, G.1.g Graphing Exponential Functions G.2.a Solving Exponential Equations and Inequalities (G.2.a) Logarithms and Logarithmic Functions G.2.a, G.2.b Solving Logarithmic Equations and Inequalities (G.2.a) Properties of Logarithms (G.2.a) Multiplying and Dividing Rational Expressions Pre-G.1.a Adding and Subtracting Rational Expressions Pre-G.1.a Solving Rational Equations and Inequalities G.1.a Sequences as Functions Arithmetic Sequences and Series H.2.a, H.2.b, H.2.c, H.2.d, H.2.e Geometric Sequences and Series H.2.a, H.2.b, H.2.c, H.2.d The Fundamental Counting Principle H.1.a I can write expressions with rational exponents in radical form and vice versa I can simplify expressions in exponential or radical form I can solve equations containing radicals I can solve inequalities containing radicals I can graph exponential growth functions I can graph exponential decay functions Chapter 7 Section 6 I can solve exponential equations I can solve exponential inequalities I can evaluate logarithmic expressions I can graph logarithmic functions I can solve logarithmic equations I can solve logarithmic inequalities I can simplify and evaluate expressions using the properties of logarithms I can solve logarithmic equations using the properties of logarithms I can simplify rational expressions I can simplify complex fractions I can determine the LCM of polynomials I can add and subtract rational functions I can solve rational equations I can solve rational inequalities I can relate arithmetic sequences to linear functions I can relate geometric sequences to exponential functions I can use arithmetic sequences I can find sums of arithmetic series I can use geometric sequences I can find sums of geometric series I can use the Fundamental Counting Principle to find outcomes involving independent and dependent events Chapter 8 Section 2 Chapter 7 Section 7 Chapter 8 Section 1 Chapter 8 Section 3 Chapter 8 Section 4 Chapter 8 Section 5 Chapter 9 Section 1 Chapter 9 Section 2 Chapter 9 Section 6 Chapter 11 Section 1 Chapter 11 Section 2 Chapter 11 Section 3 Chapter 0 Section 4 UNIT 12 Conic Sections **UNIT 13 Advanced Trig Combinations and Permutations H.1.b Mutually Exclusive and Nonmutually Exclusive Events H.1.c Independent and Dependent Events H.1.d Unions, Intersections, and Compliments to Find Probability H.1.e Conditional Probability H.1.f Midpoint and Distance Formulas Pre-E.3.abcd Parabolas E.3.a, E.3.b, E.3.c, E.3.d Circles Ellipses E.3.a, E.3.b, E.3.c, E.3.d E.3.a Hyperbolas E.3.a Identifying Conic Sections E.3.a, E.3.b, E.3.c, E.3.d **Solving Quadratic Systems E.1.d Trigonometric Functions in Right Triangles Pre-G.3.a Angles and Angle Measure G.3.b, G.3.c I can solve problems involving permutations and combinations I can find the probability of mutually exclusive events I can find the probability of nonmutually exclusive events I can find the probability of independent and dependent events I can use unions, intersections, and compliments to find probability I can find probabilities of events given the occurrence of other events I can use contingency tables to find conditional probabilities I can find the midpoint of a segment on the coordinate plane I can find the distance between two points on the coordinate plane I can write equations of parabolas in standard form I can graph parabolas I can write equations of circles I can graph circles I can write equations of ellipses I can graph ellipses I can write equations of hyperbolas I can graph hyperbolas I can write equations of conic sections in standard form I can identify conic sections from their equations I can solve systems of linear and nonlinear equations algebraically and graphically I can solve systems of linear and nonlinear inequalities graphically I can find values of trigonometric functions I can use trigonometric functions to find side lengths and angle measures of right triangles I can draw and find angles in standard position I can convert between degree measures and radian measures Chapter 0 Section 5 Supplemental Material used from Glencoe Algebra 1 – Chapter 12 Section 5 Supplemental Material used from Glencoe Algebra 1 – Chapter 12 Section 5 Supplemental Material Needs to be Found Chapter 12 Section 3 Chapter 10 Section 1 Chapter 10 Section 2 Chapter 10 Section 3 Chapter 10 Section 4 Chapter 10 Section 5 Chapter 10 Section 6 Chapter 10 Section 7 Chapter 13 Section 1 Chapter 13 Section 2 Trigonometric Functions of General Angles G.3.b Law of Sines G.3.a Law of Cosines G.3.a Circular Functions Pre-G.3.b Graphing Trigonometric Functions G.3.d, G.3.e, G.3.f, G.3.g I can find values of trigonometric functions for general angles I can find values of trigonometric functions by using reference angles I can find the area of a triangle using two sides and an included angle I can use the Law of Sines to solve triangles I can use the Law of Cosines to solve triangles I can choose methods to solve triangles I can find values of trigonometric functions based on the unit circle I can use the properties of periodic functions to evaluate trigonometric functions I can describe and graph the sine, cosine, and tangent functions I can describe and graph other trigonometric functions Chapter 13 Section 3 Chapter 13 Section 4 Chapter 13 Section 5 Chapter 13 Section 6 Chapter 13 Section 7