Adlai E. Stevenson High School Course Description Content Objectives: Factor polynomial expressions, and solve, graph and write equations of quadratic functions. Graph and write equations of absolute value and piecewise functions. Graph and write equations of linear functions Graph and write equations of linear functions. Interpret and determine the domain and range of relations and functions, and use function notation. Graph and write equations of linear functions. Simplify expressions with exponents, imaginary numbers, and polynomials. Factor and classify polynomial expressions. Simplify linear expressions, and solve linear and absolute value equations and inequalities. Simplify matrix expressions, solve matrix equations, and use matrices to solve systems of linear equations. Solve and write equations and inequalities of linear systems. College Readiness Objectives: Basic Operations & Applications Expressions, Equations & Inequalities Functions Graphical Representations Numbers: Concepts & Properties Probability, Statistics & Data Analysis Social-Emotional Learning Objectives: Self-awareness Self-management Content Learning Targets Factor polynomial expressions, and solve, graph and write equations of quadratic functions. A. To factor a polynomial using the following methods: a) Greatest Common Factor ; b) Difference of Two Squares; c) Guess & Check B. To graph quadratic functions from the following forms: a) Factored form; b)vertex form; c) Standard form C. To simplify expressions with square roots, including real and complex expressions. D. To solve quadratic equations using: a) Factoring; b) Square root method; c) Complete the square; d) Quadratic formula E. To write quadratic regression equations and apply quadratic functions in real-life situations. F. To write the equation of a quadratic function: a) Factored form; b) Vertex form; c) Standard form Graph and write equations of absolute value and piecewise functions. A. Evaluate, graph, and write equations of piecewise functions.
B. Graph an absolute value function with a reflection, horizontal/vertical shift, and/or vertical stretch/shrink. Graph and write equations of linear functions A. Use a graphing calculator to determine a linear regression equation, and use the equation to predict outcomes. Graph and write equations of linear functions. A. Determine and apply the slope of a line. B. Graph a line in slope-intercept, standard, and point slope form. C. Graph a linear inequality in two variables. D. Write a linear inequality in slope-intercept, standard, and point-slope form. E. Write and solve a linear equation to model a real life situation. F. Write equations of lines that are parallel and perpendicular to another line. G. Write the equation of a line in slope-intercept, standard, and point-slope form. Interpret and determine the domain and range of relations and functions, and use function notation. Graph and write equations of linear functions. A. Define and identify relations and functions. B. Determine the domain and range of relations and functions from a graph. C. Interpret function notation. Simplify expressions with exponents, imaginary numbers, and polynomials. Factor and classify polynomial expressions. A. To divide polynomials. B. To factor polynomial expressions using the following strategies: a) Sum or difference of two cube; b) Grouping C. To simplify expressions involving imaginary numbers by adding, subtracting, multiplying, and rationalizing denominators. D. To simplify expressions using properties of exponents. E. To simplify polynomial expressions. Simplify linear expressions, and solve linear and absolute value equations and inequalities. A. Classify numbers based on the number system. B. Evaluate and simplify algebraic expressions. C. Solve a compound linear inequality (containing and/or). D. Solve a linear equation with one solution, no solutions or all real number solutions. E. Solve a linear inequality. F. Solve an absolute value equation with two solutions, one solution, or no solution. G. Solve an absolute value inequality and represent the solution graphically and in interval notation. H. Use a calculator to solve equations graphically. I. Use a graph to represent the solution for an inequality and compound inequality. J. Use interval notation to represent the solution for an inequality and compound inequality.
Simplify matrix expressions, solve matrix equations, and use matrices to solve systems of linear equations. A. B. Determine the inverse of a 2x2 square matrix by hand and all other square matrices by calculator. C. Evaluate determinants of 2 x 2 matrices by hand and by calculator. D. Multiply matrices. E. Perform operations with matrices to simplify expressions or solve matrix equations (add, subtract, multiply by a scalar.) F. Write and solve a system of equations using matrices. Solve and write equations and inequalities of linear systems. A. Solve a system of linear equations or inequalities by graphing with one solution, no solution, or infinitely many solutions. B. Solve a system of linear equations using the algebraic method of elimination (linear combination) with one solution, no solution, or infinitely many solutions. C. Solve a system of linear equations using the algebraic method of substitution with one solution, no solution, or infinitely many solutions. D. Write and solve a system of linear equations to model a real world situation. College Readiness target Basic Operations & Applications A. BOA202: Solve problems in one or two steps using whole numbers. B. BOA301; Solve routine one-step arithmetic problems such as single-step percent. C. BOA302: Solve some routine two-step arithmetic problems. D. BOA501: Solve multistep arithmetic problems that involve planning or converting units of measure. E. BOA601: Solve word problems containing several rates, proporations, or percentages. Expressions, Equations & Inequalities A. XEI301: Substitute whole numbers for unknown quantities to evaluate expressions. B. XEI302: Solve one-step equations having integer or decimal answers. C. XEI303: Combine like terms. D. XEI401: Evaluate algebraic expressions by substituting integers for unknown quantities. E. XEI403: Solve routine first-degree equations. F. XEI404: Perform straightforward word-to-symbol translations. G. XEI405: Multiple two binomials. H. XEI501: solve real-wordl problems using first-degree equations. I. XEI502: Write expressions, equations, or inequalities with a single variable for common pre-algebra settings. J. XEI503: Identify solutions to simple quadratic equations. K. XEI504: Add, subtract, and multiply polynomials. L. XEI505: Factor simple quadratics. M. XEI506: Solve first-degree inequalities that do not require reversing the inequality sign.
N. XEI601: Manipulate expressions and equations. O. XEI602: Write expressions, equations, and inequalities for common algebra settings. P. XEI603: Solve linear inequalities that require reversing the inequality sign. Q. XEI604: Solve aboslute value equations. R. XEI605: Solve quadratic equations. S. XEI606: Find solutions to systems of linear equations. T. XEI701: Write expressions that require planning and/or manipulating to accurately model a situation. U. XEI702: Write equations and inequalities that require planning, manipulating, and/or solving. V. XEI703: Solve simple absolute value inequalities. Functions A. FUN401: Evaluate quadratic functions, expressed in function notation, at integer values. B. FUN501: Evaluate polynomial functions, expressed in function notation, at integer values. C. FUN601: Evaluate composite functions at integer values. D. FUN701: Write an expression for the composite of two simple functions. Graphical Representations A. GRE201: Identify the location of a point with a positive coordinate on the number line. B. GRE301: Locate points on the number line and in the first quadrant. C. GRE401: Locate points in the coordinate plane. D. GRE402: Comprehend the concept of length on the number line. E. GRE403: Exhibit knowledge of slope. F. GRE501: Identify the graph of a linear inequality on the number line. G. GRE502: Determine the slope of a line from points or equations. H. GRE503: Match linear graphs with their equations. I. GRE601: Interpret and use information from graphs in the coordinate plane. J. GRE602: Match number line graphs with solution sets of linear inequalities.: Match number line graphs with solution sets of linear inequalities. K. GRE604: Use properties of parallel and perpendicuar lines to determine an equation of a line or coordinates of a point. L. GRE605: Recognize special characteristics of parabolas and circles. M. GRE702: Identify characteristics of graphs based on a set of conditions or on a general eqution such as y=ax^2 + c N. GRE704: Analyze and draw conclusions based on information from graphs in the coordinate plane. Numbers: Concepts & Properties A. NCP201: Recognize equivalent fractions and fractions in lowest terms. B. NCP401: Exhibit knowledge of elementary number concepts including rounding, the ordering of decimals, pattern identification, absolute value, primes, and greatest common factor. C. NCP501: Find and use the least common multiple.
D. NCP505: Work with squares and square roots of numbers. E. NCP506: Work problems involving psoitive integer exponents. F. NCP507: Work with cubes and cube roots of numbers. G. NCP508: Determine when an expression is undefined. H. NCP509: Exhibit some knowledge of the complex numbers.: Exhibit some knowledge of the complex numbers. I. NCP604: Apply rules of exponents. J. NCP605: Multiply two complex numbers. K. NCP701: Draw conclusions based on number concepts, algebraic properties, and/or relationships between expressions and numbers. L. NCP702: Exhibit knowledge of logarithms and geometric sequences. M. NCP703: Apply properties of complex numbers. Probability, Statistics & Data Analysis A. PSD202: Perform a single computation using information from a table or chart. B. PSD303: Read tables and graphs. C. PSD304: Perform computations on data from tables and graphs. D. PSD305: Use the relationship between the probabiliy of an event and the probability of its complement. E. PSD403: Determine the probability of a single event. F. PSD404: Exhibit knowledge of simple counting techniques. G. PSD503: Computer straightforward probabilities for common situations. H. PSD504: Use Venn diagrams in counting. I. PSD602: Interpret and use information from figures, tables, and graphs. J. PSD603: Apply counting techniques. K. PSD604: Compute a probability when the event and/or sample space are not given or obvious. L. PSD703: Exhibit knowledge of conditional and joint probability. Social Emotional learning Targets Self-awareness A. I recognize that making mistakes is part of the learning process. Self-management A. I identify various resources to help me reach my goals.