Adlai E. Stevenson High School Course Description Content Objectives: By the end of this course, students will be able to: Display & analyze data using appropriate statistical techniques. Identify functions. Rate of change. Simplify and evaluate algebraic expressions. Simplify exponential expressions. Solve and graph linear equations (in one and two variables).. Solve and graph linear inequalities (in one and two variables) and solve absolute value equations. Solve and graph quadratic equations. Solve systems of equations by graphing and algebraic methods. Use and apply polynomial operations. Use multiple representations to describe and analyze mathematical situations. Write and graph equations of lines. College Readiness Objectives: By the end of this course, students will be able to: Basic Operations & Applications Expressions, Equations & Inequalities Functions Graphical Representations Measurement Numbers: Concepts & Properties Probability, Statistics & Data Analysis Social-Emotional Learning Objectives: By the end of this course, students will be able to: Relationship Skills Responsible Decision Making Self-awareness Self-management Social Awareness Content Learning Targets Display & analyze data using appropriate statistical techniques. A. I can choose an appropriate scale for a graph. B. I can find the trend line to model a set of data and write an equation for the trend line on a calculator.
C. I can interpret the meaning of a trend line using strength and direction of correlation in the context of a problem situation. D. I can interpret the meaning of points on a graph. E. I can plot points on the coordinate plane and identify the quadrant in which they are located. Identify functions. A. I can determine if a relation is a function from a table, graph, or ordered pairs. B. I can identify variables as independent or dependent from a graphical, tabular, or verbal representation. C. I can use function notation to evaluate a function for a given value. D. I can use guess and check to determine if a given value is a solution to an equation. Rate of change. A. I can compute rates of change from tables, graphs, and verbal descriptions. B. I can create and interpret motion graphs. C. I can determine if a linear relationship is proportional or non proportional. D. I can determine if a relationship is linear from a table, graph, or rule. E. I can identify from tables whether a relationship is linear, exponential, or quadratic. F. I can identify the relationship between the slopes and write equations of parallel lines and perpendicular lines. Simplify and evaluate algebraic expressions. A. I can evaluate expressions using order of operations. B. I can use variables to create algebraic expressions that have practical meaning within the context of a situation. C. I can use variables to represent unknown quantities. D. I can write equivalent expressions by combining like terms and applying the distributive property. Simplify exponential expressions. A. I can analyze data and use functions of the form to represent exponential relationships. B. I can determine if a function is linear, exponential, or quadratic from a table, function rule, verbal description, or graph. C. I can simplify expressions using the division property for exponents. D. I can simplify expressions using the multiplication properties for exponents. E. I can simplify expressions with zero and negative exponents. F. I can translate expressions between scientific notation and standard form. Solve and graph linear equations (in one and two variables).. A. I can determine if a value is a solution to an equation. B. I can recognize when a linear equation has no, one, or many solutions. C. I can solve equations with variables on both sides. D. I can solve multi step equations using distribute property and/or combining like terms. E. I can transform equations that have more than one variable into different forms. F. I can use algebraic operations to solve one step and two step linear equations.
G. I can use tables and graphs to solve linear equations. Solve and graph linear inequalities (in one and two variables) and solve absolute value equations. A. I can determine if a value is a solution to a compound linear inequality on a coordinate plane. B. I can determine if a value or ordered pair is a solution to a one- variable or two variable inequality. C. I can graph solutions to compound linear inequalities in two variables on a coordinate plane. D. I can graph solutions to inequalities in one variable on a number line. E. I can graph solutions to inequalities in two variables on a coordinate plane. F. I can use algebraic operations to solve linear inequalities in one variable. G. I can write linear inequalities in one and two variables. Solve and graph quadratic equations. A. I can analyze data and use functions of the form to represent quadratic relationships. B. I can factor quadratic expressions. C. I can identify how the parameters of a and c affect the graph of D. I can simplify square root expressions. E. I can solve quadratic equations by graphing and explain the meaning of solutions for given situations. F. I can solve quadratic equations using the quadratic formula. G. I can solve quadratic equations using the square root method. H. I can use factoring to solve quadratic equations. Solve systems of equations by graphing and algebraic methods. A. I can define variables and write a system of linear equations to model a problem situation. B. I can determine if an ordered pair is a solution to a system of equations. C. I can determine which solution method might be most efficient for a given system of linear equations. D. I can recognize when a system of linear equations has no, one, or many solutions. E. I can solve systems of linear equations with graphs, by hand and with a calculator. F. I can use linear combination to solve a system of linear equations in two variables. G. I can use substitution to solve a system of linear equations in two variables. Use and apply polynomial operations. A. I can add and subtract polynomial expressions. B. I can classify polynomials by degree and number of terms. C. I can multiply polynomial expressions. Use multiple representations to describe and analyze mathematical situations. A. I can analyze problem situations and identify patterns. B. I can represent a situation with and interpret information from a verbal description, table, graph, or algebraic rule.
Write and graph equations of lines. A. I can determine the slope of a line given ordered pairs, a graph, or an equation. B. I can graph an equation in slope intercept form and standard form. C. I can graph and write equations of horizontal and vertical lines. D. I can identify x and y intercepts and interpret their meaning in context. College Readiness target Basic Operations & Applications A. BOA202: Solve problems in one or two steps using whole numbers. Expressions, Equations & Inequalities A. XEI201: Exhibit knowledge of basic expressions. B. XEI202: Solve equations in the form x+a=b, where a and b are whole numbers or decimals. C. XEI301: Substitute whole numbers for unknown quantities to evaluate expressions. D. XEI302: Solve one-step equations having integer or decimal answers. E. XEI303: Combine like terms. F. XEI401: Evaluate algebraic expressions by substituting integers for unknown quantities. G. XEI402: Add and subtract simple algebraic expressions. H. XEI403: Solve routine first-degree equations. I. XEI404: Perform straightforward word-to-symbol translations. J. XEI405: Multiple two binomials. K. XEI501: solve real-wordl problems using first-degree equations. L. XEI502: Write expressions, equations, or inequalities with a single variable for common pre-algebra settings. M. XEI503: Identify solutions to simple quadratic equations. N. XEI504: Add, subtract, and multiply polynomials. O. XEI505: Factor simple quadratics. P. XEI506: Solve first-degree inequalities that do not require reversing the inequality sign. Q. XEI601: Manipulate expressions and equations. R. XEI602: Write expressions, equations, and inequalities for common algebra settings. S. XEI603: Solve linear inequalities that require reversing the inequality sign. T. XEI604: Solve aboslute value equations. U. XEI605: Solve quadratic equations. V. XEI606: Find solutions to systems of linear equations. W. XEI701: Write expressions that require planning and/or manipulating to accurately model a situation. Functions A. FUN401: Evaluate quadratic functions, expressed in function notation, at integer values.
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. GRE403: Exhibit knowledge of slope. E. GRE501: Identify the graph of a linear inequality on the number line. F. GRE502: Determine the slope of a line from points or equations. G. GRE503: Match linear graphs with their equations. H. GRE601: Interpret and use information from graphs in the coordinate plane. I. GRE602: Match number line graphs with solution sets of linear inequalities.: Match number line graphs with solution sets of linear inequalities. J. GRE605: Recognize special characteristics of parabolas and circles. K. GRE702: Identify characteristics of graphs based on a set of conditions or on a general eqution such as y=ax^2 + c L. GRE703: Solve problems integrating multiple algebraic and/or geometric concepts. M. GRE704: Analyze and draw conclusions based on information from graphs in the coordinate plane. Measurement A. MEA301: Computer the perimeter of polygons when all side lengths are given. Numbers: Concepts & Properties A. NCP401: Exhibit knowledge of elementary number concepts including rounding, the ordering of decimals, pattern identification, absolute value, primes, and greatest common factor. B. NCP505: Work with squares and square roots of numbers. C. NCP506: Work problems involving psoitive integer exponents. D. NCP507: Work with cubes and cube roots of numbers. E. NCP508: Determine when an expression is undefined. Probability, Statistics & Data Analysis A. PSD202: Perform a single computation using information from a table or chart. B. PSD303: Read tables and graphs. Social Emotional learning Targets Relationship Skills A. I adapt my behavior according to the situation and those involved. B. I can demonstrate active listening strategies. C. I can identify active listening strategies. D. I consider feedback from others. E. I invite and welcome feedback from others. F. I monitor the information I share with others. G. I work cooperatively with others.
Responsible Decision Making A. I choose to be encouraging, kind, and polite toward others. B. I evaluate possible options, including major alternative points of view and their consequences, before making a decision. C. I identify possible options, including major alternative points of view and their consequences, before mking a decision. D. I make decisions based on my personal values, ethics, and my knowledge of social norms. E. I reflect upon and evaluate the choices I make and the outcomes of those choices. Self-awareness A. I can identify my areas for growth. B. I can identify my strengths. C. I can identify the attitudes I portray. D. I can predict conditions under which I am likely to be succesful. E. I can predict conditions under which I am likely to be successful. F. I recognize that making mistakes is part of the learning process. G. I recognize when I need help. Self-management A. I accept responsibility for my actions and words. B. I adapt my strategies, goals, or projects to cope with unexpected events. C. I apply healthy strategies to decrease my stress level. D. I choose to behave respectfully (in non-aggressive/non-harmful ways towards myself, others or things). E. I create individual short-term and long-term goals for myself. F. I create plans to reach my goals. G. I follow rules of the schools H. I identify various resources to help me reach my goals. I. I implement specific action steps towards reaching my goals. J. I listen to others without interrupting. K. I monitor and evaluate my progress towards reaching my goals. L. I persevere when facing challenges. M. I prioritize and organize my resources (time, materials, support form others) when achieving my goals. N. I recognize the positive in people, situations, and events more often than the negative. O. I remain calm and composed in stressful situations. P. I start and complete tasks without needing to be prompted or reminded. Q. I think before responding. R. I use various resources to help me reach my goals.
Social Awareness A. I can identify a team or organization's unspoken rules and informal processes. B. I can identify my emotions. C. I can identify the attitudes I portray. D. I evaluate how my actions impact others. E. I recognize how others perceive me. F. I treat others with respect.