Adlai E. Stevenson High School Course Description

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1 Adlai E. Stevenson High School Course Description Division: Course Number: Course Title: Special Education/Mathematics MTH0N1/MTH0N2 Instructional Algebra Enriched Course Description: Algebra Enriched Students in this course will meet for two consecutive periods so that by the end of future mathematics courses. This course is designed to emphasize the development of skills, techniques and applications that deal with algebra, number relations, linear equations, formulas, polynomials, graphing, systems of equations, factoring, quadratic and exponential equations. Completion of this course prepares a student for further work in mathematics, usually in Geometry. Upon successful completion of this course, students will receive two credits, one mathematics credit and one elective credit. In support of each student, the course will reflect the flexibility necessary to adapt to the individualized needs of each student with respect to modifications, pace, accommodations, and size. Content Objectives By the end of this course, students will be able to: A. Simplify and evaluate algebraic expressions. B. Identify and perform operations with real numbers. C. Find the solutions of linear equations in one variable. D. Write and graph equations of lines. E. Use multiple representations to describe and analyze mathematical situations. F. Identify functions. G. Rate of Change. H. Display & analyze data using appropriate statistical techniques. I. Solve and graph linear inequalities (in one and two variables) and solve absolute value equations. J. Solve systems of equations by graphing and algebraic methods. K. Simplify exponential expressions.

2 L. Solve and graph quadratic equations. M. Use and apply polynomial operations. College Readiness Standards By the end of this course, students will be able to: A. Perform basic operations and applications. B. Understand concepts and properties. C. Write Expressions, Equations, and Inequalities. D. Demonstrate Graphical Representations. E. Use Measurements and Functions. Social-Emotional Learning Objectives By the end of this course, students will be able to: A. Develop social awareness and self-management skills around collaboration and Algebra problem-solving. B. Use self-awareness to gain an understanding of how effort helps to grow the brain. C. Use responsible decision-making skills to understand the role of meta-cognition in the learning process. Content Learning Targets A. Simplify and evaluate algebraic expressions. 1. I will apply mathematical operations with signed numerical expressions. 2. I will evaluate expressions using order of operations. 3. I will use variables to represent unknown quantities. 4. I will use variables to create algebraic expressions that have practical meaning within the context of a situation.

3 B. Identify and perform operations with real numbers. 1. I will write equivalent expressions by combining like terms and applying the distributive property. 2. I will analyze problem situations and identify patterns C. Find the solutions of linear equations in one variable. 1. I will plot points on the coordinate plane and identify the quadrant in which they are located. 2. I will interpret the meaning of points on a graph D. Write and graph equations of lines 1. I will represent a situation with and interpret information from a verbal description. 2. I will represent a situation with and interpret information from a numerical model (table). 3. I will represent a situation with and interpret information from a graph. 5. I will represent a situation with and interpret information from an algebraic rule. E. Multiply representations to describe and analyze mathematical situations 1. I will recognize equivalent graphical, tabular, or algebraic representations for a single pattern. 2. I will determine if a relation is a function from a table, graph, mapping diagram, or ordered pairs F. Identify functions. 1. I will use function notation to evaluate a function for a given value. 2. I will use guess and check to determine if a given value is a solution to an equation.

4 3. I will identify variables as independent or dependent from a graphical, tabular, or verbal representation. 4. I will determine reasonable input values for a problem situation. 5. I will choose an appropriate scale for a graph G. Understand rate of change. 1. I will interpret motion graphs. 2. I will create a motion graph from a verbal description. 3. I will compute rates of change from tables. 4. I will compute rates of change from graphs. 5. I will compute rates of change from verbal descriptions. 6. I will interpret motion graphs with more than one set of data in a race context. H. Display and analyze data using appropriate statistical techniques. 1. I will determine if a linear relationship is proportional. 2. I will recognize graphs that do not have a constant rate of change 3. I will identify from tables whether a relationship is linear, exponential, quadratic, or inverse variation I. Solve and graph linear inequalities (in one and two variables) and solve absolute value equations. 1. I will determine the slope of a line given ordered pairs, a graph, or an equation. 2. I will identify x-and-y-intercepts and interpret their meaning in context. 3. I will graph an equation in slope-intercept form.

5 4. I will graph an equation in standard form. 5. I will graph equations of horizontal and vertical lines. 6. I will write the equation of a line given slope and y-intercept. 7. I will write the equation of a line given slope and a point. 8. I will write the equation of a line given ordered pairs J. Solve systems of equations by graphing and algebraic methods. 1. I will determine if a point is a solution to an equation. 2. I will identify the relationship between the slopes of parallel lines and perpendicular lines. 3. I will identify positive and negative correlations for data from a graph. 4. I will write the equation of a trend line from given data. 5. I will create a scatter-plot on the graphing calculator and determine the regression line for the data. K. Simplify exponential expressions. 1. I will determine if a value is a solution to an equation. 2. I will solve equations using the table feature on the calculator. 3. I will solve equations using the graph feature on the calculator. L. Solve and graph quadratic equations. 1. I will solve 1-step equations. 2. I will solve 2-step equations 3. I will solve multi-step equations using distributing property and/or combining like terms. 4. I will solve equations with variables on both sides.

6 M. Use and apply polynomial operations. 1. I will solve literal equations. 2. I will solve equations with many solutions or no solutions. College Readiness Learning Targets A. Perform basic operations and applications. 1. I will solve problems in one or two steps using whole numbers. 2. I will perform a single computation using information from a table/chart. 3. I will read tables and graphs. B. Understand concepts and properties. 1. I will have a knowledge of rounding, order of decimals, recognize patterns, absolute value, primes, and greatest common factor. 2. I will work with squares and square roots of numbers. 3. I will work with problems involving positive integer exponents. 4. I will determine when an expression is undefined. C. Write expressions, equations, and inequalities. 1. I will identify an expression for a total as b + g. 2. I will solve equations in the form of x + a = b. 3. I will substitute whole numbers for unknown quantities to evaluate expressions. 4. I will solve one-step equations having integer or decimal answers. 5. I will combine like terms.

7 6. I will evaluate algebraic expressions by substituting integers for unknown quantities. 7. I will add/subtract simple algebraic expressions. 8. I will solve real-world problems using equations. 9. I will write expressions, equations, or inequalities with a single variable for common pre-algebra settings. 10. I will identify solutions to simple quadratic equations. 11. I will add, subtract, and multiply polynomials. 12. I will factor simple quadratics. 13. I will manipulate expressions and equations. 14. I will write expressions, equations, and inequalities for common algebra settings. 15. I will solve linear inequalities that require reversing the inequality sign. 16. I will solve quadratic equations. 17. I will find solutions to systems of linear equations. 18. I will write expressions that require planning and/or manipulating to accurately model a situation D. Demonstrate graphical representations. 1. I will identify the location of a point with a positive coordinate on the number line. 2. I will locate points on the number line and in the first quadrant. 3. I will locate points in the coordinate plane. 4. I will demonstrate knowledge of slope. 5. I will identify the graph of a linear inequality on the number line.

8 6. I will determine the slope of a line from points or equations. 7. I will match linear graphs with their equations. 8. I will interpret and use information from graphs in the coordinate plane. 9. I will match number line graphs with solution sets of linear inequalities. 10. I will analyze and draw conclusions based on information from graphs in the coordinate plane. E. Perform measurements and functions. 1. I will compute the perimeter of polygons when all side lengths are given. 2. I will evaluate quadratic functions, expressed in function notation, at integer values. Social-Emotional Learning Targets A. Develop social awareness and self-management skills around collaboration and Algebra problem-solving. 1. I will be able to work cooperatively and collaboratively with a variety of partners and small groups. 2. I will solve algebra problems in a collaboratively efficient manner. 3. I will rely on my partner/group to solve algebra problems. B. Use self-awareness to gain an understanding of how effort helps to grow the brain. 1. I will understand how working on challenging problems affects the brain. 2. I will understand that intelligence is malleable, not fixed. C. Responsible decision-making skills to understand the role of metacognition in the learning process.

9 1. I will understand the role of effort in the learning process. 2. I will understand that my mindset influences my success in Algebra.

Adlai E. Stevenson High School Course Description

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.