ALGEBRA 1B GOALS. 1. The student should be able to use mathematical properties to simplify algebraic expressions.

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1 GOALS 1. The student should be able to use mathematical properties to simplify algebraic expressions. 2. The student should be able to add, subtract, multiply, divide, and compare real numbers. 3. The student should be able to identify relations and functions in slope-intercept form, point-slope form, and standard form. 4. The student should be able to graph equations involving absolute value, inequalities and quadratics. 5. The student should be able to solve problems graphically that can be represented by equations or inequalities with and without technology. 6. The student should be able to solve problems algebraically that can be represented by linear and quadratic equations or inequalities. 7. The student should be able to solve systems of equations algebraically and graphically. 8. The student should be able to simplify polynomials using operations (add, subtract, 9. etc.) on polynomials. 10. The student should be able to solve simple interest, percent of increase/decrease, mixture, and proportion problems. 11. The student should be able to factor polynomials. 12. The student should be able to simplify rational expressions. 13. The student should be able to simplify radical expressions. 14. The student should solve open sentences (statements, negations, sets, and subsets).

2 Scope and Sequence Unit Time Frame Solving and Graphing Linear Inequalities Systems of Linear Equations and Inequalities (6 Weeks) Content A. Solve Inequalities using addition or subtractions B. Solve Inequalities using multiplication or division C. Solve Multi-Step inequalities D. Solve Compound Inequalities involving AND E. Solve Compound Inequalities involving OR F. Solve Absolute-value Equations G. Solve Absolute-value Inequalities H. Graph linear Inequalities in Two Variables A. Graph Linear Systems B. Solve Linear Systems by Substitution C. Solve Linear Systems by Linear Combinations D. Linear Systems of Problem Solving E. Special Types of Linear Systems F. Systems of Linear Inequalities State Standards MA g Graph and interpret linear inequalities MA b Represent a variety of quantitative relationships using linear equations and one variable inequalities MA g Solve linear equations and inequalities including absolute value MA h Identify and explain the properties used in solving equations and inequalities MA d Select, apply, and explain the method of computation when problem solving using real numbers (e.g., models, mental computation, paper-pencil, or technology) MA e Graph linear and

3 Exponents and Exponential Functions Polynomials and Factoring (4 Weeks) A. Multiplication Properties of Exponents B. Zero and Negative Exponents C. Graphs of Exponential Functions D. Division Properties of Exponents E. Scientific Notation A. Adding and Subtracting Polynomials B. Multiplying Polynomials C. Special Products of Polynomials D. Factoring Trinomials E. Solve Equations by Factoring non-linear functions MA f Identify and generate equivalent forms of linear equations MA b Distinguish relevant from irrelevant information, identify missing information and either find what is needed or make appropriate estimates MA p Analyze and solve systems of two linear equations in two variables algebraically and graphically M.A b Simplify exponential expressions. MA c Multiply and divide numbers using scientific notation MA b Simplify algebraic expressions involving exponents MA c Add and subtract polynomials MA d Multiply and divide polynomials (e.g., divide x 3 8 by x 2, divide x 4 5x 3 2x by x 2 ) MA e Factor polynomials Rational Expressions and A. Simplifying Rational Expressions M.A b Compare, contrast

4 Equations (4 Weeks) Quadratic Equations and Functions B. Multiplying Rational Expressions C. Dividing Rational Expressions D. Adding and Subtracting with Like Denominators E. Adding and Subtracting with Unlike Denominators A. Square Roots B. Solve Quadratic Equations by finding Square Roots C. Simplifying Radicals D. Graphing Quadratic Functions E. Solving Quadratic Equations by Graphing F. Solving Quadratic Equations by Quadratic Formula G. Using the Discriminant H. Graphing Quadratic Inequalities and apply the properties of numbers and the real number system, including rational, irrational, imaginary, and complex numbers. MA j Add, subtract, and simplify rational expressions MA k Multiply, divide, and simplify rational expressions MA a Demonstrate multiple equivalent forms of irrational numbers. MA a Represent, interpret, and analyze functions with graphs, tables, and algebraic notation and convert among these representations. MA b Identify domain and range of functions represented in either symbolic or graphical form (e.g., linear, non-linear). MA d Identify characteristics of linear and nonlinear functions. MA e Graph linear and non-linear functions. MA c Analyze situations to determine the type of algebraic

5 Radicals and More Connections to Geometry (Time Permitting) A. Functions involving Square Roots B. Operations with Radical Expressions C. Solving Radical Equations D. Rational Exponents E. Completing the Square F. Pythagorean Theorem G. Distance Formula relationship (e.g. linear, nonlinear MA i Solve quadratic equations (e.g., factoring, graphing, quadratic formula) MA e Identify and apply right triangle relationships MA b Apply the midpoint formula MA c Apply the distance formula Materials Textbook - Algebra 1: Concepts and Skills McDougall Littell. Illinois

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