Algebra 2, Semester 1 60 Multiple Choice Questions Textbook Topic Standards Questions Ch 1, Sec 1-3, 6-7

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1 Washoe County School District Algebra 2 Semester 1, Test Blueprint and Information The blueprint shows the recommended organization of the multiple-choice math final. It is expected that teachers will construct an additional free response section to be given on exam day or on a previous day so that topics not easily tested in a multiple-choice format may be assessed. Instructions for preparing calculators for testing will be made available through the department lead. See the Course Guide for additional information on topics and standards for this course. An approved Test Reference sheet and other resources will be made available through the WCSD website. Algebra 2, Semester 1 60 Multiple Choice Questions Textbook Topic Standards Questions Ch 1, Sec 1-3, 6-7 Classify Numbers WA WA prerequisite skills/concepts Solve Linear Equations WA *Chapter 1 reviews prerequisite skills necessary for new or *see note advanced course concepts introduced in later chapters; new and advanced concepts and skills will be assessed on the semester exam; see later textbook chapters Ch 8, Sec 1 Inverse and Joint Variation WA Ch 2, Sec 1-5, 7-8 Ch 3, Sec 1-8 Equations of Lines (Parallel & Perpendicular) Solve and Graph Linear Inequalities/Equations & Systems Translations of Absolute Values Solving Systems with 3 variables WA WA WA WA questions Ch 4, Sec 1-8, 10 Matrix Operations Matrix Interpretation *(assessment questions will focus on Matrix operations; problems may be in context) Parabolas Max/Min Solving Quadratic Equations WA WA WA * WA WA questions Complex Number Operations WA questions Classifying Numbers *embedded skill/concept; indicator not assessed on semester exam Quadratic Translations WA WA *see note Ch 5, Sec 2-5 Graphing Parabolas Polynomial Equations WA WA questions Synthetic/Long Division WA Perfect Cubes WA

2 Algebra 2, Course Guide: Semester 1 WA Classify numbers into the various number families in the complex number system. 1.1 Identify subsets of the Real Numbers 4.6 Classification of Complex Numbers WA Perfom operations on complex numbers and graph complex numbers. 1.2 Like Terms 4.6 Operations w/complex Numbers WA Solve mathematical and practical problems involving direct, inverse and joint variations. 2.5 Direct Variation 8.1 Inverse & Joint Variation

3 Algebra 2, Course Guide: Semester 1 WA Write an equation for the perpendicular line (or parallel line) that goes through a point not on the line. 2.2 Slope Formula 2.2 Parallel & Perpendicular Slopes 2.3 Graph Equations of Lines 2.4 Write Equations of Lines WA Translate among verbal descriptions, graphic and algebraic representations to solve systems of linear equations and inequalities. WA Write and describe functions using translations and transformations of the following parent functions: quadratic, absolute value, and cubic. -includes systems of inequalities 1.6 Linear Inequalities 2.8 Linear Inequalities w/2 variables 3.1 Linear Systems by Graphing 3.2 Solve Linear Systems Algebraically 2.7 Absolute Value 4.1 Quadratic translation/transformation Prerequisite Chapter 2 Sec 3-5 Prerequisite Chapter 1 Section 7

4 Algebra 2, Course Guide: Semester 1 WA Solve systems of equations with three unknowns algebraically and graph the solution. Review: 3.1 Linear Systems by Graphing 3.2 Solve Linear Systems Algebraically New: 3.3 Graph Linear Systems of Inequalities 3.4 Linear Equations w/3 Prerequisite Chapter 1 Section 3 WA With technology, use and find solutions to matrix multiplication, the inverse and the determinant of a square matrix. WA Without technology, know the procedure to find: solutions to matrix multiplication, the inverse of 2x2 matrix. WA Organize data in a matrix, and interpret the result when using matrix multiplication. Variables Review: 3.5 Basic Matrix Operations New: 3.6 Multiplying Matrices 3.7 Evaluate Determinant-no Cramer's Rule 3.6 Matrix Multiplication 3.7 Determinant 3.8 Inverse of 2x2 3.8 Problem Solving w/matrices

5 Algebra 2, Course Guide: Semester 1 WA Find the maximum or minimum using quadratics in practical situations. Find the maximum and minimum values of parabola in mathematical and practical situations. Chapter 4 Section 1 Calculator Activity pg 244 Maximum/Minimum of a Parabola WA Solve quadratic equations by factoring, completing the square, and by using the quadratic formula to find real solutions. WA Write equations and translations of circles and parabolas Factoring Quadratics 4.5 Simplifying Radicals (reference) 4.6 Operations w/complex Numbers 4.7 Completing the Square 4.8 Quadratic Formula/Discriminant 4.2 Graph Quadratic Functions in Vertex or intercept form 4.10 Write Quadratic Functions and models

6 Algebra 2, Course Guide: Semester 1 WA Poly Functions; Synthetic Division; End Behaviors Know the procedure and use long synthetic division with polynomials. Use the factor and remainder theorems to evaluate and verify real solutions. WA Solve polynomial equations for real solutions given one root or factor. WA Know and use perfect cubes to 125 and perfect cubes of 1,000 in mathematical and practical situations. - End Behavior -Shape of graph 5.5 Remainder & Factor Theorems 5.2 Evaluate/Graph Poly Functions 5.3 Add, Subtract & Multiply Polynomials 5.4 Chapter 5 Section 4 Sum/difference of cubes

7 Washoe County School District Algebra 2 Semester 2, Test Blueprint and Information The blueprint shows the recommended organization of the multiple-choice math final. It is expected that teachers will construct an additional free response section to be given on exam day or on a previous day so that topics not easily tested in a multiple-choice format may be assessed. Instructions for preparing calculators for testing will be made available through the department lead. See the Course Guide for additional information on topics and standards for this course. An approved Test Reference sheet and other resources will be made available through the WCSD website. Algebra 2, Semester 2 60 Multiple Choice Questions Textbook Topic Standards Questions Ch 6, Sec 1-6 and Extension 6.6 Evaluate Radical Expressions Simplify Radical Expressions WA WA Function Composition and Function Notation WA Inverse Functions WA Solve Radical Equations and Inequalities WA Cubic Functions Translation/Transformations WA Ch 7, Sec 1-6 Ch 5, Sec 1 Domain/Range of Radical Functions Domain/Range of Log and Exponential Functions Evaluate Exponential Expressions WA WA WA question 1 question Simplify Exponential and Log Functions WA Solve Log and Exponential Functions WA Ch 8, Sec 2-6 and Extension 8.6 Compound Formulas (Interest) Domain/Range of Rational Functions Graph Rational Functions WA WA WA Simplify Rational Expressions WA Ch 9, Sec 1-3 Solve Rational Equations and Inequalities Parabolas Equations/Translations Circles Equations/Translations WA WA questions Ch 10, Sec 1-5 Conditional Probabilities/Binomial Probabilities WA Venn Diagrams Union/Intersection WA Ch 11, Sec 1, 3 Organize and Solve using Venn Diagrams WA Probability using Normal Distribution WA

8 Algebra 2, Course Guide: Semester 2 WA Evaluate radical expressions and exponential expressions with and without rational exponents. 6.1 Evaluate nth Roots and Use Rational Exponents WA Simplify rational and radical expressions. Vocabulary: Rational Expressions 4.5 Simplifying Radicals 6.2 Radicals Rational Operations Prerequisite Ch 4 Sec 5 WA Know, use and combine functions using mathematical operations and composition of functions in function notation form. WA Find the inverse of a linear function and verify if the inverse is a function using compositions. WA Solve radical equations or inequalities; solve rational equations or inequalities. 6.3 Perform Function Operations and Composition 6.4 Use Inverse Functions Exploring Inverse Activity p Radical Equations Extension p Rational Equations Extension p598 Include Domain Inequalities are located in extensions at the end of the chapters

9 Algebra 2, Course Guide: Semester 2 WA Write and describe functions using translations and transformations of the following parent functions: quadratic, absolute value, and cubic. 6.5 Graph Square root and Cube root Functions WA Determine the domain and range from the graph of cubic, rational, radical, exponential, and logarithmic functions using interval, set, and inequality notation. 6.5 Cubic and Radical Graphs Exponential/Logarithmic Graphs Rational Graphs Translations/transformations for cubic functions Prerequisite Chapter 2 Section 1 Standard addressed throughout the semester Supplement for interval & set notation. (See Precalculus text pages ) WA Simplify expressions using properties of exponential or logarithmic functions. WA Use logarithmic and exponential properties to solve mathematical equations involving logarithmic and exponential functions. INCLUDE 5.1 Exponent Properties 7.3 Exponential Functions 7.4 Evaluate Logs 7.5 Properties of Logs 7.6 Solve Equations

10 Algebra 2, Course Guide: Semester 2 WA Solve practical financial problems involving compounded interest, effective yield and continuous compounding formulas. Chapter 7 Sections 1-6 WA Graph rational functions, including vertical and horizontal asymptotes and holes. WA Write equations and translations of circles and parabolas. Include all conic sections Focus on identifying, completing the square, and translations of the conic sections 8.2 Simple Graphs 8.3 General Graphs Chapter 4 Section 2 Chapter 4 Section 10 Chapter 9 Sections Simplifying Radicals (reference) Incorporate financial problems throughout Chapter 7, located at end of homework problems

11 Algebra 2, Course Guide: Semester 2 WA Find conditional probabilities and find binomial probabilities Provide Prerequisite skills need for 10.5/ Conditional Probability 10.6 Binomial Probability is WA Create a Venn diagram to illustrate intersections and unions of events in practical situations. WA Organize data and solve problems using Venn diagrams. WA Find the probability of an event given that the data is normally distributed and the mean and standard deviation are known. Binomial Experiment Chapter 10 Section 4 Extension p715 Chapter 10 Section 4 plus Extension p Mean/Standard Deviation 11.3 Normal Distribution Use Venn Diagrams to teach compound events Supplement Creating Venn Diagrams