For the study of Algebra II, Mooresville High School has developed 3 overarching core strands. These strands have been aligned to the North Carolina Standard Course of Study for Algebra II. Each strand is also aligned with enduring understandings and essential questions related to the study of Algebra II. ALGEBRA II Core Strands: 1. Functions and Relations 2. Systems of Equations/Inequalities 3. Matrices Enduring Understandings and Essential Questions The enduring understandings related to each strand are core concepts, principles and theories that serve as a focal point for instruction and assessment. The enduring understandings also help in the transferring of ideas to other relevant and related topics and inquiries in the study of Algebra II. The essential questions have been designed to assess student background knowledge, determine if students are mastering and applying the skills and core concepts related to the course and to promote further inquiry. The answers to these core questions should be supported with evidence from students through course content, classroom research, discussions, and experiences. These questions should be re-visited throughout the course to reinforce the key concepts and to help students develop a clear understanding of the topics.
Curriculum Pacing Guide: ALGEBRA II Course of Study : Algebra 2 Core Strand: Functions and Relations Level: 9-12 Time Frame: 60 days NC SCOS Goal Enduring Understandings Essential Questions 1.03 A set of data may be characterized by patterns in multiple ways with the use of Algebra. What can you predict from data presented in graphs, charts, tables and algebraic functions? 2.04-2.09 Graphs can be used as visual representations to investigate relationships between quantitative data. What information can you interpret from the graph? 2.02,2.03 A function is a relation for which there is a unique output for each input. How do you determine if a relation is a function? Skills Key Content Students will identify various methods to solve relations and functions. Students will interpret multiple representations of relations and functions. Students will apply relations and functions to real life situations. Properties and Operations with real numbers Equations and inequalities in one variable Slope of a line Best fitting line Absolute value functions Quadratic functions Resources/Text Correlation Instructional Strategies/Best Practices Key Criteria/Benchmarks for Success Glencoe Algebra 2 Textbook http://teachers.henrico.k12.va.us/math/hcpsalgebra2/ integration of the graphing calculator into the collaborated chapter tests with a cumulative daily lessons and activities review section
Course of Study : Algebra 2 Core Strand: Systems of Equations/Inequalities Level: 9-12 Time Frame: 10 days 2.1 NC SCOS Goal Enduring Understandings Essential Questions Systems of equations models and arranges data in What does the data represent in the equations? an organized manner. 2.10 Systems can be used to graphically represent/ predict solutions in real life situations. What predictions/outcomes can be interpreted from the graph? Skills Key Content Students will discuss and describe the best method of solving the system of equations and inequalities. Students will analyze graphs of systems of equations and inequalities. systems of linear equations in two variables systems of linear inequalities linear equations in three variables number of solutions of a linear system real-life problems with functions of two variables Students will identify the significance and relationships of systems of equations and inequalities to real life situations and experiences. Resources/Text Correlation Instructional Strategies/Best Practices Key Criteria/Benchmarks for Success Glencoe Algebra 2 Textbook http://www.uen.org/lessonplan/preview.cgi?lpid=19849 http://teachers.henrico.k12.va.us/math/hcpsalgebra2/ integration of the graphing calculator into the collaborated chapter tests with a cumulative daily lessons and activities review section graphing using various methods: paper and pencil, calculator, laptop grapher
Curriculum Pacing Guide: ALGEBRA II Course of Study : Algebra 2 Core Strand: Matrices Level: 9-12 Time Frame: 8 days NC SCOS Goal Enduring Understandings Essential Questions 1.04 Matrices are a tool for organizing and displaying data. When is using a matrix an efficient tool? A relationship occurs between arithmetic operations and operations with matrices. How do you preform matrix operations? Matrix patterns can be related to a real life situation. How do you make predictions from matrix patterns? Skills Students will operate with matrices to model and solve problems. Students will discuss and analyze the similarities between the properties of matrices and the properties of the real number system. Key Content Matrix operations Determinant of a matrix Inverse of a matrix Systems of linear equations Systems of equations to solve real life problems Students will perform matrix operations by hand and with a graphing calculator. Resources/Text Correlation Instructional Strategies/Best Practices Key Criteria/Benchmarks for Success Glencoe Algebra 2 Textbook http://teachers.henrico.k12.va.us/math/hcpsalgebra2/ integration of the graphing calculator into the daily lessons and activities graphing using various methods: paper and pencil, calculator, laptop grapher collaborated chapter tests with a cumulative review section
Algebra 2 Pacing Guide Equations & Inequalities & Functions Day 1- Real Numbers & Operations & Expressions(1.1/1.2) 1.03 Day 2 Solving Linear Equations / Formulas(1.3/1.4) 1.03, 1.05 Day 3 Making Algebraic Models/ Inequalities(1.5/1.6) 1.05 Day 4 Absolute Value Equations & Inequalities/ Review(1.7) 2.08 Day 5 Functions & Graphs/ Slope(2.1/2.2) 1.03 Day 6 Graphs of Linear Equations/ Ineqalities(2.3/2.6) Prereq. Day 7 Writing Linear Equations(2.4) 1.05 Day 8 Best fit lines and correlation(2.5) 2.04 Day 9 Piecewise Functions(2.7) Prereq. Day 10 Absolute Value Functions/ Review(2.8) 2.08 Day 11- Test Systems of Linear Equations/Inequalities Day 1 Solve by graphing(3.1) 2.10 Day 2 Solving Algebraically(3.2) 2.10 Day 3 Solving Linear Inequalities(3.3) 2.10 Day 4 Linear Programming(3.4) 2.10 Day 5 Solving system in 3 variables(3.6) 2.10 Day 6 Reteach & Review Day 7 Test / Matrix Operations (4.1) 1.04 Matrix and Determinants Day 1 Multiplying Matrices(4.2) 1.04 Day 2 Determinants & Cramer s Rule(4.3) 1.04, 2.10 Day 3 Identity & Inverse Matrices(4.4) 1.04 Day 4 Solving systems with Inverse Matrices(4.5) 1.04, 2.10 Day 5 Reteach & Review Day 6- Test/ Graphing Quadratics(5.1) 2.02, 2.09 Quadratic Functions Day 1 Solve by Factoring(5.2) 1.03, 2.02, 2.09 Day 2 Solve by Finding Square Root(5.3) 1.03, 2.02, 2.09 Day 3 Complex Numbers(5.4) 1.02 Day 4 Completing the Square(5.5) 1.02, 2.02, 2.09 Day 5 Discriminant & Quadratic Formula(5.6) 1.02, 2.02, 2.09 Day 6 Solving Quadratic Inequalities(5.7) 2.02 Day 7 Modeling with Quadratic Functions(5.8) 2.02, 2.04 Day 9 Test
Curriculum Pacing Guide: ALGEBRA II Polynomials Day 1 Properties of Exponents(6.1) 1.03 Day 2 Evaluating & Graphing Poly. Functions(6.2) 2.06 Day 3 Operations with Polynomials(6.3) 1.03, 2.06 Day 4 Solving by Factoring (6.4) 1.03, 2.06 Day 5 Finding Zeros(6.5/6.6) 1.03, 2.06 Day 6 Fundamental Theorem of Algebra(6.7) 1.02, 1.03, 2.06 Day 7 Modeling with Polynomials(6.9) 2.04, 2.06 Day 9 Midterm End of Quarter Powers, Roots, & Radicals Day 1 nth Root & Rational Exponents(7.1) 1.01, 2.07 Day 2&3 Properties of Rational Exponents(7.2) 1.01, 1.03 Day 4 Power Functions(7.3) 1.01, 2.01 Day 5 Inverse Functions(7.4/7.5) 2.01, 2.07 Day 6 Solving Radical Equations(7.6) 2.07 Day 7 Statistics(7.7)/ Review Day 8 Test Exponential & Logarithmic Functions Day 1 Exponential Growth(8.1) 2.03 Day 2 Exponential Decay (8.2) 2.03 Day 3 The number e(8.3) 1.01, 2.03 Day 4 Logarithmic Functions(8.4) 1.01, 2.01, 2.03 Day 5 Properties of Logarithms(8.5) 1.01 Day 6 Solving Exponential & Logarithmic Functions(8.6) 1.01, 2.03 Day 7 Modeling with Exponential & Power Functions(8.7) 2.04 Day 9 Test Rational Equations & Functions Day 1 Inverse & Joint Variation(9.1) 1.05 Day 2 Graphing Simple Rational Functions(9.2) 2.05 Day 3 Graphing General Functions(9.3) 2.05 Day 4 Multiplying & Dividing Rational Functions(9.4) 1.03, 2.05 Day 5 Addition, Subtraction, & Complex Fractions(9.5) 1.03, 2.05 Day 6 Solving Rational Equations(9.6) 1.03, 2.05 Day 7 Review & Reteach Day 8 Test/ Start Distance & Midpoint(10.1) 1.03
Conic Sections Day 1 Placement Test/ Finish Distance & Midpoint(10.1) 1.03 Day 2 Parabolas(10.2) 2.09 Day 3 Circles(10.3) 2.09 Day 4 Ellipses(10.4) 2.09 Day 5 Hyperbolas(10.5) 2.09 Day 6 Classifying Conic Sections(10.6) 2.09 Day 7 Solving Quadratic Systems(10.7) 2.09, 2.10 Day 9 Test Extra Pascal s Trinagle & Binomial Thm.(12.2) 1.03 Mooresville High School Review EOC