Middletown Public Schools Algebra 2 Scope and Sequence Unit 1 – Functions and Inverse Functions September/October 20 instructional days (+3 instructional days, 1 testing) Standards Interpreting Functions Interpret functions that arise in applications in terms of the context. Analyze functions using different representations. 5 Weeks Building Functions Build a function that models a relationship between two quantities. Building new functions from existing functions. Reasoning with Equations and Inequalities Understand solving equations as a process of reasoning and explain the reasoning. Unit 2 – Polynomial Functions November/December/January 28 instructional days (+3 instructional days, 1 testing) The Complex Number System Perform arithmetic operations with complex numbers. Use complex numbers in polynomial identities and equations. 7 Weeks Reasoning with Equations and Inequalities Solve quadratic equations in one variable. Creating Equations Create equations that describe numbers or relationships. Interpreting Functions Analyze functions using different representations. Interpret functions that arise in applications in terms of the context. Seeing Structure in Expressions Interpret the structure of expressions. Arithmetic with Polynomials and Rational Expressions Perform arithmetic operations on polynomials. Understand the relationship between zeros and factors of polynomials. Use polynomial identities to solve problems. Unit 3 – Rational Expressions and Functions January/February 12 instructional days (+3 instructional days, 1 testing) Reasoning with Equations and Inequalities Understand solving equations as a process of reasoning and explain the reasoning. Represent and solve equations and inequalities graphically. 3 Weeks Seeing Structure in Expressions Interpret the structure of expressions. Arithmetic with Polynomials and Rational Expressions Rewrite rational expressions. Creating Equations Create equations that describe numbers or relationships. Interpreting Functions Analyze functions using different representations. Building Functions Building new functions from existing functions. Unit 4 – Trigonometric Functions March/April 16 instructional days (+3 instructional days, 1 testing) Interpreting Functions Interpret functions that arise in applications in terms of the context. Analyze functions using different representations. 4 Weeks Building Functions Building new functions from existing functions. Trigonometric Functions Extend the domain of trigonometric functions using the unit circle. Model periodic phenomena with trigonometric functions. Prove and apply trigonometric identities. Creating Equations Create equations that describe numbers or relationships. Unit 5 – Exponential and Logarithmic Functions April/May 16 instructional days (+3 instructional days, 1 testing) Linear, Quadratic, and Exponential Models Construct and compare linear, quadratic, and exponential models and solve problems. Interpret expressions for functions in terms of the situation they model. 4 Weeks Interpreting Functions Interpret functions that arise in applications in terms of the context. Analyze functions using different representations. Seeing Structure in Expressions Interpret the structure of expressions. Write expressions in equivalent forms to solve problems. Creating Equations Create equations that describe numbers or relationships. Building Functions Build a function that models a relationship between two quantities. Build new functions from existing functions. Reasoning with Equations and Inequalities Represent and solve equations and inequalities graphically. Unit 6 – Inferential Statistics May/June 16 instructional days (+3 instructional days, 1 testing) Interpreting Categorical and Quantitative Data Summarize, represent, and interpret data on a single count or measureable variable. 4 Weeks Making Inferences and Justifying Conclusions Understand and evaluate random processes underlying statistical experiments. Make inferences and justify conclusions from sample surveys, experiments, and observational studies.