1200330

Algebra 2

Units of Study

Broward County Public Schools

Algebra 2 – Units of Study

BCPS - Office of Instruction & Intervention – Algebra 2 (1200330) 2

Mathematical Concepts - Year at a Glance Quarter 1 Quarter 2 Quarter 3 Quarter 4

Foundations for

Functions

- Introduction to Parent Functions - Exploring Transformations - Transforming Linear Functions Quadratic Functions

- Using Transformations to Graph Quadratic Functions - Properties of Quadratic Functions in Standard Form - Solving Quadratic Equations by Graphing and Factoring - Completing the Square - Complex Numbers and Roots - Operations with Complex Numbers - The Quadratic Formula - Solving Quadratic Inequalities Polynomial Functions

- Polynomials - Multiplying Polynomials - Dividing Polynomials - Factoring Polynomials - Finding Real Roots of Polynomial Equations - Fundamental Theorem of Algebra - Investigating Graphs of Polynomial Functions - Transforming Polynomial Functions

Rational and Radical

Functions

- Variation Functions - Multiplying and Dividing Rational Expressions - Adding and Subtracting Rational Expressions - Rational Functions - Solving Rational Equations and Inequalities - Radical Expressions and Rational Exponents - Radical Functions - Solving Radical Equations and Inequalities - Curve Fitting with Linear Models - Curve Fitting with Quadratic Models - Curve Fitting with Polynomial Models - Curve Fitting with Exponential and Logarithmic Models

Exponential and

Logarithmic Functions

- Exponential Functions, Growth and Decay - Logarithmic Functions - Properties of Logarithms - Exponential and Logarithmic Equations and Inequalities - The Natural Base, e - Transforming Exponential and Logarithmic Functions

Properties and Attributes of Functions

- Multiple Representations of Functions - Comparing Functions - Piecewise Functions - Transforming Functions - Operations with Functions - Inverses of Relations and Functions - Functions and Their Inverses - Modeling Real-World Data

Probability

- Permutations and Combinations - Theoretical and Experimental Probability - Independent and Dependent Events - Two-Way Tables - Compound Events

Data Analysis and Statistics

- Measures of Central Tendency and Variation - Data Gathering - Surveys, Experiments, and Observational Studies - Significance of Experimental Results - Sampling Distributions - Binomial Distributions - Fitting to a Normal Distribution - Analyzing Decisions

Sequences and Series

- Introduction to Sequences - Series and Summation Notation - Arithmetic Sequences and Series - Geometric Sequences and Series - Mathematical Induction and Infinite Geometric Series

Trigonometric Functions

- Right-Angle Trigonometry - Angles of Rotation - The Unit Circle - Inverses of Trigonometric Functions - The Law of Sines - The Law of Cosines Trigonometric Graphs

and Identities

- Graphs of Sine and Cosine - Graphs of Other Trigonometric Functions - Fundamental Trigonometric Identities - Sum and Difference Identities - Double-Angle and Half-Angle Identities - Solving Trigonometric Equations

Conic Sections

- Introduction to Conic Sections - Identifying Conic Sections - Circles - Ellipses - Hyperbolas - Parabolas - Solving Nonlinear Systems

Algebra 2 – Units of Study

BCPS - Office of Instruction & Intervention – Algebra 2 (1200330) 3

Quarter 1 – Instructional Scope at a Glance

Chapter 1 - Foundations for Functions 1 Week

1-2 Introduction to Parent Functions (F-BF.2.3) 1-1 Exploring Transformations (F-IF.2.5, F-BF.2.3) 1-3 Transforming Linear Functions (F-BF.2.3)

Chapter 2 - Quadratic Functions 4 Weeks

2-1 Using Transformations to Graph Quadratic Functions (F-IF.3.7a, F-BF.2.3) 2-2 Properties of Quadratic Functions in Standard Form (F-IF.3.7, F-IF.3.7a) 2-3 Solving Quadratic Equations by Graphing and Factoring (F-IF.3.8, F-IF.3.8a) 2-4 Completing the Square (F-IF.3.8, F-IF.3.8a) 2-5 Complex Numbers and Roots (N-CN.1.1) 2-9 Operations with Complex Numbers (N-CN.1.2, N-CN.1.3) 2-6 The Quadratic Formula (N-CN.3.7, A-REI.2.4b) 2-7 Solving Quadratic Inequalities (A-CED.1.1)

Chapter 3 - Polynomial Functions 4 Weeks

3-1 Polynomials (A-APR.1.1, F-BF.1.1b) 3-2 Multiplying Polynomials (A-APR.1.1, A-APR.3.4, A-APR.3.5) 3-3 Dividing Polynomials (A-APR.2.2) 3-4 Factoring Polynomials (A-APR.2.2) 3-5 Finding Real Roots of Polynomial Equations (A-APR.2.3, F-IF.1.2, F-IF.3.7c) 3-6 Fundamental Theorem of Algebra (N-CN.3.9, A-SSE.1.2, A-APR.2.2) 3-7 Investigating Graphs of Polynomial Functions (F-IF.3.7c, F-BF.2.3) 3-8 Transforming Polynomial Functions (F-BF.2.3)

Algebra 2 – Units of Study

BCPS - Office of Instruction & Intervention – Algebra 2 (1200330) 4

Chapter 1 Standards Deconstructed Interpreting Functions – Cluster 3

MAFS.9-12.F.IF.3.7a

Algebra 2 – Units of Study

BCPS - Office of Instruction & Intervention – Algebra 2 (1200330) 5