scope of instruction algebra 2
TRANSCRIPT
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