Prerequisite: Algebra 1A Completed with a Passing Score

1B SYLLABUS: This is the second year of a two year algebra course required for graduation. The culmination of the course will be a regents exam that is also a graduation requirement. The following topics are the new topics for the algebra common core curriculum that will be addressed this year. Once these topics are completed, the remainder of the year will be spent on preparing for our regents exam.

Prerequisite: Algebra 1A completed with a passing score

Polynomial and Quadratic Expressions:

Quadratic Expressions, Equations, Functions, and Their Connection to Rectangles (A-SSE.A.1, A-SSE.A.2, A-SSE.B.3a, AAPR.A.1, A-CED.A.1, A-CED.A.2, A-REI.B.4b, A-REI.D.11, F-IF.B.4, F-IF.B.5, F-IF.B.6, F-IF.C.7a

Using Different Forms for Quadratic Functions N-RN.B.3, A-SSE.A.1, A-SSE.A.2, A-SSE.B.3a, A-SSE.B.3b, A-APR.B.3, A-CED.A.1, A-CED.A.2, A-REI.B.4, F-IF.B.4, F-IF.B.6, F-IF.C.7a, F-IF.C.8a

Function Transformations and Modeling (A.CED.A.2, F-IF.B.6, F-IF.C.7b, F-IF.C.8a, F-IF.C.9, F-BF.B.3)

Multiplying and Factoring Polynomial Expressions

Advanced Factoring Strategies for Quadratic Expressions

The Zero Product Property

Solving Basic One-Variable Quadratic Equations

Creating and Solving Quadratic Equations in One Variable

Exploring the Symmetry in Graphs of Quadratic Functions

Graphing Quadratic Functions from Factored Form, f(x)=a(x-m)(x-n)

Completing the Square

Solving Quadratic Equations by Completing the Square

Deriving the Quadratic Formula

Using the Quadratic Formula

Graphing Quadratic Equations from the Vertex Form, y=ax-h2+k

Graphing Quadratic Functions from the Standard Form, fx=ax2+bx+c

Graphing Cubic, Square Root, and Cube Root Functions

Translating Functions

Stretching and Shrinking Graphs of Functions

Transformations of the Quadratic Parent Function, fx=x2

Comparing Quadratic, Square Root, and Cube Root Functions Represented in
Different Ways

Modeling with Quadratic Functions

Statistics:

Shapes and Centers of Distributions (S-ID.A.1, S-ID.A.2, S-ID.A.3)

Describing Variability and Comparing Distributions (S-ID.A.1, S-ID.A.2, S-ID.A.3)

Categorical Data on Two Variables (S-ID.B.5, S-ID.C.9)

Numerical Data on Two Variables (S-ID.B.6, S-ID.C.7, S-ID.C.8, S-ID.C.9)

Distributions and Their Shapes

Describing the Center of a Distribution

Estimating Centers and Interpreting the Mean as a Balance Point

Summarizing Deviations from the Mean

Measuring Variability for Symmetrical Distributions

Interpreting the Standard Deviation

Measuring Variability for Skewed Distributions (Interquartile Range)

Comparing Distributions

Summarizing Bivariate Categorical Data

Summarizing Bivariate Categorical Data with Relative Frequencies

Conditional Relative Frequencies and Association

Relationships Between Two Numerical Variables

Modeling Relationships with a Line

Interpreting Residuals from a Line

More on Modeling Relationships with a Line

Analyzing Residuals

Interpreting Correlation

Analyzing Data Collected on Two Variables