COURSE DESCRIPTION
Common Core Algebra I begins with the fundamentals of algebra. The curriculum includes concepts such as equations, inequalities, descriptive statistics, and relationships between linear, exponential, and quadratic functions. Incorporated throughout the lessons are video tutorials and interactive presentations. Lessons are designed using a best practice model that includes scaffolding, vocabulary, prior knowledge, guided practice, independent practice, and written response opportunities for students to solve, analyze, and evaluate concepts.
CHAPTERS
Ch.1 - Relationships between Quantities and Reasoning with Equations
Using Units
Quantitative Problem Solving
Accuracy of Measurements
Interpreting Expressions
Creating Linear and Exponential Models to Solve Problems
Linear and Exponential Equations
Representing Constraints Using Equations and Inequalities
Solving Formulas and Equations for a Specific Variable
Steps for Solving Algebraic Problems
Solving One Variable Equations and Inequalities
Unit Assessment: Relationships between Quantities and Reasoning with Equations
Ch.2 - Linear and Exponential Relationships
Rational Exponents and Radicals
Systems of Equations
Solving Systems of Equations by Graphing
Solving Systems of Equations by Substitution
Solving Systems of Equations by Elimination
Solutions of an Equation Forming a Curve
Analyzing Systems of Equations
Graphing Linear Inequalities
Systems of Linear Inequalities
Understanding Functions
Evaluating Functions
Recognizing Sequences as Functions
Key Features of Linear and Exponential Functions
Finding Appropriate Domains
Average Rate of Change
Graphing Functions
Comparing Functions
Building Functions
Arithmetic and Geometric Sequences
Family of Functions
Constructing Linear & Exponential Functions
Comparing Linear Growth and Exponential Growth
Interpret Parameters for Linear and Exponential Functions
Unit Assessment: Linear and Exponential Relationships
Ch.3 - Descriptive Statistics
Dot Plots, Histograms, and Box Plots
Comparing Data Sets
Effects of Outliers
Two-Way Frequency Tables
Scatter Plots and Lines of Best Fit
Using the Line of Best Fit
Interpreting the Line of Best Fit
Bivariate Statistics and Linear Regression
Correlation & Causal Relationships
Analyzing Data
Unit Assessment: Descriptive Statistics
Ch.4 - Quadratic Expressions and Equations
Interpreting Parts of an Expression
Equivalent Expressions Involving Exponents
Adding and Subtracting Polynomials
Multiplying Polynomials
Factor Trinomial Expressions
Seeing Structures in Expressions
Factor Polynomial Expressions
Factor to Find the Zeros of a Quadratic Function
Complete the Square to Find Max/Min of Quadratic Function
Creating Quadratic Equations to Solve Problems
Graphing Quadratic Equations and Functions
Rearrange Formulas and Equations Involving Squares
Completing the Square to Solve Quadratic Equations
Four Methods to Solve Quadratic Equations
Roots of Quadratic Equations (Graphically)
Solve Problems Involving Quadratic Equations
Solve Linear-Quadratic Systems Graphically
Solve Linear-Quadratic Systems
Unit Assessment: Quadratic Expressions and Equations
Ch.5 - Quadratic Functions and Modeling
Properties of Rational and Irrational Numbers
Key Characteristics of the Graphs of Quadratic Functions
Domain and Range
Average Rate of Change - Quadratic Functions
Different Forms of Quadratic Functions
Comparing Key Characteristics of Common Functions
Piecewise Functions
Creating Functions
Transformations of Functions
Inverse Functions
Compare Exponential Growth to Linear and Quadratic Growth
Unit Assessment: Quadratic Functions and Modeling
