Algebra 1

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

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