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### Estimated Completion Time

2 segments / 32-36 weeks

### Overview

Algebra I is the foundation—the skills acquired in this course contain the basic knowledge needed for all future high school math courses. The material covered in this course is important, but everyone can do it. Everyone can have a good time solving the hundreds of real-world problems algebra can help answer. Course activities make the numbers, graphs, and equations more real. The content in this course is tied to real-world applications like sports, travel, business, and health.

This course is designed to give students the skills and strategies to solve all kinds of mathematical problems. Students will also acquire the confidence needed to handle everything high school math has in store for them. Algebra 1 emphasizes the importance of algebra in everyday life through hundreds of real-world examples. Assessments are designed to ensure that your understanding goes beyond rote memorization of steps and procedures. Upon successful course completion, you will have a strong foundation in Algebra I and will be prepared for other higher-level math courses.

### Segment 1:

• Module 1Algebra Basics
• Algebraic Expressions
• Solving One-Variable Equations
• Creating One-Variable Equations
• One-Variable Inequalities
• One-Variable Compound Inequalities
• Literal Equations
• Module 2Linear Functions
• Relations and Functions
• Evaluating Functions
• Key Features of Linear Functions
• Writing Linear Functions
• Comparing Linear Functions
• Module 3Exponential Functions
• Exponential Equations and Functions
• Key Features of Exponential Functions
• Graphing Exponential Functions
• Sequences
• Exploring Linear and Exponential Functions
• Module 4Systems of Equations and Inequalities
• Solving Systems of Equations  Graphically
• Solving Systems of Equations Algebraically
• Equivalent Systems
• Solving Systems of Equations Approximately
• Two-Variable Linear Inequalities
• Systems of Linear Inequalities

### Segment 2

• Module 5Statistics
• Representing Data
• Comparing Data Sets
• Data Sets and Outliers
• Two-Way Frequency Tables
• Scatter Plots and Line of Best Fit
• Correlation and Causation
• Module 6Polynomial Operations
• Characteristics of Polynomials
• Multiplying and Dividing Monomials
• Multiplying and Dividing Polynomials
• Function Composition
• Module 7Factoring and Graphing Polynomials
• Greatest Common Factor
• Factoring by Grouping
• Factoring Trinomials
• Difference of Perfect Squares
• Graphing Polynomial Functions
• Completing the Square
• Exploring Nonlinear System and Growth

## Career

Consumer Loan Officer

Open

3-4 weeks

### Competency

Exponential Functions: Students will demonstrate an understanding of exponential functions by applying analytical and graphical methods to simplify, solve, and analyze problems involving exponents.

### Project

You are a consumer loan officer at a local bank or credit union, and it is your job to guide consumers to find the best loans based on their personal financial information. You are most frequently asked to help customers find loans for home mortgages, cars, and college tuition. Although most of the process is fully automated, it is also your job to educate the customer and provide them with a variety of viable options in multiple representations so they can make the best, most informed decision.

Your current customers need a new car and would like your help in choosing the best car loan option to fit their financial needs. Using exponential functions, you will model various loan options for your customers to analyze.

## Career

Open

3-4 weeks

### Competency

Inequalities: Students will demonstrate an understanding of inequalities by applying graphical and analytic methods to analyze and solve inequalities involving one or two variables.

### Project

You are a radio account executive for a local radio station and are responsible for prospecting and closing sales with potential advertising clients. Your radio station also has the capabilities to help customers produce their own ads to air during radio programs.

To meet your radio station’s advertising goals, you will create a rate sheet for potential clients by determining the types and quantities of advertising that will be most effective while still being profitable for your radio station. Using inequalities, you will examine how your rates could potentially affect the station’s revenue. To accomplish this, you will develop rate sheets for clients based on your analysis from the graphs you create.

## Career

Open

3-4 weeks

### Competency

Linear Equations: Students will demonstrate an understanding of linear equations by applying graphical and analytic methods to analyze and solve problems modeled by linear equations.

### Project

You are a head chef at a restaurant and are responsible for designing the menu, calculating the costs of preparation, and properly pricing the menu. To stay competitive with other local restaurants, you have decided to add some new items to the menu.

While maximizing the restaurant’s profits is always your goal, you must ensure that your patrons can afford these new dishes as well. You will use linear equations to price these new menu items in more than one way, to analyze your menu items, and to account for price increases. Finally, you will create a report for the restaurant owner highlighting your new products, their cost, and price to diners.

## Career

Agricultural Manager

Open

3-4 weeks

### Competency

Polynomial Functions and Factoring: Students will demonstrate an understanding of polynomial functions and factoring by applying analytic methods to simplify, perform arithmetic operations, and solve problems.

### Project

You are an Agricultural Manager for an organic farmer who believes that his crops will grow most efficiently if the Golden Ratio is integrated in his field planning. It is your job to ensure that the crop plan aligns with this philosophy so that production and profit are maximized. You have been asked by the farmer to create a field plan for a theoretical rectangular farming field that incorporates the Golden Ratio.

## Career

Civil Engineer

Open

3-4 weeks

### Competency

Quadratic Equations: Students will demonstrate an understanding of quadratic equations by applying graphical and analytic methods to analyze and solve problems modeled by quadratic equations.

### Project

You are a civil engineer responsible for the design and construction of bridges as well as the analysis of pre-existing structures.

For your next project, you have been asked to will redesign an existing bridge or to design a bridge for a location that needs one. In your design, you will model two bridge plans using quadratic functions and analyze these functions as they relate to specifications of the bridge and the surrounding features.

## Career

Sports Scout

Open

3-4 weeks

### Competency

Statistics: Students will demonstrate an understanding of statistical analysis of univariate and bivariate data sets through analytical analysis and visual representations of data sets.

### Project

You are a scout for a professional athletic team and you have been asked to make trade recommendations based on statistical analysis. The analysis will be used to show the general manager why this particular trade will be successful to the team based on statistics.

As a scout, you want your general manager to understand what the statistics insinuate about the players and ultimately what cannot always be seen by watching videos and attending games. You will use statistics to compare two players in order to make a trade recommendation. You will display your results tabularly, graphically, and statistically.

## Career

Open

3-4 weeks

### Competency

Systems of Equations: Students will demonstrate an understanding of systems of equations by applying graphical and analytic methods to analyze and solve systems of equations in two variables.

### Project

You are the sole proprietor of a small business. As the owner, you are responsible for accurately calculating costs and revenue for the business and products. You must also set competitive prices that attract consumers. Before opening this business, you have many decisions to make regarding its profitability.

• How many items must you sell in order to break-even?
• Is it worth it or too risky?

In order to make these decisions this, you will:

• Make adjustments to ensure that this venture is successful.

### Competencies

• Algebra Fundamentals
Students will demonstrate an understanding of algebra fundamentals by analyzing algebraic expressions, and solving equations and inequalities.
• Exponential Functions
Students will demonstrate an understanding of exponential functions simplifying exponents and radicals and analyzing graphs of exponential functions.
• Linear Functions
Students will demonstrate an understanding of linear functions by analyzing relations and functions, analyzing graphs of linear functions, and solving linear equations and functions.
• Systems of Equations and Inequalities
Students will demonstrate an understanding of systems of equations by analyzing methods of solving systems of equations and linear equalities.
• Factoring and Graphing Polynomials
Students will demonstrate an understanding of factoring and graphing polynomials by analyzing factoring methods and graphs of polynomial functions.
• Polynomial Operations
Students will demonstrate an understanding of polynomial operations by analyzing characteristics of polynomials and performing operations with polynomials.