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High School
Algebra 1/Algebra 1 Honors
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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.
Major Topics and Concepts
- Module 1: Algebra Basics
- Algebraic Expressions
- Solving One-Variable Equations
- Creating One-Variable Equations
- One-Variable Inequalities
- One-Variable Compound Inequalities
- Literal Equations
- Module 2: Linear Functions
- Relations and Functions
- Evaluating Functions
- Key Features of Linear Functions
- Writing Linear Functions
- Comparing Linear Functions
- Module 3: Exponential Functions
- Exponents and Radicals
- Exponential Equations and Functions
- Key Features of Exponential Functions
- Graphing Exponential Functions
- Sequences
- Exploring Linear and Exponential Functions
- Module 4: Systems 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
- Module 5: Statistics
- Representing Data
- Comparing Data Sets
- Data Sets and Outliers
- Two-Way Frequency Tables
- Scatter Plots and Line of Best Fit
- Correlation and Causation
- Module 6: Polynomial Operations
- Characteristics of Polynomials
- Adding and Subtracting Polynomials
- Multiplying and Dividing Monomials
- Multiplying and Dividing Polynomials
- Function Composition
- Module 7: Factoring and Graphing Polynomials
- Greatest Common Factor
- Factoring by Grouping
- Factoring Trinomials
- Difference of Perfect Squares
- Graphing Polynomial Functions
- Module 8: Quadratic Functions
- Graphing Quadratic Functions
- Completing the Square
- Applications of Quadratic Functions
- Comparing Quadratic Functions
- Exploring Nonlinear System and Growth
Competencies
Algebra Fundamentals
Students will demonstrate an understanding of algebra fundamentals by analyzing algebraic expressions, and solving equations and inequalities.
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.
Exponential Functions
Students will demonstrate an understanding of exponential functions simplifying exponents and radicals and analyzing graphs of exponential 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.
Statistical Analysis
Students will demonstrate an understanding of statistical analysis by analyzing data sets and visual representations of data and explaining correlation and causation.
Polynomial Operations
Students will demonstrate an understanding of polynomial operations by analyzing characteristics of polynomials and performing operations with polynomials.
Factoring and Graphing Polynomials
Students will demonstrate an understanding of factoring and graphing polynomials by analyzing factoring methods and graphs of polynomial functions.
Quadratic Functions
Students will demonstrate an understanding of quadratic functions by analyzing graphs of quadratic functions, using factoring to solve quadratics, and analyzing quadratic function applications.
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Projects allow students to demonstrate competence and understanding of concepts and skills by completing a career-related task. For example, the assignment might be to create a mural, a package design, a speech, a film review, or a movie set – you name it! These creative projects are about applying your learning acquired through in-depth research to real-world career tasks.
Each competency will be addressed through a project that is based on a real-life career task. Here are the careers you will explore: Marketing Manager, Head Chef, Consumer Loan Officer, Small Business Owner, Sport Scout, Agricultural Manager, Civil Engineer, and Track Coach.
Projects
Marketing Manager
You will take on the role of a Marketing Manager for a radio station tasked with creating a rate sheet.
Head Chef
You will take on the role of a Head Chef tasked with creating a report, highlighting the cost of new products and pricing to diners.
Consumer Loan Officer
You will take on the role of a consumer loan officer for a credit union, tasked with creating a packet with different loan options for your new customers.
Small Business Owner
You will take on the role of a small business owner tasked with creating a bank loan application.
Sport Scout
You will take on the role of a scout for a sports team, tasked with creating a recommendation for an athlete swap for the team’s general manager.
Agricultural Manager
You will take on the role of an agricultural manager for a farmer tasked with creating a plan for a theoretical rectangular farming field incorporating the Golden Ratio.
Civil Engineer
You will take on the role of a civil engineer, tasked with creating calculations for designing a new roller coaster.
Track Coach
You will take on the role of a track coach for a college, tasked with creating a presentation explaining how projectile motion works both visually and mathematically.
Competencies
Algebra Fundamentals
Students will demonstrate an understanding of algebra fundamentals by analyzing algebraic expressions, and solving equations and inequalities.
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.
Exponential Functions
Students will demonstrate an understanding of exponential functions simplifying exponents and radicals and analyzing graphs of exponential 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.
Statistical Analysis
Students will demonstrate an understanding of statistical analysis by analyzing data sets and visual representations of data and explaining correlation and causation.
Polynomial Operations
Students will demonstrate an understanding of polynomial operations by analyzing characteristics of polynomials and performing operations with polynomials.
Factoring and Graphing Polynomials
Students will demonstrate an understanding of factoring and graphing polynomials by analyzing factoring methods and graphs of polynomial functions.
Quadratic Functions
Students will demonstrate an understanding of quadratic functions by analyzing graphs of quadratic functions, using factoring to solve quadratics, and analyzing quadratic function applications.
