About This Chapter
Who's it for?
This Linear Models unit of our High School Precalculus Homeschool course will benefit any student who is trying to learn about working with linear and quadratic models in math. There is no faster or easier way to learn about linear models. Among those who would benefit are:
- Students who require an efficient, self-paced course of study to learn how to analyze and write algebraic expressions and linear models or apply quadratic models or systems of linear equations to mathematical problems.
- Homeschool parents looking to spend less time preparing lessons and more time teaching.
- Homeschool parents who need a mathematics curriculum that appeals to multiple learning types (visual or auditory).
- Gifted students and students with learning differences.
How it works:
- Students watch a short, fun video lesson that covers a specific unit topic.
- Students and parents can refer to the video transcripts to reinforce learning.
- Short quizzes and the Linear Models unit exam confirm understanding or identify any topics that require review.
Linear Models Unit Objectives:
- Analyze and write algebraic expressions for 2-D geometric figures.
- Evaluate and write real-life linear models.
- Find minimum and maximum values by using quadratic models.
- Apply linear equation systems to breakeven point or market equilibrium problems.
1. Writing & Evaluating Algebraic Expressions for Two-Dimensional Geometric Figures
Learning more about algebraic expressions and geometric figures will help you solve problems that occur in your life. In this lesson, you will use the perimeter of a two-dimensional geometric shape to solve a real-world problem.
2. Writing & Evaluating Real-Life Linear Models: Process & Examples
You make decisions about budgeting and other financial issues using linear models without even realizing it. Learn how to write and evaluate linear models.
3. Applying Systems of Linear Equations to Breakeven Point: Steps & Example
Businesses use breakeven points to determine price and sell products. Learn how to use systems of linear equations with revenue and cost functions to find the breakeven point.
4. Applying Systems of Linear Equations to Market Equilibrium: Steps & Example
Businesses use market equilibrium to determine price and sell products. Learn how to use systems of linear equations to find market equilibrium in this video lesson. Review what you know with a short quiz!
5. Using Quadratic Models to Find Minimum & Maximum Values: Definition, Steps & Example
Minimum and maximum values are found in parabolas that open up or down. In this lesson, learn how to find the minimum and maximum values algebraically and graphically.
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Other chapters within the High School Precalculus: Homeschool Curriculum course
- Graphing Linear Equations: Homeschool Curriculum
- Solving & Graphing Inequalities: Homeschool Curriculum
- Absolute Value Expressions: Homeschool Curriculum
- Graphing Complex Numbers: Homeschool Curriculum
- Solving Linear Systems: Homeschool Curriculum
- Quadratics: Homeschool Curriculum
- Quadratic Functions & Equations: Homeschool Curriculum
- Geometry Basics: Homeschool Curriculum
- Functions for Precalculus: Homeschool Curriculum
- Using Function Operations: Homeschool Curriculum
- Recognizing Graph Symmetry: Homeschool Curriculum
- How to Graph Functions: Homeschool Curriculum
- Rate of Change: Homeschool Curriculum
- Polynomial Functions: Homeschool Curriculum
- Higher-Degree Polynomials: Homeschool Curriculum
- Difference Quotients in Precalculus: Homeschool Curriculum
- Working with Rational Expressions: Homeschool Curriculum
- Evaluating Logarithmic Functions: Homeschool Curriculum
- Functions in Trigonometry: Homeschool Curriculum
- Using Trigonometric Graphs: Homeschool Curriculum
- Trigonometric Equations: Homeschool Curriculum
- Basic Trigonometric Identities: Homeschool Curriculum
- Laws of Sine & Cosine: Homeschool Curriculum
- Graphing Piecewise Functions: Homeschool Curriculum
- Vectors & Matrices: Homeschool Curriculum
- Mathematical Sequences: Homeschool Curriculum
- Identifying Conic Sections: Homeschool Curriculum
- Parametric Equations: Homeschool Curriculum
- Continuity: Homeschool Curriculum
- Limits in Precalculus: Homeschool Curriculum
- Groups & Sets in Algebra: Homeschool Curriculum