Level: Standard / College-Prep (Non-Honors)
1. Algebra Foundations & Linear Review
- Order of operations & properties of real numbers
- Solving linear equations & inequalities
- Graphing linear functions
- Function notation, domain & range
- Review of slope & intercepts
- Review key Algebra 1 skills.
- Write and graph linear functions.
- Understand how to describe a function using equations, tables, and graphs.
2. Parent Functions & Transformations
- Identify and graph parent functions: linear, quadratic, absolute value, cubic, square root, and exponential
- Vertical/horizontal shifts
- Reflections over x- and y-axis
- Vertical and horizontal stretches/compressions
- Recognize and graph key parent functions.
- Describe and apply transformations using function notation.
- Compare features of different function types.
3. Quadratic Functions & Equations
- Graphing quadratics in standard and vertex form
- Finding vertex, axis of symmetry, and intercepts
- Solving by factoring, square roots, and quadratic formula
- Real-world applications (projectile motion)
- Solve and graph quadratic equations.
- Analyze the parts of a parabola and their effects.
- Apply quadratics to model motion or area problems.
4. Polynomial Expressions (Simplified)
- Adding, subtracting, and multiplying polynomials
- Simple factoring (GCF and trinomials)
- Recognizing basic cubic and quartic shapes
- Evaluating polynomial expressions
- Perform operations with polynomials.
- Factor basic trinomials.
- Recognize end behavior of polynomial graphs.
5. Rational & Radical Expressions (Intro Level)
- Simplifying rational expressions (no complex denominators)
- Excluded values
- Simplifying square roots and radical expressions
- Solving simple radical equations
- Simplify rational and radical expressions.
- Solve basic equations involving radicals.
6. Exponential & Logarithmic Functions (Basic)
- Rules of exponents
- Exponential growth and decay
- Graphing basic exponential functions
- Introduction to logarithms as inverses
- Evaluating simple logs (no properties)
- Model exponential growth and decay situations.
- Convert between exponential and log forms.
- Graph and interpret simple exponential and logarithmic functions.
7. Systems of Equations, Matrices, & Course Review
- Solving systems of two equations (graphing, substitution, elimination)
- Real-world systems applications
- Course-wide review of function types and transformations
- Solve and interpret systems of linear equations using matrices
- Review connections among all function families.
By the end of this course, students will:
Understand and graph key function families and their transformations.
Solve linear, quadratic, rational, radical, and exponential equations.
Model and interpret real-world problems using functions and graphs.
Strengthen algebraic reasoning to prepare for Precalculus or College Algebra.