Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you!
Systems of equations and inequalities
What happens when we have many variables but also many constraints.
Functions and their graphs
Revisiting what a function is and how we can define and visualize one.
Polynomial and rational functions
Exploring quadratics and higher degree polynomials. Also in-depth look at rational functions.
You have probably been wondering whether our powers of algebraic problem solving break down if we divide by the variable or we have entire expressions in denominator of a fraction. Well, they don't! In this topic, you'll learn how to interpret and manipulate rational expressions (when you have one algebraic expression divided by another)!
Exponential and logarithmic functions
A look at exponential and logarithmic functions including many of their properties and graphs.
Log-a-what? No, this tutorial is about neither chopped wood nor music (actually logarithms do have applications in music), but it is fascinating nonetheless. You know how to take an exponent. Now you can think about what exponent you have to raise a number to to get another number. Yes, I agree--unstoppable fun for the whole family. No, seriously, logarithms are used everywhere (including to measure earthquakes and sound).
Imaginary and complex numbers
Understanding and solving equations with imaginary numbers.
A detailed look at shapes that are prevalent in science: conic sections
- Matrices (8 videos)