XHSC 0963E HS Algebra 2A

Credits: .5

Explores algebraic concepts including functions, graphs, logarithms and inverses, polynomials, and other general systems.

Student Learning Outcomes:

Use mathematical problem-solving techniques involving constant, linear quadratic, power, rational, and exponential functions.
Create algebraic models of real situations using constant, linear, quadratic, power, rational, and exponential functions.
Use inductive reasoning to develop mathematical conjectures involving constant, linear, quadratic, power, rational, and exponential functions. Use deductive reasoning to verify conjectures and to apply mathematical theorems.
Make mathematical connections to, and solve problems from other disciplines involving constant, linear, quadratic, power, rational, and exponential functions.
Use oral and written skills to individually and collaboratively communicate about applications involving constant, linear, quadratic, power, rational, and exponential functions.
Use appropriate technology to solve mathematical problems and to enhance mathematical thinking and understanding of constant, linear, quadratic, power, rational, and exponential functions.

Content Outline

Introduction to Data Relations and Functions
- Graphs and data tables representing functions
- Domain and range of the graph of a function
- Linear model; model breakdown
- Regression line and scatter gram
- Linear systems
- Simplify expressions with exponents
Exponential Functions
- Determine y-intercept
- Determine growth or decay rates
- Approximate equation of exponential curve from given points
- Convert logarithmic equation to exponential form,
- Convert exponential form to logarithmic equation
- Write equations that model growth or decay rates
Parabolas and other Parent Graphs
- Graph Parabolas
- Average intercepts to find the vertex
- Completing the square
- Cubic’s, exponentials, and hyperbolas
- Absolute value