Textbook: enVisions Algebra 2
Materials Checklist for Advanced Algebra:____ (1) Graphing Calculator A TI-83 plus or TI-84 Graphing Calculator is required for this course and higher level math courses.
____ (1) 3-ring binder or folder (this is to organize your notes and work)
____ Red Pens (at least one)
____ Notebook Paper and Graph Paper (you may also print graph paper if necessary)
____ Colored Pencils/Highlighters (optional)
Learning Objectives: This course is the study of functions, including a quick review of linear and quadratic functions. We continue with higher order polynomials, exponential, logarithmic, rational, and trigonometric functions. The year ends with a study of probability and statistics.
I can interpret key features of linear, quadratic, and absolute value functions given an equation or a graph.
I can apply transformations to graph functions and write equations.
I can graph and interpret piecewise-defined functions.
I can interpret arithmetic sequences and series.
I can use graphs and tables to approximate solutions to algebraic equations and inequalities.
I can use a variety of tools to solve systems of linear equations and inequalities.
I can solve systems of equations using matrices.
I can identify key features of quadratic functions.
I can write and graph quadratic functions in standard form.
I can find the zeros of quadratic functions.
I can solve problems with complex numbers.
I can solve quadratic equations by completing the square.
I can use properties of exponents to solve equations with rational exponents.
I can describe and graph exponential functions.
I can use exponential functions to model situations and make predictions.
I can identify and describe geometric sequences.
I can perform, analyze and use transformations of exponential functions.
I can determine whether a linear, exponential, or quadratic functions best models a data set.
I can predict the behavior of polynomial functions.
I can add, subtract, and multiply polynomials.
I can prove and use polynomial identities.
I can divide polynomials.
I can model and solve problems using the zeros of a polynomial function.
I can use roots of a polynomial equation to find other roots.
I can identify symmetry in and transform polynomials
I can use inverse variation and graph translations of the reciprocal function.
I can graph rational functions.
I can find the product and quotient of rational functions.
I can find the sum or difference of rational expressions.
I can solve rational equations and identify extraneous solutions.
I can relate roots and rational exponents and use them to simplify expressions and solve equations.
I can use properties of exponents and radicals to simplify radical expressions.
I can graph and transform radical functions.
I can solve radical equations and inequalities.
I can perform operations on functions to answer real-world questions.
I can recognize the key features of exponential functions.
I can write exponential models in different ways to solve problems.
I can evaluate and simplify logarithms.
I can graph logarithmic functions and find equations of the inverses of exponential and logarithmic functions
I can use properties of logarithms to rewrite expressions.
I can solve exponential and logarithmic equations.
I can identify, write, and use geometric sequences and series.
Standards of Mathematical Practice:
The student will:
Make sense of problems and persevere in solving them.
Reason abstractly and quantitatively.
Construct viable arguments and critique the reasoning of others.
Model with mathematics.
Use appropriate tools strategically.
Attend to precision.
Look for and make sense of structure.
Look for and express regularity in repeated reasoning.
All math courses are designed to meet the requirements of the WLWV Mathematics Curriculum and the Oregon State Standards.