Algebra 2
The following learning targets represent the major concepts studied and assessed in this course.
Semester 1
Unit A
Functions
- A1 Understand function notation and evaluate a function given function notation.
- A2 Identify and interpret key characteristics of functions including domain/range, end behavior, increasing/decreasing intervals, turning points, minimums, maximums, and zeroes.
- A3 Describe the effect of transformation algebraically and graphically, including translations, reflections, and dilations.
Unit B1
Quadratics part 1
- B1.1 Graph quadratic equations and recognize characteristics of graphs.
- B1.2 Solve quadratics using factoring and graphing techniques.
Unit B2
Quadratics part 2
- B2.1 Solve quadratic equations using square roots, including imaginary solutions.
- B2.2 Perform the operations of addition, subtraction, multiplication, and division of complex numbers.
- B2.3 Solve quadratic equations by completing the squares.
- B2.4 Solve quadratic equations by the quadratic formula.
- B2.5 Solve systems of equations with non linear equations.
Unit C
Polynomial Functions
- C1 Create a sketch of a polynomial function from an equation and create a polynomial equation from a graph.
- C2 Identify key features of polynomials (zeros, multiplicity, end behavior, y-intercept, local minimums and maximums, turning points, transformations).
- C3 Apply the fundamental theorem of algebra to be able to state the number of real and complex zeros.
Unit D
Polynomial Equations
- D1 Perform the the operations of addition, subtraction and multiplication of polynomials.
- D2 Factor polynomials including difference and sum of two cubes, grouping and quadratic form.
- D3 Divide polynomials.
- D4 Solve polynomial equations by factoring and/or applying the Remainder Theorem.
Semester 2
Unit E
Rational Exponents and Radical Functions
- E1 Perform operations and simplify/rationalize a radical expression.
- E2 Analyze graphs of radical functions to describe their transformations, domain, and range.
- E3 Find and verify the inverse of a function.
- E4 Solve a radical equation and identify extraneous solutions.
Unit F
Exponential and Logarithmic Functions and Equations
- F1 Analyze the graphs of exponential and logarithmic functions to describe transformations, domain, range, and asymptotes.
- F2 Use exponential and logarithmic equations to solve application problems.
- F3 I can solve exponential and logarithmic equations.
Unit G
Rational Functions and Equations
- G1 Graph rational functions and describe their transformations.
- G2 Simplify rational expressions by performing operations (add, subtract, multiply, divide) or by using exponent rules.
- G3 Solve rational equations and identify extraneous solutions.
Unit H
Statistics
- H1 Determine whether a specified model is consistent with a given data set.
- H2 Use data from a sample survey to estimate a population mean or proportion and recognize the meaning of the margin of error in these estimates.
- H3 Given a data set that is known to be normally distributed, predict what percentage of the data will be above or below a given value that is a multiple of standard deviations above or below the mean.