Course: Algebra II
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1 Topic: Problem Solving, Reasoning
Standard: Solves problems throughout this course that involve:
-selecting appropriate approaches and tools,
-using estimating strategies to predict computational results, and
-judging reasonableness of results.
2 Topic: Problem Solving, Reasoning
Standard: Solves problems that relate concepts to other concepts and to practical applications using tools such as scientific or graphing calculators and computers.
3 Topic: Algebraic Expressions, Properties of Real Number System
Standard: Identifies and lists the properties of the real number system in algebraic proofs.
4 Topic: Linear Equations and Inequalities
Standard: Solves formulas for one variable.
[5] Topic: Linear Equations and Inequalities, Absolute Value Equations and Inequalities
Standard: Solves and graphs linear inequalities in one variable, including compound inequalities and absolute value equations and inequalities.
6. Topic: Relations, Functions, and Graphs
Standard: - Identifies and graphs linear equations in two variables, including vertical and horizontal lines,
- Writes equations for lines using various combinations of required information (such as slope, intercepts, points on the line.)
7 Topic: Relations, Functions, and Graphs
Standard: Identifies, defines, and graphs relations, and states their domain and range.
[8] Topic: Relations, Functions, and Graphs
Standard: Identifies relations that are functions.
-Names functions by using multiple representations.
-Defines functions, draws their graphs, and evaluates f(x) for given values of x, including the absolute value function.
[9] Topic: Relations, Functions, and Graphs
Standard: Determines the composition of two functions, using multiple representations, such as f(g(x)) or (f og)(x).
[10] Topic: Relations, Functions, and Graphs
Standard: Identifies inverse of relations and determines if the inverse relation is a function. (Algebraically and graphically.)
11 Topic: Systems of Linear Equations and Inequalities
Standard: Determines the number of solutions for a system of linear equations; recognizes the system as consistent (dependent or independent) or inconsistent.
12 Topic: Systems of Linear Equations and Inequalities
Standard: Solves systems of linear equations in two and three variables using a variety of methods.
13 Topic: Systems of Linear Equations and Inequalities
Standard: Graphs systems of linear inequalities in two variables and determines the solution region.
14 Topic: Rational Expressions
Standard: Simplifies expressions containing integral exponents using the laws of exponents.
[15] Topic: Rational Expressions
Standard: Simplifies, multiplies, divides, adds, and subtracts rational expressions, including dividing polynomials.
16 Topic: Rational Expressions
Standard: Solves rational equations.
17 Topic: Rational Expressions
Standard: Solves problems using rational equations, including proportions, rate, and variation (direct, inverse, or joint) problems.
18 Topic: Irrational and Complex Numbers
Standard: Determines real or imaginary nth roots of real numbers.
[19] Topic: Irrational and Complex Numbers
Standard: Simplifies radical expressions and their products, quotients, sums and differences, including rationalizing denominators by using properties of radicals.
20 Topic: Irrational and Complex Numbers
Standard: Evaluates expressions with fractional exponents, and uses fractional exponents to simplify radical expressions.
[21] Topic: Irrational and Complex Numbers
Standard: Solves radical equations with one or two radical terms.
22 Topic: Irrational and Complex Numbers
Standard: Defines a complex number and its additive inverse, conjugate, and absolute value.
23 Topic: Irrational and Complex Numbers
Standard: Adds, subtracts, multiplies, and divides complex numbers.
[24] Topic: Quadratic Equations and Functions
Standard: Solves quadratic equations using various methods including factoring, completing the square, the quadratic formula, and graphing tools.
25 Topic: Quadratic Equations and Functions
Standard: Analyzes the nature of the roots of quadratic equations by using the discriminant and the relationship between roots and coefficients.
[26] Topic: Quadratic Equations and Functions
Standard: Graphs quadratic functions and determines their maximum or minimum values, the number of zeros, and whether the zeros are real or imaginary.
27 Topic: Quadratic Equations and Functions
Standard: Solves problems using quadratics, such as problems involving motion and maximum/minimum values.
-Makes predictions from collected data using regression techniques.
28 Topic: Polynomial Functions
Standard: Determines quotients of polynomials using appropriate techniques (monomial divisor, long or synthetic division) or graphing tools.
29 Topic: Polynomial Functions
Standard: Applies the following theorems to polynomial equations: Remainder, Factor, Rational Root, and the Fundamental Theorem of Algebra.
30 Topic: Polynomial Functions
Standard: Approximates real roots of polynomial equations by using calculators or computers.
31 Topic: Analytical Geometry
Standard: Recognizes and sketches the graphs of and the relationships among conic sections.
32 Topic: Analytical Geometry
Standard: Recognizes the graph of an inverse variation as a hyperbola and solves problems involving both direct and inverse variation.
33 Topic: Exponential and Logarithmic Functions
Standard: Applies the definition and properties of logarithms to evaluate logarithms.
34 Topic: Exponential and Logarithmic Functions
Standard: Recognizes and applies the inverse relationship of logarithms and exponential functions and graphs each function.
35 Topic: Exponential and Logarithmic Functions
Standard: Determines values of common and natural logarithms and antilogarithms using a calculator.
-Applies the change of base rule.
36 Topic: Exponential and Logarithmic Functions
Standard: Solves exponential and logarithmic equations.
37 Topic: Exponential and Logarithmic Functions
Standard: Solves problems that use exponential and logarithmic equations, such as those involving growth, decay, and compound interest.
-Makes predictions from collected data using regression techniques.