A: Permutations and Combinations

A.2: To determine the number of permutations of n objects. (nPn=n!)

Permutations and Combinations

A.3: To determine the number of permutations of n different objects, taken r at a time. (nPr)

Permutations and Combinations

A.4: To determine the number of permutations of n objects, not all different.

Permutations and Combinations

A.5: To determine the number of permutations of n objects arranged in a circle.

Permutations and Combinations

A.6: To determine the number of combinations of n objects, taken r at a time.

Binomial Probabilities
Permutations and Combinations

B: Data Analysis

B.1: To list and describe the methods used to collect data.

Describing Data Using Statistics

B.3: To review the methods for determining the measures of central tendency.

Box-and-Whisker Plots
Describing Data Using Statistics

C: Polynomials and Rational Expressions

C.1: To factor the difference of squares of special polynomials.

Factoring Special Products

C.3: To factor polynomials using the factor theorem.

Polynomials and Linear Factors

C.4: To use the remainder theorem to determine the remainder when a polynomial is divided by (x-r).

Dividing Polynomials Using Synthetic Division

D: Exponents and Radicals

D.4: To simplify square root and cube root expressions.

Operations with Radical Expressions
Simplifying Radical Expressions

D.6: To add, subtract, multiply, and divide square root and cube root expressions.

Simplifying Radical Expressions

D.10: To solve radical equations with two unlike radicands.

Operations with Radical Expressions
Radical Functions

E: Relations and Functions

E.6: To solve real-world problems involving quadratic functions by analyzing their graphs.

Quadratics in Polynomial Form

E.7: To graph quadratic functions of the standard form f(x)= a(x-p)² + q, by determining the vertex, axis of symmetry, concavity, maximum or minimum values, domain range, and zeroes.

Quadratics in Vertex Form

E.9: To identify and graph examples of inverse variation taken from real-world situations.

Direct and Inverse Variation

E.11: To determine the constant of proportionality of an inverse relation.

Direct and Inverse Variation

E.12: To solve problems that involve inverse variation.

Direct and Inverse Variation

F: Systems of Linear Equations

F.1: To solve and verify systems of linear equations in two unknowns by the following methods: graphic, substitution, and elimination.

Solving Linear Systems (Standard Form)

F.2: To solve linear systems in two unknowns that have rational coefficients and verify the solutions.

Solving Linear Systems (Standard Form)

F.3: To recognize the characteristics of linear equations in two variables with graphs that are inconsistent, consistent-dependent, or consistent-independent.

Solving Linear Systems (Matrices and Special Solutions)
Solving Linear Systems (Slope-Intercept Form)

F.4: To solve word problems involving linear systems in two variables.

Cat and Mouse (Modeling with Linear Systems) - Metric
Solving Linear Systems (Matrices and Special Solutions)
Solving Linear Systems (Standard Form)

G: Angles and Polygons

G.3: To calculate the distance between two ordered pairs in the coordinate plane.

Distance Formula

G.5: To determine the value of the six trigonometric ratios when given a point on the terminal arm of an angle in standard position. (x, y, r)

Cosine Function
Sine Function
Tangent Function

G.9: To determine the values for the trigonometric ratios by using a calculator.

Sine, Cosine, and Tangent Ratios
Sum and Difference Identities for Sine and Cosine

G.10: To apply the trigonometric ratios to problems involving right triangles.

Cosine Function
Sine Function
Sine, Cosine, and Tangent Ratios
Tangent Function

G.11: To determine the relationships among the sides of each special right triangle (45°-45°-90° and 30°-60°-90°).

Cosine Function
Sine Function
Tangent Function

G.12: To calculate the length of the missing sides of the special right triangles when given the exact value of one side.

Cosine Function
Sine Function
Tangent Function