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
Correlation last revised: 9/16/2020