A: Irrational Numbers
A.2: To express square root radicals as mixed radicals in simplest form.
Simplifying Radical Expressions
A.3: To add, subtract, multiply, and divide square root radicals.
Simplifying Radical Expressions
A.4: To rationalize monomial denominators.
Simplifying Radical Expressions
B: Consumer Mathematics
B.3: To calculate the monthly interest charges and service charges on an unpaid credit card balance.
Compound Interest
B.8b: To determine the percent of the total amount repaid (or borrowed) which is devoted to interest.
Compound Interest
C: Polynomials and Rational Expressions
C.1: To factor polynomials of the following types: common factor, grouping, difference of squares, trinomial squares, trinomials where a=1, a not equal to 1, and combinations of all preceding types.
Factoring Special Products
Modeling the Factorization of ax2+bx+c
Modeling the Factorization of x2+bx+c
C.2: To divide a polynomial by a binomial, by factoring, and long division.
Dividing Polynomials Using Synthetic Division
C.4: To simplify variable expressions with integral exponents using the following properties of exponents: product, quotient, power of a product, power of a quotient, negative exponent, and zero exponent.
Dividing Exponential Expressions
Exponents and Power Rules
Multiplying Exponential Expressions
Simplifying Algebraic Expressions II
D: Quadratic Functions
D.1: To define a quadratic function.
Addition and Subtraction of Functions
Quadratics in Factored Form
Quadratics in Polynomial Form
Quadratics in Vertex Form
Roots of a Quadratic
Translating and Scaling Functions
Zap It! Game
D.2: To identify, graph, and determine the properties of quadratic functions of the following forms:
D.2.2: f(x)=x²+q
Quadratics in Factored Form
D.2.4: f(x)=a(x-p)² + q
Quadratics in Vertex Form
D.3: To determine the domain and range from the graph of a quadratic function.
Exponential Functions
D.4: To analyze the graphs of quadratic functions that depict real-world situations.
Quadratics in Polynomial Form
D.5: To solve problems involving the graphs of quadratic functions that depict real-world situations.
Quadratics in Polynomial Form
E: Quadratic Equations
E.1: To solve quadratic equations by:
E.1.a: factoring, and
Modeling the Factorization of x2+bx+c
Quadratics in Factored Form
E.2: To calculate the exact value of the length of a side of a right triangle using the Pythagorean Theorem.
Cosine Function
Pythagorean Theorem
Pythagorean Theorem with a Geoboard
Sine Function
Tangent Function
E.5: To solve problems that involve equations which contain radicals.
Operations with Radical Expressions
F: Probability
F.1: To list the sample space and events for a random experiment.
Binomial Probabilities
Geometric Probability
Independent and Dependent Events
Probability Simulations
Theoretical and Experimental Probability
F.2: To calculate the experimental probability of simple events by performing repeated experiments.
Binomial Probabilities
Geometric Probability
Independent and Dependent Events
Probability Simulations
Theoretical and Experimental Probability
G: Angles and Polygons
G.1: To informally and formally construct congruent angles and congruent triangles.
Constructing Congruent Segments and Angles
Constructing Parallel and Perpendicular Lines
G.2: To determine the properties of congruent triangles.
Congruence in Right Triangles
Constructing Congruent Segments and Angles
Proving Triangles Congruent
G.3: To identify and state corresponding parts of congruent triangles.
Congruence in Right Triangles
Proving Triangles Congruent
Similar Figures
G.4: To determine whether triangles are congruent by SSS, SAS, ASA, AAS, or HL.
Congruence in Right Triangles
Constructing Congruent Segments and Angles
Proving Triangles Congruent
G.7: To prove corresponding parts of congruent triangles are congruent.
Congruence in Right Triangles
Proving Triangles Congruent
Similar Figures
G.8: To identify similar polygons.
Perimeters and Areas of Similar Figures
Similar Figures
Similarity in Right Triangles
G.9: To determine the measure of corresponding angles in two similar polygons.
Congruence in Right Triangles
Perimeters and Areas of Similar Figures
Proving Triangles Congruent
Similar Figures
Similarity in Right Triangles
G.10: To calculate the scale factor of two similar polygons.
Dilations
Perimeters and Areas of Similar Figures
Similar Figures
G.11: To calculate the length of a missing side of two similar polygons.
Perimeters and Areas of Similar Figures
Similar Figures
G.12: To show that two triangles are similar by the Angle Angle Similarity Theorem. (Postulate in some resource texts).
Similar Figures
G.13: To calculate the length of a missing side in two similar right triangles.
Pythagorean Theorem
Pythagorean Theorem with a Geoboard
G.14: To solve problems involving similar triangles, and other polygons.
Similar Figures
H: Circles
H.2: To determine the relationship that exists between the following:
H.2.3: Chords and arcs in the same circle or in congruent circles.
Chords and Arcs
Inscribed Angles
Correlation last revised: 9/16/2020