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: 9/24/2019

This correlation lists the recommended Gizmos for this province's curriculum standards. Click any Gizmo title below for more information.