1: Develop algebraic reasoning and number sense.
1.1: Demonstrate an understanding of the absolute value of real numbers.
Rational Numbers, Opposites, and Absolute Values
2: Develop trigonometric reasoning.
2.2: Solve problems, using the three primary trigonometric ratios for angles from 0° to 360° in standard position.
Cosine Function
Sine Function
Tangent Function
3: Develop algebraic and graphical reasoning through the study of relations.
3.1: Factor polynomial expressions of the form:
3.1.a: ax² + bx + c,a is not equal to 0
Factoring Special Products
3.1.b: a²x² − b²y², a is not equal to 0, b is not equal to 0
Factoring Special Products
3.2: Graph and analyze absolute value functions (limited to linear and quadratic functions) to solve problems.
Absolute Value with Linear Functions
Translating and Scaling Functions
3.3: Analyze quadratic functions of the form y = (x − p)² + q and determine the:
3.3.a: vertex
Quadratics in Vertex Form
3.3.c: direction of opening
Quadratics in Vertex Form
3.3.d: axis of symmetry
Quadratics in Vertex Form
3.3.e: x- and y-intercepts.
Quadratics in Vertex Form
Zap It! Game
3.4: Analyze quadratic functions of the form y = ax² + bx + c to identify characteristics of the corresponding graph, including:
3.4.a: vertex
Quadratics in Polynomial Form
3.4.d: axis of symmetry
Quadratics in Polynomial Form
3.4.e: x- and y-intercepts
Graphs of Polynomial Functions
Polynomials and Linear Factors
Quadratics in Factored Form
3.5: Solve problems that involve quadratic equations.
Quadratics in Polynomial Form
Roots of a Quadratic
3.6: Solve, algebraically and graphically, problems that involve systems of linear-quadratic and quadratic-quadratic equations in two variables.
Cat and Mouse (Modeling with Linear Systems) - Metric
Solving Equations by Graphing Each Side
Solving Linear Systems (Matrices and Special Solutions)
Solving Linear Systems (Slope-Intercept Form)
Solving Linear Systems (Standard Form)
3.7: Solve problems that involve linear and quadratic inequalities in two variables.
Compound Inequalities
Quadratic Inequalities
Solving Linear Inequalities in One Variable
Systems of Linear Inequalities (Slope-intercept form)
3.8: Solve problems that involve quadratic inequalities in one variable.
Quadratic Inequalities
3.9: Analyze arithmetic sequences and series to solve problems.
Arithmetic Sequences
Correlation last revised: 11/14/2022