Algebra I

Geometry

Algebra II

It is expected that these essential learnings be addressed within contexts that promote problem solving, reasoning, communications, making connections (within and outside of mathematics), and designing and analyzing representations.

1.       Analyzes and represents linear functions and solves linear equations and systems of linear equations.

·   Uses algebraic manipulation to solve problems

·   Interprets the meaning of slope and intercepts in the context of a given situation

·   Represents functional relationships using written explanations, situations, tables, equations, and graphs and describes the connections among these representations

·   Uses a variety of methods to solve systems, estimates reasonableness of solutions, models real world phenomena related to linear functions, and relates the solution to pairs of lines

2.       Analyzes and represents quadratic equations to solve problems.

·   Adds, subtracts, and multiplies basic polynomial expressions

·   Applies factoring techniques to quadratic expressions

·   Solves quadratics with rational solutions, estimates reasonableness of solutions, and models real world phenomena related to quadratic functions

3.       Evaluates and simplifies algebraic expressions.

·   Simplifies expressions with positive, negative, and zero exponents (including scientific notation)

·   Simplifies, adds, subtracts, multiplies, and divides square roots

·   Solves problems using Pythagorean Theorem, estimates reasonableness of solutions, and models real world phenomena related to the Pythagorean Theorem

It is expected that these essential learnings be addressed within contexts that promote problem solving, reasoning, communications, making connections (within and outside of mathematics), and designing and analyzing representations.

1.       Analyzes and applies concepts of plane geometry.

·   Applies concepts of right triangles including (Pythagorean theorem, including 30-60-90, 45-45-90; basic trigonometric functions: sine, cosine, tangent)

·   Identifies and applies similarity, congruence, and symmetry.

·   Describes, measures, and applies properties of polygons and circles

·   Classify and analyze angles and their relationships with parallel lines, transversals, and special angle pairs

2.       Analyzes and applies concepts of coordinate geometry.

·   Recognizes and uses translations and reflections to solve transformation questions.

·   Uses coordinate geometry to calculate distance, midpoint, and find equations of lines including parallel and perpendicular

3.       Describes, analyzes and applies properties of 3-dimensional geometry.

·   Calculates volume and surface area of right solids and volume of spheres

·   Applies three-dimensional geometry to answer situational questions and problems

It is expected that these essential learnings be addressed within contexts that promote problem solving, reasoning, communications, making connections (within and outside of mathematics), and designing and analyzing representations.

1.       Graphs (basic / parent) functions and applies concepts to linear, quadratic, absolute value, and radical functions.

2.       Solves equations, inequalities and systems using a method appropriate to the problem situation.

·   Graphing

·   Factoring

·   Quadratic Formula

·   Completing the square

·   Graphing calculator

3.       Performs translations and reflections of linear, quadratic and absolute value functions.

4.       Simplifies rational, exponential, and radical expressions.