Determine the number of elements in a sample space using the Fundamental Principle of Counting Discuss the probability of an event Interpret the meaning of the probability of an event…

Define an experiment, an outcome, a sample space, and an event Count the number of occurrences of an outcome in an experiment and organize them using a table, a tree…

Identify quadrilaterals that are parallelograms Determine the conditions that make a quadrilateral a parallelogram Apply the properties of parallelograms to find the measures of their angles, sides, and diagonals

Define parallel and perpendicular lines Illustrate and prove the properties of parallel lines cut by a transversal Prove the conditions under which lines and segments are parallel or perpendicular

Illustrate and prove relations among the angles and sides of a triangle State and prove theorems on triangle inequalities Apply the theorems on triangle inequalities in finding the measures of…

Define and illustrate triangle congruence Investigate congruence of triangles inductively State and illustrate SSS, SAS, ASA, and SAA congruence postulates and theorem Prove congruence of triangles deductively using SSS, SAS,…

Use deductive reasoning in writing formal arguments Write direct and indirect proofs Give and illustrate the undefined terms in geometry Differentiate between postulate and theorem Explain the need for definitions,…

Use patterns and inductive reasoning to make conjectures Write the negation of a statement, and the conjunction and disjunction of two statements Identify the hypotheses and conclusions of if-then statements…

Determine if an ordered pair of numbers is a solution of a linear inequality in two variables Graph a given linear inequality in two variables Find the solution set of…

Translate word problems into systems of linear equations in two variables Use systems of linear equations in two variables in solving word problems

Understand the different methods of solving a system of two linear equations in two variables Solve systems of two linear equations in two variables using the graphical, substitution, and elimination…

Understand what a system of two linear equations in two variables is and its solution(s) Determine if a given ordered pair of numbers is a solution of a system of…

Construct a table of values for a given function Graph a given set of ordered pairs Use the vertical line test on the graph of a given equation to tell…

Define the notation f(x) Determine the value of f(x) given the value of x Perform operations on functions Identify whether a function is odd, even, or neither odd nor even

Define and illustrate a relation and a function Differentiate a function from a relation Identify real-life relationships that are examples of functions and relations Define and describe the domain and…

Graph a linear equation in two variables Name the slope and intercepts of a line Characterize the graph of a linear equation in terms of its intercept and slope Write…

Describe the rectangular coordinate system and its uses Define and illustrate the coordinate axes, the origin, and a point on the coordinate plane Define and illustrate the domain and range…

Add or subtract rational expressions with the same denominator Determine the least common multiple of polynomials Add or subtract rational expressions with unlike denominators Simplify complex rational expressions Solve problems…

Define and illustrate rational expressions State the domain of a given rational expression Simplify rational expressions Multiply and divide rational expressions

Factor a given polynomial completely whenever possible Solving problems involving polynomials and their factors

Identify polynomials that are special products Find special products of polynomials

Define a positive integer exponent Illustrate the laws of positive integer exponents Define the zero exponent and a negative integer exponent Evaluate algebraic expressions involving integer exponents Simplify algebraic expressions…