## Mathematics

This is a year long course that requires selection of both semesters: S1 and S2 An overview of the math that is needed to be a successful consumer in the real world, including balancing a bank statement, using credit wisely, problem-solving strategies, and creating and using a budget. Typically for students with significant learning disabilities in math or students with cognitive disabilities who are able to show basic understanding of math concepts like adding, subtracting, multiplying, and dividing.

This is a year long course that requires selection of both semesters: S1 and S2. First semester will focus on the development of basic math skills needed to be successful in future math courses. Second semester focuses on algebra readiness skills that will assist students in the move to Algebra class for the next school year

This is a year long course that requires selection of both semesters: S1 and S2. Teacher recommendation, MAP Scores and Grades. This course generally covers the same topics as the first semester of Algebra I, including the study of properties of rational numbers (i.e., number theory), ratio, proportion, and estimation, exponents and radicals, the rectangular coordinate system, sets and logic, formulas, and solving first degree equations and inequalities.

This is a year long course that requires selection of both semesters: S1 and S2. Algebra 1B is the course designed to follow Algebra 1A. It will generally cover the same material as the second semester of Algebra 1, including the study of Graphing Linear Inequalities, Displaying Multi-Variable Categorical Data, Quantitative Data and Scatterplots, Solving and Modeling Systems of Linear Equations, Performing Operations on Polynomials, and Factoring and Solving Quadratic Equations.

This is a year long course that requires selection of both semesters: S1 and S2. Gateway Technical College””Pre-Algebra or successful completion of 8th grade mathematics””. Provide students with a basis for advanced mathematics and aid them in solving mathematical problems. The course uses modern terminology as it applies to Algebra. Topics covered are: one- and two-step percent word problems, percent change, average, simple probability, counting techniques in probability, place value, number lines and the coordinate plane, multi-step equations, parallel lines, area and perimeter, unit conversion, representing data in multiple ways, pattern identification, manipulation of algebraic expressions, slope and linear graphing, angle properties, area of geometric figures, and function notation. The course focuses on the 400 level problems and extends into the 500 level problems for the ACT College Readiness Standards. A scientific calculator is required for this course (we recommend the TI30XIIS or graphing calculator TI84).

- Evaluate expressions using properties and the order of operations
- Solve complex linear equations
- Write and graph linear equations in different forms including standard form and slope intercept form
- Simplify polynomial expressions by using properties of exponents
- Solve systems of equations by using graphing, substitution, and elimination methods
- Solve and graph one-step inequalities
- Factor polynomial expressions
- Solve quadratic equations by factoring or using the quadratic formula

This is a year long course that requires selection of both semesters: S1 and S2. Students will review and strengthen their basic computational skills with all types of numbers. Many areas of mathematics will be explored including Algebra, Geometry, Trigonometry and Statistics as they relate to the technical trades. Practical applications and real life applications of mathematics in the trade industries will be learned. Students will apply useful equations and formulas in real life problem solving situations.

**Outcomes:**

- Perform operations on whole numbers, fractions, decimals, and signed numbers
- Use proportions and percents to solve appropriate real-world problems
- Use English and Metric units of measure and tools such as rulers, micrometers, and calipers
- Perform unit conversions
- Solve one-step and multi-step equations and formulas
- Convert numbers from standard to scientific notation and back
- Calculate perimeter, circumference, and area of polygons and circles
- Calculate volume and surface area of 3-dimensional figures
- Use trigonometry and Pythagorean theorem to solve right triangles
- Solve systems of equations
- Solve quadratic equations
- Read and construct displays of data
- Use appropriate measures of central tendency

This is a year long course that requires selection of both semesters: S1 and S2. The purpose of this course is to develop logic, measurement and problem solving skills necessary for continued study of mathematics. Students will develop the ability to find connections between physical shapes and algebra. An emphasis of this course is on Euclidean geometry, logic skills of problem solving, and applications of algebra.

**Outcomes:**

- Understand properties of parallel and perpendicular lines
- Understand properties of segments and angles
- Write and graph linear equations
- Prove triangles congruent and similar using appropriate theorems
- Understand properties of polygons
- Use trigonometry and special right triangles to solve triangles
- Understand vocabulary and equations of circles
- Calculate area and perimeter of 2-D shapes and surface area and volume of 3-D shapes

This is a year long course that requires selection of both semesters: S1 and S2. This course is designed to build on math concepts introduced in Algebra and Geometry and to prepare students for advanced mathematics. This course covers problems more complex than those of Algebra I. Students study equations and inequalities, linear relations and functions, systems of equations and inequalities, simplifying and factoring polynomials, simplifying radicals, an introduction to complex numbers, solving quadratic equations, and exploring the conics, and logarithms.

**Outcomes:**

- Recognize and graph special functions such as step graphs and absolute values
- Solve systems of equations by graphing, substitution, and elimination
- Perform operations on matrices
- Simplify and perform operations on complex polynomials, radical expressions, and complex numbers
- Factor polynomial expressions
- Solve simple radical equations
- Graph, solve, and analyze quadratic equations by graphing, completing the square, factoring, and quadratic formula
- Graph and write equations for parabolas, circles, ellipses, hyperbolas, and conic sections
- Solve quadratic systems
- Understand properties, perform operations, and solve logarithmic and exponential expressions and equations

This is a year long course that requires selection of both semesters: S1 and S2. This is a project based course designed to introduce students to the four themes of statistics, exploring data, sampling and experimentation, anticipating patterns and statistical inference. Real world applications will be a primary emphasis. Students will also be incorporating the use of technology and problem solving skills.

**Outcomes:**

- Construct and interpret distributions with graphs, charts, and tables
- Describe and compare distributions
- Calculate numerical summaries by hand and using technology
- Describe and interpret locations in a distribution (z-scores, percentiles, etc.)
- Perform Normal distribution calculations including assessing normality
- Construct and interpret scatterplots
- Measure, calculate, and interpret correlation and a least square regression line -Interpret computer output
- Describe different sampling methods (stratified, cluster, etc.)
- Conduct simple random samples (using a random number table and technology)
- Design comparative experiments (completely randomized, randomized block, and matched pairs designs)
- Use rules of probability to construct venn diagrams, two-way tables, and determine probabilities
- Apply the concept of discrete random variables to many different statistical settings
- Calculate the expected values of a discrete random variable
- Describe continuous random variables
- Compute probabilities involving binomial and geometric random variables

This is a year long course that requires selection of both semesters: S1 and S2. Calculus prepares students for more advanced study in mathematics, science and other fields. The course begins with an extensive study of limits and uses this concept to develop differentiation and integration of polynomial, trigonometric, and logarithmic functions. A study is conducted in the application areas of science and economics using differentiation and integration. This course will cover most topics found in first semester college course, but at a slower pace and not as in depth as Advanced Placement Calculus. Students are required to have a TI 83 or comparable calculator.

**Outcomes:**

- Calculate limits graphically, algebraically, and numerically
- Find horizontal and vertical asymptotes
- Analyze continuity of a function
- Analyze instantaneous and average rate of change
- Understand the link between derivatives and instantaneous rate of change
- Use the appropriate method to calculate a derivative
- Use derivatives to calculate real world rates of change and apply these derivatives appropriately
- Use derivatives to analyze a function
- Estimate the area under the curve with finite sums
- Understand the connection between antiderivatives and integrals
- Use the appropriate method to calculate an antiderivative
- Use antiderivatives to calculate volume and other applications

This is a year long course that requires selection of both semesters: S1 and S2. This course will explore functions and their behavior and to prepare students for advanced study in mathematics. This course will explore Linear, Polynomial, Rational, Exponential, Logarithmic and Trigonometric Functions. The graphs of these functions will be studied and graphing calculators will be used to further develop an understanding of these functions and graphs. Systems of equations and inequalities will also be studied. A TI-83 or TI-84 graphing calculator is required for this course.

**Outcomes:**

- Graph piecewise functions, rational functions, linear and polynomial inequalities
- Solve systems of equations by using the graphing calculator
- Use linear programming procedures to solve real-world applications
- Determine the continuity, end behavior, critical points and extrema of relations using the graphing calculator.
- Locate zeros of polynomial functions
- Use the unit circle to determine the value of trigonometric functions
- Find side or angle measure by using the law of sines and the law of cosines
- Graph and identify important characteristics of trigonometric function
- Verify trigonometric identities including sum, difference, double-angle, and half-angle identities
- Solve trigonometric equations
- Solve exponential and logarithmic equations
- Describe characteristics of the arithmetic, geometric, and infinite series
- Determine whether series are convergent or divergent
- Count sample spaces by using permutations and combinations
- Use matrices to solve systems of equations
- Compute probabilities including compound events and conditional probabilities

This is a year long course that requires selection of both semesters: S1 and S2. Accelerated College Advanced Program AP Calculus prepares students for more advanced study in mathematics, science and other fields.The course begins with an extensive study of limits and uses this concept to develop differentiation and integration of polynomial, trigonometric, and logarithmic functions. An extensive study is conducted in the application areas of science and economics using differentiation and integration. This course will cover the equivalent of the first semester college course. Students enrolling in this course are required to take the Advanced Placement Test for Calculus AB in May. Students are required to have a TI 83 or comparable calculator.

**Outcomes:**

- Calculate limits graphically, algebraically, and numerically
- Find horizontal and vertical asymptotes
- Analyze continuity of a function
- Analyze instantaneous and average rate of change
- Understand the link between derivatives and instantaneous rate of change
- Use the appropriate method to calculate a derivative
- Use derivatives to calculate real world rates of change and apply these derivatives appropriately
- Use derivatives to analyze a function
- Estimate the area under the curve with finite sums
- Understand the connection between antiderivatives and integrals
- Use the appropriate method to calculate an antiderivative
- Use antiderivatives to calculate volume and other applications

AP Calculus BC is roughly equivalent to both first and second semester (single variable) college calculus courses. Calculus BC is an extension of Calculus AB.

This is a year long course that requires selection of both semesters: S1 and S2. Accelerated College Advanced Program AP Statistics will introduce students to the major concepts and tools for collecting, analyzing, and drawing conclusions from data. The main topics will include exploring data, planning a study, anticipating patterns, and statistical inference. All topics will be studied extensively with the use of graphing calculators and computer software. Students are expected to take the Advanced Placement exam in May. Ample time will be provided to review exam topics prior to AP Exam. A TI-83 or TI-84 graphing calculator is required for this course.

**Outcomes:**

- Construct and interpret distributions with graphs, charts, and tables
- Describe and compare distributions
- Calculate numerical summaries by hand and using technology
- Describe and interpret locations in a distribution (z-scores, percentiles, etc.)
- Perform Normal distribution calculations including assessing normality
- Construct and interpret scatterplots
- Measure, calculate and interpret correlation and a least square regression line
- Interpret computer output Describe different sampling methods (Stratified, Cluster, etc.)
- Conduct simple random samples (using a random number table, and technology)
- Design comparative experiments (completely randomized, randomized block, and matched pairs designs)
- Use rules of probability to construct venn diagrams, two-way tables and determine probabilities
- Apply the concept of discrete random variables to many different statistical settings
- Calculate the expected values of a discrete random variable
- Describe continuous random variables
- Compute probabilities involving binomial and geometric random variables
- Define and distinguish between population distribution, sampling distribution, and the distribution of sample data
- Estimate a population proportion and mean using confidence intervals
- Interpret confidence intervals in context
- Conduct significance tests with populations proportions and means
- Conduct chi-square goodness of fit tests