BayTech-Oakland courses can be classified in four categories: Mandatory courses, AP courses, required electives, and additional electives . In grades 9-12 each student must complete 230 credits (180 credits of mandatory courses and 50 credits of required electives) for graduation.
Enrollment in AP classes: Students may enroll in an AP class through one of the followings:
- Completing all prerequisites with at least a B+ each and getting recommendation letters from the prerequisite class teachers.
- If enrolled in the school in the current year: Passing a certain score on a qualification test given by the AP Course teacher to prove that s/he has necessary skills in the prerequisite of the AP course.
MATH COURSES
Algebra 1
(Annual Course)
Prerequisites: None
Text: Algebra 1, McDougal Littell
Course Description:
Algebra I is a two semester course that provides students with a solid background in algebra and that prepares them for all higher-level math courses.
Curriculum:
Students will be able to:
Identify and use mathematic properties of subset and integers and rational, irrational and real numbers
Understand closure properties for the four basic arithmetic operations
Use properties of numbers to demonstrate whether assertions are true or false
Understand and use operations of finding the reciprocal, taking a root and the opposite, and raising to a fractional power
Understand the rules of exponents
Solve equations and inequities involving absolute values
Simplify expressions before solving problems
Solve multi-step problems involving linear equations and linear inequalities in one variable, showing justification
Graph a linear equation and compute the x- and y- intercepts
Able to sketch the region defined by linear inequalities
Verify that a point lies on a line, given an equation of the line
Derive linear equations by using the point-slope formula
Concepts of parallel and perpendicular lines and how their slopes are related
Find the equation of a line perpendicular to a given line that passes through a given point
Solve a system of two linear equations in two variables algebraically and interpret the answer graphically
Solve a system of two linear inequalities in two sets and sketch the solution sets
Add, subtract, multiply and divide monomials and polynomials
Solve multi-step problems, including word problems using subtraction, multiplication and division of monomials and polynomials
Apply basic factoring techniques to second- and simple third-degree polynomials.
Simplify fractions with polynomials in the numerator and denominator
Add, subtract, divide and multiply rational expressions and functions
Solve a quadratic equation by factoring or completing the square
Apply algebraic techniques to solve rate and work problems, and percent mixture
Understand the concepts of relation and a function and how they work in relation to one another
Determine the domain of independent and dependent variables defined by a graph, a set of ordered pairs or a symbolic expression
Determine whether a relation defined by a graph, a set of ordered pairs or a symbolic expression is a function and justify the conclusion
Know the quadratic formula and are familiar with its proof
Can complete the square with a quadratic formula
Can use the quadratic formula to find the roots of a second-degree polynomial and how to solve quadratic equations
Graph quadratic functions
Understand the root of quadratic function graphing is at the x-intercepts
Use quadratic formula or factoring technique (or both) to determine whether the graph of a graph of a quadratic function will intersect the x-axis in zero, one, or two points
Apply quadratic equations to physical problems, such as the motion of an object under the force of gravity. Students will visit with a guest speaker from JPL to discuss the use of Algebra in Space Science.
Use and know the simple steps of a logical argument. This study will integrate into their Social Science and Language Arts classes in the study of logical proofs and political arguments.
Use the properties of the number system to judge the validity of the results, to justify each step of the procedure, and to prove or disprove statements
Algebra 2
(Annual Course)
Prerequisites: Algebra 1
Text: Algebra 2, McDougal Littell
Course Description:
Algebra II expands the content and concepts of Algebra I and Geometry.
Curriculum:
Students will know and be able to use:
- Solve equations and inequalities involving absolute value
- Solve systems of linear equations and inequalities in two or three variables by substitution, with graphs, or with matrices
- Adept at operations on polynomials, including long division
- Factor polynomials representing the difference of squares, perfect square trinomials, and the sum and difference of two cubes
- How real and complex numbers are related both arithmetically and graphically
- Plot complex numbers as points in the plane
- Add, subtract, multiply and divide complex numbers
- Add, subtract, multiply and divide, reduce and evaluate rational expressions with monomial and polynomial denominators
- Simply complicated rational expressions
- Solve and graph quadratic equations by factoring, completing the square, or using the quadratic formula
- Apply the above techniques in solving word problems
- Solve quadratic equations in the complex number system
- Demonstrate and explain the effect that changing a coefficient has on the graph of quadratic functions
- Graph quadratic functions (determining the maxima, minima, and zeros of the function
- Prove simple laws of logarithms
- Laws of fractional exponents
- Exponential functions involved in growth and decay
- Define logarithms to translate between logarithms in any base
- Properties of logarithms to simplify logarithmic numeric expressions and to identify their approximate values
- Truth of a specific algebraic station involving rational expressions, radical expressions or logarithmic or exponential functions
- Geometry of the graph of a conic section depends on the coefficients of the quadratic equation representing it
- Method for completing the square to put equations into standard form
- Fundamental counting principles to compute combinations and permutations and probabilities
- Binomial theorem to expand binomial expressions that are raised to positive integer powers
- Apply method of mathematical induction to prove general statements about positive integers
- Find the general term and the sums of arithmetic series and of both finite and infinite geometric series
- Derive summation formulas for arithmetic series and for both finite and infinite geometric series
- Solve problems involving functional concepts, such as composition, defining the inverse function and performing arithmetic operations on functions.
- Justify steps in combining and simplifying functions using properties from number systems
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