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BAY AREA TECHNOLOGY HIGH SCHOOL COURSE DESCRIPTIONS
 

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:

  1. Completing all prerequisites with at least a B+ each and getting recommendation letters from the prerequisite class teachers.
  2. 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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