Algebra 1
Algebra 1 includes the following topics/competencies:
1. Use of organizational strategies and tools (e.g., technology, spreadsheet, outline, chart, table, graph, Venn Diagram, web, story map, plot pyramid) to develop a personal organizational style.
2. Use the zero product property of real numbers in a variety of contexts to identify solutions to equations.
3. Describe the concept of a function, use function notation, determine whether a given relation is a function,...
Read More
Algebra 2
Algebra 2 includes the following topics/competencies:
1. Identify the real and imaginary parts of complex numbers and perform basic
operations.
2. Graph absolute value equations and inequalities in two variables.
3. Identify and graph common functions (including but not limited to linear, rational,
quadratic, cubic, radical, absolute value).
3. Perform operations (addition, subtraction, division, and multiplication) of functions
algebraically,...
Read More
Calculus
The main goals of Calculus III are to understand the mathematical concepts in multivariable calculus, to develop computational facility and problem solving ability in the subject and to enhance the ability to communicate mathematical solutions effectively. One should come to have a basic understanding of how multivariable calculus is developed and applied to solve actual problems.
The topics covered in Calculus III include solid analytic geometry; polar, cylindrical and spherical coordinates;...
Read More
Geometry
Geometry includes the following topics/competencies:
1: Points, Lines, Angles, and Planes - Students understand geometric concepts, applications, and their representations with coordinate systems. They find lengths and midpoints of line segments, slopes, parallel and perpendicular lines, and equations of lines. Using a compass and straightedge, patty paper, a drawing program or other techniques, students also construct lines and angles, explaining and justifying the processes used...
Read More
SAT Math
Your SAT score is a pivotal component of your college applications. Most colleges use these scores to help decide whether to admit students or not.
The SAT consists of three main sections and an essay. The main sections are Critical Reading, Mathematics and Writing. Each of the main sections has a scoring scale of 200-800, with the best over all score being 2400. Essays have a scale of 2-12.
SAT Math
•54 questions (44 multiple–choice and 10 grid in)
•70...
Read More
ACT Math
ACT Math!
The Math Section of the ACT contains 60 questions, and you’re given 60 minutes to answer them. On average, you have only at most 1 minute to answer a question.
On the other hand, you do get a calculator to help you out, which minimizes the time it takes to make any calculations. All math questions are multiply-choice, with 5 answers, and there is no correction factor (meaning if you get an answer wrong, there’s no penalty), which means if you don’t know an answer,...
Read More
Discrete Math
Induction, complexity, elementary counting, combinations and permutations, recursion and recurrence relations, graphs and trees; discussion of the design and analysis of algorithms–with emphasis on sorting and searching.
Differential Equations
Ordinary differential equations of first order, higher order linear equations, Laplace transform methods, series methods; numerical solution of differential equations. Applications to physical sciences and engineering.
Differential equations of the first order, linear systems of ordinary differential equations, elementary qualitative properties of nonlinear systems.
Linear Algebra
Matrix algebra, solution of linear systems; notions of vector space, independence, basis, dimension; linear transformations, change of basis; eigenvalues, eigenvectors, Hermitian matrices, diagonalization; Cayley-Hamilton theorem.
Logic
Syntax and semantics of formal languages; sentential logic, proofs in first order logic; Godel’s completeness theorem; compactness theorem and applications; cardinals and ordinals; the Lowenheim-Skolem-Tarski theorem; Beth’s definability theorem; effectively computable functions; Godel’s incompleteness theorem; undecidable theories.
Praxis
Mathematics: Content Knowledge 0061
Mathematics: Proofs, Models and Problems 0063