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CONTACT 732-281-7122 732-423-8052 |
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K12-MATHS-ALGEBRA |
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This course is designed for the student who can independently use and apply the basic skills of arithmetic. The course introduces the student to the basic structure of Algebra through the use and application of real numbers, inequalities, factoring, polynomials, linear and quadratic equations, and graphs. Appropriate technology will be used to enhance mathematical understanding and problem solving skills.
Students who successfully complete this course with a grade of “C” or higher should be prepared to take Geometry.
This Course Covers The Following Algebra Concepts:
Seeing Structure in Expressions Interpret the structure of expressions Write expressions in equivalent forms to solve problems Arithmetic with Polynomials and Rational Functions Perform arithmetic operations on polynomials Understand the relationship between zeros and factors of polynomials
Use polynomial identities to solve problems Rewrite rational functions
Creating Equations Create equations that describe numbers or relationships Reasoning with Equations and Inequalities
Understand solving equations as a process of reasoning and explain the reasoning
Solve equations and inequalities in one variable Solve systems of equations Represent and solve equations and inequalities graphically
Mathematical Practices Make sense of problems and persevere in solving them. Reason abstractly and quantitatively.
Construct viable arguments and critique the reasoning of others. Model with mathematics. Use appropriate tools strategically. Attend to precision, Look for and make use of structure. Look for and express regularity in repeated reasoning. |
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Algebra 1 teaches students fundamental concepts such as integers, linear equations, how to add, subtract, multiply and divide monomials and polynomials, factoring polynomials and solving quadratic equations.
When you have completed this course, you will be able to:
Perform basic operations with integers and rational numbers. Solve equations, inequalities, and word problems. Perform operations with monomial and polynomials. Factor polynomials. Simplify rational expressions. Graph linear equations and determine slope, x-intercept, and y-intercept. Solve systems of linear equations, radical equations, and quadratic equations.
Course Outline
Linear Equations and Inequalities Graphing and Writing Linear Functions Solving Systems of Linear Equations Exponential Functions and Sequences Polynomial Equations Graphing and Solving Quadratic Functions Radical functions and Equations Data and Displays
xxxxxxxxxxxxx Algebra 2 is a cumulative review of all Algebra topics and is a fundamental course that is completed before the study of Trigonometry/PreCalculus. The course content is also the last mathematics course covered on the SAT's. Once completed with the course, students will be able to correctly apply the order of operations to evaluate expressions and use formulas; solve systems of linear equations using the graphing method; perform operations on polynomials; add, subtract, multiply, and divide functions; identify an arithmetic or geometric sequence; and write and graph equations of parabolas, circles, ellipses, and hyperbolas.
After completing the course, students will be able to:
Correctly apply the order of operations to evaluate expressions and use formulas. Solve systems of linear equations using the graphing method. Perform operations on polynomials. Add, subtract, multiply, and divide functions. Identify an arithmetic or geometric sequence. Write and graph equations of parabolas, circles, ellipses, and hyperbolas.
Course Outline
Part 1:
Linear Equations & Inequalities Systems of Linear Equations & Matrices Polynomial Functions & Operations Quadratic Equations Properties of Exponents Radical Expressions
Part 2:
Points, lines, and planes Simple laws of logic Algebraic proofs Arithmetic or geometric sequences Binomial theorem Equations of parabolas, circles, ellipses, and hyperbolas Conic sections Systems of equations Systems of inequalities Values of trigonometric functions for acute angles |