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Course Syllabus Mrs. Wilbers Algebra II – Room 105 BSSHS 2014-2015 Plan Hour: Work Phone: E-Mail: 5th Hour 224-1315 [email protected] Textbook: McDougall Littell - Algebra 2 www.classzone.com can be a valuable resource as well. Course description: This course builds upon and extends the concepts, skills and understanding learned in Algebra I. The course will also introduce more advanced topics that will serve as a foundation for Pre-AP Calculus, Trigonometry and College Algebra. Grading Scale: We will follow the school policy for letter grades. 90-100% A 80-89% B 70-79% C 60-69% D 0-59% F For specific class information, please see the “class rules” page. Required Materials: Please supply a notebook, graph paper, paper, straight edge and pencils. (Colored pencils may enhance your notes!) Calculators: We will be using graphic calculators extensively throughout the year. (You will need to purchase one or check one out thru the math department.) Any TI-83 or TI-84 version will work. Major Components: Chapter 1: Expressions, Equations and Inequalities (how to evaluate and simplify numerical and algebraic expressions; how to solve linear and absolute value equations and inequalities; how to use algebra to model and solve real-life problems) Chapter 2: Linear Equations and Functions (how to graph ordered pairs, relations, functions, linear equations and inequalities; how to write equations of lines; how to solve real-life problems using graphs and equations) Chapter 3: Systems of linear equations and inequalities (how to solve linear systems in 2 or 3 variables by graphing and using algebraic models; how to write and use linear systems to solve real-life problems) Chapter 4: Matrices and Determinants (how to add, subtract, and multiply matrices and how to evaluate determinants; how to solve linear systems using Cramer’s rule and inverse matrices) Chapter 5: Quadratic functions, equations, and inequalities (four ways to solve quadratic equations; how to graph quadratic functions and inequalities) Chapter 6: Polynomials, polynomial equations/functions (how to perform operations on polynomials and solve polynomial equations; how to evaluate, graph, and find zeros of polynomial functions) Chapter 7: Powers, Roots and Radicals (how to use rational exponents and nth roots; how to perform operations with and find inverses of functions; how to graph radical functions and solve radical equations) Chapter 8: Exponential and logarithmic functions (how to graph and use exponential, logarithmic, and logistic growth functions; how to use the number e and the definition and properties of logs; how to solve exponential and logarithmic equations) Chapter 9: Rational Expressions, functions, and equations (how to simplify and perform operations with rational expressions; how to graph rational functions and solve rational equations; how to use variation models and rational models in real-life situations) Chapter 10: Conic Sections (how to use the distance and midpoint formulas; how to graph and write equations of conics, and classify conics; how to solve systems of quadratic equations) Chapter 11: Sequences and Series (how to find terms of sequences and write algebraic rules to define sequences; how to use summation notation and find sums of arithmetic and geometric sequences.) Chapter 12: Probability and Statistics (how to count the number of ways an event can happen; how to calculate and use probabilities) Chapter 13: Trigonometry (how to evaluate trigonometric functions and inverse trigonometric functions; how to find side lengths, angle measures, and areas of triangles.) Objectives: Major objectives are included on the district CLE’s page attached to this sheet. 01-The students will plot rational and irrational numbers on the real number line(1.1) 02-The students will simplify an algebraic expression by using the distributive property and combining like terms(1.2) 03-The students will set-up and solve a linear equation(1.3) 04-The students will solve a literal equation for one of the variables(1.4) 05-The students will use problem solving strategies to solve various types of problems(1.5) 06-The students will write and solve linear inequalities(1.6) 07-The students will solve an absolute value inequality(1.7) 08-The students will find the domain from a relation of ordered pairs and identify a function from equations or ordered pairs(2.1) 09-The students will find the rate of change over time(2.2) 10-The students will find the x and y intercepts of a line, find the slope intercept form of the equation of a line given a point and the slope, and graph a line on a coordinate grid(2.3)-A+ Objective 11-The students will find the equation of a line parallel to a given line and write linear models and predict future values(2.4) 12-The students will name the correlation strength and direction from a graph of data points and find the linear model that matches a scatter plot(2.5) 13-The students will graph a linear inequality on a coordinate grid(2.6) 14-The students will evaluate a piece-wise function(2.7) 15-The students will graph an absolute value equation(2.8) - The students will solve systems of equations by graphing.(3.1) 16-The students will solve a linear system of equations(3.2)-A+ Objective 17-The students will graph the solution to a system of linear inequalities(3.3) - The students will use linear programming to optimize functions.(3.4) - The students will evaluate functions of two variables.(3.5) 18-The students will solve a 3x3 system of equations(3.6) 19-The students will find the sum of two matrices and multiply a matrix by a scalar(4.1) 20-The students will multiply two matrices and identify the correct set-up for a matrix supply problem(4.2) 21-The students will find the determinant of a 2 x 2 matrix and solve a 3 x 3 system of equations by Cramer's rule or by placing the matrix in reduced row echelon form(4.3) 22-The students will change a quadratic equation from standard form to h,k form, find the vertex, axis of symmetry and x-intercepts, and graph the equation on the coordinate grid, and find the length of the edge of a cube given its surface area(5.1) 23-The students will factor a differemce of two squares expression, factor a cubic trinomial, solve a quadratic equation in ax^2-bx=0 form and find the x-intercepts of a quadratic equation in standard form, and name the zeros(5.2) 24-The students will simplify the product of two radicals, simplify a quotient of two radicals, and solve a quadratic equation in ax^2-c=k form(5.3) 25-The students will solve a quadratic equation in standard form that has imaginary solutions, solve a quadratic equation in (ax-c)^2=k form, subtract complex numbers, multiply complex numbers, and rationalize the denominator by multiplying by the conjugate(5.4)-A+ Objective - The students will use completing the square to write quadratic equations in vertex form.(5.5) 26-The students will solve a quadratic equation that has imaginary solutions(5.6) END OF FIRST SEMESTER 27-The students will simplify exponential expressions including those with power to power(6.1) 28-The students will simplify exponential products negative exponents, use synthetic substitution to evaluate an expression, and graph a cubic equation(6.2) 29-The students will add and subtract two trinomials and multiply binomials and trinomials(6.3) 30-The students will factor a trinomial by removing the common factor first, factor a perfect square binomial, and solve a cubic equation(6.4) 31-The students will divide two polynomials using any method(6.5) 32-The students will estimate the real zeros of a function from its graph(6.6) 33-The students will find the zeros of a trinomial that is in factored form(6.7) 34-The students will identify which equation matches the given solution points(6.9) 35-The students will evaluate an exponential number with rational exponents(7.1) 36-The students will simplify an exponential number with rational exponents and simplify radical expressions(7.2) 37-The students will use function operations to subtract(7.3) 38-The students will find the inverse of an equation(7.4) 39-The students will graph a cube root equation(7.5) 40-The students will solve a radical equation with extraneous solutions and solve a cube root equation(7.6) 41-The students will use exponential functions including compound interest formula(8.1)-A+ Objective 42-The students will graph an exponential function(8.2) 43-The students will use exponential equation to find percent of growth and future value(8.3) 44-The students will evaluate a logarithm with a base of 3(8.4) 45-The students will expand the quotient of a log into seperate logs(8.5) 46-The students will solve an exponential equation for x in the form e^x=c(8.6) 47-The students will setup inverse variation equation and solve(9.1) 48-The students will find the value of a rational function at a given point and find the domain of a rational function(9.2) 49-The students will name the horizontal and vertical asymptotes of a rational function(9.3) 50-The students will simplify a rational expression by factoring and then cancel, divide two rational expressions and simplify, and use rational expressions to find the area of a rectangle(9.4)-A+ Objective 51-The students will add or subtract two rational expressions with a common denominator amd simplify a complex fraction(9.5) 52-The students will solve a rational equation with unlike denominators(9.6)-A+ Objective 53-The students will find the focus of a parabola in the form y^2=ax(10.2) 54-The students will write the equation of a circle in standard form given the coordinates of the center and the radius of the circle(10.3) 55-The students will identify the graph given the equation of an ellipse(10.4) 56-The students will graph a hyperbola given the equation(10.5) 57-The students will find the equation of a parabola given the focus and vertex, find the center and radius of a circle by completing the square, and given an equation, classify the type of conic section(10.6)