Download Course Syllabus

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
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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)