Alg+II,+Precalc+Page


 * Below are the pre-calculus and algebra II syllabi. I have not posted the homework because much of it is handwritten or from a textbook. If you want to get the last homework, please email me at helen.sun3@gmail.com or call me at (734)945-1953.

Pre-Calculus Syllabus ** (There are around 10 homework sets, an Algebra II SOL practice test, and a group project but I will not require going through all of them. I will go at the pace that each class requires.) Games such as Jeopardy and hands-on projects will be completed as well as on-the-board problem solving. **Week 1:** Algebra II review  -     Assessment test  -    Review of absolute values, rational equations, inequalities, polynomials, radicals **Week 2:** Functions  -     Definition, identification of functions using vertical line test  -    Conceptual description  -    Identifying fxns from word problems, describing a functional relationship  -    Fxns in table, equation, graphical form  -    Domain and range  -    Composite, symbolic  -    Word problems, strategies for turning problems into equations **Week 3:** Function properties – Domain/range  -    Continuity  -    Significant points (relative and absolute max/min)  -    Roots  -    X and y intercepts  -    Vertical and horizontal asymptotes  -    Odd and even symmetry  -    Line and point symmetry <span style="mso-ascii-font-family: Calibri; mso-fareast-font-family: Calibri; mso-hansi-font-family: Calibri; mso-bidi-font-family: Calibri"> -    Identifying properties graphically and numerically **Week 4:** Common functions in basic form <span style="mso-ascii-font-family: Calibri; mso-fareast-font-family: Calibri; mso-hansi-font-family: Calibri; mso-bidi-font-family: Calibri"> -    Definition of curve and equation, properties, applications <span style="mso-ascii-font-family: Calibri; mso-fareast-font-family: Calibri; mso-hansi-font-family: Calibri; mso-bidi-font-family: Calibri"> -    Line y=x <span style="mso-ascii-font-family: Calibri; mso-fareast-font-family: Calibri; mso-hansi-font-family: Calibri; mso-bidi-font-family: Calibri"> -    Absolute value y=|x| <span style="mso-ascii-font-family: Calibri; mso-fareast-font-family: Calibri; mso-hansi-font-family: Calibri; mso-bidi-font-family: Calibri"> -    Quadratic y=x2 <span style="mso-ascii-font-family: Calibri; mso-fareast-font-family: Calibri; mso-hansi-font-family: Calibri; mso-bidi-font-family: Calibri"> -    Cubic y=x3 <span style="mso-ascii-font-family: Calibri; mso-fareast-font-family: Calibri; mso-hansi-font-family: Calibri; mso-bidi-font-family: Calibri"> -    Radical y=√(x) <span style="mso-ascii-font-family: Calibri; mso-fareast-font-family: Calibri; mso-hansi-font-family: Calibri; mso-bidi-font-family: Calibri"> -    Rational y =1/x, y= 1/x2 <span style="mso-ascii-font-family: Calibri; mso-fareast-font-family: Calibri; mso-hansi-font-family: Calibri; mso-bidi-font-family: Calibri"> -    Exponential y =ex, y= e-x <span style="mso-ascii-font-family: Calibri; mso-fareast-font-family: Calibri; mso-hansi-font-family: Calibri; mso-bidi-font-family: Calibri"> -    Logarithmic y =log(x), y= ln(x) <span style="mso-ascii-font-family: Calibri; mso-fareast-font-family: Calibri; mso-hansi-font-family: Calibri; mso-bidi-font-family: Calibri"> -    Trigonometric y =sin(x), y= cos(x) Piecewise y=<span style="FONT-SIZE: 11pt; FONT-FAMILY: 'Calibri','sans-serif'; POSITION: relative; TOP: 22pt; mso-ascii-theme-font: minor-latin; mso-fareast-font-family: Calibri; mso-fareast-theme-font: minor-latin; mso-hansi-theme-font: minor-latin; mso-bidi-font-family: 'Times New Roman'; mso-bidi-theme-font: minor-bidi; mso-text-raise: -22.0pt; mso-ansi-language: EN-US; mso-fareast-language: EN-US; mso-bidi-language: AR-SA"> <span style="mso-ascii-font-family: Calibri; mso-fareast-font-family: Calibri; mso-hansi-font-family: Calibri; mso-bidi-font-family: Calibri"> - **Week 5:** Translating, stretching, adding/multiplying curves <span style="mso-ascii-font-family: Calibri; mso-fareast-font-family: Calibri; mso-hansi-font-family: Calibri; mso-bidi-font-family: Calibri"> -    Translating in the y direction: y=f(x)+k <span style="mso-ascii-font-family: Calibri; mso-fareast-font-family: Calibri; mso-hansi-font-family: Calibri; mso-bidi-font-family: Calibri"> -    Translating in the x direction: y=f(x-h) <span style="mso-ascii-font-family: Calibri; mso-fareast-font-family: Calibri; mso-hansi-font-family: Calibri; mso-bidi-font-family: Calibri"> -    Reflection about y=x. When to know if an inverse exists using horizontal line test, identity rule. <span style="mso-ascii-font-family: Calibri; mso-fareast-font-family: Calibri; mso-hansi-font-family: Calibri; mso-bidi-font-family: Calibri"> -    Reflection about the y-axis <span style="mso-ascii-font-family: Calibri; mso-fareast-font-family: Calibri; mso-hansi-font-family: Calibri; mso-bidi-font-family: Calibri"> -    Absolute value of f(x) <span style="mso-ascii-font-family: Calibri; mso-fareast-font-family: Calibri; mso-hansi-font-family: Calibri; mso-bidi-font-family: Calibri"> -    Reflection about the x-axis <span style="mso-ascii-font-family: Calibri; mso-fareast-font-family: Calibri; mso-hansi-font-family: Calibri; mso-bidi-font-family: Calibri"> -    Stretching in x direction: y=f(cx) <span style="mso-ascii-font-family: Calibri; mso-fareast-font-family: Calibri; mso-hansi-font-family: Calibri; mso-bidi-font-family: Calibri"> -    Stretching in y direction: y=cf(x) **If time permits:** Common functions in standard form <span style="mso-ascii-font-family: Calibri; mso-fareast-font-family: Calibri; mso-hansi-font-family: Calibri; mso-bidi-font-family: Calibri"> -     Students will learn how function parameters affect the shape and location of a curve, including when curves are translated, stretched, and applied to real world applications <span style="mso-ascii-font-family: Calibri; mso-fareast-font-family: Calibri; mso-hansi-font-family: Calibri; mso-bidi-font-family: Calibri"> -     Line y-y1=m(x-x1) (point slope eq), y=mx+b (slope intercept eq) <span style="mso-ascii-font-family: Calibri; mso-fareast-font-family: Calibri; mso-hansi-font-family: Calibri; mso-bidi-font-family: Calibri"> -    Absolute value y=a|x-h|+k <span style="mso-ascii-font-family: Calibri; mso-fareast-font-family: Calibri; mso-hansi-font-family: Calibri; mso-bidi-font-family: Calibri"> -    Quadratic y =ax2+bx+c= a(x-h)2+k <span style="mso-ascii-font-family: Calibri; mso-fareast-font-family: Calibri; mso-hansi-font-family: Calibri; mso-bidi-font-family: Calibri"> -    Cubic y=a(x-h)3+k <span style="mso-ascii-font-family: Calibri; mso-fareast-font-family: Calibri; mso-hansi-font-family: Calibri; mso-bidi-font-family: Calibri"> -    Radical y =x1/n= <span style="FONT-SIZE: 11pt; FONT-FAMILY: 'Calibri','sans-serif'; POSITION: relative; TOP: 2.5pt; mso-ascii-theme-font: minor-latin; mso-fareast-font-family: Calibri; mso-fareast-theme-font: minor-latin; mso-hansi-theme-font: minor-latin; mso-bidi-font-family: 'Times New Roman'; mso-bidi-theme-font: minor-bidi; mso-text-raise: -2.5pt; mso-ansi-language: EN-US; mso-fareast-language: EN-US; mso-bidi-language: AR-SA"> <span style="mso-ascii-font-family: Calibri; mso-fareast-font-family: Calibri; mso-hansi-font-family: Calibri; mso-bidi-font-family: Calibri"> -    Rational <span style="FONT-SIZE: 11pt; FONT-FAMILY: 'Calibri','sans-serif'; POSITION: relative; TOP: 7.5pt; mso-ascii-theme-font: minor-latin; mso-fareast-font-family: Calibri; mso-fareast-theme-font: minor-latin; mso-hansi-theme-font: minor-latin; mso-bidi-font-family: 'Times New Roman'; mso-bidi-theme-font: minor-bidi; mso-text-raise: -7.5pt; mso-ansi-language: EN-US; mso-fareast-language: EN-US; mso-bidi-language: AR-SA"> <span style="mso-ascii-font-family: Calibri; mso-fareast-font-family: Calibri; mso-hansi-font-family: Calibri; mso-bidi-font-family: Calibri"> -    Exponential y =Cax+k= Cexln(a)+k <span style="mso-ascii-font-family: Calibri; mso-fareast-font-family: Calibri; mso-hansi-font-family: Calibri; mso-bidi-font-family: Calibri"> -    Logarithmic The logax fxn means ay=x. <span style="mso-ascii-font-family: Calibri; mso-fareast-font-family: Calibri; mso-hansi-font-family: Calibri; mso-bidi-font-family: Calibri"> -    Trigonometric y =Asin(B(x-h/B))+K, y= Acos(B(x-h/B))+K <span style="mso-ascii-font-family: Calibri; mso-fareast-font-family: Calibri; mso-hansi-font-family: Calibri; mso-bidi-font-family: Calibri"> -    Piecewise same as two sections ago but with more complex fxns


 * Algebra II Syllabus **

(There are around 21 homework sets and an Algebra I SOL practice test but I will not require going through all of them. I will go at the pace that each class requires. At the end of the program, I would like to go through an Algebra II SOL test to assess how prepared students are.) Games such as Jeopardy and hands-on projects will be completed as well as on-the-board problem solving. **Week 1:** Algebra I review <span style="mso-ascii-font-family: Calibri; mso-fareast-font-family: Calibri; mso-hansi-font-family: Calibri; mso-bidi-font-family: Calibri"> -     Algebra I pretest <span style="mso-ascii-font-family: Calibri; mso-fareast-font-family: Calibri; mso-hansi-font-family: Calibri; mso-bidi-font-family: Calibri"> -    Number types <span style="mso-ascii-font-family: Calibri; mso-fareast-font-family: Calibri; mso-hansi-font-family: Calibri; mso-bidi-font-family: Calibri"> -    Order of operations <span style="mso-ascii-font-family: Calibri; mso-fareast-font-family: Calibri; mso-hansi-font-family: Calibri; mso-bidi-font-family: Calibri"> -    Absolute value, plotting and expressions <span style="mso-ascii-font-family: Calibri; mso-fareast-font-family: Calibri; mso-hansi-font-family: Calibri; mso-bidi-font-family: Calibri"> -    Introduction to variables <span style="mso-ascii-font-family: Calibri; mso-fareast-font-family: Calibri; mso-hansi-font-family: Calibri; mso-bidi-font-family: Calibri"> -    Expressions and equations <span style="mso-ascii-font-family: Calibri; mso-fareast-font-family: Calibri; mso-hansi-font-family: Calibri; mso-bidi-font-family: Calibri"> -    Inequalities **Week 2:** Common numerical roots and factors, Radicals <span style="mso-ascii-font-family: Calibri; mso-fareast-font-family: Calibri; mso-hansi-font-family: Calibri; mso-bidi-font-family: Calibri"> -     Table of roots to become familiar with <span style="mso-ascii-font-family: Calibri; mso-fareast-font-family: Calibri; mso-hansi-font-family: Calibri; mso-bidi-font-family: Calibri"> -    Power rules <span style="mso-ascii-font-family: Calibri; mso-fareast-font-family: Calibri; mso-hansi-font-family: Calibri; mso-bidi-font-family: Calibri"> -    Definition of radicals with respect to exponents <span style="mso-ascii-font-family: Calibri; mso-fareast-font-family: Calibri; mso-hansi-font-family: Calibri; mso-bidi-font-family: Calibri"> -    Using roots to solve radical expressions <span style="mso-ascii-font-family: Calibri; mso-fareast-font-family: Calibri; mso-hansi-font-family: Calibri; mso-bidi-font-family: Calibri"> -    Even and odd root properties **Week 3:** Monomials and Polynomials – Definition of monomial, terminology <span style="mso-ascii-font-family: Calibri; mso-fareast-font-family: Calibri; mso-hansi-font-family: Calibri; mso-bidi-font-family: Calibri"> -     Definition of polynomials <span style="mso-ascii-font-family: Calibri; mso-fareast-font-family: Calibri; mso-hansi-font-family: Calibri; mso-bidi-font-family: Calibri"> -    Rules of operation for polynomials (adding, subtracting, multiplying, dividing) <span style="mso-ascii-font-family: Calibri; mso-fareast-font-family: Calibri; mso-hansi-font-family: Calibri; mso-bidi-font-family: Calibri"> -    Examples of polynomials in real world <span style="mso-ascii-font-family: Calibri; mso-fareast-font-family: Calibri; mso-hansi-font-family: Calibri; mso-bidi-font-family: Calibri"> -    Factoring polynomials and methods and patterns (perfect squares, difference of squares, difference/sum of cubes for advanced classes) **Week 4:** Functions <span style="mso-ascii-font-family: Calibri; mso-fareast-font-family: Calibri; mso-hansi-font-family: Calibri; mso-bidi-font-family: Calibri"> -    Definition, conceptual, vertical line test, horizontal line test, examples. Test if students know how to identify problems that can be expressed as functions. <span style="mso-ascii-font-family: Calibri; mso-fareast-font-family: Calibri; mso-hansi-font-family: Calibri; mso-bidi-font-family: Calibri"> -    Ways to express functions – table, graph, equation form (algebra II textbook ch 2-1). How to read off of functional graphs, state the functional relationships btwn variables, evaluate specific functional values (precalc textbook p. 120). Split into teams, everyone does all the problems but each team is responsible for presenting one part of the excercises to the class. <span style="mso-ascii-font-family: Calibri; mso-fareast-font-family: Calibri; mso-hansi-font-family: Calibri; mso-bidi-font-family: Calibri"> -    Domain and range <span style="mso-ascii-font-family: Calibri; mso-fareast-font-family: Calibri; mso-hansi-font-family: Calibri; mso-bidi-font-family: Calibri"> -    Word problems <span style="mso-ascii-font-family: Calibri; mso-fareast-font-family: Calibri; mso-hansi-font-family: Calibri; mso-bidi-font-family: Calibri"> -    Composite functions <span style="mso-ascii-font-family: Calibri; mso-fareast-font-family: Calibri; mso-hansi-font-family: Calibri; mso-bidi-font-family: Calibri"> -    Symbolic functions **Week 5:** Conic Sections <span style="mso-ascii-font-family: Calibri; mso-fareast-font-family: Calibri; mso-hansi-font-family: Calibri; mso-bidi-font-family: Calibri"> -    Equation form, graphical form, applications <span style="mso-ascii-font-family: Calibri; mso-fareast-font-family: Calibri; mso-hansi-font-family: Calibri; mso-bidi-font-family: Calibri"> -    Lines <span style="mso-ascii-font-family: Calibri; mso-fareast-font-family: Calibri; mso-hansi-font-family: Calibri; mso-bidi-font-family: Calibri"> -    Parabolas <span style="mso-ascii-font-family: Calibri; mso-fareast-font-family: Calibri; mso-hansi-font-family: Calibri; mso-bidi-font-family: Calibri"> -    Circles <span style="mso-ascii-font-family: Calibri; mso-fareast-font-family: Calibri; mso-hansi-font-family: Calibri; mso-bidi-font-family: Calibri"> -    Ellipses <span style="mso-ascii-font-family: Calibri; mso-fareast-font-family: Calibri; mso-hansi-font-family: Calibri; mso-bidi-font-family: Calibri"> -    Hyperbolas **If time permits:** Curve fitting with calculator, graphing systems of inequalities, complex numbers, discrete functions <span style="mso-ascii-font-family: Calibri; mso-fareast-font-family: Calibri; mso-hansi-font-family: Calibri; mso-bidi-font-family: Calibri"> -     Creating scatter plots, regression curve fits (required on Alg II SOL’s) <span style="mso-ascii-font-family: Calibri; mso-fareast-font-family: Calibri; mso-hansi-font-family: Calibri; mso-bidi-font-family: Calibri"> -    Knowing when to use curve fitting as a tool <span style="mso-ascii-font-family: Calibri; mso-fareast-font-family: Calibri; mso-hansi-font-family: Calibri; mso-bidi-font-family: Calibri"> -    Obtaining solutions to systems of inequalities that are linked by an AND or an OR <span style="mso-ascii-font-family: Calibri; mso-fareast-font-family: Calibri; mso-hansi-font-family: Calibri; mso-bidi-font-family: Calibri">  -    Introduction to complex numbers <span style="mso-ascii-font-family: Calibri; mso-fareast-font-family: Calibri; mso-hansi-font-family: Calibri; mso-bidi-font-family: Calibri"> -    Introductions to discrete functions (permutations, combinations, factorials)