WEEK OF AUGUST 22, 2011
Monday -
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Tuesday -
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Wednesday - Issue textbooks and go over class expectations and the syllabus. Discuss the grading program along with retakes
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Thursday - Review the number system along with order of operations. Review the important properties of math. Review algebraic expressions. Introduce set notation.
Assignment - Page 15, problems 4 - 100 multiples of 4
Friday - Correct assignment and answer student questions. Review exponents and scientific notation. Talk about calculations using scientific notation and making sure the answer is in scientific notation.
Assignment - Page 28, problems 4 - 100 multiples of 4
WEEK OF AUGUST 29, 2011
Monday - Review square roots including simplifying them, evaluating them and doing addition, subtraction, multiplication and division
Assignment - Page 43, problems 2 - 44 evens
Tuesday - Continue working with square roots but expand it to include other indices as well as making sure there is no radical in a denominator by rationalizing. Include a review of conjugates and their use to rationalize problems.
Assignment - Page 43, problems 46 - 108 evens
Wednesday - Begin the review of polynomials beginning with their degree. Review adding, subtracting and multiplying with polynomials. Make sure the word coefficient is reviewed.
Assignment - Page 53, problems 3 - 90 multiples of 3
Thursday - Continue work with polynomials but review factoring of all types. Remind students about the GCF, the difference of 2 squares, the difference or sum of 2 cubes, trinomial factoring, and factoring by grouping. Remind students of the chart on page 63.
Page 65, problems 3 - 102 multiples of 3
Friday - Review of material covered so far with a quiz on Monday
Assignment - Page 67, problems 1 - 37
WEEK OF SEPTEMBER 5
Monday -
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Tuesday - Review pre-requisite so far
Assignment - Worksheet
Wednesday - Quiz 1, Chapter pre-requisite
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Thursday - Review rational expressions and note the similarity to fractions. Add, subtract, multiply and divide rational expressions. Note how to simplify complex fractions. Work with the domain of rational expressions.
Assignment - Page 79, 4 - 120 multiples of 4
Friday - Review solving linear equations along with rational equations and how to solve for a variable.
Assignment - Page 98, problems 3 - 54 multiples of 3
WEEK OF SEPTEMBER 12
Monday - Review quadratic equations and the options for solving including factoring, completing the square and the quadratic formula. Review use of the discriminate part of the quadratic formula to check which kind of answer to expect.
Emphasize the guidelines in the book on page 96.
Assignment - Page 98, problems 57 - 123 multiples of 3
Tuesday - Solving all kinds of equations and making wise choices and understand what method needs to be used.
Assignment - Page 99, problems 125 - 136
Wednesday - Problem solving with equations.
Assignment - Page 111, problems 2 - 48 evens
Thursday - Review rational expressions and equations to prepare for a quiz
Assignment - worksheet
Friday - Quiz 2, Chapter pre-requisite
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WEEK OF SEPTEMBER 19
Monday - Review material to prepare for quiz
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Tuesday - Quiz 2, chapter 0
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Wednesday - Review solving inequalities including compound inequalities. Review the meaning of "and" and "or". Look at the solutions on a number line, set builder notation, and interval notation. Emphasize the use of open and closed intervals. Review how equations and inequalities are the same unless you multiply or divide with a negative number then you have to flip the inequality symbol.
Assignment - Page 126, problems 28 - 92 multiples of 4
Thursday - Review for the chapter test
Assignment - worksheet
Friday - Chapter 0 test
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WEEK OR SEPTEMBER 26
Monday - Review the coordinate system and all of its parts. Review x and y intercepts. Hand out the TI 84 and discuss their use. Look at the window and the viewing rectangle and how to make changes and how to get it back to standard.
Assignment - Page 143, problems 18 - 26 (make a table only) 29 - 46, 55 - 65
Tuesday - Look at relations as functions along with function notation. Be sure all understand the meaning of domain and range as well as the independent variable and the dependent variable.
Assignment - Page 159, problems 2 - 54 evens
Wednesday - Review the vertical line test to tell whether a graph represents a function. Find the domain and the range by looking at a graph. Review interval notation with the domain and range.
Assignment - Page 160, problems 56 - 106 evens
Thursday - Display functions as graphs. Introduce increasing and decreasing intervals along with relative maximum and relative minimum. Discuss the meaning of even and odd functions.
Assignment - Page 172, problems 2 - 36 evens
Friday - Homecoming
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WEEK OF OCTOBER 3
Monday - Review piecewise functions and the concept of the least greatest integer and the step function that goes with it. Introduce the Difference Quotient which will come up time and again in the future.
Assignment - Page 172, problems38 - 76 evens
Tuesday - Applications of the concepts learned.
Assignment - Page 177, problems 78 - 116 evens
Wednesday - Quiz 1, Chapter 1
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Thursday - Look at linear functions along with their characteristics including the slope and its meaning. Review the standard form, point-slope form, and slope-intercept form.
Assignment - Page 188, problems 2 - 48 evens
Friday - Discuss important concepts of slope including the slope of a horizontal and vertical line. Analyze equations
Assignment - Page 189, problems 50 - 86 evens
WEEK OF OCTOBER 10
Monday - Staff development
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Tuesday - Review slopes and compare the slopes of parallel and perpendicular lines. Note how they are the same and how they differ. Write equations in slope-intercept form using the given information.
Assignment - Page 200, problems 1 - 12
Wednesday - Compare slope with rate of change. Note the different notation used to mean the same thing. Introduce the use of a triangle (DELTA) to mean change in. Compare average rate of change with slope. Talk about the change in position which is velocity and the way to find average velocity based on the same idea as finding slope.
Assignment - Page 200, problems 13 - 32
Thursday - Review for quiz
Assignment - Page 203, problems 2 - 44 evens.
Friday - Quiz 2, Chapter 1
WEEK OF OCTOBER 17
Monday - Look at the commons graphs and their basic equation. Using the basic equation name translations, reflections, stretches and shrinks both vertically and horizontally. Focus on linear equations.
Assignment - Page 216, problems 2 - 52 multiples of 4
Tuesday - Repeat of Monday except focus on quadratic equations.
Assignment - Page 216, problems 54 - 80 evens
Wednesday - Repeat of Monday except focus on absolute value functions
Assignment - Page 217, problems 82 - 118 evens
Thursday - Applications using the transformations and translations
Assignment - Page 217, problems 127 - 136
Friday - Quiz 3, Chapter 1
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WEEK OF OCTOBER 24
Monday - Work with function by adding, subtracting, multiplying, and dividing the function. Review what the domain and the range of various functions are.
Assignment - Page 230, problems 2 - 48 evens
Tuesday - Continue work with functions but now do compositions where one function is put into the other. Review domain and range and look at the domain and the range of the composite function.
Assignment - Page 230, problems 50 - 80 evens
Wednesday - Apply the operations with functions and composition of function in real world.
Assignment - Page 230, problems 82 - 100
Thursday - Look at the inverse of a function, its meaning and their graphs. Learn the horizontal line test to tell whether or not a function has an inverse. Find the inverse of a function algebraically. Discuss one-to-one functions. Verify if functions are inverses.
Assignment - Page 240, 2 - 48 evens
Friday - Continue work with functions and their inverses.
Assignment - Page 241, 54 - 86 evens
WEEK OF OCTOBER 31, 2011
Monday - Review inverse functions and how to varify that 2 functions are inverses algebraically or graphically. Review horizontal and vertical line tests as well as one-to-one functions.
Assignment - Page 241, problems 54 - 86 evens
Tuesday - Quiz 4, Chapter 1
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Wednesday - Review the distance formula. If students are not aware that the distance formula comes from the Pythagorean Theorem bte sure that it is known. Review the midpoint formula and emphasize that it is just finding the average of the x and y coordinates.
Assignment - Page 250, problems 2 - 30 evens
Thursday - Review the equation of a circle from Algebra II. Understand which numbers give the center of the circle on a coordinate plane and what the length of the radius is. Practice completing the square to change a quadratic equation to the standard form equation for a circle.
Assignment - Page 250, problems 32 - 64 evens
Friday - Staff Development
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WEEK OF NOVEMBER 7, 2011
Monday - Discuss applications of the circle equation, where it is applied and how it works.
Assignment - Page 250, problems 65 - 74, 90-94
Tuesday - Writing functions based on problems in the real world
Assignment - Page 261, problems 2 - 46 evens
Wednesday - Begin review of the chapter to prepare for the chapter test.
Assignment - Page 275, problems 1 - 38
Thursday - Chapter 1 test
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Friday - Review imaginary numbers and how they make complex numbers. Review the meaning of imaginary numbers along with adding, subtracting, multiplying and dividing them.
Assignment - Page 284, problems 2 - 60 evens.
WEEK OF NOVEMBER 14, 2011
Monday - Review quadratic functions including their standard form. Find x and y intercepts for quadratic functions along with the maximum and minimum area.
Assignment - Page 298, problems 4 - 76 multiples of 4
Tuesday - Look at the leading coefficient and the degree of the function (odd number of even number) to determine the end behavior of the graph.
Assignment - Page 312, problems 1 - 24
Wednesday - Remind students of the meaning of the zeros of a function (The real number answers). Look at the degree of the function along with the idea of multiplicity to find the number of real zeros in the function.
Assignment - Page 312, problems 25 - 32
Thursday - Discuss the Intermediate Value Theorem which helps to approximate the zeros of a function. Look at the number of turning points in reference to the degree along with symmetry.
Assignment - Page 312, 34 - 72 evens
Friday - Quiz 1, Chapter 2
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WEEK OF NOVEMBER 21, 2011
Monday - Review how to do long division with multi digit numbers. Tie that concept to dividing polynomials.
Assignment - page 324, problems 1 - 16
Tuesday - Look at binomial divisors where the leading coefficient is 1 and learn to perform synthetic division with those problems.
Assignment - Page 324, problems 17 - 32
Wednesday - No school Thanksgiving vacation
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Thursday - Thanksgiving Day
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Friday - No school Thanksgiving vacation
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WEEK OF NOVEMBER 28, 2011
Monday - Introduce the remainder theorem and its use when doing synthetic division. Discuss the factor theorem and how it fits in with synthetic division and the remainder theorem.
Assignment - Page 324, problems 33 - 50
Tuesday - Explain the rational zero theorem and its use in solving equations with a degree greater than 2. Look at the possible zeros based on the factors of the constant divided by the factors of the leading coefficient.
Assignment - Page 335, problems 2 - 24 evens
Wednesday - Explain the Fundamental Theorem of Algebra and make sure it is understood that the word complex does not always mean imaginary. Discuss linear factorization and how quadratic and imaginary solutions always come in pairs (+/-). Write polynomials from given zeros.
Assignment - Page 336, proloems 25 - 32
Thursday - Introduce Descartes Rule of Signs which can help to narrow down the possible zeros for a function.
Assignment - Page 336, problems 34 - 60 evens
Friday - Review the new theorems and rules and put it all together.
Assignment - Page 339, problems 1 - 34
WEEK OF DECEMBER 5, 2011
Monday - Quiz 2, Chapter 2
Assignment -
Tuesday - Discuss rational functions including the domain, arrow notation and limits
Assignment - Page 354, problems 1 - 20
Wednesday - Discuss asymptotes both vertical (denominator equals 0) and horizontal
(if degrees equal is ratio or lead coefficients, if degree numerator is smaller than the degree of the denomiator)
Assignment - Page 355, problems 22 - 70 evens
Thursday - Introduce slant asymptotes that happen when the degree of the numerator is greater than the degree of the denominator. Must do division to find the equation (ignor any remainder)
Assignment - Page 355, problems 71 - 88
Friday - Discuss solving rational inequalities and the use of critical numbers to set up intervals to be tested for the solution. Critical numbers come from having a single rational expression and letting the numerator equal 0 and letting the denominator equal 0 to find the critical numbers
Assignment - Page 366, problems 2 - 42 evens
WEEK OF DECEMBER 12, 2011
Monday - Continue solving rational inequalities
Assignment - Page 366, problems 44 - 70 evens
Tuesday - Quiz 3, Chapter 2
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Wednesday - Discuss variation and how they follow a pattern involving a constant of variation. Discuss direct, indirect and joint including powers.
Assignment - Page 376, 2 - 38
Thursday - Review chapter 2
Assignment - Page 381, problems 4 - 96 multiples of 4
Friday - Continue review chapter 2
Assignment - Worksheet
WEEK OF DECEMBER 19, 2011
Monday - Review for chapter 2 test
Assignment - Page 385, problems 1 - 29
Tuesday - Chapter 2 test
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Wednesday - Continue Chapter 2 test
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Thursday - Christmas vacation
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Friday - Christmas vacation
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WEEK OF JANUARY 2, 2012
Monday -
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Tuesday - Introduce exponential functions and discuss their difference and similarity to the functions we have been using. Look at the graph, asymptotes, and domain. Discuss the transformation of the basic exponential function.
Assignment - Page 396, problems 2 - 34 evens
Wednesday - Introduce the natural base "e" with exponential functions. Work with finding compound interest and continuous interest using the formulas.
Assignment Page 397, problems 36 - 68 evens
Thursday - Inverse of exponential functions turns into logarithms. Learn to change from exponential form to log form and back. Learn the general properties for logs. Evaluate exponential functions.
Assignment - Page 410, 1 - 42
Friday - Graph logarithms noting the domain, range, and other characteristics. Work with transformations from the basic log form. Also work with natural logs as graphs and transformations.
Assignment - Page 410, problems 47 - 80
WEEK OF JANUARY 9, 2012
Monday - Review for semester test
Assignment - Worksheet
Tuesday - Review for semester test
Assignment - Worksheet
Wednesday - Final review for semester test
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Thursday -
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Semester Test
Friday -
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WEEK OF JANUARY 16, 2012
Monday -
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Tuesday - Review exponential functions and their inverse, logarithmic functions. Discuss the properties of logs including the product property, quotient property, and power property. Practice expanding logarithmic functions
Assignment - Page 421, problems 1 - 40
Wednesday - Review the properties of logs and practice condensing logarithmic functions.
Assignment - Page 421, problems 41 - 70
Thursday - Learn how to use the calculator to find the log of any function with any base.
Assignment - Page 421, problems 71 - 102
Friday - Review the chapter this far to prepare for a quiz on Monday
Assignment - Page 423, problems 1 - 26
WEEK OF JANUARY 23, 2012
Monday - Quiz 1, Chapter 3
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Tuesday - Begin solving exponential equations and understanding that if the bases are the same then the exponents must be equal. Look at solving equations by doing the log or natural log on both sides of the equation if the same base cannot be achieved.
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Wednesday - Review solving exponential and log equations.
Assignment - Page 432, problems 1 - 48
Thursday - Solve log equations using the rules of logs to condense the equation. Review changing from log notation to exponential notation. Emphasize the use of the calculator to solve.
Assignment - Page 433, problems 50 - 100 evens
Friday - Quiz 2, Chapter 3
WEEK OF JANUARY 30, 21012
Monday - Use logs to solve problems involving growth or decay. Look at the model that you start with. Explain what it means if the exponent is positive or negative.
Assignment - Page 447, problems 2 - 36 evens
Tuesday - Discuss the logistic model which applies the fact that some things cannot continue to grow forever. Discuss Newton's Law of Cooling which uses a model to find the current temperature of an object based on its initial temperature and the air temperature and the time elapsed.
Assignment - Page 449, problems 38 - 58 evens
Wednesday - Review Chapter 3
Assignment - Page 457, problems 1 - 34
Thursday - Chapter 3 Test
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Friday - Begin the review of trig ncluding angular speed and linear speed.
Assignment - Page 472, problems 4 - 100 multiples of 4
WEEK OF FEBRUARY 6, 2012
Monday - Begin the review of trig ncluding angular speed and linear speed. Include changeing degrees to radians and radians to degrees and co-terminal angles.
Assignment - Page 472, problems 4 - 100 multiples of 4
Tuesday - Discuss the unit circle and its use with brig. Remember the basic angles and quadrant angles. Review the meaning of periodic function and the Pythagorean Identities.
Assignment - Page 486, problems 4 - 84 multiples of 4
Wednesday - Review right triangle trig. Review angle of elevation and angle of depression. Review co-functions.
Assignment - Page 498, problems 4 - 80 multiples of 4
Thursday - Put angles in the standard position and use the coordinates on the circle to find the trig value of any angle. Review the signs of the trig function in each quadrant. Review reference angles and how to find their value.
Assignment - Page 513, problems 4 - 104 multiples of 4
Friday - Quiz 1, Chapter 4
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WEEK OF FEBRUARY 13, 2012
Monday - Put angles in the standard position and use the coordinates on the circle to find the trig value of any angle. Review the signs of the trig function in each quadrant. Review reference angles and how to find their value.
Assignment - Page 513, problems 4 - 104 multiples of 4
Tuesday - Quiz 1, Chapter 4
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Wednesday - Discuss the sine and cosine functions and how their values repeat and have a range of 1 to -1. Explain what is meant by periodic. Look at the graphs of the sine and cosine. Look at the standard sine and cosine equation and discuss the meaning for each of the letters and how it affects the basic graph.
Assignment - Page 533, problems 20 - 60 multiples of 4
Thursday - Introduce the graph of the tangent function and discuss how it is different from the sine and cosine and the period is only half as long. Look at the graphs for cosecant, secant, and cotangent which are reciprocals for sine, cosine, and tangent. Look at the standard equation for these trig functions and how the letters have the same meaning.
Assignment - Page 546, problems 1 - 4, 13 - 16, 45 - 48
Friday - Introduce inverse trig functions and explain how it means the same of what we have done in the past. Practice the composition of functions and how they can be evaluated.
Assignment - Page 563, problems 4 - 72 multiples of 4
WEEK OF FEBRUARY 20, 2012
Monday -
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Tuesday -Review the graphs of all 6 trig functions and the standard equation for each.
Assignment - Page 581, problems 68 - 92 multiples of 4 and 94 - 112 all
Wednesday - Quiz 2, Chapter 4
Assignment
Thursday - Applications using trig functions. Review angles of elevation and depression and inverse functions.
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Friday - Continue work with applications.
Assignment -0 Page 574, prolbmes 4 - 60 multiples of 4
WEEK OF FEBRUARY 27, 2012
Monday -
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WEEK OF MARCH 5, 2012
Monday - Apply concepts of trigonometry with any triangle including obtuse and acute by using the Law of Sines. Look at the ambiguous case where they might be no triangle, 1 triangle or 2 triangle.
Assignment - Page 652, problems 10 - 32 evens
Tuesday - Continue work with oblique triangles using the Law of Cosines
Assignment - Page 661, problems 2 - 24 evens
Wednesday - Learn where and when to use the Law of Sines and the Law of Cosines. Review bearings.
Assignment - Page 653, problems 48 - 60 evens and Page 662, problems 40 - 52 evens
Thursday - Review finding the area of a triangle using the base and height. Apply that concept along with the Law of Sines and Law of Cosines to find two other formulas to find the area of any triangle. Heron's Formula.
Assignment - Page 652, problems 33 - 38 and Page 661, problems 25 - 30
Friday - Review chapters 5 and 6
Assignment - Page 641, problems 50 - 66 evens and Page 723, problems 2 - 20 evens
WEEK OF MARCH 12, 2012
Monday - Chapters 5 and 6 Test
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WEEK OF MARCH 19, 2012
Monday - Introduce the concept of sequences and how and when they appear. Learn sequence notation, recursion, meaning of factorial, summation notation, properties of sums and how to write sums. Learn the key strokes to completing the work using the TI84+.
Assignment - Page 960, problems 4 - 60 multiples of 4
Tuesday - Look at arithmetic sequences and learn about the common differences. Find the general term of an arithmetic sequence and how to find the sum of the first n terms.
Assignment - Page 969, problems 4 - 58 evens
Wednesday - Review sequences in general and arithmetic sequences.\
Assignment - Worksheet
Thursday - Quiz 1, Chapter 10
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Friday - Look at geometric sequences and their common ratio. Find the general term of a geometric sequence and the sum of the first n terms.
Assignment - Page 983, problems 2 - 36 evens
WEEK OF MARCH 26, 2012
Monday - Find the sum of an infinite geometric series. Learn to convert a repeating decimal to a fraction. Discuss annuities and life time earnings.
Assignment - Page 983, problems 38 - 50 evens and 68, 72, 74, and 80
Tuesday - Introduce the Binomial Theorem and Paascal's Triangle. Look at the Fundamental Counting Principle.
Assignment - Page 1001, problems 2 - 48 evens
Wednesday - Review the Fundamental Counting Principle. Introduce permutations and combinations and look at how they are different and how they are the same.
Assignment - Page 1011, prolbmes 2 - 16 evens and 30 - 66 evens
Thursday - Review concepts from Chapter 10
Assignment - Page 1031, problems 4 - 52 multiples of 4 and 62 - 82 evens
Friday - Continue review of Chapter 10
Assignment - Page 1034, problems 1 - 14 and 18 - 21
WEEK OF APRIL 2, 2012
Monday - Chapter 10 Test
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Tuesday - Introduction to Calculus. Look at how it is different and the same from the math already learned. Define a limit and learn limit notation. Find the limit by making a table.
Assignment 1-45, prblems 2 - 32 evens
Wednesday - Review themeaning of a piecewise function including the graph. Find the limit of a piecewise function from a graph. Learn the meaning of one-sided limits.
Assignment - Page 1047, problems 34 - 62 evens
Thursday -
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WEEK OF APRIL 9, 2012
Monday -
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Tuesday - Review limits and piecewise functions
Assignment - Workhseet
Wednesday - Properties of limits including the limit of a constant, summ of limits, difference of limits, and products of limits. Find the limit of a polynomial and find the limit by direct substitution.
Assignment - Page 1060, problems 1 - 28
Thursday - Find the limit of a piecewise function. Learn to rationalize the numerator to find the limit by direct substitution.
Assignment - Page 1060, problems 20 - 50 evens
Friday - Discuss continuity and discontinuity.
Assignment - Page 1067, problems 1 - 34
WEEK OF APRIL 16, 2012
Monday - Review to prepare for a quiz
Assignment - Page 1070, problems 1 - 22
Tuesday - Quiz 1, Chapter 11
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Wednesday - Review the meaning of a tangent and a secant to a circle. Review the definition of slope including rate of change. Review the difference quotient. Put it all together to find a derivative which is the slope of a tangent line to a curve at a specific point.
Assignment - Page 1080, problems 1 - 14
Thursday - Review from the day before.
Assignment - Page 1080, problems 15 - 28
Friday - Find the average rate of change and the instant rate of change. Understand the position function. Find the average velocity and the ststant velocity.
Assignment - Page 1081, problems 38 - 96 evens
WEEK OF APRIL 23, 2012
Monday - Quiz 2, Chapter 11
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Tuesday - Learn the power rule to find the derivative.
Assignment - Worksheet
Wednesday - Learn the product rule when using derivatives
Assignment - Worksheet
Thursday - Learn the quotient rule when using derivatives
Assignment - Worksheet
Friday - Learn the chain rule when using derivatives
Assignment - Worksheet
WEEK OF APRIL 30, 2012
Monday- Review finding all kinds of derivatives
Assignment - Worksheet
Tuesday - Find higher order derivatives
Assignment - Worksheet
Wednesday -
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Thursday - Quiz 3, Chapter 11
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Friday - Work with implicit differentiation using 2 variables
Assignment - Worksheet
WEEK OF MAY 7, 2012
Monday - Introduce anti-derivatives and integrals
Assignment - Worksheet
Tuesday - Review all of derivatives, slopes, equations and anti-derivatives.
Assignment - Worksheet
Wednesday - Continue review
Assignment - Worksheet
Thursday - Chapter 11 test
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Friday - Review for semester test
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WEEK OF MAY 14, 2012
Monday - Review for semester test
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Tuesday - Semester Test
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Wednesday - Semester Test
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Thursday -
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Friday -
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