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Algebra II A – Outline and Pacing

Chapter 1 – Equations and Inequalities

Day 1: Properties of Real Numbers and Evaluating/Simplifying Algebraic Expressions

Warm-Ups

Write an algebraic expression: 5 less than a number

Find the perimeter:

Classwork/Homework

Sec. 1.1 – pg. 6 - #1, 3, 4, 10 -16, 23, 24, 26 - 46 (evens)Sec. 1.2 – pg. 13 - #3, 4 – 32 (evens), #33 - 55 (odds)

Exit Card – Ticket Out the Door – Homework Quiz

You drive 60 mi/hr. What is your speed in ft/sec?

Day 2: Solving One-Variable Linear Equations

Warm-Ups

Simplify:

Solve for n:

Classwork/Homework

Split the class up into 4 groups. Present each group with 4 equations to solve. Pick one person to present a solution to 1 problem (pre-selected for the group).

Sec. 1.3 – pg. 21 - #1, 13 - 18, 20 – 40 (evens), 41, 42, 43 – 71 (odds)


Evaluate: when and .

Day 3: Rewriting Formula & Equations and problem Solving Strategies & Models

Warm-Ups

Solve for b:

Solve for z:

Quiz #1a – Secs 1.1 – 1.3

Classwork/Homework

Sec. 1.4 – pg. 30 - #1, 3 – 6, 9, 13 – 17, 18 – 34 (evens)Sec. 1.5 – pg. 37 – #3 – 15 (odds), 17-26, 30, 31


Solve for y, then evaluate when :Day 4: Solving Linear Inequalities

Warm-Ups

Look for a pattern, then write an equation:

x 0 1 2 3y 60 45 30 15

Quiz #1b – Secs 1.1 – 1.5

Classwork/Homework

Work #33 in small groups. One group to present their solution.

Sec. 1.6 – pg. 44 - #1, 4 – 32 (evens), 34, 35, 37 – 51 (odds), 52 – 56, 61 - 73


Solve and graph:

Day 5: Absolute Value Equations & Inequalities

Warm-Ups

Solve and graph:

Solve and graph:

Classwork/Homework

Sec. 1.7 – pg. 55 - #1, 2, 3 – 39 (odds), 40, 45, 57, 58, 61, 83 - 98


Determine all values of g that satisfy the equation:Day 6: Homework Questions/Practice Test #1

Warm-Ups

Determine all values of p that satisfy the equation:

Classwork/Homework

30 minutes HW review60 minutes on the Practice TestDistribute key to the Practice Test on the way out


Solve the inequality and graph the solution:

Day 7: Test Review/Test #1

Warm-Ups

None

Classwork/Homework

20 minutes of “Last Chance Review”60 minutes for Test #1


Turn in Chapter 1 HW/CW Packet

Chapter 2 – Linear Functions

Day 9: Representing Relations & Functions and Finding Slope and Rate of Change

Warm-Ups

Evaluate the expression when :



Classwork/Homework

Sec. 2.1 – pg. 76 - #1 – 41 (odds), 52 – 66 (evens)Sec. 2.2 – pg. 86 - #1, 3 – 17, 18 - 26 (evens), 30, 37, 45, 56-61


Tell whether the relation, described by the set of points, is a function.

Day 10: Graphing Equations of Lines

Warm-Ups

Get an integer value or a fraction (reduced to lowest terms) for the following numerical expressions:

Classwork/Homework

(Graph paper is needed for the assignment!)

Sec. 2.3 – pg. 93 - #1 - 19 (odds), 21 - 30, 32 - 52 (every 4th item), 76 – 83


Find the slope of the line passing through the points and . Tell whether the line rises, falls, is horizontal, or is vertical.

Day 11: Writing Equations of Lines

Warm-Ups

Solve the following equation for y. Identify the slope (write it as “m = ”).

Quiz #1a – Secs 2.1 – 2.3

Classwork/Homework

Sec. 2.4 – pg. 101 - #1 – 25, 27 – 29, 30 – 44 (evens), 54, 55, 63, 69, 70, 73


Graph the equation on a half-sheet of graph paper:

Day 12: Modeling Direct Variation and Drawing Scatter Plots & Lines of Best-Fit

Warm-Ups

Write the equation in slope-intercept form of the line that has a slope of and goes through the point (3,-2).

Classwork/Homework

Work #33 in small groups. One group to present their solution.

Sec. 2.5 – pg. 109 – #3 – 29 (odds), 31 - 35, 52 - 63Sec. 2.6 – pg. 117 - #1, 3 – 20, 30 – 42


Write an equation of the line that passes through and is perpendicular to .

Day 13: Transformation of Functions, Introduced with Absolute Value Functions

Warm-Ups

The variables x and y vary directly. Write an equation that relates x and y.Then find y, when .

Quiz #1b – Secs 2.1 – 2.6

Classwork/Homework

Sec. 2.7 – pg. 127 - #3 – 26, 28 – 31


Draw a sketch of a scatterplot for which the correlation coefficient is .

Day 14: Graphing Linear Inequalities in Two Variables

Warm-Ups

Compute .

Classwork/Homework

(Graph paper and colored pencils will be needed for this assignment.)

Sec. 2.8 – pg. 135 - #1, 3 – 6, 8 – 18 (evens), 19 – 23, 29, 50 – 52, 58 – 61


Graph the function on a half-sheet of graph paper:

Day 15: Homework Questions/Practice Test #2

Warm-Ups

Determine if the point lies in the solution set for the inequality. Write TRUE if it is in the solution set or FALSE if it is not in the solution set.

Classwork/Homework

30 minutes HW review60 minutes on the Practice TestDistribute key to the Practice Test on the way out.


Graph the linear inequality in two variables on a half-sheet of graph paper.


Warm-Ups

None

Classwork/Homework




Chapter 3 – Linear Systems and Matrices

Day 17: Solving Linear Systems Algebraically

Warm-Ups

Graph the two linear equations and determine the point of intersection by inspecting the graph.

-10-9-8-7-6-5-4-3-2-1012345678910

-10-9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10

Classwork/Homework

Sec. 3.2 – pg. 76 - #3 – 40, 54


Solve the system of linear equations, using the elimination method.

Day 18: Graphing Systems of Linear Inequalities and Basic Matrix Operations

Warm-Ups

Solve the system of linear equations, using the substitution method.

Classwork/Homework


Sec. 3.3 – pg. 171 - #4 – 9, 12, 17, 19, 31 – 33Sec. 3.5 – pg. 191 - #3 – 27 (odds)


On a half-sheet of graph paper, graph the system of inequalities:

Day 19: Matrices on the Graphing Calculator and Multiplying Matrices

Warm-Ups

Use matrices A, B, and C to evaluate the matrix expression, if possible. If not possible, state the reason.

A. B.

Quiz #3 – Secs 3.2, 3.3, & 3.5

Classwork/Homework

Sec. 3.6 – pg. 101 - #3 – 29


Multiply the two matrices. If the product is not defined, state the reason.

Day 20: Using Inverse Matrices to Solve Linear Systems

Warm-Ups

Multiply the two matrices.

Classwork/Homework

Sec. 3.8 – pg. 214 – #3 – 40


Find the inverse of the matrix, .


Warm-Ups

Use an inverse matrix to solve the linear system.

Classwork/Homework



None


Warm-Ups

None

Classwork/Homework




Chapter 10 – Counting Methods & Probability

Day 23: The Counting Principle and Permutations and Combinations

Warm-Ups

An I-Pod Touch will be sold at Crazy Yo’s Electronic Emporium. Apple will make them only in black. Crazy Yo wants to give his customer’s some variety, so he orders earbuds in 4 colors (pink, green, blue, and orange) and protective cases in 3 styles (cats, monkeys, and unicorns). How many different earbud/case choices do his customers have to choose from, if they will buy one of each?

Classwork/Homework

Sec. 10.1 – pg. 686 – #3 – 17 (odds), 18 – 54 (evens), 62 – 67Sec. 10.2 – pg. 694 – #3 – 35 (odds), 38, 39, 49, 50(only work on combination problems for today)


Find the number of distinguishable permutations in the word YELLOW.

Day 24: The Binomial Theorem and Probability

Warm-Ups

We want to choose a committee of 3 people from a class of 20 students. How many different ways can this be done?

What if we assign the titles of President, Vice-President, and Secretary to these 3 committee memberes? How many different ways can this be done?

Classwork/Homework

Finish Sec. 10.2 (Binomial Expansion problems)Sec. 10.3 – pg. 701 - #1 – 31 (odds), 32, 34 – 37, 40 – 42


Use the Binomial Theorem to write the binomial expansion of .

Day 25: Probabilities of Disjoint & Overlapping Events

Warm-Ups

An integer is chosen at random from the numbers 1 through 80.

Find P(a perfect cube).

Find P(a factor of 200).

Find P(perfect cube OR factor of 200).

Quiz #10 – Secs. 10.1 – 10.3

Classwork/Homework

Sec. 10.4 – pg. 710 - #4 – 24 (evens), 28 – 39, 42 – 46


A card is randomly chosen from a standard deck of 52 cards. Find the probability of drawing a card other than a 2, P(NOT 2).

Day 26: Probabilities of Independent & Dependent Events

Warm-Ups

1. Events A and B are disjoint. , . Find .

2. ,

Classwork/Homework

Sec. 10.5 – pg. 721 – #3 – 31 (odds), 38, 40, 43 – 48


Using a standard deck of 52 cards:

Day 27: Binomial Distributions

Warm-Ups

Events A and B are dependent.

1. ,

2. ,

Classwork/Homework

Sec. 10.6 – pg. 727 – #3 – 32, 43 – 45, 50 – 58


Events A and B are dependent.

,


Warm-Ups

Calculate the probability of randomly guessing 8 correct answers on a 20-question multiple-choice exam. Each answer has 4 choices (A, B, C, or D).

Classwork/Homework



None


Warm-Ups

None

Classwork/Homework




Chapter 11 – Data Analysis and Statistics

Day 30: Finding Measures of Central Tendency and Dispersion and Applying Transformations to Data

Warm-Ups

Find the mean, median, and mode of the data set:

6, 22, 4, 15, 10, 8, 8, 7, 14, 20

Classwork/Homework

Sec. 11.1 – pg. 747 – #1 – 21 (odds), 26 – 30, 32 – 37Sec. 11.2 – pg. 753 – #2 – 16, 18, 21, 31


The data set below gives the numbers of passing touchdowns for the 12 quarterbacks who threw the most touchdowns during the 2004 NFL regular season. Find the mean, median, mode, range, and standard deviation.

49, 39, 31, 30, 29, 28, 27, 27, 27, 22, 21, 21

Day 31: Normal Probability Distributions and Standard Units & Areas Under the Standard Normal Distribution

Warm-Ups

Find the mean, median, mode, range, and standard deviation of the given data set and of the data set obtained my multiplying each data value by the constant 5.

64, 69, 68, 71, 73, 64, 73

Classwork/Homework

Sec. 11.3 – Graphs of Normal Probability Distributions WorksheetSec. 11.3 – Standard Units and Areas Under the Standard Normal Distribution Worksheet


What percentage of the area under the normal curve lies

a.) to the left of ?

b.) between and ?

c.) between and ?

Day 32: Areas Under Any Normal Curve

Warm-Ups

The college Physical Education Department offered an Advanced First Aid course last semester. The scores on the comprehensive final exam were normally distributed, and the z scores for some of the students below:

Robert: 1.10 Jaquiese: 1.70 Susan: -2.00

Joel: 0.00 Juan: -0.80 Yer: 1.60

Classwork/Homework

Sec. 11.3 – Areas Under Any Normal Curve Worksheet


Sketch the area under the standard normal curve over the indicated interval, and find the specified area: to the right of z = 0.15.

Day 33: Select and Draw Conclusions from Samples

Warm-Ups

Porphyrin is a pigment in blood protoplasm and other body fluids that is significant in body energy and storage. Let x be a random variable that represents the number of milligrams of porphyrin per deciliter of blood. In healthy adults, x is approximately normally distributed with mean and standard deviation . What is the probability that

a.) x is less than 60?b.) x is greater than 16?c.) x is between 16 and 60?d.) x is more than 60? (This may indicate an infection, anemia, or another type of

illness.)

Quiz #11 – Secs. 11.1 – 11.3

Classwork/Homework

Sec. 11.4 – pg. 769 – #3 – 24 (odds), 27, 28, 33


Assume that x has a normal distribution, with the specified mean and standard deviation. Find the indicated probability.


Warm-Ups

1. Find the margin of error for a survey that has the given sample size. Round your answer to the nearest tenth of a percent. 1100

2. Find the sample size required to achieve the given margin of error. Round you answer to the nearest whole number.

Classwork/Homework



None


Warm-Ups

None

Classwork/Homework



Turn in Chapter 11 HW/CW PacketChapter 12 – Sequences and Series

Day 36: Define and Use Sequences and Series

Warm-Ups

Write the next four terms of the sequences:

a. 1, 4, 9, 16, ________, ________, ________, ________

b. ________, ________, ________, ________

Classwork/Homework

Sec. 12.1 – pg. 798 – #1, 2 – 26 (evens) 37 – 55 (odds), 70 – 86 (evens)


For the sequence, describe the pattern, write the next term, and write a rule for the nth term.

Day 37: Analyzing Arithmetic Sequences & Series and Analyzing Geometric Sequences & Series

Warm-Ups

Find the sum of the series.

1. 2. 3.

Classwork/Homework

Sec. 12.2 – pg. 806 – #1, 2, 3 – 45 (odds) (don’t graph)Sec. 12.3 – pg. 814 - #1, 2, 3 – 53 (odds) (don’t graph)


Write a rule for the nth term of the arithmetic sequence:

5, 14, 23, 32, 41, …

Day 38: Analyzing Geometric Sequences & Series and Finding Sums of Infinite Geometric Series

Warm-Ups

Find the sum of the arithmetic series:

Find the sum of the geometric series:

Classwork/Homework

Finish Sec. 12.3Sec. 12.4 – pg. 823 - #7 – 18, 20 – 32 (evens), 47 – 57 (odds)


Write the rule for the nth term of the geometric sequence. List the first six terms.

Day 39: Using Recursive Rules with Sequences and Functions

Warm-Ups

Find the sum of the infinite geometric series, if it exists.

1. 2.

Classwork/Homework

Sec. 12.5 – pg. 830 – #2, 3 – 21, 34 – 3930 minutes on the Practice Test #12


Write a recursive rule for the sequence: 21, 14, 7, 0, -7, …


Warm-Ups

None

Classwork/Homework

Distribute Key to the Practice Test




Chapter 4 – Quadratic Functions & Factoring

Day 42: Graphing Quadratic Functions in Standard Form

Warm-Ups

Evaluate the following quadratic functions: ; ;

Classwork/Homework


Sec. 4.1 – pg. 240 - #1 – 6, 8 – 40 (evens), 44 – 46, 57, 62 – 67


Graph the function on a half-sheet of graph paper. Label the vertex and axis of symmetry.

Day 43: Graphing Quadratic Functions in Vertex or Intercept Form

Warm-Ups

Graph the function and on one coordinate graph. Label the vertex and the axis of symmetry.1. 2.

Classwork/Homework


Sec. 4.2 – pg. 249 - #1, 2, 3 – 21 (every 3rd), 22, 23, 24 – 40 (evens), 52


Graph the function and on one coordinate graph. Label the vertex and the axis of symmetry.1.

Day 44: Solve by Factoring

Warm-Ups

Write the quadratic functions in standard form:

1. from vertex form to 2. from intercept form tostandard form standard form

Classwork/Homework

Sec. 4.3 – pg. 256 - #1, 2 – 40 (evens), 41, 45 – 55 (odds), 56, 60, 65, 73 – 89 (odds)


Write the quadratic function in standard form:

Day 45: Solve by Factoring

Warm-Ups

1. Factor:

2. Solve for x:

3. Find the zeros of the function:

Classwork/Homework

Sec. 4.4 – pg. 263 – #2, 3 – 72 (every 3rd), 78 – 81


Solve the equation for w:

Day 46: Solving Quadratic Equations by Finding Square Roots

Warm-Ups

1. Factor completely:

2. Factor completely:

3. Find the zeros of the function:

Quiz #4a – Secs 4.1 - 4.4

Classwork/Homework

Sec. 4.5 – pg. 269 – #2 – 18 (evens), 19 – 33, 39, 44 – 59, 61 (b,c), 62 (b,c)


Solve the equation for q:

Day 47: Complex Numbers

Warm-Ups

1. Simplify:

2. Simplify:

3. Rationalize the denominator:

Classwork/Homework

Sec. 4.6 – pg. 279 – #2 – 32 (evens), 42 – 58 (evens), 77 – 89 (odds)


Solve the equation for x:

Day 48: Completing the Square

Warm-Ups

1. Solve the equation, simplifying all complex numbers:

2. Simplify, writing the answer in a + bi form:


Classwork/Homework

Sec. 4.7 – pg. 289 – #3 – 33 (odds), 42 – 48 (evens)


Simplify the expression:

Simplify the expression, writing the answer in a + bi form:

Day 49: Quadratic Formula

Warm-Ups

1. Solve the equation by completing the square:

2. Write the quadratic function in vertex form:

Quiz #4b – Secs 4.5 - 4.7

Classwork/Homework

Sec. 4.8 – pg. 296 – #1, 4 – 44 (evens), 75 – 80


Find the value of c that makes the expression a perfect square trinomial. Then write the expression as a binomial square:


Warm-Ups

1. Solve the equation by using the quadratic formula:

2. Use the discriminant to determine the number and type of zeros for the following quadratic function:

Classwork/Homework



None


Warm-Ups

None

Classwork/Homework




Chapter 5 – Polynomials & Polynomial Functions

Day 52: Properties of Exponents

Warm-Ups

1. Factor:

2. Solve for x:

3. Solve for x:

Classwork/Homework Sec. 5.1 – pg. 333 - #4 – 44 (evens), 49, 55 – 69 (odds)



Day 53: Evaluating & Sketching Polynomial Functions

Warm-Ups

1. Write in proper scientific notation:

2. Write in proper scientific notation:

Classwork/Homework

(Students should sketch not graph cubics & quartics.)

Sec. 5.2 – pg. 341 - #2 – 22 (evens), 23 – 27, 28 – 50 (evens), 61 – 77 (odds)


Write in proper scientific notation:

Day 54: Add, Subtract, and Multiply Polynomials

Warm-Ups

Use synthetic substitution to evaluate the polynomial function. Find .

Classwork/Homework

Sec. 5.3 – pg. 349 - #4 – 46 (evens), 52 – 55, 59 - 61, 65 – 72Start Sec. 5.4 – pg. 357 – #3 – 17 (odds), 18 – 40 (evens), 43, 45, 46, 76 – 79


Describe the end behavior of the graph of the polynomial function by completing the statement:

As , .

As , .

Day 55: Factoring & Solving Polynomial Equations

Warm-Ups

1. Subtract:

2. Multiply:

3. Factor the difference of cubes:

Quiz #5a – Secs 5.1 - 5.3

Classwork/Homework

Finish Sec. 5.4Sec. 5.5 – pg. 366 – #3 – 33 (every 3rd), 36, 37, 43, 47 – 59 (odds)


Factor completely:

Day 56: The Remainder & Factor Theorems

Warm-Ups

1. Find the real-number solutions of the equation:

2. Divide using polynomial long division:

3. Divide using synthetic division:

Classwork/Homework

Sec. 5.6 – pg. 374 – #3, 5, 6, 11 – 23 (odds), 24 – 36 (evens), 52 – 66 (evens)


Given that the factor is a factor of , factor .

Day 57: Complex Numbers

Warm-Ups

1. Simplify:

2. Simplify:

3. Rationalize the denominator:

Classwork/Homework

Sec. 4.6 – pg. 279 – #2 – 32 (evens), 42 – 58 (evens), 77 – 89 (odds)


Solve the equation for x:

Day 58: Completing the Square

Warm-Ups

1. Solve the equation, simplifying all complex numbers:



Classwork/Homework

Sec. 4.7 – pg. 289 – #3 – 33 (odds), 42 – 48 (evens)



Simplify the expression, writing the answer in a + bi form:

Day 59: Quadratic Formula

Warm-Ups

1. Solve the equation by completing the square:

2. Write the quadratic function in vertex form:

Quiz #4b – Secs 4.5 - 4.7

Classwork/Homework

Sec. 4.8 – pg. 296 – #1, 4 – 44 (evens), 75 – 80


Find the value of c that makes the expression a perfect square trinomial. Then write the expression as a binomial square:


Warm-Ups

1. Solve the equation by using the quadratic formula:

2. Use the discriminant to determine the number and type of zeros for the following quadratic function:

Classwork/Homework

30 minutes HW review

60 minutes on the Practice TestDistribute key to the Practice Test on the way out.


None


Warm-Ups

None

Classwork/Homework




Chapter 6 – Polynomials & Polynomial Functions

Day 62: Evaluating nth Roots & Using Rational Exponents and Applying Properties of Rational Exponents

Warm-Ups

Evaluate:

Classwork/Homework

Sec. 6.1 – pg. 417 – #3 – 6, 8 – 32 (evens), 33 – 37, 39, 41, 46, 52, 53Sec. 6.2 – pg. 424 – #4 – 50 (evens), 23, 52 – 59


Rewrite using radical notation:

Day 63: Performing Function Operations & Compositions and Inverse Functions

Warm-Ups

Evaluate without using a calculator:

1. 2.

Simplify using properties of radicals and/or rational exponents:

3. 4. 5.

Classwork/Homework

Sec. 6.3 – pg. 432 – #4 – 36 (evens)Start Sec. 6.4 – pg. 442 – #4 – 12 (evens), 15 – 27 (odds), 28 – 42 (evens)


Evaluate the expression using a calculator. Round to the nearest hundredth if necessary:

Day 64: Inverse Functions and Graphing Radical Functions

Warm-Ups

Find the inverse function for a. b.

Classwork/Homework

Finish Sec. 6.4Sec. 6.5 – pg. 449 - #3, 7, 9, 10, 14, 16, 17, 21, 22, 28, 29


Let , , and .

1. Find . 2. Find .

Day 65: Solving Radical Equations and Practice Test #6

Warm-Ups

1. Verify that and are inverse functions.

2. Graph the square root function. State the domain and range.

Quiz #6 – Secs 6.1 - 6.3

Classwork/Homework

Sec. 6.6 – pg. 366 – #1, 4 – 42 (evens), 43, 45, 47, 50, 52Hand out Practice Test #6


Solve the equation. Check your solution.


Warm-Ups

None

Classwork/Homework

30 minutes of “Last Chance Review”60 minutes for Test #6 (group test)



Chapter 7 – Exponential & Logarithmic Functions

Day 68: Graphing Exponential Growth Functions and Graphing Exponential Decay Functions

Warm-Ups

Make a table of values for the following three functions.

Classwork/Homework

Sec. 7.1 – pg. 482 – #3 – 5, 6 – 30 (evens)Sec. 7.2 – pg. 489 – #3 – 6, 8 – 24 (evens), 15, 27

Exit Card – Ticket Out the Door –

Graph the function; state the domain and

Day 69: Continuous Compounding and Function with e

Warm-Ups

Find the total amount of money earned at 6% interest if $1,000 is invested over a total of 5 years and the interest is compounded a.) yearly, b.) semi-annually,c.) monthly, d.) daily, e.) hourly, f.) every minute, and g.) continuously.

Time (in years)

Amount in

Account

Interest Earned at

End0 $1,000 $30.00

0.51

1.52

2.53

3.54

4.55

c. A = _________________ monthly

d. A = _________________ daily

e. A =

_________________ hourly

Time (in years)

Amount in

Account

Interest Earned at

End0 $1,000 $60.0012345

Time (in years)

Amount in

Account

Interest Earned at

End0 $1,000

5

f. A = _________________ every minute

g. A = _________________ continously

Classwork/Homework

Sec. 7.3 – pg. 495 – 3 – 15 (odds), 15 – 18, 20 – 30 (evens), 31 – 44, 48, 57


Graph the function, then state the domain and range:

Day 70: Evaluating Logarithms and Graphing Log Functions

Warm-Ups

Simplify the expressions containing e:

a. b. c.

Classwork/Homework

Sec. 7.4 – pg. 503 - #3 – 36, 37 – 49 (odds), 54 - 57


Evaluate the logarithm without using a calculator:

a. b.

Day 71: Applying Properties of Logarithms

Warm-Ups

1. Evaluate the logarithm without using a calculator:

2. Use a calculator to evaluate the logarithm. Round the result to three decimal places:

Quiz #7 – Secs 7.1 - 7.3

Classwork/Homework

Sec. 7.5 – pg. 510 – #3 – 6, 8 – 56 (evens), 62, 63


Use the change-of-base formula to evaluate the logarithm:

Day 72: Solving Exponential & Logarithmic Equations

Warm-Ups

1. Expand the logarithmic expression:

2. Condense the expression:

Classwork/Homework

Sec. 7.6 – pg. 510 – #3 – 45 (odds), 48 – 51


Solve the logarithmic equation. Check for extraneous solutions.


Warm-Ups

None

Classwork/Homework

Work on Practice Test #7.



Chapter 8 – Rational Functions

Day 74: Inverse & Joint Variation

Warm-Ups

Write a power function and whose graph passes through the given points:

a. b.

Classwork/Homework

Sec. 8.1 – pg. 555 – #1 – 29 (odds), 30 – 34, 38 – 40


Determine whether x and y show direct variation, inverse variation, or neither.

x y12 13218 19823 25329 31934 374

Day 75: Graphing Simple Rational Functions

Warm-Ups

Determine whether x and y show direct variation, inverse variation, or neither.x 1 2 3 4y 1 4 9 16

x 2 5 8 15y 60 24 15 8

x 1 4 7 10y 7.5 30 52.5 75

Classwork/Homework

Sec. 8.2 – pg. 561 – #1, 4 – 22 (evens), 23, 25 – 30 (state the equations of the asympotes also)


The variables x and y vary inversely. Use the given values to write an equation relating x and y:

State the equations of the asymptotes for the rational function:

Day 76: Graphing General Rational Functions

Warm-Ups

Find the vertical and horizontal asymptotes and then graph the rational function:

Horizontal: ___________

Vertical: _____________

Classwork/Homework

Sec. 8.3 – pg. 569 - #3 – 18


Identify the x-intercepts and vertical asymptotes of the graph of the function.

Day 77: Multiplying & Dividing Rational Expressions

Warm-Ups

Identify the x-intercepts, horizontal asymptotes, and vertical asymptotes of the graph of the rational function.

Horizontal: ___________

Vertical: _____________

x-intercepts: __________

Classwork/Homework

Sec. 8.4 – pg. 577 - #1, 3 – 5, 6 – 42 (evens)


Multiply the expressions. Simplify the result.

Day 78: Adding & Subtracting Rational Expressions

Warm-Ups

Divide the expressions. Simplify the result.

Classwork/Homework

Sec. 8.5 – pg. 586 - #1, 4 – 40 (evens)Start Sec. 8.6


Perform the indicated operation, then simplify.

Day 79: Solving Rational Equations

Warm-Ups

Perform the indicated operation, then simplify.

Classwork/Homework

Sec. 8.6 – pg. 569 - #4 – 28 (evens)Practice Test #8


Solve by cross-multiplying. Check for extraneous solutions.


Warm-Ups

None

Classwork/Homework

30 minutes of “Last Chance Review”60 minutes for Test #8 (multiple-choice test)



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