Mr. Black’s Math Class

EQ: How do I use an input/output table to graph linear equations? What is slope?

Thursday
BR: Find the slope given the following points.

1. (3, 5) and (2, 5)
2. (0, 9) and (1, 0)

Friday

BR: Quiz

Monday:

BR: Finish Quiz, Finish Cross Word Puzzle

Lesson:

1. Discuss BR.
2. Review for quiz on graphing points, linear equations using an input/output table, and slope.
3. Quiz (on Friday)
4. Cross Word Puzzle on Vocabulary.

Assignment:

Quiz (on Friday)

EQ: What is slope?

BR: Identify the x and y-coordinates of each ordered pair.

1. (-3, 4)
2. (0, -7)
3. (5, 0)
4. (-9, -2)

Lesson:

1. Discuss BR.
2. Discuss slope and its formula.
3. Discuss finding slope using the formula.
4. Discuss the four types of slope.
5. Discuss finding a missing value for a coordinate if given one point and a slope.

Assignment:

pp. 230 – 233 #13 – 33 odd, 39 – 45 odd, 73 – 89

You have the following task to complete this week.  Overall, it will force you to use most, if not all, of the skills we have learned this year.  You will be using the Internet to complete this assignment.  Here are your requirements:

You have been given the task of completing your holiday shopping during the last full week before Winter Break.  Your goal is to spend no more money than you need.  To be sure you are going to do so, you have limited the amount of money you can spend to $250.  You must purchase a gift for each member of your immediate family (mother, father, sister, brother, or who is responsible for your care).  You may also buy one gift for one friend.  Your plan is to browse many of the local retail stores online to find prices prior to buying the gifts.  For this task you must do the following:

• In a Microsoft Word document, write one sentence naming all of the members of your family and a friend, if you choose, for which you are buying gifts.

  Example:  I am planning to buy gifts for my mom, dad, Randy (my brother), Erin (my sister-in-law), and Mikey (my nephew).
  

• In the same document, create a list of the gift(s) you plan to buy for each of the person(s) you listed in number 1.
  • Each gift should have the following information contained within its description: the name of the item (as listed word for word from the web site), the web site where it was found (which store), and the price of the item.
• As you generate your list, please create a table in which you will list the total cost for each item you plan to purchase.  For instance, if you plan to purchase 4 items, you should create a table that is 6 rows and 2 columns (I will explain why there are two extra rows shortly).  In the first cell of the first column, you need to place the heading Gifts, in bold face type.  In this column, you must place the name of each item in its own cells.  In the last cell of this column, please place, in bold face type, the words Total Cost.  In the first cell of the second column, you will place the word Price.  In each of the other cells, you will place the price of the corresponding item from the first column.  The last cell of this column will be where you will place you total cost of all the items you have bought.  Below is an example, however, your prices do not have to be exactly fifty dollars for each gift, because if you do, you will not be factoring in sales tax for your purchases (which we will do later).

  Gifts	Price
  Dick’s Sporting Goods Gift Card	$50.00
  J.C. Penney Gift Card	$50.00
  Best Buy Gift Card	$50.00
  Wal-Mart Gift Card	$50.00
  Toys R Us Gift Card	$50.00
  Total Cost	$250.00

Just a little note:  If you are adding a table in Word, all you need to do is to go to Table on the menu bar.  After clicking Table, select insert then table.  A new window will pop up and ask you for the number of columns and rows.  The number of columns will be two, no matter what, and the number of rows will be two more than the number of gifts you are buying.  So, if you are buying seven gifts, you will need nine rows.

• After you have completed your table, you will then need to calculate the total cost of your items including the sales tax.  You are to assume you are purchasing all items in West Virginia, so the sales tax rate will be 6%.  In a sentence state the amount of sales tax you must pay and the total cost with the sales tax.
  
• After you state the total cost, in a few sentences, please detail the process you used to find the amount of sales tax and the total cost you paid.
  
• You finished assignment is due by the end of the day Friday, December 19. 
  When you are finished, you need to let me know so that I can come around and save your document to a flash drive.

Here is the list of stores for you to use:

Wal Mart
Best Buy
Circuit City
Target
EB Games
Old Navy
American Eagle
Abercrombie & Fitch
J.C. Penney
Sears
Game Stop
Aeropostale
Buckle
Kohl’s
Hot Topic
Dick’s Sporting Goods

This assignment will be worth 60 points and graded using a rubric.  The rubric looks like this:

EQ: How do I graph a linear equation using an input/output table?

BR: Rewrite each equation in function form by solving for y.

1. 2x + y = 20
2. 6x – 3y = -3

Lesson:

1. Discuss BR.
2. Discuss solution of an equation and graph of an equation.
3. Discuss verifying solutions of an equation.
4. Discuss graphing an equation using an input/output table.
5. Discuss horizontal and vertical lines.
6. Discuss graphing y = b equations.
7. Discuss graphing x = a equations.

Assignment:
pp. 214 # 1 – 11 in class
pg. 214 – 217 # 13 – 35 odd, 37, 41, 45, 49, 52 – 55, 81 – 86

Activities (some using computers) for December 15 – 19, 2008.

1. Blog Assignment on www.classchatter.com
2. Web Quest Activity Posted on my blog with hard copy given to each student.
3. Vocabulary Activity (Cross Word Puzzle) for Vocabulary contained in Section 6.

EQ: How do I plot points in a coordinate plane?

BR: Use the formula to find the following temperatures.

1. What Celsius temperature is equivalent to 32°F?
2. What Fahrenheit temperature is equivalent to 225°C?
3. What Celsius temperature is equivalent to -40°F?

Lesson:

1. Discuss BR.
2. Discuss coordinate plane, ordered pair, y-coordinate, x-coordinate, and ordered pair.
3. Discuss y-axis, x-axis, origin, and quadrants.
4. Discuss plotting points in a coordinate plane.

Assignment:

pg. 206 #10 – 26

Thursday and Friday:

EQ: What is a percent?

Thursday:

BR: Use to solve each of the following.

1. 34 is what percent of 102?
2. What number is 25% of 240?
3. 23 is 50% of what number?

Friday:

BR: Test

Lesson:

1. Discuss BR.
2. Discuss Review Worksheet for Percents.

Assignment:
Review sheet
Test

EQ: How can I use percent in my everyday life?

Tuesday:

BR: Find the interest and the total amount to the nearest cent.

1. $2975 at 6% per year for 5 years

Wednesday:
BR: Quiz

Lesson:

1. Discuss BR.
2. Review for Quiz using review worksheet.

Assignment:
Review worksheet
Quiz

EQ: What are exponents?

Tuesday:

BR: Write each of the following in scientific notation.

1. 3,450,000,000,000
2. 0.000000000123
3. 21
4. 23,450,000,000

Wednesday:
BR: Quiz

Lesson:

1. Discuss BR.
2. Review for Quiz (pp. 494 – 496 # 1 – 16, 21 – 32, 34 – 42)

Assignment:
pp. 494 – 496 #1 – 16, 21 – 32, 34 – 42 as review for quiz
Quiz

EQ: What is scientific notation? How is it used to demonstrate real-life numbers?

BR: Evaluate each expression.

1. 10³
2. 10^-4
3. 100²
4. 10^-8
5. 10¹⁰

Lesson:

1. Discuss BR.
2. Discuss scientific notation.
3. Discuss rewriting numbers in scientific notation in decimal form.
   1. 2.834 × 10²
   2. 4.9 × 10⁵
   3. 7.8 × 10^-1
   4. 1.23 × 10^-6
4. Discuss rewriting numbers in decimal form in scientific notation.
   1. 34,690
   2. 1.78
   3. 0.039
   4. 0.000722
   5. 5,6000,000,000
5. Discuss computing numbers with scientific notation.
   1. (1.4 × 10⁴)(7.6 × 10³)
   2. (1.2 × 10^-1) ÷ (4.8 × 10^-4)
   3. (4.0 × 10^-2)³
6. Discuss using a calculator and reading numbers in scientific notation.
   1. 0.000000748 × 2,400,000,000
   2. 0.000094³
7. Discuss real-life situations using multiplication with scientific notation.
   How much water does the Amazon River discharge into the Atlantic Ocean each year if it contributes 4.2 × 10⁶ cubic feet of water each second.
   
8. Discuss real-life situations using division with scientific notation.
   In 1867, the United State purchased Alaska from Russia for $7.2 million. The total area of Alaska is about 3.78 × 10⁸ acres. What was the price per acre?

Assignment:
pg. 473 # 1 – 15 (in class)
pp. 473 – 475 # 16 – 36, 37 – 51 odd, 53 – 57, 59 – 65 odd, 67 – 73 odd, 80 – 83

EQ: What are several of the application of percents?

Friday:
BR:

1. What is 35 increased by 8%?
2. What is the percent of decrease from 144 to 120?

Monday:
BR:

1. What is 1500 decreased by 75%
2. What is the percent of increase from 0.32 to 0.64?

Lesson:

1. Discuss BR.
2. Discuss interest.
3. Discuss formula for simple interest.
4. Discuss finding interest and total payment on a loan.
5. Discuss the amount of investment time.
6. Discuss computing total savings.
7. Discuss finding the rate of interest.

Assignment:
Teacher created worksheet.

EQ: How do I use the division properties of exponents to evaluate powers and simplify expressions?

BR: Simplify.

1. 5^-2
2. (3w²)²
3. (4vw³)²
4. (2xy³)⁴(4×2y⁵)
5. (-2r²s³)⁵

Lesson:

1. Discuss BR.
2. Discuss division properties of exponents.
3. Discuss using the quotients of powers property.
4. Discuss using the power of a quotient property.
5. Discuss using the properties to simplify expressions.

Assignment:
pg. 466 # 1 – 18 (in class)
pg. 466 – 469 # 19 – 49 odd, 67 – 70

EQ: What are several of the application of percents?

Wednesday:
BR: Find each percent increase or decrease to the nearest percent.

1. from 1 to 0.62
2. from 162 to 177

Thursday:

BR: Find each percent increase or decrease to the nearest percent.

1. from 16 to 22
2. from to

Lesson:

1. Discuss BR.
2. Discuss commission and commission rate.
3. Discuss finding commission rate.
4. Discuss sales tax.
5. Discuss finding sales tax.
6. Discuss withholding tax.
7. Discuss using proportions to find the percent of tax withheld.

Assignment:

Teacher created worksheet.

EQ: How do I evaluate zero and negative exponents?

BR: Evaluate each expression.

1. 4²
2. 2 • 1.05²
3. (-2)³
4. 3⁴ • 3³
5. 

Lesson:

1. Discuss BR.
2. Discuss negative and zero exponents.
3. Discuss Powers with negative and zero exponents.
4. Discuss simplifying exponential expressions.
5. Discuss evaluating exponential expressions.

Assignment:
pg. 459 # 1 – 10 in class
pp. 459 – 462 # 15 – 45 odd, # 71 – 80

EQ: How do I multiply exponential expressions?

Monday:
BR: Evaluate when x = 4.

1. x • x • x
2. (14 – x)²
3. x • x • x²
4. (-x) • (-x)

Tuesday:
BR: Simplify each of the following.

1. 7³ • 7⁴
2. (-2x²)²
3. 12 • 12²

Lesson:

1. Discuss BR.
2. Discuss Multiplication Properties of Exponents.
3. Discuss the product of powers property.
4. Discuss the power of a power property.
5. Discuss the power of a product property.
6. Discuss using all three properties together.

Assignment:
pg. 453 # 4 – 21 (in class)
pp. 453 – 455 #23 – 67 odd, #86 – 91, # 102 – 104