Mr. Black’s Math Class

EQ:  What is direct variation?

BR:  Find the slope of the line that passes through each of the following points.

1. (7,4) and (-1,8)
2. (1,1) and (4,-3)

Lesson:

1. Discuss BR.
2. Discuss Direct Variation.
3. Finding the value of the direct variation.
4. Writing a direct variation equation.

Assignment:
Algebra I Textbook: pp. 237 – 239 # 12 – 20 (only identify k and m), 23 – 31, 45 – 49 odd

EQ: How do the properties of exponents help to simply evaluating exponential expressions?

Monday:

BR: Evaluate.

Tuesday:

BR: Quiz Retake

Lesson:

1. Discuss BR.
2. Review Properties of Exponents.
3. Review Sheet.
4. Retake Exponents Quiz.

Assignment:

Review Worksheet – Teacher Created

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

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

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

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: 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: 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

Monday:

EQ: none

BR: none

Lesson:

1. Start Benchmark Testing

Assignment:
none

Tuesday:

EQ: none

BR: none

Lesson:

1. Finish Benchmark Testing
2. Start 2^nd Six Weeks Binder Test

Assignment:
none

Wednesday:

EQ: none

BR: none

Lesson:

1. Finish 2^nd Six Weeks Binder Test

Assignment:
none

Thursday:

No School

Friday:

No School

EQ: What is a box-and-whisker plot?

BR: QUIZ

Lesson:
Quiz on the measures of central tendency (mean, median, and mode), stem-and-leaf plots, and box-and-whisker plots.

Assignment:
QUIZ

EQ: How do I interpret the data from a box-and-whisker plot?

BR:  FREEBIE!!!!

Lesson:

1. Discuss Example 3. (pg. 377)
2. Complete pg. 378 # 9 and 10 in class.

Assignment:
Assign pp. 379 – 381 # 23, 24, 31, 32, 33, 36

EQ: What is a box-and-whisker plot?

BR: Find the mean, median, and mode.

1. 0, 1, 1, 1, 1, 2
2. 12, 15, 19, 11, 14, 17, 10

Lesson:

1. Discuss box-and-whisker plot, second quartile, first quartile, and third quartile.
2. Discuss Example 1.

Assignment:
Assign pg. 378 # 11 – 14, 15 – 21 odd