Mrs. Gunter's Algebra (formerly known as Miss Patchin)

Week of 19 April 2010

2010-04-21T13:45:00.002-05:00

Please Note: EOI DATES

Algebra 1: May 3 & 4
Algebra 2: May 10 & 13

This week:

Algebra 1
Monday - EOI Booklet
Tuesday - Test Corrections (due 4/23)
Wednesday - EOI Practice Test
Thursday - EOI Review
Friday - EOI Review

Algebra 2
Monday - EOI Booklet
Tuesday - EOI Review
Wednesday - EOI Practice Test
Thursday - EOI Review
Friday - EOI Review

Algebra I Chapter 8 Review SOLUTIONS

2010-04-13T15:42:00.000-05:00

Remember your test is Wednesday (April 14)!!

Solutions:
1) yes, domain: {0, 1, 2, 3, 4}, range: {7}; yes, domain: {-2, -1, 0, 1, 2}, range: {0, 1, 4}; no, domain: {0, 1, 2}, range: {-8, -1, 0, 1, 8}
2) yes
3) y = 2 (horizontal line with y-intercept 2); yes
4) D
5) volume of the balloon
6) independent: numbers of fans, dependent: number of buses; independent: time, dependent: height; independent: number of coins, dependent: probability
7) 11
8) 31
9) 2
10) 0, 2, 6; line with slope 1 and y-intercept 2
11) 8; 23; 10; 0
12) 1; 2; domain: -2 ≤ x ≤ 7, range: 0 ≤ y ≤ 6
13) x = 2 or x = -2; x = 0; 2; if x < -1 or x > 1
14) 55 ft
15) H(d) = 0.3d + 10
16) P(x) = 0.40 + 0.26(x - 1); P(6) = $1.70
17) linear, decreasing at a constant rate
18) curve going up, then down
19) -5
20) V shape with its vertex at (3, 0) - if you're not sure, make an input-output table
21) -2
22) 57
23) 12 or -12
24) x = 7 or x = -7
25) Upside down U shape with its vertex at (0, 0) - make an input-output table for exact values
26) for x > 1
27) 4; 4; 36; 64; 10; A = s^2

Good Luck! <3 Mrs G

Algebra II Chapter 9 Review SOLUTIONS

2010-04-12T15:42:00.000-05:00

Here are the solutions to the Chapter 9 Review for Algebra 2. Please remember that you may use a SINGLE 3x5 index card - both sides. Come prepared.

Solutions:
1) vertical asymptote: x = -2; horizontal asymptote: y = 1; x-intercepts: -5 and 2; y-intercept: -2.5
2) (5x + 34)/((x + 5)(x - 3)(x + 4)); (x + 8)/(x - 2), x ≠ -1, x ≠ 5
3) 16 in
4) y = 0
5) d = sqrt(76^2 + x^2) + 42 - x
6) (4, 0) and (-4, 0)
7) (x/48)^2 + (y/18)^2 = 1
8) hole: x = 1; vertical asymptotes: x = -1, x =2
9) skip
10) vertical parabola with f = -1, (h, k) = (0, o)
11) (sqrt(40), 0) and (-sqrt(40), 0)
12) ((x + 2)/5)^2 + ((y + 2)/4)^2 = 1
13) focus: (3, 0) and directrix: x = -3
14) (x + 4)^2 = y + 3
15) a locus of points, the difference of whose distances to the foci is constant
16) C
17) vertices: (-4/3, 2) and (-8/3, 2); foci: -2 + sqrt(85)/3 and -2 - sqrt(85)/3; asymptotes have slope 9/2 or -9/2
18) C
19) Center at (0, 0) with rectangle 4 wide and 10 tall, horizontal hyperbola
20) vertex: (3, -9); focus: (7, -9); directrix: x = -1
21) Center at (4, 3) with rectangle 6 wide and 10 tall, horizontal hyperbola
22) vertical, with (h, k) = (5, -1) and k = -1
23) skip
24) skip
25) (5/3, 0) and (-5/3, 0)
26) B
27) (2x - 19)/(x - 5)
28) (x(x - 3)(x + 8))/((x + 4)(x - 4))
29) (x + 3)^2 - ((y - 1)^2/ 2) = 1
30) vertical asymptote: x = 6; slant asymptote: y = 3x + 2
31) (w^2 + 1)/((w - 1)(w - 2))
32) (-7x + 71)/((x - 9)(x + 1)(x - 1))
33) 2t/3s; 8m; -32a^2b/27
34) (y/2)^2 = x
35) a locus of points whose distance from the focus is equal to its distance to the directrix
36) B

EOI Exams

2010-04-09T09:09:00.002-05:00

EOI (End of Instruction) Exams:

Algebra 1: May 3 & 4
Algebra 2: May 10 & 14

Booklets with information for parents and students will be sent home next week - this include practice questions and testing suggestions.

As soon as we finish the current chapters in our classes, we will be doing EOI review until testing is complete - this will consist of doing EOI-type problems, discussing testing techniques, and summarizing the topics we've covered.

REMEMBER: for this year's Freshmen & Sophomores, they MUST pass the Algebra 1 EOI to graduate high school in the state of Oklahoma. I am taking this very seriously and I hope you are too.

<3 Mrs. G

Week of 5 April 2010

2010-04-05T15:15:00.002-05:00

Hello everyone!

The Algebra 1 EOI has been tentatively scheduled for May 3 & 4.
The Algebra 2 EOI has been tentatively scheduled for May 10 & 14.

This is what's coming up this week:

Algebra 1
Monday - Section 8.5 Interpreting Graphs (p 456 1-9, 11-13; bonus 10) due 4/6
Tuesday - Section 8.6 Absolute Value Function
Wednesday - Finish Section 8.6 (p 463 1-4, 6-9, 11, 14, 15; bonus 12) due 4/8
Thursday - Section 8.7 Quadratic Function
Friday - Section 8.7 (p 468 1, 3, 4, 6-10, 14; bonus 2) due 4/12

Algebra 2
Monday - Section 9.7 Graphs of Rational Functions
Tuesday - Finish Section 9.7 (p 547 1-7, 10, 11, 15, 16; bonus 10) due 4/8
Wednesday - Section 9.8 Operations on Rational Expressions
Thursday - Finish Section 9.8 (p 555 1-8; bonus 10) due 4/12
Friday - Chapter 9 Review (we'll finish the review on Monday 4/12 and take Ch 9 Test on 4/13)

Adios!
<3 Mrs G

Week of 29 March 2010

2010-03-29T10:43:00.002-05:00

Here's what's coming up this (B) week:

Algebra 1
Monday - Section 8.2 Functions and Graphs (p 436 1 - 9; bonus 16) due 3/30
Tuesday - Section 8.3 Graphs of Real-World Situations (p 442 2-6, 8, 10, 15, 16) due 4/1
Wednesday - Section 8.4 Function Notation
Thursday/Friday - Section 8.4 assignment (p 448 1-5, 10, 12, 13 ,14) due 4/2

Algebra 2
Monday - Section 9.4 Hyperbolas (p 520 1abc, 2, 3, 5) due 3/31
Tuesday - Review Conic Sections (In Class Assignment)
Wednesday - Conic Section QUIZ
Thursday/Friday - Section 9.6 Rational Functions (p 540 1, 2, 4, 5, 14, 15) due 4/5

Very soon in both classes we will be beginning our EOI Review. As soon as I know the exact dates for our EOIs, I will be sure to announce them in class, and post them here.

<3 Mrs G

Algebra I Chapter 7 Review SOLUTIONS

2010-03-25T11:53:00.002-05:00

Algebra I students, here are the answers to each question from the Chapter 7 Review. Make sure you study!!

1) 4500(2)^4 = 72,000
2) 96(0.65)^3 = 26.36
3) y =38(1 + 0.045)^153 = $31,957.74
4) y = 33(1 + 0.045)^143 = $17,870.78
5) 3; 2; 4; 1
6) 0.71^3
7) 5^6
8) 3^11
9) c^24
10) 7.5^6 = 177,978.52; 7.5x10^6 = 7500000
11) B
12) any two exponents that subtract to 11; any two exponents that subtract to 7
13) -16/27 = 0.59
14) 2^2 g^4 = 4g^4
15) 8^3 j^4 = 512j^4
16) 1; -1; 1
17) u^3 w^3
18) x^8 z^5
19) (4a)/(b^3 c^2)
20) (3a)/(b^4 c^3)
21) 7/(w^6) = 7w^-6
22) n^-7
23) 1/81

Good luck!!

Week of 22 March 2010

2010-03-22T08:52:00.001-05:00

Hello, everyone! I hope you all had an excellent Spring Break, I know I did! How awesome was it to sleep in for a whole week?!

Here's what's going on this week in HFAA Algebra:

Algebra 1
Monday - Benchmark Tests
Tuesday - Review Exponent Properties
Wednesday - Chapter 7 Review
Thursday - Chapter 7 Review
Friday - Chapter 7 Test

Algebra 2
Monday - Benchmark Tests
Tuesday - 9.3 Parabolas
Wednesday - 9.3 Parabolas (assignment TBD)
Thursday - 9.4 Hyperbolas
Friday - 9.4 Hyperbolas

And, now, I can officially sign off as,

Mrs. Gunter :-)

8 March 2010

2010-03-08T12:18:00.002-06:00

And the countdown to Spring Break begins!! T minus 5 days! Here's what's going on in our neck of the woods (remembering, of course, that this is a B WEEK):

Algebra 1
Monday - Section 7.3/7.5 Multiplication and Exponents (p 385 2-4, 6, 19) due 3/10
Tuesday - Section 7.3/7.5 Division and Exponents (p 396 1-3, 5) due 3/10 (p 385 and 396 will be graded together as one assignment)
Wednesday - QUIZ (7.1, 7.3, 7.5); Section 7.6 Negative and Zero Exponents
Thursday/Friday - QUIZ (Chapter 7); Section 7.6 assignment (p 403 1, 4-9, 14; bonus 12) due at end of hour

Algebra 2
Monday - Section 9.1 The Distance Formula (p 491 1-5) due 3/9
Tuesday - Section 9.2 Circles and Ellipses (today we'll talk about circles)
Wednesday - Section 9.2 Circles and Ellipses (today we'll talk about ellipses)
Thursday/Friday - QUIZ (9.1, 9.2); Section 9.2 assignment (p 503 1, 2, 4, 6, 7, 9, 14, 16; bonus 12); due 3/22

And, the next time I post a "Week Of" entry, I won't be Miss Patchin anymore! :-)

So, for the last time,
<3 Miss P

Algebra II Chapter 7 Review SOLUTIONS

2010-03-04T15:42:00.000-06:00

Remember, you need to have the Quadratic Formula and General Form of a Quadratic Equation memorized for your test!

Here are the solutions for the review (remember that sqrt() is the square root of the number in parentheses, so sqrt(4) = 2):

1) 13 (the degree of a polynomial with more than one variable is the sum of the exponents, which gives us 6+6, 5+7, 6+7, 1+8, and 7+1, and the highest is 6+7 = 13)
2) 4
3) -x^10-2x^6+7x^3; -1
4) cubic (you should have to take differences 3 times)
5) quadratic (degree 2)
6) The parabola crosses the x-axis at -4 and -5, with a stretch factor of 3, which means that from the vertex to the next point on the parabola will be a vertical distance of 3. The parabola should be opening upwards
7) The parabola crosses the x-axis at -3 and -4, with a stretch factor of 3, which means that from the vertex to the next point on the parabola will be a vertical distance of 3. The negative in front of the 3 tells us that the parabola has been reflected across the x-axis, which means it opens downward
8) y = 3(x - 4)^2 + 2
9) x = -5 or x = 1/2
10) x = 0 or x = -2/5
11) (3/8, -3/32)
12) (-1, 0)
13) (2/3, 16/3)
14) (1, 0)
15) (2, 21)
16) h = -16t^2 + 139t + 35; graph is a parabola; t = 8.9 s
17) t = 1/4 s
18) x = 1
19) x = -3
20) x = 6.828 or x = 1.172
21) l = 30
22) -3 + 8i
23) 12 - 14i
24) -8 - 4i
25) -2i, 2i, sqrt(5), -sqrt(5)
26) x = (plus or minus) i*sqrt(5)/4
27) 4x^3 + 8x^2
28) -0.2x^3 + 2.38x^2 - 3.5x - 23.0736
29) x-intercepts: -2, 1; minimum: -4
30) factored form, 2x^2 - 10x + 12, 2(x - 2.5)^2 - 0.5; vertex form, -7x^2 + 14x - 5, use the quadratic formula to get the roots for factored form; general form, (x+1)^2 + 5, use the quadratic formula to get the roots for factored form
31)vertex form, 5x^2 - 20x +17, use the quadratic formula to get the roots for factored form; factored form, -3x^2 + 21x - 36, -3(x - 3.5)^2 + 0.75; general form, (x - 2)^2 + 2, (x - (2+i*sqrt(2))(x + (2 - i*sqrt(2))

Week of 1 March 2010

2010-03-02T08:57:00.004-06:00

Algebra 1
Monday - Chapter 6 Packet
Tuesday - Chapter 6 Procedures and Examples
Wednesday - Chapter 6 Procedures and Examples; In-Class Assignment (12 problems, on board)
Thursday - Chapter 6 Test
Friday - Chapter 6 Test Corrections

Algebra 2
Monday - Factoring (WS)
Tuesday - Table Method of Factoring (Finish WS)
Wednesday - Chapter 7 Review
Thursday - Chapter 7 Review
Friday - Chapter 7 Test

Algebra II Factoring Problems

2010-03-02T08:57:00.003-06:00

Factor each quadratic equation completely. Remember to factor out the GCF first, if you can!!!
1. x^2 - 24x + 144
2. x^2 - 20x + 100
3. 64x^2 + 16x + 1
4. x^2 - 49
5. x^2 + 6x - 55
6. 9x^2 - 49
7. 81x^2 - 1
8. 9x^2 + 24x + 16
9. x^2 - 64
10. x^2 - 5x - 84
11. 49x^2 - 168x + 144
12. 25x^2 - 60x + 36
13. x^2 - x - 110
14. x^2 - 16
15. 25x^2 - 36
16. x^2 - 14x + 24
17. 49x^2 - 144
18. x^2 + 7x + 10
19. x^2 - 18x + 81
20. 25x^2 - 120x + 144
21. 49x^2 - 1
22. 25x^2 - 144
23. x^2 + 2x + 1
24. x^2 - 14x + 33
25. x^2 - 81
26. x^2 - 23x + 132
27. x^2 - 144
28. 81x^2 - 100
29. x^2 - 8x + 7
30. 36x^2 + 60x + 25
31. Write each step for factoring a trinomial with a = 1. How is this different from
factoring a trinomial with a ≠ 1?
32. Write each step for factoring a trinomial with a ≠ 1. What did we call this method?

Week of 22 February 2010

2010-02-22T11:58:00.001-06:00

Three weeks till Spring Break everyone!!! We can make it!

Here's what's going on this week (B WEEK):

Algebra 1
Monday - 2nd hour finish tests; 5th, 7th hours bonus work
Tuesday - 7.2 Exponential Equations
Wednesday - 7.2 assignment (p 378 1-3, 5, 6, 9; bonus 14)
Thursday/Friday - 7.6 Zero & Negative Exponents

Algebra 2
Monday - Finish up 7.5 Complex Numbers (p 394 1-7, 9-11, 13, 14; bonus 8) due 2/23
Tuesday - 7.6 Factoring Polynomials
Wednesday - 7.6 assignment (p 402 1-4, 6-8, 11-13; bonus 10) due 2/26
Thursday/Friday - Chapter 7 Review

There will be a Chapter 7 Test for Algebra 2 on MONDAY 1 MARCH 2010.

Week of 15 February 2010

2010-02-15T12:01:00.002-06:00

Hey everyone - I apologize for not getting last week's schedule up! If you need any of the assignments, let me know in class or email me - mpatchin@hardingfinearts.org

This week, however, this is what we're looking at:

Algebra 1
Monday - Section 6.7 Systems of Inequalities with in-class assignment
Tuesday - Section 6.7 assignment (p 358 1-5, 7, 10, 11, 16; bonus 12) due 2/17
Wednesday - Chapter 6 Review
Thursday - Chapter 6 Review
Friday - Chapter 6 Test

Algebra 2
Monday - Section 7.4 Quadratic Formula with in-class assignment
Tuesday - Section 7.4 assignment (p 388 1-10, 14, 15; bonus 12) due 2/18
Wednesday - Begin Section 7.5 Complex Numbers
Thursday - Finish Section 7.5
Friday - Section 7.5 assignment (p 394 1-7, 9-11, 13, 14; bonus 8) due 2/22

Th-th-th-that's all folks! (are you guys too young to know where that's from?)
<3 Miss P

Algebra I Quiz Solutions

2010-02-04T15:00:00.001-06:00

Some helpful information:
point-slope form: y = y1 + m(x - x1)
slope-intercept form: y = mx + b
slope formula: m = (y2 - y1)/(x2 - x1)

1) Use two points in the table to calculate the slope: (3, 12) and (7, 24). m = (24 - 12)/(7 - 3) = 12/4 = 3. Use any point to write the equation in point-slope form. (3, 12). y = 12 + 3(x - 3)

2) Use the points on the graph to count the slope. From the first to the second point (left to right), I count up 2, right 1, which gives me the slope 2/1 = 2. The y-intercept is at 2, so my equation in slope-intercept form is y = 2x + 2.

3) Same process as #2. The slope is counted down 3, right 2, which gives me a slope of -3/2 = -1.5. The y-intercept is 6, so my equation is y = -1.5x + 6.

4) Use the slope formula: m = (-4 - -1)/(9 - -4) = (-4 + 1)/(9+4) = -3/13

5) m = (-4 - 4)/(-4 - 3) = -8/-7 = 8/7

6) m = (0 - 0)/(1 - 0) = 0/1 = 0

Week of 1 February 2010

2010-02-03T11:01:00.002-06:00

Welcome back from Winter Break Pt. 2!! Hope you guys enjoyed the break, because if we had to hurry before, we definitely need to hustle now!!

Here's what's on tap this week:

Algebra 1
Monday - NO SCHOOL
Tuesday - NO SCHOOL
Wednesday - Start Section 6.2 Solving Systems of Equations with Substitution
Thursday - Short quiz; Finish 6.2 and start the assignment p 320 (1-7, 9, 14; bonus 10) due 2/8/10
Friday - Start Section 6.3 Solving Systems of Equations with Elimination

Algebra 2
Monday - NO SCHOOL
Tuesday - NO SCHOOL
Wednesday - Start Section 7.2 Equivalent Quadratic Forms
Thursday - Finish Section 7.2 and start the assignment p 372 (1-5, 8, 9, 11, 13-16; bonus 12) due 2/8/10
Friday - Start Section 7.3 Completing the Square

Algebra II Chapter 5 Review SOLUTIONS

2010-01-25T15:00:00.000-06:00

Solutions are listed below with work provided for some questions. Answers for different parts of one question are separated by semicolons - i.e. for 1) a, b, c the solutions would be written 1) solution to a; solution to b; solution to c. So, without further ado:

Solutions
1) 0.82^6 = 0.3
2) 5*4^2.4 = 139.3
3) for t = 0, y = 4^7; for t = 3/2 = 1.5, y = 4^7 * 4^1.5 = 4^8.5 = 131,072
4) y = 50(2)^x (exponential function with starting value 50 and a growth rate of 2)
5) (xz/w^5) + (x^2/w^3)
6) x = -4
7) x = 4; x = 2
8) 2
9) 4
10) 12x^6
11) Use the points to write two equations in point-ratio form, then solve for b to get y = 0.277(3)^(x+1) or y = 0.031(3)^(x+3)
12) y = 6(2)^x
13) put 70 in for p to get s =45.68; put 50 in for s to get p = 120.43
14) y = 4800(2)^t; y = 4800(2)^4 = 76,800
15) y = 6x + 9
16) y = (x^2 + 6x + 1)/(-8)
17) y = (x - 2)/3; yes - there is only one output for each input
18) The graphs should be reflections about the line y = x. The inverse function should be y = (x + 2)/3
19) Find the inverse function, then put 6 in for x. You should get -2. Put -2 in the original function for x. The end result should be what you started with: 6. This is because composing a function with its inverse will undo itself.
20) -8
21) 8
22) x = 1.97 (remember that 4.7 should be the base and 21 should be a)
23) 4
24) -7
25) 3.17
26) To begin, take the log of both sides then use the power property of logarithms to bring the exponent down. You should get x = 5.03
27) 2.2694 (d)
28) Use your logarithm properties to simplify! Remember that taking the antilog of something leaves you with what you started with - i.e. if I had log x, then 10^log x = x. If I had log 2, 10^log 2 = 2, and so on. So if I had log (x-6)/(x-1), 10^log (x-6)/(x-1) = (x-6)/(x-1) and if I do it to one side, I have to do it to the other, too! x = 36
29) True - this is the quotient property of logarithms
30) log (base p) 4. You should use the power property and quotient property to simplify.
31) 3rd root of m squared; 4logb; logx / log7; y/x^2; 2^(3x + 3y); log10/3
32) 4.19; 0.001; 0.4; -8.46; 2.40, -2.40; 6
33) Write an exponential equation with a = 23000, b = 1 - 0.17. Set it equal to 10000, then solve for x. x = 4.47 years (about 4 years, 6 months)
34) ((x + 1)/2)^2 - 3; 13/4; 6
35) a = 7.44, b = 22.89; 0.47; $48.94; 2.14 hours (2 hours, 8 minutes)
36) y = ((x-3)/5)^2 + 2; 51/25; 5

Please email me at mpatchin@hardingfinearts.org if you have any questions!! I should be at school until around 4:30 today.

Week of 25 January 2010

2010-01-25T10:42:00.002-06:00

Remember this is a B Week!!

Algebra 1
Monday - Quiz; Start Section 6.1 Systems of Equations
Tuesday - Finish Section 6.1 and do assignment (p 311 1, 2, 5, 8, 11, 13, 16; bonus 6) due 1/27
Wednesday - Section 6.2 Subsitution
Thursday/Friday - Finish Section 6.2 and do assignment (TBD)

Algebra 2
Monday - Chapter 5 Review (solutions posted at 3:00 pm)
Tuesday - Chapter 5 Test
Wednesday - Section 7.1 Polynomial Degree and assignment (TBD)
Thursday/Friday - Section 7.2 Equivalent Quadratic Forms and assignment (TBD)

Have a great week!!

Algebra I Chapter 5 Test Review SOLUTIONS

2010-01-19T15:00:00.001-06:00

The solutions to each question are listed below. Each part of a question is separated by semicolons - i.e. If there was 1) (a) (b), the answer would be listed 1) answer to a; answer to b.

Solutions:
1) add 9 to both sides; multiply by 8 on both sides
2) R = D/2; w = (P/2) - l; r = d/t; h = 2A/b
3) h = 3.5
4) k = 4
5) x = -2.45 (rounded to 2 decimal places)
6) rate of change ~ -167 dollars per year
7) C
8) plot points; connect using line segments; 1994 to 1996
9) -3/4; use the slope formula (6-9)/(2+2) = -3/4 so yes it is on the line; (10, 0)
10) -0.5; 1; 1
11) (9, 15) and (17, 22)
12) undefined
13) 0
14) y = 2x + 7
15) y = 26x + 800; $3192 for 92 people
16) y = -8 + 6(x - 3) or y = 6x - 26
17) y = 7 + 8(x -5) or y = -1 + 8(x - 4)
18) y = 2x - 10
19) y = 2x - 8
20) yes
21) no
22) no
23) (18 - 5) - v or 13 - v
24) y = 2x + 4; y = 0.5x - 2.5; y = -4x - 5
25) y = 30300 + 900(x - 11) or y = 900x + 20400

Week of 19 January 2010

2010-01-19T11:32:00.002-06:00

Algebra 1
Monday - NO SCHOOL
Tuesday - Chapter 5 Review (answers will be posted after 3:00 pm 1/19)
Wednesday - Chapter 5 Test
Thursday - Section 6.1 Solving Systems of Equations
Friday - Finish Section 6.1 and do assignment (p 311 1, 2, 5, 6, 8, 13, 16; bonus 10) due 1/25

Algebra 2
Monday - NO SCHOOL
Tuesday - Section 5.6 Logarithmic Functions
Wednesday - Finish Section 5.6 and do assignment (p 276 1-7, 10, 13; bonus 12) due 1/22
Thursday - Section 5.7 Properties of Logarithms
Friday - Finish Section 5.7 and do assignment (p 282 1-5, 8; bonus 12) due 1/25

Week of 11 January 2010

2010-01-13T09:25:00.002-06:00

How about that weather last week?! Since we were out of school Friday, the schedules from this week and last will appear to overlap, but... they didn't.

Don't forget this is a B Week!
Algebra 1:
Monday - Section 5.4 Equivalent expressions
Tuesday - Finish Section 5.4 and do assignment (p 279 1-10; bonus 14) due 1/13
Wednesday - More practice solving Equations (WS)
Thursday/Friday - Algebraic Scavenger Hunt

Algebra 2:
Monday - Section 5.3 Rational Roots and Exponents (p 256 1-4) due 1/12
Tuesday - Finish Section 5.3 and do assignment (p 256 1-5, 11, 13-15; bonus 10) due 1/13
Wednesday - Section 5.5 Building Inverse Functions
Thursday/Friday - Finish Sectino 5.5 and do assignment (p 269 1-4, 6, 8, 9, 12, 15, 16, 18; bonus 14) due 1/15

Have a great week, everyone!
<3 Miss P

Week of 5 January 2010

2010-01-06T11:20:00.002-06:00

Algebra 1:
Monday - NO SCHOOL
Tuesday - Benchmark 2
Wednesday - Short review of 5.1 & 5.3, in class assignment (3 questions)
Thursday - 5.4 Equivalent Expressions
Friday - Finish 5.4 and assign p 279 1-10 (bonus 14) due 1/11

Algebra 2:
Monday - NO SCHOOL
Tuesday - Benchmark 2
Wednesday - Short review of 5.1 & 5.2, in class assignment (5 questions)
Thursday - 5.3 Rational Roots and Expressions
Friday - Finish 5.3 and assign p 256 1-5, 11, 13-15 (bonus TBD) due 1/11

Gotta hit the ground running to get everything done!

Welcome Back!!

2010-01-04T21:04:00.003-06:00

Hey everyone! I hope you all had a great break, I know I did. Here's a summary as evidence:

The HFAA Faculty Christmas party - such fun people and yummy food! It was a blast!
Sleeping in as late as I wanted
Christmas with my extended family - 4 generations!
Not getting up early
Keeping my nephew for 3 days
Devon (my fiance, remember) bought a new truck! It's a Hybrid... hello better gas mileage!
Getting up late
THE BLIZZARD - how awesome was it?! Our fence blew over. Dogs are safe, though, which is good. Oh and can you say 14 INCHES OF SNOWY GOODNESS? I like the snow. Especially when I'm inside with a cup of hot chocolate!
Going to visit my parents - we stayed 2 nights, our dogs had a great play-date with my mom's dogs. Picture this if you will: 1 German Shepherd (~100 pounds), 1 Australian Shepherd (~40 pounds), 1 Aussie/Border Collie (~50 pounds), and 1 Maltese (~10 pounds) and 4 grown adults, then adding a 9 year-old the second night ALL in a 2 bedroom house :-) It's amazing I didn't fall and break something with all the dogs underfoot!
SLEEPING as much as I wanted
Getting a new classroom with ENOUGH DESKS for everyone! Hooray!!!
Did I mention that I liked sleeping in?

----------------------------------------------------------

All kidding aside, I hope that we're all ready to hit the ground running this semester because we still have a lot to cover before the EOIs in April.

Also, remember that I'm now located in room 407, which is the old Spanish room. You can't miss my letters above the door, though, so hopefully no one will be too lost! See you guys then!!

<3>

Algebra I and II Semester Final Solutions

2009-12-16T14:55:00.000-06:00

The solutions to each of the reviews is below. The parts of each question are separated by semicolons (;) - i.e. 1) a; b; c

A few topics to look at:
Algebra I: slope-intercept form, the slope formula, writing the equation of a line, point-slope form, definition of slope and what it looks like if the slope is +, -, 0, and undefined
Algebra II: exponent properties (table on p 246), general form of exponential and power functions, solving exponential functions by getting common bases, difference between exponential and power functions

Algebra I:
5.1 A Formula for Slope
1) 3; -1/3; undefined
2) 4/5; -0.76; -3; undefined
3) (0, -1), (6, 3); (3, 1), (5, 3); (1, 8), (9, -2); (1, 6), (2, 6); (-5, -5), (-3, -9); (1, -8), (15, -2)
4) y = 2 + x; y = 4 - x; y = 2 - 2x; y = -0.25x

5.3 Point-Slope Form of a Linear Equation
1) m = 2, (1, 3); m = -3/4, (-1, -7.4); m = 6/7, (-5, -4.1); m = -1, (2, 0)
2) y = 3 + 2(x - 4); y = 7 - 2/3(x + 6); y = 4
3) 1.5; y = -10 + 1.5(x + 4); y = -5.5 + 1.5(x + 1)
4) 6/5; y = 81 + 6/5(x - 80) or y = 75 + 6/5(x - 75) or y = 69 + 6/5(x - 70); no, no
5) y = 3+2(x-1) or y = 7+2(x-3); y = 7; y=7-2(x-5) or y=3-3(x-7); y=3

Algebra II:
5.1 Exponential Functions
1) 31.25; 20.189; 10.63; 219.62; 427.963; 21.9282; 3305.07; 2515.0376
3) 5, 15, 45; 250, 125, 62.5; 15.5, 17.05, 18.755; 0.75, 1.65, 3.63; 575, 46, 3.68; 66, 66.66, 67.3266
4) decay; growth; growth; decay; growth; decay
5) 0.75, 25% decrease; 1.125, 12.5% increase; 2.25, 125% increase; 0.888, 11.1% decrease; 0.88, 12% decrease; 1.6, 60% increase
6) 1 = 14700, 2 = 12348, 3 = 10372, 4 = 8713, 5 = 7319; y = 17500(0.84)^x or y = 17500(1 - 0.16)^x

5.2 Properties of Exponents & Power Functions
1) 1/9; 1/64; 1/625; 1/25; 1/343; 1/1000000; -1/256; 1/256; -1/125; 32; -25/9; 36/25
2) x^13; x^7; x^-15; 36x^8; 120x^-11; -120x^-20; x^18; 11x^7; 1.4x^5; x^2; 125x^15; -0.008x^18
3) x = -5; x = 2/3; x = -4; x = -7; x = -2; x = 4/3
4) 3.89; 116.55; 0.09; 5.62; 0.39; 578703.70; 0.91; 1.5; 0.79

Week of 14 December 2009

2009-12-14T15:16:00.002-06:00

5 more days and counting!

This is what's happening this week:

Algebra I:
Monday - 5.3 Point Slope Form of a Line
Tuesday - Finish up 5.3 and work on the assignment (p 272 1-3, 7-9, 13; bonus 6) due 12/16
Wednesday - Review for Final Exam
Thursday - Final Exam
Friday - Grade Final Exams/Benchmark/Clean out Notebooks

Algebra II:
Monday - 5.2 Properties of Exponents and Power Equations
Tuesday - Finish up 5.2 and work on the assignment (p 248 1-6, 10, 13, 15, 16; bonus 14) due 12/16
Wednesday - Review for Final Exam
Thursday - Final Exam
Friday - Grade Final Exams/Benchmark/Clean out Notebooks

Junior ACT Math Practice Solutions

2009-12-11T10:45:00.000-06:00

Correct Answers are as follows:

1. D
2. G
3. E
4. K
5. A
6. F
7. D
8. K
9. D
10. K
11. D
12. F
--------
1. D
2. H
3. C
4. J
5. B
6. H
7. D
8. H
9. C
10. G
11. C
12. F

I'd be more than happy to help you work these if you're not sure how to get the answer! I'm in the library for tutoring on Wednesdays and usually in my room after school for a while.

Week of 7 December 2009

2009-12-10T11:54:00.002-06:00

On the downhill slide, now, towards Winter Break! Hooray!
(If we made a graph, would the slope be positive or negative?)

Here's this week's agenda:

Algebra I:
Monday - Section 5.1 A Formula for Slope
Tuesday - Finish Section 5.1 (p 256 1 - 3, 5 - 7, 9, 12, 15; bonus 8) due 12/9
Wednesday - Extension for p 256, due to Online Book malfunction Tuesday night
Thursday/Friday (B week) - Chapter 4 Test Corrections

Algebra II:
Monday - Section 5.1 Exponential Functions
Tuesday - Finish Section 5.1 (p 240 1, 3*, 4, 5bcd, 6, 8, 10; bonus 16; *do not write a recursive formula) due 12/9
Wednesday - Extension for p 240, due to Online Book malfunction Tuesday night
Thursday/Friday (B week) - Chapter 4 Test Corrections

Chapter 4 Review Keys (Algebra I and II)

2009-12-03T15:00:00.001-06:00

Algebra I - Chapter 4 Review Key
Each answer is listed below. For questions with more than one part, the answers are separated with a semicolon (;).
[1] 2 x 3 / (4 - 5); (2 + 4) / 2 x 7
[2] (1 x 12 + 5) / 9 or 17/9
[3] $40,768
[4] $4.05; $5.79; $6.45
[5] Starting Numbers: 9, 1, -2.5, x
Subtract 3: 6, -2, -5.5, x-3
Multiply by 2: 12, -4, -11, 2(x - 3)
Add 4: 16, 0, -7, 2(x-3) +4
Divide by 2: 8, 0, -3.5, (2(x-3) + 4)/2
Subtract original number: -1, -1, -1, (2(x - 3) + 4)/2 - x
[6] 64
[7] x = 34
[8] 7
[9] [C]
[10] 2
[11] 12, 14, 16; 22
[12] 520
[13] 16.9, 10, 3.1, -3.8, -10.7, -17.6
[14] {Ans + 1, Ans + 2} Enter, Enter
[15] Graph with points at (0, -5), (1, -3), (2, -1), (3, 1), and (4, 3)
[16] Graph of a line with points at (0, 2), (2, 5), (3, 7), etc
[17] [B]
[18] (-2, 4), (0, 2), (2, 0), (4, -2) and (6, -4); (0, 2)
[19] y = -1 - 2x
[20] y = -5 - 3x
[21] The y-intercept is the constant.
[22] y = 15 + 2x, y-intercept = 15
[23] Input: -3, 4, 6
Output: -7, 0, 2
[24] Row 2: 5, -16.7, 2, 0.92, 0.46
Row 3: 9, -14.86, 4, 1.84, 0.46
Row 4: 16, -11.64, 7, 3.22, 0.46
Row 5: 19, -10.26, 3, 1.38, 0.46
Row 6: 25, -7.5, 6, 2.76, 0.46
Row 7: 26, -7.04, 1, 0.46, 0.46
[25] Start at 1. Rule: +2
[26] 4 = 2x; 2 = x
[27] add 9 to both sides; multiply both sides by 8
[28] h = (2A)/b
[29] a = 8.9
[30] j = 6
[31] x = -3
[32] x = 343

Algebra II - Chapter 4 Review KEY
[1] 6:40 pm
[2] Sample answer: most people buy plants in the spring and early summer. The sales for the nursery rise in the spring and summer and fall off dramatically in the fall and winter.
[3] The car's speed is first measured at 3 mph, then the car increases speed to 5 mph, decreases speed to 2 mph, and then stays at that speed.
[4] graph Kim's distance v time or speed v time.
[5] no relation
[6] linear; y = 5x - 4
[7] 20
[8] x = 3, x = 5
[9] Yes
[10] Yes
[11] y = x + 2
[12] -7; -12; -7x - 12
[13] [B]
[14] 4x - 3y - 21 = 0
[15] It is translated right 3 units and down 2 units.
[16] g(x) = x - 13; The graph of g(x) is the graph of f(x) translated down 18 units.
[17] (0, 0)
[18] y = (x + 7)^2
[19] Right 2, up 4
[20] Graph of the square root of x moved down 2 units
[21] The graph of the square root of x moved left 3 and down 2; the graph of the square root of x reflected across the x-axis, reflected across the y-axis, then moved down 4.
[22] The graph of the line reflected across the x axis. The new lines equation would be y = 2x + 4
[23] g(x) = -(x + 1)
[24] the graph of the absolute value of x moved left 2 and down 5
[25] g(x) is the reflection of f(x) across x-axis.
[26] graph of the absolute value of x reflected across the x-axis and translated down 5
[27] vertical stretches by a factor of 5 and translated down 5 units
[28] (-9, -6)
[29] x^2 + y^2 = 1
[30] (x^2)/16 + (y + 3)^2 = 1
[31] x^2 + ((y - 15)^2)/25 = 1
[32] Sample answer: When written in standard form, the equations have the same terms, one involving the square of x and the other involving the square of y, added together. In both equations, the values of h and k indicate the center of the graph, and the values of a and b indicate the vertices. The equations are different in that the terms of the ellipse equation have unequal scale factors, while the terms of the circle equation have equal scale factors.
[33] (x^2)/9 + (y^2)/25 = 1
[34] g(f(x)) = 5 - 6x
[35] -2/3; 2704; -(2x^2)/9 - 8x/3 - 8
[36] y = sqrt(1 - x^2); y = |x|; y = sqrt(x); y = |x|
[37] x = 1 or x = 13
[38] g(f(x)) = (3x^2)/25 - 6x/5 + 3
[39] graph translated up 2 and left 3; graph translated down 3 and shrunken horizontally by a scale factor of 2 (it's half as wide); graph reflected across the x-axis, stretched vertically by a scale factor of 2 (twice as tall), translated down 1 and left 1
[40]

[41]
the order matters for A and B but not for C and D. The final equations when A is applied irst are different from the final equations when B is applied first, but the final equations when C are applied first are the same as the final equations when D is applied first.

30 November 2009

2009-11-30T15:14:00.003-06:00

I hope that everyone had a great Thanksgiving! We're now on the downward slope toward Winter Break and we still have quite a bit to accomplish. I'm hoping to be finished with chapter 5 for Algebra I and II, that's the midway point!!

Here's the breakdown for this week:
Algebra I:
Monday - Section 4.8 Solving Equations Using the Balancing Method (p 237 1-7, 9-12; bonus 14) due 12/2
Tuesday - Working on Section 4.8 assignment due 12/2
Wednesday - Review Chapter 4 (With Alg-eopardy if all goes well!)
Thursday - Review Chapter 4
Friday - Chapter 4 TEST

Algebra II:
Monday - Section 4.8 Composition of Functions (p 228 1-4, 6, 9, 10, 16; bonus 12) due 12/2
Tuesday - Working on Section 4.8 assignment due 12/2
Wednesday - Review Chapter 4
Thursday - Review Chapter 4
Friday - Chapter 4 TEST

<3 Miss P

Week of 23 November 2009

2009-11-23T14:53:00.002-06:00

Thanksgiving is almost here! Hooray!!

Also, I had a great time in Nashville at the NCTM Regional Conference - which has been rumored to be the largest (most-attended) NCTM Regional conference to date! There were about 5,000 math teachers (PreK-higher ed) attending... it was awesome!

Anyway, on to this week:

Algebra I:
Monday - Section 4.7 Linear Equations and Rate of Change (p 229: 1-3, 5-9, 11; bonus: 12) due 11/24
Tuesday - it's a surprise!

Algebra II:
Monday - Reveiw Section 4.7 Transformations and the Circle family
Tuesday - p 220 1-5 and WS 4.7 all

I hope everyone has a great Thanksgiving. I'm very thankful for all of my students, who made sure to tell me how much they missed me while I was gone and who inspire me every day to be better at what I do. I'm thankful for the parents who are working with me constantly to ensure their student's success at school and in my class. I'm thankful for my family who have been with me every step of the way to where I am today. I'm thankful for an amazing HFAA faculty/staff/administration - who would want to work anywhere else?!

<3 Miss P

Week of 16 November 2009

2009-11-16T11:08:00.003-06:00

Remember, everyone, that I will be in Nashville, TN at the National Council of Teachers of Mathematics (NCTM) Regional conference from 18 - 20 November (Wednesday through Friday). The substitute we will have WILL be able to assist with math homework, so never fear! We will keep moving!

This is the plan:
Algebra I: B WEEK
Monday - Section 4.3 (Recursive Sequences) (p 202: 1-5, 7) due 11/17
Tuesday - Section 4.4 (Linear Plots) notes, etc
Wednesday - Section 4.4 assignment (p 209: 1-5, 11-13, 15) due 11/19
Thursday/Friday - Section 4.6 (Linear Equations - Intercept Form) (p 220: 1-4, 6, 7, 11, 13) due 11/23

Algebra II: B WEEK
Monday - Start Section 4.6 (Stretches/Shrinks and the Absolute Value Family)
Tuesday - Finish Section 4.6 (p 214: 1-5, 7, 10, 11) due 11/19
Wednesday - Section 4.7 (Transformations and the Circle Family) notes from book
Thursday/Friday - Section 4.7 assignment (p 220: 1-8, 15 and WS 4.7: all) due 11/24

I will miss all of your bright, smiling faces while I'm in Nashville!!!

Miss P

Week of 9 November 2009

2009-11-09T15:00:00.006-06:00

Two more weeks till Thanksgiving Break! We can make it!!

Algebra I:
Monday - Chapter 3 Test!
Tuesday - Section 4.1 (Order of Operations and the Distributive Property) (p 187: 1-9, 11, 13, 17) due 11/11
Wednesday - Section 4.2 (Writing Expressions)
Thursday - Section 4.2 assignment (p 195: 1 - 9) due 11/13
Friday - Questions on homework and grade

Algebra II:
Monday - Section 4.4 (Translations of Quadratics) (p 197: 1-8, 10; bonus 13) due 11/11
Tuesday - Questions on p 197, WS 4.4 all for extra practice; due 11/12
Wednesday - Section 4.5 (Reflections and the Square Root Family)
Thursday - QUIZ (4.1 - 4.5) finish Section 4.5 (p 204: 1-5, 9-12) due 11/16
Friday - Work on Section 4.5 assignment in class

Algebra I Chapter 3 Test Review SOLUTIONS

2009-11-06T15:00:00.000-06:00

Check your answers while you study!!

Page 1.

direct
product
inverse
ratio
constant, variation
ratio
constant

Page 2.

1.5 minutes per page, 0.67 pages per minute, 60 min, 50 pages
0.83 minutes per piece (rate), so it will take 416.7 minutes or 6.9 hours
24 mph (24 miles), 2.5 hours, 126 miles, 6.25 hours
About 2 letters per day, 568 million, 156403000 letters

Page 3.

7.6 m, 13.1 ft, 3.8 m, 23.0 ft
91.4 cm, 15.8 in, 5.9 in, 2.0 cm
21, 33.6, 4, 0.25, 3.15, 0.18
5.63, 47.92, 24.67, 249.69
3, 6.5, 24, 17, 0.19, 4.67

Page 4.

4, 0.25, 8, 6, 0.3, 0.02
2, 0.8, 160, 2.5
Some possible answers: (1, 18), (18, 1), (2, 9), (9, 2), (3, 6), (6, 3)
You should write the equation st = d (s = speed, t = time, d = distance). 0.24 s, 4.88 s, 1505 meters per second

Happy Studying - I hope you all have a good weekend!!!

Week of 2 November 2009

2009-11-05T08:38:00.002-06:00

B week everyone!!

Algebra I:
Monday - Section 3.2 (direct variation) (p 149: 1 - 5, 10, 11; bonus 8) due 11/3
Tuesday - grade p 149, Start Section 3.4 (inverse variation)
Wednesday - Finish Section 3.4 (p 168: 1 - 4, 6, 7, 14; bonus 12) due 11/5
Thursday/Friday - Chapter 3 Review - Test on MONDAY 11/9

Algebra II:
Monday - Section 4.2 (function notation) (p 181: 1 - 5, 7, 10; bonus 13, 16) due 11/4
Tuesday - Homework questions, start Section 4.3 (translations of lines)
Wednesday - grade p 181, finish Section 4.3 (translations of lines)
Thursday/Friday - Section 4.3 assignment (p 189: 1 - 6, 12, 13; bonus 8. WS 4.3: 1 - 4) due 11/9

Week of 26 October 2009

2009-10-30T08:20:00.001-05:00

Algebra I:
Monday - Chapter 2 Test (corrections due Friday 10/30)
Tuesday - Went over test and started Section 3.1 (Using Rates)
Wednesday - Finished Section 3.1 (p 142: 1 - 4, 6 - 9, 11; bonus 14)
Thursday - Work on assignment in class (Miss Patchin absent for conference)
Friday - Questions on homework, grade, begin Section 3.2 (Direct Variation)

Algebra II:
Monday - Chapter 3 Test (corrections due Friday 10/30)
Tuesday - Went over test
Wednesday - Section 4.1 (Interpreting Graphs) (p 175: 1 - 4, 10, 11; bonus 6, 13)
Thursday - Work on assignment in class (Miss Patchin absent for conference)
Friday - Questions on homework, grade, begin Section 4.2 (Function notation)

Monday, 10/26/09

2009-10-26T17:42:00.003-05:00

Here's the rundown for today - pretty simple, as it were:

Algebra I: Chapter 2 Test

Algebra II: Chapter 3 Test

I WILL have all of these graded TOMORROW (I think I can I think I can) and ready to pass back to you. In AlgI, we'll be starting Chapter 3, where we'll learn all about direct and indirect variation. In AlgII, we'll be starting Chapter 4, where we'll learn about transformations.

That's it for now, I guess!

Miss P

Welcome!

2009-10-26T17:38:00.000-05:00

I will be using this blog to keep you up to date on happenings in Algebra I and II at HFAA. These are my current goals for the blog:

I would like to post the following things:

regular updates with assignments listed
links to copies of (some) handouts
ANSWERS (*gasp*) to chapter reviews to enable that long-forgotten habit of studying

So - starting 10/26/09, I hope to be updating this at least once a week with helpful information about our classes. Hope you guys have a great night!