Week 7: Geometry (Oct. 1-5)

Monday
Finish 2.2.3
Vocab: Trapezoid and Isosceles Trapezoid
Review of Area of Parallelogram
2-75, 2-76 2-77 and 2-78 as notes
CW: 2-79 and 2-80
HW: Can be downloaded here:
https://dl.dropbox.com/u/40810525/Corresponding%20and%20Alternate%20Angles.pdf
Find all missing angles where there is a big grey dot.

A picture of the 6 problems (in case the PDF file does not open for you):

Tuesday
Reasoning about the area of: Triangles, Paralellograms, Trapezoids and other Regular Polygons

HW: 2-90, 92, 93, 94

Wednesday
Triangle Inequality

http://www.youtube.com/watch?v=OoLb_NnnKSQ
Finish Classwork Area Worksheet
HW: 2-100 through 103

Thursday
Review Sheet in class and start Closure Problems
HW: STUDY FOR CHAPTER TWO TEST
BONUS Closure assignment:
All Chapter 2 Closure problems starting with 2-123 and ending with 2-130

Topics to Review for Chapter 2 Test:

• Angle Relationships and their Rules
• Straight Angle Pair (windshield wiper) - Supplementary
• Vertical Angles - Congruent
• Corresponding Angles - Congruent
• Alternate Interior Angles - Congruent
• Same-Side Interior Angles - Supplementary
• Are the lines parallel?
• Areas of:
• Triangles = (1/2)(b)(h)
• Drawing in the height - train method
• Height must be:
• 1. Coming down from the opposite vertex (the vertex across from the base)
• 2. Forming a right angle at the base.
• Parallelograms = (b*h)
• Same formula as a rectangle. But remember the HEIGHT in a PARALLELOGRAM is not a side length, it is an invisible line inside of the parallelogram that forms right angles. It is only an actual side length if you parallelogram is a RECTANGLE.
• Trapezoids = (1/2)(b1+b2)(h)
• Pythagorean Theorem (ONLY) works for right triangles.
• Triangle Inequality

Week 7: Algebra 2/Trig (Oct. 1-5)

Monday 5.1
Start Chapter 5
Quick review of Quadratics and Common Differences Activity
HW: 278: 27-46 all, 47

Tuesday - 5.2 Solving Quadratic Equations
HW: 287: 21-37 odd, 44-46 all, 47, 49, 50

Wednesday - 5.3 Factoring Quadratic Expressions
HW: No Homework

Thursday - 5.4 Completing the Square
HW: 304: 17-31 All
Study for Quiz

Friday
Quiz 5.1 thru 5.4 and Parametric Eq.

Week 7: Algebra 2 (Oct. 1-5)

Monday - 5.1 Introduction to Quadratic Functions

Start Chapter 5
Quick review of Quadratics and Common Differences Activity
HW: 278: 27-46 all, 47

Tuesday - Parametric Equations

CW: Parametric Equations
HW: Page 200, 16-32 even, 33
Helpful video on using substitution to "eliminate the parameter (t)" on a Parametric Equation: (second half shows substitution method.)
You can also solve both equations for t, and set these equations equal to each other and simplify.

Wednesday - 5.2 Introduction to Solving Quadratic Equations
HW: 287: 21-37 odd, 44-46 all

Thursday - 5.3 Factoring Quadratic Expressions
HW: 296: 58-77 odd, 94-96 all

Friday
Quiz 5.1 thru 5.3

(Monday Week 8 - October 8th 2012)
HW: 304: 17-46 even, 48-50 all

Week 6: Geometry (Sept. 24-28)

Monday
CW: 2-43, 44, 45
HW: 2-51, 52, 53, 55

LINK TO NOTES IN CLASS: http://dl.dropbox.com/u/40810525/logical%20statements.docx (Word doc, will download)

Tuesday
CW: Review toolkit and 2-66
HW: 2-70, 71, 72, 74

Wednesday
CW: Pick up with 2-67 and 2-68
HW: 2-82, 84

INTERACTIVE TOOL FOR TRIANGLE AREAS:
http://www.cpm.org/flash/technology/triangleArea.swf

Thursday
Study for Quiz

ANSWERS:
1:
5 and 6 are Straight Angles and Supplementary
2 and 7 and (none of the above) and Congruent
4 and 6 are SSI and supplementary
2 and 6 are Corresponding and Congruent
1 and 2 are Straight Angles and Supp.
4 and 8 are Corresponding and Congruent
3 and 8 are (none of the above) and Supp.
3 and 7 are Corresponding and Congruent
4 and 5 are Alt. Int. and Congruent
2: Complementary
3: Supplementary
4: Vertical and Congruent
5. No
6. Yes
8. Can't say
9. 75 each

BACK SIDE
1. 54
2. 38.5
3. 96
4. 1000
5. can't tell (unless you use 2 pyathgorean theorems, solve for 2 legs and add the 2 legs together)

Friday
Quiz (Multiple Choice)

Week 6: Algebra 2/Trig (Sept. 24-28)

Monday
CW: Page 169: 18-26 even
HW: 169: 27-35 all, 36, 37, 40, 43


Tuesday
147: 
207:

Systems of Linear Inequalities
HW: 177: 48 (a,b) and 183-184: 33-36 ALL, 47

Wednesday
HW: Page 200 16-32 even, 33

Thursday
CW/HW:
77: 1, 2, 8, 11, 21, 22, 25, 26, 29, 31
147: 4, 10, 14, 15, 23, 26, 28, 29, 34
207: 5, 6, 8, 12, 16 (not 18)

Study for Test

ANSWERS:
77: 1: not linear,
two: linear,
8: y=(two)(x)+6;
11: y=(3/2)x+(32/2), 
21: 90, 20, 70. 
22: (2A/(R^2); 
25: x>1 and x<4; 
26: x is less than or equal to 2, x is greater than or equal to 3; 
29: x equals all real numbers; 
31: x is greater than or equal to 5, less than or equal to -25

4: 37
10. 3/(rs^3t)
14: yes
15: no
23: -7
26: no
28: plus or minus the fourth root of (x+3); no
29:graph
34: left 3 units and down 4 units

5. 4 and 3
6. (-2, 3)
8. (-3, 4)
12. graph
16. graph

Friday
Chapter Test: Chapters 1, 2, 3

Week 6: Algebra 2 (Sept. 24-28)

Monday: Solving Systems by Graphing or Substitution
CW: Page 161 # 25-33 odd
HW: Page 162: 41-46 all, 53, and 57-59 (example in class)


Tuesday: Solving Systems with Elimination
HW: 169 27-35 all, 40, 42

Wednesday
HW: Page 183: 33-36 all, 47

Study for test
147: 
207:
207:


CW/HW:
77: 1, 2, 8, 11, 21, 22, 25, 26, 29, 31
147: 4, 10, 14, 15, 23, 26, 28, 29, 34
207: 5, 6, 8, 12, 16 (not 18)


ANSWERS:
77: 1: not linear,
two: linear,
8: y=(two)(x)+6;
11: y=(3/2)x+(32/2), 
21: 90, 20, 70. 
22: (2A/(R^2); 
25: x>1 and x<4; 
26: x is less than or equal to 2, x is greater than or equal to 3; 
29: x equals all real numbers; 
31: x is greater than or equal to 5, less than or equal to -25

4: 37
10. 3/(rs^3t)
14: yes
15: no
23: -7
26: no
28: plus or minus the fourth root of (x+3); no
29:graph
34: left 3 units and down 4 units

5. 4 and 3
6. (-2, 3)
8. (-3, 4)
12. graph
16. graph
147: 
4: 37
10. 3/(rs^3t)
14: yes
15: no
23: -7
26: no
28: plus or minus the fourth root of (x+3); no
29:graph
34: left 3 units and down 4 units

5. 4 and 3
6. (-2, 3)
8. (-3, 4)
12. graph
16. graph
207:
5. 4 and 3
6. (-2, 3)
8. (-3, 4)
12. graph
16. graph



Friday
Chapter Test: Chapters 1, 2, 3

Week 5: Alg. II & Alg. II/Trig

Monday 9/17: 
Review: Correlation Coefficient, Absolute value equations and inequalities
Notes Page 104
Page 108: Is it a function? Is its inverse a function?

(Vertical line test to see if it is a function. Horizontal line test on the same graph to see if its inverse will be a function.
On a table, we want to see no multiple x's leading to different y's. In the inverse, the x's and y's are switched, so we can look at a table of an original function and make sure no y's are leading to different x's to make a conclusion about whether or not the inverse is a function.)

HW: Page 139: 11-25 Odd, 42-47 All
AND "Is the inverse of a line perpendicular to the line? Prove!"

Tuesday 9/18:
Critical thinking question (Page 137)
Page 140: Challenges
Horizontal compression/stretching

HW: Page 144 #1-17 all

Wednesday 9/19

CW/HW: Page 145 #18-60 even

Thursday 9/20

ALG 2HW: Page 161 # 25-39 odd (Alg. 2: we will postpone this HW. Just study for the quiz.)

ALG2/ TRIG HW: Page 162: 41-46 all, 53, and 57-59

Week 5: Geometry

Monday 9/17: 
2.1.1 Complementary, Supplementary and Vertical Angles
New Assigned Seats

CW:
New Vocabulary (see Ch. 2 "Closure" Section for list)
Starting Chapter 2. 2-2 through 2-6 in class
Notes: Angle Relationships: Complementary Angles (add to 90), Supplementary Angles (add to 180) and Vertical Angles (are congruent)

HW:
2-8 through 2-11


Tuesday 9/18:
2.1.2 Angles Formed by Transversals
Handout http://www.cpm.org/pdfs/stuRes/GC/chapter_02/GC_2.1.2.pdf

CW: 2-13 (silent warm-up) through 2-17
Add vocab: "Transversal"
HW:  2-18 through 2-22

Wednesday 9/19
2.1.3 More Angles Formed by Transversals
Handout http://www.cpm.org/pdfs/stuRes/GC/chapter_02/GC_2.1.3.pdf

CW: 2-23 through 2-28
HW: 2-29 through 2-31

Thursday 9/20:
Angles in a Triangle
Handout http://www.cpm.org/pdfs/stuRes/GC/chapter_02/GC_2.1.4.pdf

CW: 2-34 through 2-37
Notes: More Angle Relationships
HW: 2-38 through 2-40
Study for Quiz
Test Corrections

Friday 9/21:
Quiz
PROGRESS REPORT
TEST CORRECTIONS DUE

Week 4: Alg. II and Alg. II/Trig

Hi All -

This is my blog site for our class, and I will be posting information on here that I'd like to communicate with the whole class. Check the site often and I encourage you to ask questions by leaving a comment.

Have a great Spirit Week :)

Ms. Liefland

Monday
Class: Transformations and Quiz Review
HW: Study for Quiz 2

See http://www.purplemath.com/modules/fcntrans.htm for summary of transformations. Also http://people.richland.edu/james/lecture/m116/functions/translations.html. Be comfortable with these "shifts" for Quiz 3.

We will be having our second quiz on Tuesday.
No calculators will be used on this quiz.
Topics for this quiz include solving absolute value problems (remember to test your solutions to make sure some solutions are not lying to you!!!), simplifying expressions with exponents, and algebraically finding the domain, and graphically finding the range. 
UPDATE: Also rational/irrational number vocabulary will be on Quiz 2.

Notes on Domain and Range:

Domain: Algebraically - What values of x are "cool" with the rules of math? The two rules we look for are:
dividing by zero (this is undefined - a vertical asymptote) or,
taking the square root of a negative number (this gives an imaginary result)
What are the "allowed" values of x? What are we able to input?
Vertical asymptotes will interrupt the domain.
Graphically - Where does the function exist horizontally (described by x values)?

Range: Algebraically - What values of y can I get back, as an output?
(This is harder to solve for algebraically, so we can look at the graph.)
Graphically: Where does the function exist vertically? (described by y values)
Horizontal asymptotes will interrupt the range.

Asymptotes are lines that are often invisible in the graph - think of them as invisible walls that the function never crosses.

Tuesday
In class: Quiz 2 (see above for topics)
HW: Page 115, 25-29 ALL, and 51-59 ODD
IF YOU NEED HELP WITH COMPOSITE FUNCTIONS: Watch this video :)
Composition of Functions - YouTube (PatrickJMT)

Wednesday
HW: Page 122: 19, 21, 27-31all

Thursday
CW/HW: Page 129 - 16-23 all, 61-64 all

Friday
Classwork:

Next Quiz: Friday September 21 (Quiz 3)
Shifts & Transformations
Compositions of Functions
Inverse Functions
Piecewise Functions

Thoughts on irrational exponents?
http://mathforum.org/library/drmath/view/52857.html

Precise Algebra: https://dl.dropbox.com/u/40810525/twoisone.jpg

Week 4: Geometry

GEOMETRY CHAPTER 1 TEST - THIS FRIDAY! 9/14/12

Hello and welcome to the blog site for Geometry with Ms. Liefland at Harper. Check here for homework updates, class announcements, and test/reference information. Also feel free to leave any comments for me and your classmates to respond to.

Hope everyone had a good weekend. Parents - also feel free to check the blog for information about your child's Geometry class.

Ms. Liefland

Monday 1.2.5
Classwork 1-87 through 1-90
Handout (HELPFUL): http://www.cpm.org/pdfs/stuRes/GC/chapter_01/GC_1.2.5.pdf
Homework: Review Methods & Meanings "Parallel and Perpendicular Slopes" and do 1-93 and 1-95

In the Chapter 1 "Closure" section in the textbook, part 2 ("Making Connections") offers a list of vocabulary that is essential to know in Chapter 1. In addition to this list, we have added: perpendicular bisector, isosceles triangle, angle bisector, line/line segment/ray, central angle, interior angle, equilateral, and we know two formulas:

- The sum of all the interior angles in a triangle is 180. (This means the three angles in a triangle add up to 180. They are not necessarily 60-60-60, though, unless the triangle is an equilateral triangle.)
- The measure of a central angle (think of spokes on a wheel - the central angle is the degree between the spokes coming from the center to two adjacent vertices) can be multiplied by the # of sides to equal 360. We can only use this formula with regular polygons. (Central Angle)x(# of sides)=360
This makes sense to us visually because all of the central angles together form a full circle, which measures 360!

Remember our grouping of these terms:
Types of Transformations
Rotations
Reflections
Translations

Tuesday 1.3.1
Classwork: 1-97 and 1-98 (3 Venn Diagrams)
HW Tuesday night: 1-101 and 1-102

Wednesday 1.3.2
Classwork: 1-104 through 1-109 (independently)
Handout: http://www.cpm.org/pdfs/stuRes/GC/chapter_01/GC_1.3.2A.pdf
Homework: 1-110, 1-111, 1-112, 1-114
BONUS Assignment: All Closure Problems CL 1-126 through CL 1-134

Thursday 1.3.3 and Chapter Review
Monty Hall Blog: http://dilbertblog.typepad.com/the_dilbert_blog/2008/04/monte-hall-prob.html
http://youtu.be/Zr_xWfThjJ0

Friday Chapter Test
Classwork After Test: 2-2 through 2-6


TOOLKIT ANSWER KEY:

TOPICS ON CHAPTER 1 TEST
Transformations (Reflection, Rotation, Translation)
Symmetry (Reflection symmetry and Rotation symmetry [with specific degree measurement of rotation for rotation symmetry - i.e. 90 for a square or any multiple of 90, because this makes the shape look the same.])
Vocabulary (see Chapter 1 "Closure" for vocab list)
Naming Shapes and knowing the marks for congruence (sides & angles) and parallel sides
Probability
Logical statements