Monday, December 03, 2007
Geometry Honors: Similar Polygons
p.426 #29, 30
Are two congruent figures similar? Explain.
What two symbols combine to form the congruence symbol?
Explain why the congruence symbol makes sense.
Tuesday, November 20, 2007
Geometry Honors: Circles and Arcs
p.392 #67
http://www.carouselworks.com/home.htm
Kendra and her mother plan to ride the carousel. Two horses on the carousel are side by side. For a more exciting ride, should Kendra sit on the inside or the outside? Explain your reasoning.
Monday, November 19, 2007
Geometry Honors: Areas of Regular Polygons
Writing p.383 #63
Explain why the radius of a regular polygon is greater than the apothem.
Wednesday, November 07, 2007
Geometry Honors: Placing Figures in the Coordinate Plane
p.329 #26b
Suppose a parallelogram is not a rhombus. Explain why it may not be convenient to place opposite vertices on the y-axis.
Thursday, November 01, 2007
Geometry Honors: Properties of Parallelograms
p.300 #53
Explain how to find the measures of the remaining three angles of a parallelogram if you already know the measure of one of the angles.
Wednesday, October 31, 2007
Geometry Honors: Classifying Quadrilaterals
p.291 #35
Describe the difference between a rhombus and a kite.
Tuesday, October 16, 2007
PreCalculus: Trigonometric Formulas
Available through Google Docs - Trigonometric Formulas
Double Angle, Power-Reducing, Half-Angle, Product-to-Sum, Sum-to-Product
Wednesday, October 10, 2007
PreCalculus: Sum & Difference Practice
1. Login to SuccessNet (use the link on the Links menu)
2. click on PH Math 2004
3. Click on Chapter 14
4. Click on 14-6
5. Click on Interactivity
6. Open the Exploration Guide.
7. Complete the activity multiple times.
Geometry Honors: Chapter 4 Project
Have you ever wondered how bridges stay up? How do such frail-looking frameworks stretch through the air without falling? How can they withstand the twisting forces of hurricance force winds and the rumbling weight of trucks and trains? Part of the answer lies in the natural strength of triangles.
You will explore how engineers use triangles to construct safe, strong, stable structures. You then will have a chance to apply these ideas as you build your own structure. You will see how a simple shape often can be the strongest one.
Bridge Collapses
Sometimes engineering disasters happen.
Sunshine Skyway Bridge
Spans Tampa Bay on the West Coast of Florida
Collapse of the Sunshine Skyway Bridge spanning Tampa Bay, May 9th, 1980
Read about what happens when a structure is not strong and stable enough.
How would you have felt being in the white car pictured above?
"The Day the Skyway Fell", A special of the St. Petersburg Times on May 7, 2000
Audio recording of Mayday call made from the Sunshine Skyway Bridge Collapse, Tampa Bay, Florida, May 1980 (MP3 format) (updated URI, Jun 29 2005)
Activity 1: Modeling
Many structures have straight beams that meet at joints. You can use models to explore ways to strengthen joints.
- Cut seven cardboard strips approximately 6 in. by 1/2 in. Make a square frame and a triangular frame. Staple across the joints.
- With your fingertips, hold each model flat on a desk or table, and try to change its shape. Which shape is more stable?
- Cut another cardboard strip and use it to form a brace for the square frame. Is it more rigid? Why does the brace work?
Using the internet, find a picture (not drawing) of a bridge, tower, or other structure that has exposed frameworks. Print the picture. Highlight where triangles are used for stability.
Activity 3: Investigating
Building Bridges - Chicago Tribune
Visit this website and complete all of the activities up to and including "Engineering Rome"
In the first activity you tested the strength of two-dimensional models. Now investigate the strength of three-dimensional models.
Using toothpicks and marshmallows to construct a cube and a tetrahedron (a triangular pyramid).
Tetrahedron
Which model is stronger?
Describe how you could strengthen the weaker model.
Answer as a comment to the blog. Please sign your (first)name.
Remember to leave out any personal information.
Monday, October 08, 2007
Geometry Honors: 4.6 Congruence in Right Triangles
In Pairs
1. Login to SuccessNet (use the link on the Links menu)
2. click on PH Math 2004
3. Click on Chapter 4
4. Click on 4-6
5. Click on Interactivity
6. Open the Exploration Guide.
7. Record your answers on one piece of paper
8. Comment on this post with your findings. Remember to sign your (first)name.
Friday, October 05, 2007
Geometry Honors: 4.5 Isosceles and Equilateral Triangles
In Pairs
1. Login to SuccessNet (use the link on the Links menu)
2. click on PH Math 2004
3. Click on Chapter 4
4. Click on 4-5
5. Click on Interactivity
6. Open the Exploration Guide on one computer and use the Gizmo on another.
7. Record your answers on one piece of paper
8. Comment on this post with your findings. Remember to sign your (first)name.
Tuesday, October 02, 2007
Geometry Honors: 4.2 Triangle Congruence by SSS & SAS
Connect to SuccessNet
PHsuccessnet.com
or use the Links
Login
Click on PH Math Geometry 2004
Click on Chapter 4 Congruent Triangles from the list on the left
Click on 4-2 Triangle Congruence by SSS and SAS
Read Lesson 4-2
After reading the lesson, click on Interactivity: Congruent Triangles
Under the "Gizmo", Click on Exploration Guide
Complete the Exploration with your partner. Write your answers on one paper.
When you finish the Exploration,
Click on View By at the top of the page
Scroll Down to Videos
Click on 4-2 SAS to watch a video of an example being worked out
Watch it a couple times.
Click on 4-2 Bridges to watch a video about the connection between bridges and congruent triangles.
Geometry Honors: SuccessNet Registration
First time users:
To register in SuccessNet:
1. Go to www.pearsonsuccessnet.com
2. Click Register
3. On the first screen, type the class access code above in the access code field.
4. Follow the instructions to register, and write your user name on the blank line above exactly as you typed it.
5. At the end of registration process, the SuccessNet login page appears.
6. Log in by typing your user name and password.
Existing users:
To enroll in this class:
1. Go to www.pearsonsuccessnet.com.
2. Log in by typing your existing user name and password.
3. From your Home Page, click My Account.
4. Click Add Class/Group
5. Follow the instructions, and use the class access code above to enroll in this class or group.
Tuesday, September 25, 2007
Geometry Honors - Rational & Irrational Music
Math @ Work: Music
Post your answers as a comment on the blog.
Don't forget to sign your (first)name.
Pre-viewing Discussion
What math skills are used in music?
unitedstreaming. 25 September 2007
Post-viewing Discussion
How are fractions used in music?
Guided Practice
Quiz #1: Musical Notes
Click on the link above, Think-Pair-Share
Think: Decide on your answers
Pair: Discuss with your neighbor, submit
Share: After 3 minutes, we will look at the results for the whole class.
Irrational Music
Irrational Numbers
Rational or Irrational?? Quia Activity
Identify whether a given number is rational or irrational
Pi Music
The first 10,000 digits of π converted to a musical sequence
Create your own Pi Musical Sequence by assigning notes to the digits of π
Assignment
In small groups, decide on a mathematical pattern
(evens, odds, Fibonnacci Sequence, squares, triangular numbers, etc.)
and expand it until it includes 25 digits.
Individually, assign each integer 0 - 9 a musical note (A - G).
Use GarageBand to compose a song using those 25 digits as the main track.
Each member of the group will add one track to the individual musical compositions.
The original composer will do final production on the song.
Decide which song to submit as a group and create a slide show to share your song.
Include an introduction slide, a slide explaining the mathematics used in the composition process, a slide including the song, and a slide reflecting on the process.
Tuesday, September 11, 2007
PreCalculus Lesson 4.4 Quiz
Lesson 4.4 Quiz on Quia
You get two (2) attempts, 30 minute time limit each.
Thursday, September 06, 2007
Geometry Honors: BONUS POINTS - 9/6/2007
Bonus Points
If you comment on this post with the information requested then you will receive a bonus point.
You comment on this post with the information requested.
What can you conclude?
Using the Law of Detachment, you can conclude that you will receive a bonus point!
Give an example of a rule used in our school that could be written as a conditional. Explain how the Law of Detachment is used in applying that rule.
2007-2008 Code of Conduct for Broward County Schools is available as a pdf at this link (scroll down until you see the Code of Student Conduct)
OR if you are at a computer that you cannot download to, go to this link for an
html version of the 2007-2008 Code of Conduct for Broward County Schools
Tuesday, September 04, 2007
PreCalculus: Lesson 4.3 Quiz
You have three tries, 30 minutes each try.
Geometry Honors: BONUS POINTS - 9/4/2007
Bonus Points
If you reply to this post with the information requested then you will receive a bonus point.
Find an ad in which a contitional is used or implied. In your reply include a link to the ad and state the conditional used or implied.
Tuesday, August 28, 2007
PreCalculus - Deerfield Beach High School
Ms. L
Contact Ms. L by commenting on this blog
About the Course:
The purpose of this course is to enable students to develop concepts and skills in advanced algebra, analytic geometry, and trigonometry.
The content will include, but not be limited to, the following:
-trigonometric functions and their inverses
-trigonometric identities and equations
-vectors and parametric equations
-structure and properties of the complex number system
-polar coordinate system
-sequences and series
-concept of limits
-conic sections
-polynomial, rational, exponential, and logarithmic functions
-matrix algebra
Class Materials:
Bring to class everyday unless told otherwise:
1. Textbook – Precalculus with Limits: A Graphing Approach 3rd Edition Larson, Hostetler, Edwards
2. Notebook & notebook paper **three ring binder that paper can easily be removed & put back in**
3. Scientific calculator
4. Pencil
5. Graph paper
*A USB thumb-drive is recommended but not required.
*A web-based e-mail address is recommended but not required.
Expectations for student behavior: 1. Be polite and respectful. Raise your hand and wait to be recognized; Allow others to have their turn 2. Be prompt and prepared. Be on time to class; Bring all necessary materials 3. Be productive and participate. Stay awake; Sit up straight; Listen to the lesson; Follow all teacher directions both written and verbal; Participate in activities; etc. 4. Follow all school-wide rules and policies. Keep mobile phones & electronics turned off and out of sight; Wear your ID badge at all times; Follow the dress code, etc. | Consequences: 1. Warning 2. Student conference / “Think Sheet” 3. Phone call home 4. Administrative referral * Extreme situations will result in an immediate administrative referral. |
Make up work:
The student is responsible for obtaining make up work. Speak with a classmate, read the class blog, and look in the handout folder. The school policy regarding make up work will be followed.
Homework:
Homework is graded for completeness not for correctness (unless otherwise told). It will usually be checked the day after it is assigned. If you are absent the day homework is assigned, you are excused from the assignment. Late homework will NOT be accepted.
Grading:
Grading is based on a point system. Students should keep a record of their grade in their notebooks as well as any graded assignments. Students may access their grades online at http://www.dbhs.us/pinnacle1.html
Tutoring & Academic Assistance:
The National Honor Society has tutors available. Obtain a form from Ms. Mason in Room 146.
Broward County Public Library offers E-Tutor services at www.broward.org/library/etutor.htm
Broward County Public Schools Homework Helpline 754-322-1970
Ms. Lynch is available from 2:30 – 2:45 in her room. Longer sessions by appointment.
Passes:
Students will be learning from bell to bell in this class. Passes out of class will be limited to emergency situations only. Passes to lockers, guidance, etc. will not be issued during class time.
Course Time Line (subject to change)
Chapter P Prerequisites – self directed study
Chapter 1 Functions and Their Graphs – self directed study
Chapter 4 Trigonometric Functions
Chapter 5 Analytic Trigonometry
Chapter 6 Additional Topics in Trigonometry
Chapter 2 Polynomial and Rational Functions
*Emphasis on rational functions, asymptotes, and Complex Numbers
Chapter 3 Exponential and Logarithmic Functions
Chapter 10 Topics in Analytic Geometry *Conics
Chapter 7 Systems of Equations and Inequalities
Chapter 8 Matrices and Determinants
Chapter 9 Sequences, Series, and Probability
Chapter 10 Topics of Analytic Geometry (cont.) *Parametric and Polar Forms
Chapter 11 Analytic Geometry in Three Dimensions
Chapter 12 Limit and an Introduction to Calculus
Geometry Honors - Deerfield Beach High School
Ms. L
Contact Ms. L by commenting on this blog
About the Course:
The purpose of this course is to develop the geometric relationships and deductive strategies that can be used to solve a variety of real world and mathematical problems.
The content will include, but not be limited to, the following:
-geometric constructions
-terminology and fundamental properties of geometry
-deductive and inductive reasoning and their application to formal and informal proof
-formulas pertaining to the measurement of plane and solid figures
-coordinate geometry and transformations on the coordinate plane
-exploration of geometric relationships such as parallelism, perpendicularity, congruence, and similarity
-properties of circles
-right triangle trigonometry
Class Materials:
Bring to class everyday unless told otherwise:
1. Textbook – Prentice Hall Mathematics: Geometry Florida Edition Bass, Charles, Johnson, Kennedy
2. Notebook & notebook paper **three ring binder that paper can easily be removed & put back in**
3. Basic calculator
4. Pencil
*A USB thumb-drive is recommended but not required.
*A web-based e-mail address is recommended but not required.
Expectations for student behavior: 1. Be polite and respectful. Raise your hand and wait to be recognized; Allow others to have their turn 2. Be prompt and prepared. Be on time to class; Bring all necessary materials 3. Be productive and participate. Stay awake; Sit up straight; Listen to the lesson; Follow all teacher directions both written and verbal; Participate in activities; etc. 4. Follow all school-wide rules and policies. Keep mobile phones & electronics turned off and out of sight; Wear your ID badge at all times; Follow the dress code, etc. | Consequences: 1. Warning 2. Student conference / “Think Sheet” 3. Phone call home 4. Administrative referral * Extreme situations will result in an immediate administrative referral. |
Make up work:
The student is responsible for obtaining make up work. Speak with a classmate, read the class blog, and look in the handout folder. The school policy regarding make up work will be followed.
Homework:
Homework is graded for completeness not for correctness (unless otherwise told). It will usually be checked the day after it is assigned. If you are absent the day homework is assigned, you are excused from the assignment. Late homework will NOT be accepted.
Grading:
Grading is based on a point system. Students should keep a record of their grade in their notebooks as well as any graded assignments. Students may access their grades online at http://www.dbhs.us/pinnacle1.html
Tutoring & Academic Assistance:
The National Honor Society has tutors available. Obtain a form from Ms. Mason in Room 146.
Broward County Public Library offers E-Tutor services at www.broward.org/library/etutor.htm
Broward County Public Schools Homework Helpline 754-322-1970
Ms. Lynch is available from 2:30 – 2:45 in her room. Longer sessions available by appointment.
Passes:
Students will be learning from bell to bell in this class. Passes out of class will be limited to emergency situations only. Passes to lockers, guidance, etc. will not be issued during class time.
Course Time Line (subject to change)
Unit 1 Tools of Geometry (7 days) 1-1 Patterns and Inductive Reasoning 1-2 Points, Lines, and Planes 1-3 Segments, Rays, Parallel Lines and Planes 1-4 Measuring Segments and Angles 1-5 Basic Constructions 1-6 The Coordinate Plane 1-7 Perimeter, Circumference, and Area | Unit 7 Area (8 days) 7-1 Areas of Parallelograms and Triangles 7-2 The Pythagorean Theorem and Its Converse 7-3 Special Right Triangles 7-4 Areas of Trapezoids, Rhombuses, and Kites 7-5 Areas of Regular Polygons 7-6 Circles and Arcs 7-7 Areas of Circles and Sectors 7-8 Geometric Probability* |
Unit 2 Reasoning and Proof (6 days) 2-1 Conditional Statements 2-2 Biconditionals and Definitions 2-3 Deductive Reasoning 2-4 Reasoning in Algebra 2-5 Proving Angles Congruent | Unit 8 Similarity (7 days) 8-1 Ratios and Proportions 8-2 Similar Polygons 8-3 Proving Triangles Similar 8-4 Similarity in Right Triangles 8-5 Proportions in Triangles 8-6 Perimeters and Areas of Similar Figures |
Unit 3 Parallel and Perpendicular Lines (7 days) 3-1 Properties of Parallel Lines 3-2 Proving Lines Parallel 3-3 Parallel Lines and the Triangle Angle-Sum Theorem 3-4 The Polygon Angle-Sum Theorems 3-5 Lines in the Coordinate Plane 3-6 Slopes of Parallel and Perpendicular Lines 3-7 Constructing Parallel and Perpendicular Lines | Unit 9 Surface Area and Volume (8 days) 10-1 Space Figures and Nets 10-2 Space Figures and Drawings 10-3 Surface Areas of Prisms and Cylinders 10-4 Surface Areas of Pyramids and Cones 10-5 Volumes of Prisms and Cylinders 10-6 Volumes of Pyramids and Cones 10-7 Surface Areas and Volumes of Spheres 10-8 Areas and Volumes of Similar Solids* |
Unit 4 Congruent Figures (5 days) 4-1 Congruent Figures 4-2 Triangle Congruence by SSS and SAS 4-3 Triangle Congruence by ASA and AAS 4-4 Using Congruent Triangles: CPCTC 4-5 Isosceles and Equilateral Triangles 4-6 Congruence in Right Triangles 4-7 Using Corresponding Parts of Congruent Triangles | Unit 10 Transformations (7 days) 12-1 Reflections 12-2 Translations 12-3 Rotations 12-4 Compositions of Reflections* 12-5 Symmetry 12-6 Tessellations 12-7 Dilations |
Unit 5 Relationships with Triangles (5 days) 5-1 Midsegments of Triangles 5-2 Bisectors in Triangles 5-3 Concurrent Lines, Medians, and Altitudes 5-4 Inverses, Contrapositives, and Indirect Reasoning 5-5 Inequalities in Triangles | Unit 11 Right Triangle Trigonometry (6 days) 9-1 The Tangent Ratio 9-2 Sine and Cosine Ratios 9-3 Angles of Elevation and Depression 9-4 Vectors* 9-5 Trigonometry and Area* |
Unit 6 Quadrilaterals (7 days) 6-1 Classifying Quadrilaterals 6-2 Properties of Parallelograms 6-3 Proving That a Quadrilateral is a Parallelogram 6-4 Special Parallelograms 6-5 Trapezoids and Kites 6-6 Placing Figures in the Coordinate Plane* 6-7 Proofs Using Coordinate Geometry* | Unit 12 Circles (7days) 11-1 Tangent Lines 11-2 Chords and Arcs 11-3 Inscribed Angles 11-4 Angle Measures and Segment Lengths 11-5 Circles in the Coordinate Plane 11-6 Locus: A Set of Points* |
* If time permits
Monday, August 27, 2007
PreCalculus: 8/27/2007
Quia.com Activities
Converting Special Angle Measurements from Degrees to Exact Radians
Finding Values of the Six Trig Functions
Unit Circle to Study
Blank Unit Circle
A Method for Remembering the Unit Circle
Friday, August 24, 2007
Geometry Honors: 08/24/2007
Student Technology Inventory on Quia.com
Using dynamic mathematics software
GeoGebra
- GeoGebra homepage
- Webstart for free
- Download for free
- Learn and Use GeoGebra (Use Lessons 1 through 6)
Wednesday, April 18, 2007
PreCalculus: 04/18/2007
The Gross National Debt |
National Debt and Wars
In this project you will collect information about the National debt, plot the data by decade, and determine whether an exponential curve is a good fit for the data. Then your groups will determine and compare common traits and differences in changes in the National debt in three major eras: the Civil War, World War I, and World War II.
Monday, March 26, 2007
PreCalculus: 03/26/2007
Objectives: Students will know how to perform operations with complex numbers and plot complex numbers in the complex plane.
Need to check your calculations?
The complex numbers applet does symbolic calcluations of complex numbers.
How are complex numbers related to polynomial functions?
This lesson explains the connection and includes an applet to help you visualize the connection
Connecting complex roots to a parabola's graph
Looking for more connections?
Understanding complex numbers are necessary to understand fractal geometry.
Example of the Julia Set
http://www.geocities.com/CapeCanaveral/2854/gallery.html
Fractal geometry is used to describe much of the natural world. It is also connected to famous artists, like Jackson Pollack.
Jackson Pollack, Abstract Painting and Fractals
Try the activities and listen to the podcast.
Thursday, March 08, 2007
PreCalculus: Extra Credit WebQuest
You have an oportunity to complete a *bonus* project.
It is a WebQuest.
If you complete the project it will be added into the grade book an an additional assignment, not as bonus points.
WebQuest Internet Project - Trig Class Angles for Lessons in Lit
This project is due Tuesday, March 13th.
The project will only be counted if it improves your grade.
Good Luck.
PreCalculus: Roller Coaster Investigation
Go to this website to experience a virtual roller coaster ride.
Part 1 - Research
Useful Links
Ultimate roller coaster
Roller Coaster Database
Coasters.net – Cedar Point
howstuffworks – Roller Coasters
Amusement Park Physics
Kinetic and Potential Energy
Roller Coaster Project
Thursday, January 25, 2007
PreCalculus: 01/25/2007
Unit Circle Retake
(4.5) Graphs of Sine and Cosine Curves [continued]
Objective: Students will know how to sketch graphs of sine and cosine functions.
III. Translations of Sine and Cosine Curves
Vertical Translations - Graphing Calculator
What happens when d changes?
Graph
y = sin x
y = sin x + 1
y = sin x - 1
y = sin x - (1/2)
y = sin x + π
How does the graph change?
Vertical Translations - Sketching
Changing d changes the y-coordinates of our 5 critical points.
The five critical points will start with a y-coordinate of d if we are graphing the sine function and d + a if we are graphing a cosine function.
Use the Notetaking Guide to take notes
Homework
p. 331 #51, 53
Wednesday, January 24, 2007
PreCalculus: 01/24/2007
p. 330 #15 - 20 How do changes in equations change the graphs?
#98 - 101 Review converting radians to degrees
(4.5) Graphs of Sine and Cosine Curves [continued]
Objective: Students will know how to sketch graphs of sine and cosine functions.
III. Translations of Sine and Cosine Curves
Horizontal Translation - Sketching - 5 key points
Phase-shift = c / b
Period Interval: [c/b, c/b + 2Ï€/b]
Practice p.330 #46
Homework
p.331 #45 - 53 odd
Tuesday, January 23, 2007
PreCalculus: 01/23/2007
p.330 #1 - 13 odd
Identify amplitude and period of sine and cosine curves from graph or equation.
(4.5) Graphs of Sine and Cosine Curves [continued]
Objective: Students will know how to sketch graphs of sine and cosine functions.
II. Amplitude and Period of Sine and Cosine Curves
Practice p.330 #30
III. Translations of Sine and Cosine Curves
Horizontal Translation - graphing calculator
What happens when we change c?
Graph on a graphing calculator
y = sin x
y = sin (x - π/4)
y = sin (x - π/2)
y = sin (x - π)
y = sin (x - 3Ï€/2)
y = sin (x - 2Ï€)
What happens to the graph?
Use the Student Success Organizer to take notes
Homework
p.331 #39, 41, 43
Monday, January 22, 2007
PreCalculus: 01/22/2007
p.321 #103
Average Temperature
(4.5) Graphs of Sine and Cosine Curves
Objective: Students will know how to sketch graphs of sine and cosine functions.
I. Basic Sine and Cosine Curves
y = sin x
Five Key Points
Intercept (0, 0)
Max (Ï€/2, 1)
Intercept (Ï€, 0)
Min (3Ï€/2, -1)
Intercept (2Ï€, 0)
y = cos x
Five Key Points
Max (0, 1)
Int (Ï€/2, 0)
Min (Ï€, -1)
Int (3Ï€/2, 0)
Max (2Ï€, 1)
General Form of Sine and Cosine equations
y = d + a sin (bx - c)
y = d + a cos (bx - c)
II. Amplitude and Period of Sine and Cosine Curves
What happens when we change a?
Use this website, Online Graphing Calculator,
to graph the functions below. See how the graph changes from y = sin(x)
y = 2sin x
y = 4sin x
y = (1/2)sin x
y = -sin x
y = (-1/2) sin x
Use the Student Success Organizer to take notes.
What happens when we change b?
Use the Online Graphing Calculator
to graph the functions below. See how the graph changes from y = sin(x)
y = sin(2x)
y = sin(4x)
y = sin((1/2)x)
y = sin(-x)
Use the Student Success Organizer to take notes.
Watch Video Tutor about Sine Functions
Watch Video Tutor about Cosine Functions
Friday, January 19, 2007
PreCalculus: 01/19/2007
Check HW in Solution Manual. Collaborate with a classmate about your work.
Block 3 - RCC #2 Due - Write 5 questions you would ask a classmate to find out details about their novel.
Mid-Chapter Quiz for Chapter 4
ML Practice with examples WB p. 250 - 258
[30 pts]
Thursday, January 18, 2007
PreCalculus: 01/18/2007
p.311 - 313
#63 - 67 odd Real Life Applications
81 - 88 odd Review
(4.4) Trigonometric Functions of Any Angle
Objective: Evaluate trigonometric functions for any angle
p.320 - 322 #1 - 101 odd
Think - Pair - Share
Independent Practice
Complete for Homework
FCAT Explorer Login
1. Use and internet browser (like Netscape Navigator, Netscape Communicator, or Microsoft Internet Explorer) to go to www.fcatexplorer.com. If you have AOL, sign on, close the window but do not quit the program. You need to be connected to the internet. Then run one of the above browsers. If you need Flash as a plug in to support animation, the program will redirect you to a free site to download Flash so you can update your browser.
2. At the top right, use the Sign-In Name which will be your last name and first initial (no space). For example, if you are Robert Smith, you would type in smithr. Your password will be 06 followed by the first 4 digits of your last name, 2 digit birth month, and 2 digit birth date. If Robert Smith was born on January 3rd, his password would be 06smit0103. Check to see if your name and school matches when you get in. If not, sign out and try this: some passwords will be followed by numbers like 01 or 02 since some students have similar Sign-In names. If you still cannot get in, inform your teacher or see Ms. Shaw in room 241. New students need to be entered. The teacher or Ms. Shaw can enroll you if you are new or check your password. You or your parents can use the Sign-In Name student1 and type in the Password student1 to just look around. Then click on Sign In.
3. Feel free to explore the different programs. There are lower level reading and math programs. The bottom left and right choices are for 10th grade level timeline reading and math programs!!
4. Click on Signout and then click on Exit the Program on the next screen to clear your password for the next person.
Algebra 2: 01/18/2007
MA.C.2.4.1 Properties of Geometric Shapes
FCAT WB p.117 - 123, skip #3
If you need more practice, visit FCAT Explorer
Discussion of PreTest
(2-2) Linear Equations
Objectives:
- To graph linear equations
- To write equations of lines
Examples 1, 2, 3, 5
(Like Examples 2, 3, 4, 6 in textbook)
Homework
WB p.15 - 16 #1 - 8, 12 - 14, 18 - 21
Algebra 2: Textbook Online
To register in SuccessNet:
- Go to www.pearsonsuccessnet.com
- Click Register
- On the first screen, type the class access code F593F7C0D57665D655E4 in the access code field.
- Follow the instructions to register, and write down your user name exactly as you typed it.
- At the end of the registration process, the SuccessNet login page appears.
- Log in by typing your user name and password.
Wednesday, January 17, 2007
PreCalculus: 01/17/2007
p.310 #1 - 24 odd
(4.3) Right Angle Trigonometry [continued]
III. Evaluating Trig functions with a calculator
Make sure you are in the correct mode [radian or degree]
IV. Applications involving right triangles
(4.4) Trigonometric Functions of any angle
Objective: Students will know how to evaluate trigonometric functions of any angle
I. Introduction
See p.314 for definitions of trigonometric functions of any angle
II. Reference Angles
III. Trig functions of real numbers
Homework
p.310 - 313 #24 - 63 x 3's
Algebra 2: 01/17/2007
FCAT WB p.99 - 103 #3 - 7
2-6 Lesson Quiz
Vertical and Horizontal Translations
3-1 Graphing systems of Equations
Objective: To solve a system by graphing
Introduction
Definition of system of equations
Methods for solving systems of equations
Tuesday, January 16, 2007
PreCalculus: 01/16/2007
p.300 #3 - 27 EOO
Unit Circle Quiz
Blank Unit Circle
Unit Circle to study
(4.3) Right Angle Trigonometry
Objective: Students will know how to use the fundamental trigonometric identities
I. The six trigonometric functions
The Legend of SohCahToa
How to Remember the Trig Ratios
II. Trig Identities
Trigonometric Identities
Algebra 2: 01/16/2007
FCAT WB p.95 - 98
(2-5) Absolute Value Functions and Graphs
Objective: To graph absolute value functions
Example 1 - Graphing an Absolute Value Function
Example 4 - Real-World Connection - Travel
(2-6) Vertical and Horizontal Translations
Objectives: To analyze vertical translations, to analyze horizontal translations
Example 1 - Comparing Graphs
Check Understanding
Example 2 - Graphing a Vertical Translation
Check Understanding
Example 3 - Writing Equations for Vertical Translations
Check Understanding
Example 4 - Graphing Horizontal Translations
Check Understanding
Example 5 - Writing Equations for Horizontal Translations
Check Understanding
Example 6 - Real-World Connection - Fabric Design
Check Understanding
Homework
Lesson 2-6
p.95 - 96 #3 - 30 x 3's, #47
Wednesday, January 10, 2007
PreCalculus: 01/10/2007
"Getting Help with Math" article
Diagnostic Test
Tuesday, January 09, 2007
Algebra 2: Syllabus
Contact Ms. L by commenting on this Blog
About the Course:
The purpose of this course is to continue the study of algebra and to provide the foundation for applying algebraic skills to other mathematical and scientific fields. The content will include, but not be limited to, the following:
• structure & properties of the complex number system
• relations, functions, & graphs extended to polynomial, exponential, & logarithmic functions
• varied solution strategies for linear equations, inequalities, & systems of equations & inequalitites
• varied solution strategies, including the quadratic formula, for quadratic equations
• conic sections & their applications
• arithmetic & geometric sequences & series
• data analysis, including measures of central tendency & dispersion
• probability, permutations, & combinations
Class Materials:
Bring to class everyday unless told otherwise:
1. Textbook – Algebra 2 Prentice Hall
2. Notebook & notebook paper **three ring binder that paper can easily be removed & put back in**
3. Scientific calculator
4. Pencil
5. Graph paper
Expectations for student behavior:
1. Be polite and respectful.
Raise your hand and wait to be recognized; Allow others to have their turn
2. Be prompt and prepared.
Be on time to class; Bring all necessary materials
3. Be productive and participate.
Stay awake; Sit up straight; Listen to the lesson; Follow all teacher directions both written and verbal; Participate in activities; etc.
4. Follow all school-wide rules and policies.
Keep cell phones & CD players turned off and out of sight; Wear your ID badge at all times; Follow the dress code, etc.
Consequences:
1. Warning
2. Student conference / “Think Sheet”
3. Phone call home
4. Administrative referral
* Extreme situations will result in an immediate administrative referral.
Make up work:
The student is responsible for obtaining make up work. Speak with a classmate, read the class blog, and look in the handout folder. The school policy regarding make up work will be followed.
Homework:
Homework is graded for completeness not for correctness (unless otherwise told). It will usually be checked the day after it is assigned. If you are absent the day homework is assigned, you are excused from the assignment. Late homework will NOT be accepted.
Grading:
Grading is based on a point system. Students should keep a record of their grade in their notebooks as well as any graded assignments.
Tutoring & Academic Assistance:
The National Honor Society has tutors available. Obtain a form from Ms. Mason in Room 146.
Broward County Public Library offers E-Tutor services at www.broward.org/library/etutor.htm
Broward County Public Schools Homework Helpline 754-322-1970
Passes:
Students will be learning from bell to bell in this class. Passes out of class will be limited to emergency situations only. Passes to lockers, guidance, etc. will not be issued during class time.
Course Time Line (subject to change)
Chapter 1 Tools of Algebra – Self directed study
Chapter 2 Functions Equations & Graphs (Lesson 9-1 included)
Chapter 3 Linear Systems
Chapter 4 Matrices (4-5, 4-6, 4-8 only)
Chapter 5 Quadratic Equations & Functions
Chapter 6 Polynomials & Polynomial Functions
Chapter 7 Radical Functions & Rational Exponents
Chapter 8 Exponential & Logarithmic Functions
Chapter 9 Rational Functions
Chapter 10 Quadratic Relations (Conic Sections)
Chapter 11 Sequences & Series
Chapter 4 Matrices (complete chapter)
Welcome back!
Essential Question: Why should you learn Algebra?
Quickstart
Read the LA Times article "Why you should learn Algebra"
Precalculus syllabus, posted on August 15, 2006.
Algebra II syllabus posted today
Activities
Silent Line Up
Getting to know you - Venn Diagrams