Saturday, May 19, 2012

FINAL REVIEW

The answer keys to the last 2 proficiency checks AND the Unit 7 review from class are here.  Be sure to check your answers and email me with any questions.


DON'T FORGET... Your last assessment (Unit 7: Sequences) is on Tuesday 5/22!

Wednesday, March 7, 2012

Is This Valuable???

To my students & parents of said students:
  I have found it somewhat time-consuming to keep up with this blog, and although I think it could be/is highly valuable for those who use it, I'm not sure it is worth the time for 1 or 2 students... is it 10 students?  40 students?  or just 1?
  If you find this blog helpful - either on a daily basis or when you are absent - PLEASE tell me!  Either via email, in class by speaking with me in person or post a comment here.  I'll decide, based on the number of students that respond, whether or not to continue with this tool for the remainder of the school year.
   Let me know!!!

Tuesday, February 21, 2012

Core 2--- Week of February 21-24

Tuesday, 2/21
Grade Update... what do you still need to learn before the test on Friday?
What would you like to get better at?  Advanced?

Problems:
  Advanced Practice can be downloaded here.
  Proficient and Partial Proficient Practice...work together to find the roots and sketch the graph of the following equations:

  1.  y = 5x2 – 2x – 1
  2.   y = -2x2 + 12x – 18
  3. y = x2 – 9x + 30

Key is available upon request.
No homework  -  except to make corrections on HW#6 or turn it in if you haven't already


Wednesday, 2/22
Students were divided into differentiated groups to study for the assessment that will be on Friday.

Thursday, 2/23
Students self-selected review activities based on need... work with a tutor OR play a game in class to review. Test tomorrow!

Friday, 2/24
ASSESSMENT on Unit 5 - Quadratic Functions

Honors Core 3--- Week of February 21-24

Tuesday- 2/21
Warm-Up - methods of graphing lines in the form ax + by = c
  Try viewing MathTV for a refresher on how to graph lines of this form...  On the left side of the screen press Algebra, then Linear Equations in Two Variables (straight lines)  then choose the following problems:
   For an example of the slope-intercept method - choose problem #4 - Betsy as the tutor
   For an example of the intercepts method - choose #7 - Preston (English) or David (Spanish)
Launch/Explore
  Problems #1-2 on page 68 - be sure to READ all the information before and between problems
Summary
  Explain #1a and #2e to Ms. Totman
Homework - finish HW#12 from Friday, if necessary.  Otherwise, no homework

Wednesday, 2/22
I apologize for the lateness of this post.   I've been experiencing a combination of computer struggles and after-school meetings and have been unable to keep up as well as I'd like.


Continuing on with our exploration of "linear programming", we began writing inequalities (for our constraints) and equations (for our objective function) and using the graph to find the feasible points and those most worth our effort (along the border of the feasible region).
Explore:  p. 70 #3
Homework #13: p. 71 #4


Thursday, 2/23
Continue to work in groups on linear programming problems.
Today - Paizan's Pizza Problem (you can download by clicking on the link)
HW#14: p. 80 #1a-e (that's abcde)


Friday, 2/24
Wrap up Paizan's Pizza Problem -
  1.) the maximum or minimum objective function will occur at the corners of the feasible region.  Be sure to use these when searching for your best solution!
  2.) Don't trust your graph when looking for the corners... use a graphing calculator OR algebraic reasoning to find the intersection points!
Proficiency Check - Just Graphing
Make sure all homework #12-14 is complete and turned in by Monday.

Monday, February 13, 2012

Core 2--- Week of February 13-17

Monday, 2/13
Toolkit Entry - Quadratic Formula  (This powerpoint walks you through what we did, but not necessarily how we did it...)
Practice Using only Positive Values of a, b and c.
Homework #6 - Monday's Problems Only


Tuesday, 2/14
Today we went over common mistakes that are made while calculating the roots using the quadratic formula and then tried a few problems with multiple negative values...  These common errors include...
  • When b is negative, you must put parenthesis around b2 (on your calculator)
  • When b is negative, don’t forget that  –b (as in:  –b/2a) will be positive.
  • When dividing be sure to multiply the denominator of the fraction (2a) before you divide.
  • Be sure to take the square root before you divide.    

Homework #6 - do Tuesday's problems tonight.


Wednesday, 2/15
More practice with the Quadratic Formula...
Exit Question
Homework - do Wednesday's problems on WS - HW#6  (see above to download)


Thursday, 2/16
Special Cases...
   - 1 root
   - no roots
How do the roots connect to the graph?  (sketch the graphs of each problem)
p. 343 #6aefgh
Homework - do Thursday's problems on WS - HW#6 (see above to download)


Friday, 2/17
Quick Practice -
Fix Exit Question mistakes from Wednesday
Matching Activity
Proficiency Check - find zeros using QF and sketch the graph...
HW#6 due today!  Have a great (long) weekend!

Honors Core 3--- Week of February 13-17

Monday - 2/13
ASSESSMENT over Similar and Congruent Triangles.
Tomorrow - review on angles
Wednesday - assess angles



Tuesday - 2/14
REVIEW over Angle Puzzles and Angle Algebra
   This worksheet has some problems and not others (copyright violations). Come see me for the problems
    you may have missed!
Tomorrow - assess angles




Wednesday - 2/15
ASSESSMENT over  Angle Algebra & Angle Relationships (puzzle-type problems)
No homework


Thursday - 2/16
Introduction to IT Technology Project
  See page 63-64 #1
No homework


Friday - 2/17
Start on project... big idea: what combination of IT-95s and IT-2000s should the comapny make to...

  •    Stay within the time constraints of the company
  •    Make the largest profit

Homework #12 - page 66-67 #4



Wednesday, February 8, 2012

Hamster

Hamster Update:
I don't know how it happened, BUT Spinz got out of his cage and I can't get him back in!L
You'll have to go here now to see him, until I can catch him and bring him back!
In the meantime -  have fun with Max!

Monday, February 6, 2012

Core 2--- Week of February 6-10

Monday, 2/6
Warm-Up: Operations with  Positives and Negatives
Launch: Self-Assess previous Learning... see HW#4 Tuesday problems
Explore:(use the WS here) Predict each match then check using a graphing calculator.  Then, answer the questions at the bottom of the page.
Summary: Go back to home group - share what you discovered.  Turn in WS.
Homework #5 - do Monday's problems


Tuesday, 2/7
SUB TODAY - we watched a movie and turned in a notes page.  No make up work required.
Homework - save Tuesday's problems for tomorrow...


Wednesday, 2/8
Warm-Up/Notes (Toolkit) - where to find zeros on a graph and table
Explore - Putting it all together... where to find zeros using the equation
  page 341 #3ab, #4abc
  Advanced Practice: #3ce, #4h
Homework - see #5 WS above... do Tuesday's problems.


Thursday, 2/9
Warm-Up - 5 problems to refresh the brain... factor, multiply & find zeros
Proficiency Check... factor, multiply and find zeros
Homework - do Wednesday's problems tonight.  HW#5 is due tomorrow!

Honors Core 3--- Week of February 6-10

Monday, 2/6
Warm-Up: Recall previous knowledge - practice similarity problems
Launch: Make Predictions about Congruent Triangles
Explore: Triangle Matching Activity
  What is the least possible information I must know about a pair of triangles in order to be 100% sure that they are congruent?  
This website lists the theorems we can use and shows examples of each.  We discussed all of them except the HL theorem... we'll look at that one later:
Explore (continued) - page 307 #6
Summary: Check in
Homework #10: page 308 - On Your Own  
   Make sure you draw and label each triangle pair!


Tuesday, 2/7
Sub today - review WS (you'll have to get it from me - I can't post it due to copyright laws J
Homework - finish review WS


Wednesday, 2/8
Go over practice/review
Group Proof - together as a class
Set up #8 on page 308
Homework #11 - finish #8 - page 308 ... make sure each problem has marked diagrams and a complete 2-column proof including statements & reasons.


Thursday, 2/9
Definitions/Reasons for Proofs
 * REFLEXIVE PROPERTY:  anything equals itself... ex. a=a
 * DEFINITION OF MIDPOINT:  A midpoint of segment divides the segment into two equal pieces.  (If M is the midpoint of AB, then AM = MB.
 * CPCTC (aka: Corresponding Parts of Congruent Triangles are Congruent):  If two triangles are KNOWN to be congruent, then all the corresponding angles and sides are also conguent.
You will use these properties/definitions in the proofs today, so write them down and be ready to use them.


Station 1: We'll do this one during the review day.
Station 2: Complete the reasons for each step of the proof.  You will need to access the diagrams in your book!
Station 3: Find the error in reasoning for the students Shawna, Guillermo and Sandy.  You will need to access the diagrams in your book!


What's Up Update:
 - Final Assessment on Unit 4 - timeline
   Friday = Review Congruence and Similarity
   Monday = Assess on Congruence and Similarity
   Tuesday = Review Angles (parallel lines, angle pairs, angle algebra, angles in (and out) of polygons...)
   Wednesday = Assess on Angles

No homework tonight - all missing homeworks are due by Monday 2/13 so check on what you're missing!



Monday, January 30, 2012

Core 2--- "Week" of January 30-February 1

Monday, 1/30
Warm-Up
Continue problems on factoring...
page 339 -
   basic factoring: #9a-i
   more complex #10a-i
   tricky #11a-f
   advanced: #9j, #10j, #11gh
Homework #4 - do Monday's problems

Tuesday, 1/31
Warm-Up: find 2 numbers...
Practice: finish p. 339 (see problems above)
Proficiency Check (Quick Check for Understanding)
Homework #4 - do Tuesday's problems (see link above)

Wednesday, 2/1
Self-Assess/Self Select
  Students decided, based on their proficiency check, whether they wanted to:
     a.) work with a partner or help another student
     b.) work on advanced problems
     c.) work alone
Steps were made toward proficiency and students then checked their work on the proficiency check from yesterday, fixed errors (if necessary) and tried advanced problems (if applicable).
Homework #4 is due today.

Honors Core 3--- "Week" of January 30-February 1

Monday, 1/30
1. Warm-Up - solve the following ratios using any method...
       a.   (x + 5) / 9  =  7/12
       b.   x/6 = 13.5/x
2.  Looking at Similar Triangles - Review (see PPT - slide #1)
     Solve for x and y.
3.  What's proficient for Integrated Alg/Geo/Trig 3? (11th grade honors mathematics)?  (see PPT - slides 2-4)
4.  Explore/Investigate - working with your group, complete the front of the WS.
Homework - finish the WS started in class.

Tuesday, 1/31
Go over questions on WS from yesterday
Proficiency Check - similar figures
If you were absent, schedule a time to make this up when you return.
No homework  J

Wednesday, 2/1
ACT Prep #2
- 12 minutes = 12 problems (all problems were over the Geometry and Measurement standards
- discuss with your group - 15 minutes
- choose 2-3 problems that you need to discuss
- Q&A - as many as we can do....
NOTE: I cannot post the ACT prep for you to do at home, as it is official (copyrighted) ACT material.  If you were absent, please look in your folder for the practice problems when you return and ask me how you can simulate the testing experience...
No Homework & Enjoy your Weekend!  J

Monday, January 23, 2012

Honors Core 3--- Week of January 23-27

Monday, January 23
HW Check - quick Q&A
Polygon Numeracy - what's the formula for finding polygon angle sum AND the measure of each angle in a regular polygon (do a Google search if you're not sure...)
Angle Algebra - Notes (get when you return)
Angle Algebra - Practice WS
HW#7 - Workshet - Can't post here... sorry. It's copyrighted.  Check your folder for a copy when you return.

Tuesday, January 24
Practice for Proficiency Check tomorrow
Worksheet is available when you return.

Wednesday, January 25
Proficiency Check - Angle Relationships & Angle Algebra
No homework - just do any missing assignments and get them in!

Thursday, January 26
Refresh our memory - law of signs and cosines... find the value of x on the following figures...
Make predictions - what do we ABSOLUTELY need to know to be 100% sure that 2 triangles are similar?
No Homework!


Friday, January 27
1. Refresh memory - what did we predict yesterday?
2. Show that it works or doesn't work.... once
3. Advanced - how can we use deductive reasoning to PROVE that it will work?
NOTES - three similarity theorems - try this website for a quick taste of what we did... OR google "similar triangle theorems" and see what you find.
HW#8 - page 304 - OYO - be sure to DRAW the figures and mark them with the info you know.  Then make sure you read and answer the question :-)

Core 2--- Week of January 23-27

Monday, January 23
Warm-Up - find area of rectangles by breaking it into smaller rectangles
Corrections - Numeracy work from Friday was returned; corrections made and paper was placed permanently into the Toolkit
Toolkit - Notes on two methods for multiplying binomials
   1. Area Method (Juan's method) - a video for this method can be found here...
   2. Double Distribution Method (Anna's method) - The following video is not the best - but it's the best I could find...
Homework #3 - do only Monday's problems using the appropriate method

Tuesday, January 24
Warm-Up - How we multiply
Toolkit - Notes on the last two methods for multiplying binomials
   1. Vertical Method (Alejandro's method) - I cannot find a good demonstration for this one.  If you were
       absent, you'll have to ask me (or a group member) when you return.
   2. FOIL (Ellen's Method) - MathTV has good videos for this.  Here's what you'll need to do...
        - go to MathTV.com
.       - On the left side is a long list of topics.  Click on "Polynomials"
        - Under that will appear another list - choose "Multiply with Polynomials"
        - Choose any of the following problems:
            Problem #3 - Molly (or Gordon for Spanish)
            Problem #2 - CJ
NOTE- for advanced practice examples, choose problem #4 - any tutor
Homework #3 do only Tuesday's problems using the appropriate method

Wednesday, January 25
Self-Assessment & Self-Selection
 - whose method do you like best?
 - how well do you feel like you're understanding the multiplication of binomials so far?
Rally Coach - partner activity...  if you'd like to practice you can find the activity here.
Homework #3 do only Wednesday's problems using the appropriate method

Thursday, January 26
Introduction to factoring...
Proficiency Check - multiply polynomials
Homework #3 is due tomorrow!


Friday, January 27
Recall - what patterns did we see yesterday?
Explore:  page 339 #9-10 (part j. is advanced... try it if you're ready)
Website:  I don't guarantee that it will teach you - but it might be a good refresher...
MathTV
* Choose Algebra on the left side of the screen
* Under Algebra, choose Factoring 
* Under Factoring, choose Trinomials with a=1
* Choose #1 or #2 - any tutor
This website also has an example...
Homework #3 was due today

Tuesday, January 17, 2012

Core 2--- Week of January 17-20

Tuesday, 1/17
Warm-Up - What do we remember about graphs of quadratic functions? (aka - parabolas)
Explore:  page 334 #3-4
   NOTE: use the worksheet here to help organize your thinking.  You will need to look in the book for the problems!


Wednesday, 1/18
Recap- Finish yesterday's packet
Go over Proficiency Check and Homework
Homework #2: Wednesday's Problems

Thursday, 1/19
Notes - Reviewing the Distribution Property
   ex:  3x(2x – 5) à 6x2 – 15x
If you would like a demonstration on how to use the distibutive property, try this website:
Homework: Do Thursday's problems


HW #2 due tomorrow -- Friday, 1/20!

Friday, 1/20
Numeracy Time... Simplify Expressions by Combining Like Terms
NOTES for Toolkit
   This page is VERY important for you to keep - make sure I see it so it is correct before you put it into your toolkit!
   The diagram in #1 represents the expression:    2x2 + 5x + 9    The diagram in #2 represents the expression:    3x2 + x + 2 (or 3x2 + 1x + 2)HW #2 due today... corrections on HW#1 due Monday!

Honors Core 3--- Week of January 17-20

Tuesday, 1/17
Homework Check (HW#4 - assigned on Friday)
Proficiency Check
Student Survey - please turn in no later than tomorrow (Weds 1/18)

Wednesday, 1/18
Launch: John Hancock Tower
Explore: Types of Angles
    -definitions of angle pairs
Exit Question: Labeling type of angle pairs
Homework:  None :) 


Thursday, 1/19
Quick Check - Angle Vocabulary
LAUNCH - making predictions about corresponding, alternate interior and same-side interior angles
EXPLORE
  - Notes:  Postuate: If two parallel lines are cut by a transversal, then corresponding angles are congruent.
  - page 283 #4
SUMMARY
  share thinking
Homework #5 - Worksheet

Friday, 1/20
Quick HW Check for HW#5
Group Challenge - complete the angle puzzle that we started in class
Homework #6 - Worksheet
I'm sorry, but both the angle puzzle challenge AND the homework WS are copyrighted materials, so I cannot post them.  Please look in your group folder for them when you return on Monday
J

Friday, January 13, 2012

Office Hours Update

I told most of my students, but in case you missed it, my after-school hours will be changing starting next week due to a class I am now taking on Tuesday afternoons.  My new after-school hours will be...
Monday: 'til 4:30pm
Thursday: 'til 4:30pm
(Wednesday and Friday - by appointment only)


Math Cafe runs on Tuesday (with Ms. Allen) and Wednesday (with Mr. Ruff).


A big thank you to my 6th period Honors Core 3 class - we had 9 visitors (teachers from other schools) today and although it was a little unusual having so many adults in the room, you communicated your thinking at impressive levels!  On a Friday even... way to go! 


Have a great and safe 3-day weekend!

Monday, January 9, 2012

Honors Core 3--- Week of January 9-13

Monday, 1/9
Homework Check - as a class, check several versions of problem #1e
Student Mathemagicians - 2 student groups presented their Math Magic problems from Friday and the class solved these problems
ACT Warm-Up (all answers are "c")
Problems to Practice - we just got through and summarized #1
Homework - finish JUST the half-sheet portion of the class work (Problems to Practice) .   We'll continue with the problems tomorrow.

Tuesday, 1/10
Homework Check - small group discussion
Finish WS (See "Problems to Practice" link above)
Summary - Problem #4
Homework #2 - worksheet  (this one is copyrighted so I can't post it - if you were absent, look in your group folder for your copy when you return)

Wednesday, 1/11
Homework Check/ Homework Quiz -small group discussion
ACT Practice #1
     -Individual Work
     -Small Group
     -Whole group Q & A
Homework #2 - if you didn't turn this in today finish it and turn it in tomorrow
NOTE: If you were absent, get the ACT practice from me and talk to me about what to do with it!


Thursday, 1/12
Vocabulary -
 - assumption
 - conclusion
 - counterexample
 - valid argument
Movie Clip - Monte Python's "She's Witch!"
page 262 #3 - looking at valid and invalid arguments
Homework #3 - page 269 - OYO
   make sure you are showing how your conclusion is ALWAYS true... not just once or twice



Thursday, 1/12
We actually watched a movie clip to help understand the difference between assumption and fact… The  powerpoint is here OR if you want, I can send it to you if you email me. 
 Problems (in class) – page 262 #3

HW#3 – page 269 OYO

Friday, 1/13
Warming up our thinking:  
 - read p. 267 #4ab ---  make sure you know how to tell if something is inductive reasoning!
HW Check - 
 - read the paragraph on page 269 under the OYO (homework)
 - use your homework to discuss #8
 - make sure you know how to tell if something is inductive or deductive reasoning!
Problems: page 279-280 #1-2
HW#4 - page 281 #3-4

Core 2--- Week of January 9-13

Monday, 1/9
Big Idea: How is function notation used to express facts & questions about a situation? (continued from Friday)
In Class Warm-Up and Self-Assessment
Toolkit Entry (add Warm-Up Problem #3 to Toolkit)
Explore Problems: page 329: #2, 4 and 3 (do in that order)
Homework #1 - Worksheet (do Monday's problems only)
 - The published worksheet does NOT have the problems on it - they can be found in the book on the referenced pages. See Ms. Totman if you were absent.

Tuesday, 1/10
Warm-Up - find y when x is 4
Toolkit Entry - what is a function?  (Get notes from a group member or friend when you return)
Class Activity - Classify graphs and tables as functions or not functions
Practice - page 329-330 #5a,c,d,e  (#5b = advanced)
Exit Question
Homework - Worksheet (see above) - do Tuesday's problems

Wednesday, 1/11
Re-cap - Functions
Proficiency Check - Functions
Homework - Worksheet (see above) - do Wednesday's problems

Thursday, 1/12
Warm-Up: Order of Operations
Numeracy Challenge: WS - Tables, Equations & Graphs (problems #1-4)
Homework - Thursday's problems are optional (advanced), BUT you'll have to do some research... "domain & range" .  (Google OR look in the book!)
Homework is due tomorrow!


Friday, 1/13
Re-cap yesterday's thinking... what patterns could you use between the graphs (especially the zeros on the graph) to write an equation of a quadratic function
Class Problems - finish the worksheet from yesterday AND try the challenge problems (on the board)
No homework over the weekend!  Have a great 3-day break!

Friday, January 6, 2012

Core 2--- "Week" of January 5-6

Thursday, 1/5
Class Expectations
    -Sign Contract
Getting to know you icebreaker
Function worksheet


Friday, 1/6
Corrections to Thursday's worksheet
TOOLKIT
-Function Notation
     -p. 327-328 #1-2
No HW until next week! :)

Honors Core 3--- "Week" of January 5-6

Thursday, 1/5
Class Expectations
     -Sign contract
Getting to know you icebreaker
Algecadabra!
HW Worksheet: How did she do it?


Friday, 1/6
Homework Check
Algecadabra- Day 2
    - Show how Ms. Totman does her magic trick every time :)
         - p. 241 #1d, 2
HW #1 p. 243 OYO a, p. 241 #1e