Blue = still due. Black = past assignments. Orange = Distinction. Red = Links

Fri.,

Jan 9

Divisions 2 and 3:

• Read pp. 212-213
• Do p. 214+, #5-10, 18-27
• p. 252, #20-28

We.,

Jan 7

Division 3

Lab report on soap experiment

• Title, name, name of other people in your group
• Short description of the experiment and the background (Amphiphilic molecules, detergents, hydrolysis, chemical structure of lipids, etc.)
• Materials used, including glasware, balance, chemicals, oils, etc.
• Protocol of the process
• Results
• Conclusions

Division 2 and 3:

Study vocab from the handout (look for bold words) and answer questions from the description of the experiment on pages 5 and 6. If you need the final version of the handout (Especially division 3), you can download it here .

Please write your protocol on a computer so that we can go back and edit the files until the results are presentable!

We.,

Jan 7

Division 2 and 3:

Lab report on vitamin C titration experiment. Include:

• Title, name, name of other people in your group
• Short description of the experiment and its relevance, and the background
• Materials, including glassware, iodine solution, vitamin C source, starch, etc.
• Protocol of preparation of the solutions (that includes the math!) and the experiment
• Results and processed data
• Conclusions
• Possible sources of errors in the experiment, and ways to address them or how to compensate for them

Further information on the experiment can be found in this pdf file . We will start to revise our protocols from now on, so it will be very useful if you could write them on a computer and save the files where you can access them again!

Fri.,

Dec. 19

Both Divisions

Review vocabulary that is particularly useful for proofs (focus on these for now):

Definitions

• midpoint
• angle bisector
• vertical angles
• straight angle
• parallel
• perpendicular
• perpendicular bisector
• circle
• converse
• inverse
• contrapositive
• complementary
• supplementary
• reflexive, symmetric, and transitive properties of equality
• the notation for, and differences between, a segment, ray, and line
• the similarities, differences, roles of conjectures, theorems, and postulates

Theorems and Postulates

• SAS Congruence
• SSS Congruence
• ASA Congruence
• AAS Congruence
• CPCPC – Corresponding Parts of Congruent Polygons are Congruent
• Vertical Angle Theorem (VAT)
• BAIT – Base Angles of an Isosceles Triangle are congruent.
• Converse of BAIT – if two angles of a triangle are congruent, then the sides opposite them are congruent (the triangle is isosceles).

Division 2:

• Read the following sections of p. 176:
• Basic Ideas
• Postulates
• Theorems
• Constructions
• Do #4-9 on p. 177
• Do #51, 52 from p. 180 in Jacobs.  Please make sure you
• Copy and mark up the diagrams
• Use the 3-column format
• Rely only on postulates and congruence theorems we’ve discussed, not on any intuitive or physical arguments (though those can certainly help with your understanding of why what you are being asked to prove is true)
• Read pp. 212-213 and take notes. 

Division 3:

• Read and takes notes on the following sections of p. 176:
• Basic Ideas
• Posulates
• Theorems
• Constructions
• Do #1-9 on p. 176-7
• Read pp. 212-13, and add the term symmetric with respect to a line to your flashcards.
• Do #5-10, 18-27, 33-37

Mon.,

Dec. 15

Division 2:

• This weekend is a chance for you to catch up -- those of you who have outstanding work, that is.  If you have missed assignments or a large yellow "Redo" on the front of your triangle congruence handout from 12/05, please bring it in on Monday.   

Division 3:

• Do problems 51 and 52 on p. 180 in Jacobs.  Do the full-on proof thang -- make sure that you redraw and mark up the diagrams, have three columns filled with statements, reasons, and premises, and that you EMAIL ME with any questions over the weekend.

Fri.,

Dec. 12

Division 2:

• In Jacobs, read pp. 163-4, again.  Do all of Set I and all of Set II, from pp. 165-7.

Division 3:

• Read pp. 169-171 and be ready to explain in class, at the board, why each of constructions 1-5 "works". That is, you should know why each of the constructions produces what it's supposed to.  For instance, you should be able to prove, using only your notes (not the book!), why, if you copy a triangle by the method outlined in Construction 5, the resulting two triangles will indeed be exact copies of one another (i.e., congruent).  If you would like to refresh your memory on Constructions 1 and 2, see p. 25 in Jacobs. 
• If you did not complete the December 2nd assignment in full, please bring a finished verison of that homework to class.

Thur.,

Dec. 11

Division 2 and 3: Toxins book, p.46. Please answer all questions.

Also, draw the Lewis structures for the following molecules: H2O2, SiO2, MgCl2, HCN and H2C2. (the numbers should be subscript, but the web page doesn't let me do it)

Tues.,

Dec. 9

Division 2:

• Linkage problem, given in class Monday, December 8th
• Read pp. 163-4 in Jacobs.  This is SSS, which we have discussed but not proved in class.  Bring in 1+ pages of GOOD notes (no fragments of sentences, no pronouns without antecedents) on the proof.  Don't worry so much about the details -- concentrate on the skeleton, the basic structure.  It's OK not to understand it the first time, and it's OK to read slowly and in several sittings.  Don't give up!

Division 3:

• Read pp. 163-4, and write a summary of the proof of Theorem 11 (from p. 164).  This is our first real, tough, multi-step proof, and we expect this to be challenging.  Spend mulitple days chewing the proof over, piece by piece.  Chew it thoroughly!  It's OK if it's frustrating at first, and it's OK if your summary isn't "perfect".  The important thing is to understand what logical steps lead us from our givens to our conclusion.

Mon.,

Dec. 8

Division 2:

• Add to your flashcards the following terms:
  • midpoint
  • angle bisector
  • perpendicular bisector
  • The SAS, AAS, ASA, and SSS Congruence Theorems (as "if...then" statements, please -- they are all in Jacobs)
  • The AsS congruence theorem
• "Linkage" problem (from class)
• Read Jacobs pp. 157-8, do Set I (all -- #1-32) and Set II, #33-42

Division 3:

• Add to your flashcards the following terms:
  • midpoint
  • angle bisector
  • perpendicular bisector
  • The SAS, AAS, ASA, and SSS Congruence Theorems (as "if...then" statements, please -- they are all in Jacobs)
  • The AsS congruence theorem
• Read pp. 163-4.  Pay particular attention to the statement (as opposed to the proof) of Theorem 11 on p. 164.  This is SSS, which we have discussed but not proved in class. 
• Do all of Set I and Set II, #26-43, from pp. 165-7.

Fri.,

Dec. 5

Mon.,

Dec. 8

Distinction

Please print out and complete this problem set. Read, attempt, and ask questions by Friday. If you have not completed the second set yet, do that first and immediately to avoid falling too far behind.

Fri.,

Dec. 5

Division 2:

• Triangle congruence handout, given out Tuesday, Dec. 2, in class

Division 3:

• Willy's conjecture proof
• Read Jacobs pp. 157-8, do Set I (all -- #1-32) and Set II, #33-42
• triangle congruence handout, given out last week

Wed.,

Dec. 3

Division 2:

• UPDATED Handout

  Print off and do the following reading (directions are contained within -- the first two pages are a reading, and the next two are questions on the reading.  The whole packet, complete with your notes and underlinings in the reading pages and your answers to the questions, will be due in class on Tuesday).

Tues.,

Dec. 2

Division 2:

• Read Jacobs, pp. 146-147
• Do Jacobs, pp. 148+, #1-9, 16-21, 38-42

Division 3:

• Read Jacobs, pp. 146-7
• Do Jacobs, pp. 148+, #5-9, 38-42
• Read Jacobs, pp. 151-2
• Do Jacobs, pp. 153+ #1-17, 26-29 (make sure to read the sentence above #26, as it pertains to the problems that follow), 30-33 (be sure to read the instructions before #30 and to follow them!)

Division 2:

Tomorrow is the final deadline for all overdue homework assignments.  If you received a slip in class today, please bring all outstanding homework to class tomorrow.

Division 3:

• Tomorrow is the final deadline for all overdue homework assignments.  If you received a slip in class today, please bring all outstanding homework to class tomorrow.
• Please bring quest corrections, on a separate sheet of paper, to class tomorrow.
• Congruent triangles handout (to turn in)

Divisions 2 and 3:

Do the problems from the following worksheet. If you haven't turned in your lab report or the provious homework, do these, too.

There is no homework for Maya or Josh (unless you have outstanding assignments).

Distinction In-class Tool:

1. Download and install the latest version of NetLogo from this page: http://ccl.northwestern.edu/netlogo/download.shtml
2. Save this file to your computer and open it. This will allow you to graph complex numbers and operations. Ooh! Spiffy!

Divisions 2 and 3:

• Do second worksheet on solutions and dilutions. Find a copy here
• Do a proper lab notebook entry for the experiment we did today. Include 1) the rational and a short abstract , 2) a list of the materials, 3) a protocol (best in a list form rather than a narrative) describing the steps of the experiment in enough detail that somebody with a basic understanding of chemistry coudl repeat the experiment (Think: you as of Wednesday), 4) a description of your observations, including the crystal shapes. Also try to adress the questions that have been raised by the textbook on page 37 in this section. Last, 5) a conclusion

Division 2:

• Read Chapter 4 Lesson 2 (Polygons and Congruence)
• Add the definition of polygon to your vocabulary stack.
• On page 141 on do problems #:
  • 8 (read the description on 141) through 16 (when naming congruent triangles, name the vertices in the same corresponding order),
  • 24 - 30, 39 - 43 (an informal definition of concave is that a concave figure has a dent in it).
  • Problem Set III on page 145.

Division 3 (three) (III):

• Read Chapter 4 Lesson 3 (ASA and SAS Congruence (but not the naughty one))
• Add the two postulates to your stack of cards.
• Why do you think ASA and SAS are postulates and not theorems?
• Do on pages 148 - on, #s 1 - 4, 22 - 32, 38 - 47. Note: for 38 - 47, try to provide technical reasons (like VAT, reflexive, symmetric or transitive properties, etc.), not casual explanation. Use proper terms and justifications (which are 1) definitions, 2) postulates, 3) theorems, 4) given).

Distinction: Finish the second problem set on Complex Numbers and Their Graphs. Calculate carefully or your pictures will not turn out well and teach you what they are supposed to teach you. Feel free to email Josh with questions or answers to check.

Divisions 3:

• Read Chapter 4 Lesson 2 (Polygons and Congruence)
• Add the definition of polygon to your vocabulary stack.
• On page 141 on do problems #:
  • 8 (read the description on 141) through 16 (when naming congruent triangles, name the vertices in the same corresponding order),
  • 24 - 30, 39 - 43 (an informal definition of concave is that a concave figure has a dent in it).
  • Problem Set III on page 145.

Divisions 3: Complete the reading Asymmetry Can Cause Trouble: Thalidomide and Its Enantiomers and answer the questions on the final page.

Division 2 and 3 - Crystalyn, Cleo, Harrison, James, Joey, Kaleigh, Raphael, Kaylee, Matthew, Sidney and Willy. Complete second worksheet on concentrations (Concentration Problems 2) and hand it in together with the completed worksheet that was due on Wed.

Thurs.,

Nov 13

Divisions 2 and 3: Do worksheet/review on dilutions with the problem set at the end. Download a copy here .

Crystalyn, Cleo, Harrison, James, Joey, Kaleigh, Raphael, Kaylee, Matthew, Sidney and Willy - Check later for additional problems.

• Divisions 2 and 3: Do worksheet/review of solutions and concentrations. Read vocab, do problems in the back. Here is a link to a pdf copy of the handout if you need it.
• Divisions 2: Complete the reading Asymmetry Can Cause Trouble: Thalidomide and Its Enantiomers and answer the questions on the final page.
• Divisions 3: Use Geometer's Sketchpad to solve at least the first two of these problems according to the instructions and what we did in class. Print out your solution to the ones you solved for handing in. The third one is for distinction and anyone interesting in a challenge (and why wouldn't you be? What would it mean for you to not want challenges in your life?? How will you learn without them???):
  • Miniature Golf Sketchpad Problems:
    • MG1
    • MG2
    • MG3

Divisions 2 and 3:

• Read pp. 312-313 in Jacobs; do p. 316, #33-40 and all of Set III on pp. 317-18
• Read pp. 319-320 in Jacobs; do p. 321 #1-4; p. 322 #19-21, and Set III on p. 324

Reminders:

• All homework is to turn in, so it should look presentable.  Please make sure there are no chunks ripped out of your sheets, that your work is written neatly on reasonably sized paper, and that there are no crinkly edges.
• Put your NAME and the DATE on the top of your homework.
• Staple your homework BEFORE you get to class if there are multiple sheets.

Add to your vocabulary stack these math terms:

• Corresponding points
• Invariant point
• Isometry
• Congruent
• Rotation
• Translation
• Reflection
• Center of rotation
• Magnitude of rotation
• Corresponding segments
• Equidistant
• Axis of symmetry
• Transformation
• Glide reflection (this is in the Jacobs book -- see p. 313)

Add to your vocabulary stack these chemistry terms: element, mole, molar, molarity, solute, solvent, concentration, atomic mass, atomic number, proton, neutron, electron.

Divisions 2 and 3:

• Classify all the capital letters in English (in their simplest forms) according to their symmetries. For example, "A" has a reflection in a vertical line, and "R" has no symmetry.
• Set III on p. 324 in Jacobs.

Divisions 2 and 3:

Download the powerpoint presentation on molecular weights. It should open in Powerpoint as well as in Open Office. Review how to calculate the molecular weight of a molecule or a complex, and do all the examples in the presentation:

Molecular Weights

Division 2:

If you have not done so already, do the below reading and written work. 

• Read Jacobs pp. 298-300
• Do Jacobs #1-24 (Set I); #1-2 (Set III), pp. 300-304
• Play with GSP 3 (below) and see if you can find the center of rotation.  Be ready to present your findings to the class, and also bring a printout of your final screen to turn in.

Division 3:

If you have not done so already, do the below reading and written work. 

• Read Jacobs pp. 298-300
• Do Jacobs #1-24 (Set I); #1-2 (Set III), pp. 300-304

Division 3:

• Read Jacobs pp. 298-300
• Do Jacobs #1-24 (Set I); #1-2 (Set III), pp. 300-304

Distinction (also available to others who want to learn about imaginary and complex numbers, fractals, and chaos):

Print out this Problem Set. For Wed, read all problems, by Friday have tried all problems and gotten help from Josh or Maya when stuck, by Monday, completed and handed in.

Division 2:

All of the below, except for the Jacobs reading, is to turn in. Please have your homework out and ready to turn in at the beginning of class, stapled and with your name and date on the top.

• Mira quiz (Activity 44 from the first Mira packet)(to turn in)
• Read Jacobs, p. 305-307
• Do 10-17, 18-20, 21-23, 26-30 on p. 309 (to turn in)

Division 3:

All of the below, except for the Jacobs reading, is to turn in. Please have your homework out and ready to turn in at the beginning of class, stapled and with your name and date on the top.

• Mira quiz (Activity 44 from the first Mira packet)(to turn in)
• Read Jacobs, p. 305-307
• Do 10-17, 18-20, 21-23, 26-30 on p. 309 (to turn in)
• Think about Jeremy's conjecture: "a shape with all sides the same length has as many lines of symmetry as it has sides."   Decide whether you think it is true or false.  If it's true, prove it.  If it's false, provide a counterexample.  (to turn in)

Links for Use in Class (Not HW):

• GSP1
• GSP2
• GSP3
• GSP4

Words to learn: solution, homogeneous, heterogeneous, mixture, solvent, solute, filtrate, sediment, hydrocarbon, polar, apolar, extraction, yield

Do the following problems:

1) You have re-crystallized 300 g of copper sulfate. After disolving the salt in hot water, you let the solution cool down again and wait for crystals to grow. Aftrewards you filter the mixture and try the sediment. You end up with 240 g. What was the yield of the recrystallization?

2) You have come up with a molecule that acts as a cure for cancer. Your yield for the complete purification is typically 27%. How much do you have to start with if you want to end up with 210 g of purified compound?

3) So far we have learned about filtration and extraction. If you have a homogeneous solution, which one of the two would you use to purify the different components of the mixture?

Distinction: 4) Based on what you have learned about molecules as slovents, which of the following molecules would make a polar solvent and which would make an apolar solvent. Give the reasoning behind your answers!

Divisions 2 and 3:

• Finish reflection handouts (reflecting letters, SASSAFRASS, etc.)  Page 67 is to turn in, so make sure your name and the date are on it.
• Geometer’s Sketchpad activity details:
  • Open Sketchpad, and start a new document.
  • Using the line Tool, draw a line (not a segment or a ray).
  • Draw a point not on the line.
  • Without using the Transform menu (but only the circle, point, and line tools), construct the reflection of your point over your line.  Recall that in past constructions, properties of circles have been particularly useful to us.
  • Experiment with circles to find the reflected point.  Don’t give up!
  • Check your answer by moving the original point (called the preimage) around – does the entire setup (line, reflected point, and all) move with it?
  • Print out something you tried at home in connection with this construction.
• Is “is a reflection of” reflexive?  Transitive?  Symmetric?  Answer “yes” or “no” and write 1-2 sentences of explanation.
• Write a definition of “isometry”.  Be prepared to share your definition with the class.
• Print out both of the following diagrams.  Then write an expression for each unlabeled angle.  This is to turn in, so it needs your name and the date.

New words in purple.

acute, angle, betweenness, circle, closed/closure, collinear, complementary angles, concurrent, conjecture, contrapositive, converse, converse error, coplanar, corollary, deductive reasoning, dense, inductive reasoning, inverse, inverse error, non-collinear, obtuse, opposite rays, parallel lines, perpendicular lines, postulate, proof, rectangle, reflexive, right angle, square, straight angle, supplementary angles, symmmetric, theorem, transitive, transversal, vertical angles.

Divisions 2 and 3:

• Read and take notes on Chapter 3 Lesson 2 pages 84-86.
• Do on page 86 - on # 13-15, 38-41
• JU = 6. UP = 9. JP = 15 Show a drawing that satisfies all of these distances.
• RS = 6. RT = 9. ST = 7 Show a drawing that satisfies all of these distances.
• MA = 6. MP = 9. AP = 1 Show a drawing that satisfies all of these distances.
• AB = 14. CD = 27, AC = 3, BD = 10. Show a drawing that satisfies all of these distances.
• L, I, M, and P are collinear with L--I--M--P. LM = 10. IP = 10. IM = 3. What is LP?

Divisions 2 and 3:

We will be giving weekly assignments to help review/build and further assess your technical skills in areas of arithmetic, algebra, and geometry. All 8 - 10 graders (i.e., all RIMAS students) should do the problems below:

Algebraic expressions review (p. 40 in Jacobs, #13-36 all, #46. Check some of these by plugging numbers into your beginning expression and the ending one and making sure these numbers match.)

Distinction - Read the Scientific American article on Creating New Elements. If you do not have that article, you should read:

• http://www.cnn.com/2004/TECH/science/02/02/new.elements.ap/index.html and answer these questions:
  • How are super heavy elements made?
  • Were the discoveries of these new elements accepted? Why or why not?
  • Why does the article claim that these elements are unlikely to have practical uses?
• http://www.sciam.com/article.cfm?id=superheavy-element-ununbium-has-ordinary-chemistry and answer:
  • When ununbium is created from the decay of the merged plutonium and calcium, a particle is ejected. How many protons and neutrons does that particle have? What element is the ejected particle? Is it the normal isotope?
  • Look at a periodic table of the elements. What row would ununbium be in? What column? Does ununbium have any incomplete electron shells? What is its shell configuration?

Division 2:

On pp. 37-8 of Jacobs, do problems 18-26 (inclusive) from Set II.

Division 3:

From Maya (note that all of this work is to turn in!):

• Do the reading from the Howard Eves book, except for the parts I told you could be omitted.  Just some vocabulary notes -- on p. 43, integral number means "whole number", and on p. 44, in the footnote, unity means "one".  Your assignment, apart from reading these few pages, is to write a one-sentence summary of each paragraph.  I know this is a challenging text to read, so please feel free to email me with questions/talk to me during SREPTs about it. 
• Prove the Lemma from class: If a is a whole number, and a^2 is even , then a is even.  Use the formal definitions of even and odd!
• Write a paragraph about why the angle bisector construction we did in class on Tuesday actually splits the original angle in half.  No arguments based on measurement or eyeballing!
• Look up "unique prime factorization" and write a couple of sentences (2-3) explaining what it is.

Division 2 and 3:

Download these Java applications:

Black body radiation

Discharge Lamp

Division 2:

From Ralph: Alchemy, p.65: Questions 2 and 3

From Maya: Redo problems 10, 11, 12 on p. 27 in Jacobs

Division 3:

From Ralph: Alchemy, p.61: Questions 1 - 9

Division 3:

In the Jacobs book, read chapter 2 section 4. Do problems #3, 4, 5, 6, 7, 8, 15, and 16.

Distinction

• Do the first problem of this set of settings and work ~45 minutes on one or more of the others. Working on fewer in depth is more important than skimming over all of them in a skimmy way. Write down your steps and reasoning.

Division 3:

• From Maya and Josh: keep thinking about the expression (sqrt(2))^2 = (a/b)^2.  Manipulate it.  See what you can conclude about the various forms you come up with.  We will complete the proof of the irrationality of sqrt(2) on Tuesday. 

Division 2:

• From Ralph: Determine the electronic structure of Sulfur (S), Oxygen (O), Magnesium (Mg) and Potassium (K). Short essay: What did we have to do to get the colored flames in our demonstration outside?
• From Maya: Do problems 10-16 (inclusive) on p. 27 of the Jacobs book (this is the tail end of Set 1). 

Division 3:

• From Ralph: Determine the Lewis structures of the molecules formed if you combine Sodium (Na) and Chlorine (Cl), Beryllium (Be) and Fluorine (F), Aluminum (Al) and Oxygen (O). Short essay: Why is the light from the halogen flood light different from the light we get from adding salts to a flame?
• From Maya: Do problems 10-16 (inclusive) on p. 27 of the Jacobs book (the tail end of Set 1).

Division 3:

• Do the review problems below and the regular problems here.
• For all of these problems, be sure to test multiple examples and to try to find extreme cases (situations at the "edge" of what you  might consider) to make sure you are considering all possibilities before declaring something "true". Give reasoning to support your answer if you declare a property "true"; if you think a property does not hold, give a counterexample.
  • Write out the statement of the reflexive, symmetric, and transitive properties of to the left of. 
  • Which are true? 
  • Write out the statement of the reflexive, symmetric, and transitive properties of is congruent to.
  • Which are true?
  • Write out the statement of the reflexive, symmetric, and transitive properties of is the ancestor of.
  • Which are true?
  • Write out the statement of the reflexive, symmetric, and transitive properties of parallel to.
  • Which are true?
  • Write out the statement of the reflexive, symmetric, and transitive properties of is a subset of.
  • Which are true?
  • Write out the statement of the reflexive, symmetric, and transitive properties of has the same birthday as.
  • Which are true?  

Division 2:

• Do the review problems below and the regular problems here.
• For all of these problems, be sure to test multiple examples and to try to find extreme cases (situations at the "edge" of what you  might consider) to make sure you are considering all possibilities before declaring something True or Closed.
  • Write out the statement of the reflexive, symmetric, and transitive properties of to the left of.
  • Which of these are true properties?
  • Write out the statement of the reflexive, symmetric, and transitive property of parallel to.
  • Which of these are true properties?
  • Write out the statement of the reflexive, symmetric, and transitive property of divides evenly into.
  • Which of these are true properties?
  • Which of the above properties behaves the same as is an ancestor of? Why are they similar?

   

  • Is the set of whole numbers closed under subtraction (i.e., whenever we subtract two whole numbers, will we always get another whole number)?
  • Is the set of real numbers (all integers, decimals, and fractions) closed under multiplication?
  • Are the real numbers closed under division?
  • Are f ractions closed under addition?

   

Division 2 & 3:

Post-quest Practice (click here for a more easily printable copy of this):

• Vocabulary (first score): If you got less than 8 (or 7 11/12ths) on the vocabulary section, go to the glossary section at the end of the textbook and make new flash cards using the exact wording for (those in italics are not in the glossary):
  • acute, angle, circle, collinear, complementary angles, concurrent, conjecture, contrapositive, converse, converse error, coplanar, corollary, deductive reasoning, inductive reasoning, inverse, inverse error, non-collinear, obtuse, opposite rays, parallel lines, perpendicular lines, postulate, proof, rectangle, right angle, square, straight angle, supplementary angles, theorem, transversal, vertical angles.
• Logic (second score): If you got less than 5 on this section, do this problem (actively look to avoid making converse and inverse errors and to see if the contrapositive of a statement is informative). If you got less than all six, this is also still worthwhile practice. Make a diagram showing the links that you claim. Do not make claims based on anything but what is stated here.
  1. Elizabeth is a Queen
  2. If you are royalty then you have a furry jacket.
  3. If you are a commoner, you do not get to live in a castle.
  4. If you live in a castle, then you have a stone hearth.
  5. If you do not have a furry jacket, then you are cold in the winter.
  6. If you ignore the pleas of the commoners, then you have a stone heart.
  7. If you are a queen, then you are royalty.
  8. If your husband is the king, then you are the queen.
  9. If you are a queen, then you get to live in a castle.
  • For each of the following answer True, False, or Can't be determined from the given information:
    • Elizabeth is royalty.
    • Elizabeth has a furry jacket.
    • Elizabeth is a commoner.
    • Elizabeth has a stone hearth.
    • Elizabeth has a stone heart.
    • Elizabeth is cold in the winter.
    • Elizabeth's husband is the king.
    • Elizabeth lives in a castle.
• Angles

Using your notes on different angle relationships, find (not necessarily in this order) the measure of:

• Angle ADE
• Angle CDB
• Angle BDA
• Angle LDM
• Angle MDE

Please get help during SREPT on Monday if this type of algebraic situation is unclear for you. Find, in terms of M, N, and P, the measure of:

• Angle agb
• Angle dgc
• Angle bgc
• Angle fge
• Angle bgc without using M.

Distinction

• Read the essay The Unexpected Hanging
• Try to estimate how many alpha particles out of 132000 will be reflected from a 5 micrometer ( 5 * 10^-6 m) thick gold foil, if the diameter of a gold atom is 10^-10 m. Assume that the nucleus is a flat disk to make the math easier.

Division 3:

• 1 mol of water weighs 18 g. How many mols are in 1 liter of water?
• Avoadro's number is 6.022 * 10^23/mol. How many water molecules are in 1 g of water?
• How did Thomson make certain that all electrons had the same speed?

Division 3:

• On page 63 #19-25 (imagine the cubes in 3-D).
• Read Chapter 3 Lesson 5 pages 105-106. Note similarities to the proof of Theorem 3 and our proof of the Vertical Angles are Equal theorem. Do you see the overlap? Do problem #4-7, 36-41, 44, 45

Division 2:

• The components of a deductive system which we have discussed are:
  • definitions
  • undefined terms
  • postulates (also called axioms)
  • conjectures
  • theorems
  • proof
  • deductive reasoning
• Write a description of each of these being sure to note at least one connection with one of the other terms.
• Make a diagram with each term in a circle and draw a line between each pair that you identified a connection for. Are all of your circles connected at least indirectly or are there separate groupings of disconnected circles? If there are separate regions, try to come up with more possible connections between the ideas.
• Make cards for new vocabulary and study all cards.
• On page 62-63 #8-15, 19-25 (imagine the cubes in 3-D).
• Page 73, do Set II #31-32

Division 3:

• In the textbook (handed out today), read chapter 1 lesson 1 (pages 8-9) and make cards for new vocabulary and study all cards.
• On page 11, do problem set II (#s 17-27).
• Read chapter 2, lesson 5. Do on page 62-63 # 8-15, 32-36.
• Catch up on Friday's HW if you did not complete it.

Division 2:

• In the textbook (handed out today), read chapter 1 lesson 1 (pages 8-9) and make cards for new vocabulary and study all cards.
• On page 11, do problem set II (#s 17-27).
• Read chapter 2, lesson 5. Do on page 62-63 # 32-36.

Division 3:

• Write up to half a page on the nature of a deductive system: Be sure that your discussion explains each of the following and notes as many connections between them as possible:
  • definitions
  • undefined terms
  • postulates (AKA axioms)
  • conjectures
  • theorems
  • proof
  • deductive reasoning
• Study cards for new vocabulary and study all cards.
• Angle A is complementary to angle B. Angle B is supplementary to angle C. What is the relationship between angles A and C (take your time on this). Try to prove your claim.

Division 2:

• In the handout "Definitions" Read pages 46-47 and do problems #6-12, 34-37, Set III.

Division 2:

• In the handout "Angles in Measuring the Earth", read pages 13-15 and do # 1-6, 9, 14, 15 and Problem Set III (right hand column on page 17 - write out your work clearly with calculations and words expaining what they show).
• The handout claims that Eratosthenes "knew that Alexandria was about 500 miles north of the city of Syene." That is a silly statement since miles were not the unit of measure used byt the Greeks. As we saw in the other handout, length was measured in stadia. Research online how long stadia are.
• Make study cards or guides and memorize vocabulary (new and old) really well.

Division 3:

• Angle problems are forthcoming. Please check back!
• Make study cards or guides and memorize vocabulary (new and old) really well.

Division 2 and 3:

Chem experiments will start on Wednesday! Review Lab safety rules and lab safety contract. Return contract signed by you and your parents.

Source: The Periodic Table of Videos, http://www.periodicvideos.com/index.htm#

Division 2:

Select an element from the second row (Li, Be, B, ... , F, Ne) and compare and contrast three of its characteristics with the element directly below. What is similar, what is different. Use a simple table format for your answer.

Division 3:

Compare and contrast carbon (C), silicon (Si) and germanium (Ge) in a table. What is similar, what is different between these elements. Find industrial or everyday uses for at least two of them.

Distinction:

Find shared characteristics between an element in the fourth row from Sc (scandium) to Zn (zinc) and the elements directly below them.

Divisions 2 and 3:

Read chapter 4 from "The Ten Most Beautiful Experiments" (handout copy). Write a short essay (100 words or more) about the reasoning Lavoisier used to prove the existence of oxygen.

Distinction:

Listen to the mp3 file "The Discovery of Oxygen" at http://public.me.com/rpeteranderl

Compare the different perspective of the audio piece with the written chapter. Who do you think did contribute most to the discovery of the element?

Division 3:

• Do problem #1 (the one at the bottom of the page) on the one page angle handout. Find all possible engle measurements.
• In the handout "Definitions" Read pages 46-47 and do problems #6-12, 34-37, Set III

Division 2:

• Due Wednesday: To Be Posted

Division 3:

• In the handout "Angles in Measuring the Earth", read pages 13-15 and do # 1-6, 9, 14, 15 and Problem Set III (right hand column on page 17 - write out your work clearly with calculations and words expaining what they show).
• The handout claims that Eratosthenes "knew that Alexandria was about 500 miles north of the city of Syene." That is a silly statement since miles were not the unit of measure used byt the Greeks. As we saw in the other handout, length was measured in stadia. Research online how long stadia are..
• Memorize vocabulary (new and old) really well.

Division 2:

• Keep reviewing the vocabulary if you get an email from me about it.

Division 3:

Install Geometer's Sketchpad software on your home computer.

Division 2:

• Install Geometer's Sketchpad software on your home computer.
• Keep working on problem 3 getting MI --> MIII. If you can do it, do! If you can't, look at the rules and write full English sentences explaining what about the rules would make it impossible. What is the effect of each rule? How would it help or not help in getting three I's?

Thur., Sept. 11

Thur., Sept. 11

Distinction:

Do the logic problems on both pages of this handout.

Division 2:

• Were you able to answer all of the questions from Joey's cards in class today (most of you were not)? Then you need to make cards of your own tonight to show me.
• Do Problems A) and B) and the three at the way bottom line of the handout on MIU words. Write out your steps with the rules. Practice working from the beginning out and the end backward until you can meet somewhere in Pennsylvania (or the MUI equivalent).

Division 3:

• Do the remaining MUI problems including the three at the bottom line of the page.
• Practice the vocabulary list from last night (make file cards unless you absolutely know the words and terms all cold).

Please turn in summer math homework that you did to Maya. Also, if you have not turned your Mutant writings in yet, please give them to Betsy or Vickie or Sara.

Division 2:

Memorize vocabulary (make flashcards if needed):

• Conditional statement, premise/hypothesis, conclusion, Euler diagram.
• Converse, inverse, contrapositive, logically equivalent, converse error, inverse error.
• Induction, deduction.

Division 3:

• Do this handout on Gerald the Gnu.
• Do at least through problem B on the bottom half of the MIU handout.
• Memorize vocabulary (make flashcards if needed):
  • Conditional statement, premise/hypothesis, conclusion, Euler diagram.
  • Converse, inverse, contrapositive, logically equivalent, converse error, inverse error.
  • Induction, deduction.

Division 2

• In the second packet:
  • Page 26 #17-24.
  • Do the problems on this handout.

Division 3

• Page 26 #15-18.
• Complete the handout on squares and Shawna (write out the justification).

Division 2

• In the first packet:
  • Page 44 #15, 19, 27-30.
  • Page 6, read and do Problem Set I #1 - 11.
• In today's handout:
  • Read pages 23-24.
  • Do starting on page 25 #1, 11-14

Division 3

• On page 44-45, do # 18 - 21, 27 - 36.

Be sure to read the instructions above/before the problems!

Division 2 (grades 8 & 9):

• In the handout from class, read page 42 (sorry about the missing letters) and 43 (no missing letters).
• On page 43-44, do # 1 - 9, 12 - 14, 16, 17, 18, 20, 31 (convert to if then form first), 32 (there is more than one answer), 33.

Division 3 (grade 10):

• In the handout from class, read page 42 (sorry about the missing letters) and 43 (no missing letters).
• On page 43-44, do # 1 - 9, 12 - 14, 16, 17.
• Read page 6, do problem set 1 #1-11.