Tuesday, August 31, 2010

LSAT Prep Book Recommendations

Here's the moment you've all been waiting for: my LSAT prep book recommendations.

Happy holidays to everyone. There WILL be more tips next week too, don't worry - not everyone is on vacation. :D Recommendations below. Stay warm!


PrepTests 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, and 56
by LSAC

Each are only sold individually, as LSAC has not yet published a book of ten exams containing them. Because the exam has changed in recent years, you'll need several of these to study effectively.

When to use: after you've completed the other PrepTests.

The Next 10 Actual, Official LSAT PrepTests
by LSAC (older edition)

Contains PrepTests 29-38 and is the newest book of ten. It's essential that you get your hands on these in order to study effectively.

When to use: during exam prep.

10 More Actual, Official LSAT PrepTests
by LSAC (older edition)

Contains PrepTests 19-28.

When to use: during exam prep.

10 Actual Official LSAT PrepTests
< br />by LSAC (older edition)

Contains most PrepTests from 7-18. Only worth doing if you're studying far enough in advance that you'll have enough time to do the most recent exams as well.

Note: These exams are really old - from 12/92 - 9/95. Don't be concerned if some of the games are a bit difficult. You'll rarely see these types on recent exams.

When to use (if at all): in early stages of preparation to familiarize yourself with the exam.

The Official LSAT SuperPrep
by LSAC (older edition)

Contains a few exams you can't find anywhere else: 2/96, 2/99, and 2/00. The explanations within are the biggest selling point, but most people find them to be confusing and technical.

When to use (if at all): in early stages of preparation.


June 2007 LSAT exam (PDF)
by LSAC

Free sample exam. Treat it as if it were PrepTest 52.5 when making your study schedule.

LSAT Logic Games Bible (2003)
by Powerscore (2008)

This book contains the best Logic Games diagramming techniques I've seen, and I've reviewed all the LSAT prep books out there. The drills are useful, the organization is clear, and the book demonstrates its techniques on real LSAT PrepTests.

Skip the section on "Pattern Games" and "The Forgotten Few" unless you've already mastered other game types. Also, don't worry too much about the book's complicated subclassifications. You'll be fine if you can distinguish between the main game-types: linear/sequencing, grouping, and combination.

Unless you have a lot of time, I recommend the 2003 edition. Why? Because the 2008 edition is nearly twice the size. It appears the author beefed it up to justify the $65 retail price tag. Also, the 2008 edition exposes you to recent games you'll want to save for later practice tests.

When to use: Before you attempt logic games from the books of PrepTests.

Logic Made Easy: How to Know When Language Deceives You
by Deborah Bennett (older edition)

Although not explicitly written for test-prep purposes, this book contains several logical reasoning-type questions and reviews several common fallacies. The author is clearly familiar with the LSAT, and this makes the book more relevant for our purposes. I highly recommend reading this because it is clear, full of simple examples, and concise. You can skip the parts on the history of logic.

American Scientist's review.
When to read: Before you begin LSAT prep or when you need! a break from practice exams.

Informal Logic: A Pragmatic Approach

by Douglas N. Walton (older edition)

Clearly explains and demonstrate multiple examples of valid and invalid arguments. Walton is obsessed with logical fallacies and covers many of the common ones appearing on the LSAT.

When to read: Before you begin studying or when you need! a break.

Elementary Logic: Revised Edition
by William V. Quine

At 144 pages, it's short and sweet. It's also the first-ever logic textbook (originally published 1941, revised 1980). It discusses many basic issues (necessary/sufficient, etc.) relevant to LSAT logic. If you have the time/inclination, feel free to look it up, but it's by no means necessary.

When to read: Before you begin studying or when you need a break.

How to Solve It: A New Aspect of Mathematical Method
by George Polya (Older editions)

Simple advice on problem solving and logical thinking. It's useful because it gives you a framework to identify and analyze the relationship between evidence and conclusion. Wikipedia, this summary, and the following will probably be enough for you.

The book gives you some questions to ask yourself about any Logic Game or Logical Reasoning Stimulus:

1. What information is unknown/provided? Does the evidence/premise satisfy the conclusion?
2. How is this game/stimulus similar to others you've done? Questions do tend to come back in future exams (with different topics, of course).
3. ! Does a restatement (the contrapositive) of the argument help?
4. What inferences can you make?
5. How can you use these inferences?

Another nice summary.

When to read it: Before you begin studying or when you need a break.

The Little Luxe Book of Sudoku: 335 Easy to Hard Puzzles and The Little Black Book of Sudoku: 400 Puzzles
by Will Shortz

Number puzzles exercise your brain and get it ready for the logic games.

When to use: Before you begin studying or when you need a break.

T! hat's it - see you next year!

---------

! Next wee k: How to study for a retake (or what to do when you've already used too many PrepTests)...
Continue Reading...»


free tutors

Positive and Negative Triangles

After the excitement of last week's conference, it is good to turn back to our usual dull and LENGTHY ploddings, where you can just double-click away from me if I am boring you. But I ought to note something about it, since I was there, and I had a good time, even though it was truncated somewhat for me, due to matters beyond my control.

I saw several old friends, and met several new ones, and it was an awesome time. I laughed a lot, had some beer, and some food, and I think I might have also slept, but I forget. Not that it matters, hee hee. I think some people were surprised to learn that there really is a "Dr. Thursday" and he is not just a pen name of someone else.

The one talk which our esteemed blogg-mistress did not mention in her commentary was (in my own opinion) the best. It also happened to be the one SHE gave! It was titled "The Woman Who Was Chesterton" and (as she remarked) perhaps it sounds as if it was going to be some sort of "gender ! studies" approach to GKC's writing, his "inner female" or some such. Here, she could have quoted the very famous lines from GKC's letter to - er - to someone else. (I'll tell you who a bit later.) The lines I shall quote will earn you swift and immediate condemnation in the modern world, though the great ranks of the Scholars of the Middle Ages will welcome you among their number, since the lines are indubitably true:
I like the Cyclostyle ink; it is so inky. I do not think there is anyone who takes quite such a fierce pleasure in things being themselves as I do. The startling wetness of water excites and intoxicates me: the fieriness of fire, the steeliness of steel, the unutterable muddiness of mud. It is just the same with people.... When we call a man "manly" or a woman "womanly" we touch the deepest philosophy.
[GKC writing to (someone) quoted in Ward Gilbert Keith Chesterton 108-9]
Very impressive. Anyway, the talk discussed the lif! e of a certain person about whom we as Chestertonians ought to! be inte rested in. I didn't take notes, as I was too entranced to do such mundane things, and I knew there would be a recording. Besides, it was scattered with most delightful humour, suggesting how Chesterton would handle life in the INTERNET age - I especially liked the bit that went something like this:
"I say! Shaw has accepted my FRIEND request!"
But anyway, there was one particular pun which was left out. And you can find that pun here, but it may be made more clear - that is, the real topic of that talk will be revealed if I say it in this fashion:
There was one thing in particular in which GKC anticipated our modern "connected" electronic age. It was this: Long before the INTERNET came to be, G. K. Chesterton got his very own Blogg on June 28, 1901.
Ah well... if you are still confused I will spell it out in ASCII for you: That was the day on which Gilbert Chesterton married Frances ! Blogg. (Yes, that really was Mrs. Chesterton's maiden name, and she was the topic of Nancy's excellent talk: she was the Woman Whe Was Chesterton.)

As it happens, just before the conference I was looking into a very interesting puzzle, one which has tormented computer science for some time... but I won't go into that just now, since it may irritate some of my readers, and unduly attract attention from - er - various government agencies. Not that I have any insights, of course! Indeed, all I had was a new question. And from that question I was led to study some very curious things, some of which almost do not make sense until you poke around a little and try to understand why the words are used in that way. It's far more magical than any magic - in fact, it's precisely the true difference between magic and technology, the difference which poor Arthur C. Clarke happened to miss. But I cannot lecture on that matter just now; besides I've already put it into a story,! and it's much better there. So let us proceed.

Jus! t yester day (or maybe Tuesday) I found out that a triangle can be "positive" or "negative". This sounds hilarious, and perhaps not very Chestertonian, until you recall that Gabriel Gale asked:
"Were you ever an isosceles triangle?"
in "The Yellow Bird" in GKC's The Poet and the Lunatics. In fact, you can find quite a bit of homage to Euclid and triangles in Chesterton - and they often lead to even more amazing truths. For example:
There is one element always to be remarked in the true mystic, however disputed his symbolism, and that is its brightness of colour and clearness of shape. I mean that we may be doubtful about the significance of a triangle or the precise lesson conveyed by a crimson cow. But in the work of a real mystic the triangle is a hard mathematical triangle not to be mistaken for a cone or a polygon. The cow is in colour a rich incurable crimson, and in shape unquestionably a cow, not to be mistaken for any of its evolution! ary relatives, such as the buffalo or the bison. This can be seen very clearly, for instance, in the Christian art of illumination as practiced at its best in the thirteenth and fourteenth centuries. The Christian decorators, being true mystics, were chiefly concerned to maintain the reality of objects. For the highest dogma of the spiritual is to affirm the material.
[GKC William Blake 132ff]
Ah! Read it again: "The highest dogma of the spiritual is to affirm the material." It's simple, too: you cannot feed the hungry or clothe the naked by theology. It requires knowledge of cooking and sewing, of agriculture and textiles, but it also means CHEMISTRY and BIOLOGY and all sorts of theoretical and practical disciplines. But then we already knew that: "It is wrong to fiddle while Rome is burning; but it is quite right to study the theory of hydraulics while Rome is burning." [GKC WWWTW CW4:43]

Ahem. To revert to the positive and negative tri! angle.

The idea is quite simple, and in fact links ! in to a very great concept - the idea of "chirality" or "handedness" - the idea of RIGHT and of LEFT. When we "name" a triangle, that is, we go out onto our lands with our surveying tools, our transits and chains and plumb bobs, and we select (much as the Roman augurs would) the three points which are the three "GONs" - the angles or corners - why, depending on the ORDER IN WHICH we choose those three points, we give that triangle either its positive or its negative state. The Romans, of course would label it fas or nefas - lucky or unlucky. But this is a simpler idea, even if there is still something sinister about it! (Latin pun, hee hee) I won't give the equation here, but there is a way of computing the area of a triangle from the coordinates of its three corners, and the FUN thing about this equation is the SIGN of the area tells you whether you went around the triangle in a clockwise or counterclockwise direction.

Ah, you sigh. So that's what the Do! ctor is ranting about today. Directions. Clockwise and counterclockwise. Right and Left.

Yes. We could always quote St. Matthew about right and left - you know, the Last Judgement, the sheep and the goats - but you may also recall this famous snippet of dialog from Chesterton:
"First of all, what is it really all about? What is it you object to? You want to abolish government?"

"To abolish God!" said Gregory, opening the eyes of a fanatic. "We do not only want to upset a few despotisms and police regulations; that sort of anarchism does exist, but it is a mere branch of the Nonconformists. We dig deeper and we blow you higher. We wish to deny all those arbitrary distinctions of vice and virtue, honour and treachery, upon which mere rebels base themselves. The silly sentimentalists of the French Revolution talked of the Rights of Man! We hate Rights as we hate Wrongs. We have abolished Right and Wrong."
"And Right and Left," said Syme w! ith a simple eagerness, "I hope you will abolish them too. The! y are mu ch more troublesome to me."
[GKC The Man Who Was Thursday CW6:490]
Yes, and the funny thing is that right and wrong - I mean right and left really are a matter of life and death, not simply at the end of time, but even in our daily lives. You may wonder (if you know any Latin at all) why there is a sugar called DEXTROSE and another called LEVULOSE. (The Latin dexter means "right" and laevus means "left".) And the secret of all this was discovered only 26 years before GKC was born.

I am sure you know the name Louis Pasteur. The first of his astounding discoveries was made in 1848 when he was studying certain organic salts called the tartrates. (An aside: if you are a baker (like me) you may have something called "Cream of Tartar" in your pantry - it is NOT the same as the "Tartar sauce" used on fish, but a fine white powder. The tartrates are compounds of tartaric acid, a weak acid found in certain fruits. It is used with ba! king soda as a leavening agent.) Anyway, Pasteur established that a given tartrate came in TWO DIFFERENT FORMS. They are made up of the exact same elements, in exactly the same proportions, and many of their properties are identical.

BUT NOT ALL OF THEM ARE IDENTICAL.

Specifically, the property which Pasteur studied was NOT identical: the rotation of polarized light: one form went right, another form went left, and there was one which didn't have any effect.

That is because they are related as your right hand is related to your left hand: they are MIRROR IMAGES of each other. They are "chiral" (from the Greek word for "hand") because they have "handedness". (The one which had no effect was an equal mixture of the right and left forms.)

As it turns out, just about ALL the compounds found in living things are chiral. Most importantly, the various amino acids which build proteins, and the various sugars which form the most useful! of our body's energy sources.

You may be wondering! what al l this has to do with my moaning and berating and all that. It's simply my attempt to point out how even the deep and hidden truths of our real world bolster the greater, deeper and even more hidden truths about God and our relation to Him. It's not enough for us to sit and listen to lectures, or sit and read bloggs, even this one. Here is Chesterton's own admonition about it:
I do not know Mr. Eustace Miles personally, but I must confess that I like him: he seems to me to be sincere, and much simpler as well as much saner than many of his followers. But he is chiefly in danger rather from his leaders than his followers. He allows himself to be lectured by a lot of Pundits who suppose they have a true explanation of life when they have only got a false simplification of it. I remember a man of this sort who told me he was on a spiritual plane ("we are on different planes") on which yes and no, black and white, right and wrong, right and left, were all equal. I reg! arded him as I should any boastful aviator who told me that from the height to which he had risen all London looked like an exact chess-board, with all the squares and streets the same size. In short, I regarded him as a liar. London streets are not equally long, seen from a flying-ship or from anywhere else. And human sins or sorrows are not equally serious, seen in a vision or anywhere else.
[GKC Aug 15 1914 CW30:145]
Indeed. Don't be caught by a false simplification. At the end of time, we're going to see that right and left really are different - and a number of other things, too. As GKC said about male and female, what God has put asunder, let no man join. [see "Two Stubborn Pieces of Iron" in The Common Man]

fact triangles

Simplifying Polynomial Expression

Algebra Scholars,

Chapter 10 brings us Polynomials. A skill that must be fine tuned is simplifying expressions. Please note the first picture on the left. This is what simplifying polynomial expressions looks like.

The second picture shows the extended distributive property. Remember, it is just like the regular distributive property, except, distribute all terms to all terms in both sums.

Good luck!


expression simplifying calculator

Video: BBC Weatherman Caught Giving The Middle Finger On Live TV

A funny end of the day post via HotAir headlines:

double middle finger text

Grade 7 Math Curriculum

7th Grade Annual Curriculum Plan with Activities



Day of Instruction Performance Indicator Description Technology Oriented Activity
1 7.N.1 Distinguish between the various subsets of real numbers (counting/natural numbers, whole numbers, integers, rational numbers, and irrational numbers) Comparing Numbers
http://321know.com/g7_41gx1.htm
2 http://www.emsc.nysed.gov/ciai/mst/math/standards/images/Image86.gif
7.N.2
Recognize the difference between rational and irrational numbers (e.g., explore different approximations of) Number Practice Game
http://www.softschools.com/quiz_time/math/arithmetic/theme2.html
3 7.N.3 Place rational and irrational numbers (approximations) on a number line and justify the placement of the Placing numbers on a  number line
http://www.mathsframe.co.uk/placenumbers.swf
4 7.N.17 Classify irrational numbers as non-repeating/non-terminating decimals Irrational numbers
http://en.wikipedia.org/wiki/Irrational_number
5 7.S.1  Identify and collect data using a variety of methods Qualitative data collection
http://people.uwec.edu/piercech/ResearchMethods/Data%20collection%20methods/DATA%20COLLECTION%20METHODS.htm
6 7.S.1  Identify and collect data using a variety of methods Primary data collection methods
http://brent.tvu.ac.uk/dissguide/hm1u3/hm1u3text3.htm
7 7.S.1  Identify and collect data using a variety of methods
8 7.S.4 Calculate the range for a given set of data Statistical Range for a set
http://321know.com/g7_518x3.htm
9 7.S.5 Select the appropriate measure of central tendency Basic statistical mean
http://321know.com/sta418x5.htm
10 7.N.13 Add and subtract two integers (with and without the use of a number line) Integer lesson
http://www.mathgoodies.com/lessons/vol5/intro_integers.html
11 7.N.13 Add and subtract two integers (with and without the use of a number line) Integers Quiz
http://www.softschools.com/quiz_time/math/arithmetic/theme2.html
12 7.N.13 Add and subtract two integers (with and without the use of a number line) Subtracting Number ball game
http://www.sheppardsoftware.com/mathgames/Numberballs_subtraction/numberballsSubtraction.htm
13 7.N.12 Add, subtract, multiply, and divide integers Adding integers
http://www.mathgoodies.com/lessons/vol5/addition.html
14 7.N.12 Add, subtract, multiply, and divide integers Subtracting integers
http://www.mathgoodies.com/lessons/vol5/subtraction.html
15 7.N.12 Add, subtract, multiply, and divide integers Multiplying integers
http://321know.com/g7_310mx.htm
16 7.N.12 Add, subtract, multiply, and divide integers Dividing integers
http://321know.com/g7_55_di.htm
17 7.N.12 Add, subtract, multiply, and divide integers Math Mah Jong game
http://www.sheppardsoftware.com/mathgames/mahjongMath.html
18 TEST
19 7.N.8 Find the common factors and greatest common factor of two or more numbers Factorize game
http://www.shodor.org/interactivate/activities/FactorizeTwo/
20 7.N.9 Determine multiples and least common multiple of two or more numbers Least common multiple calculator
http://wims.unice.fr/wims/wims.cgi?module=tool/popup.en&search=lcm
21 7.N.10 Determine the prime factorization of a given number and write in exponential form Factorization in exponential form
http://www.eduplace.com/math/mathsteps/5/b/index.html
22 7.N.11 Simplify expressions using order of operations (Note: Expressions may include absolute value and/or integral exponents greater than 0.) Order of Operations game
http://www.shodor.org/interactivate/activities/OrderOfOperationsFou/
Calculating using order of operations
http://321know.com/pro73cx0.htm
23 7.N.14 Develop a conceptual understanding of negative and zero exponents with a base of ten and relate to fractions and decimals (e.g., 10-2 = .01 = 1/100) Evaluating exponents of negaive numbers
http://321know.com/exp-int-eval-exp.htm
24 7.A.2 Add and subtract monomials with exponents of one Evaluating exponents
http://321know.com/exp-eval-exp.htm
25 7.A.2 Add and subtract monomials with exponents of one Arithemetic Four game
http://www.shodor.org/interactivate/activities/ArithmeticFour/
26 7.A.2 Add and subtract monomials with exponents of one Math game
http://www.sheppardsoftware.com/mathgames/arithmetic/arithmetic.htm
27 7.N.4 Develop the laws of exponents for multiplication and division Exponent Quiz Game
http://www.softschools.com/quiz_time/math/exponents/theme6.html
28 7.N.4 Develop the laws of exponents for multiplication and division Multiplication game
http://www.softschools.com/quiz_time/math/properties/theme50.html
29 7.N.4 Develop the laws of exponents for multiplication and division
30 7.N.15 Recognize and state the value of the square root of a perfect square (up to 225) Square root video
http://www.mathplayground.com/mv_square_root.html
31 7.N.16 Determine the square root of non-perfect squares using a calculator Square root game
http://www.softschools.com/math/games/squareroot_practice.jsp
32 7.N.18 Identify the two consecutive whole numbers between which the square root of a non-perfect square whole number less than 225 lies (with and without the use of a number line)
33 7.N.5 Write numbers in scientific notation Scientific notation calculator
http://www.calculatorsoup.com/calculators/math/scientificnotation.php
34 7.N.6 Translate numbers from scientific notation into standard form Converting from scientific notation
http://321know.com/nam-g6_71gx1.htm
35 7.N.7 Compare numbers written in scientific notation Converting to scientific notation
http://321know.com/nam-g6_71fx1.htm
36 7.A.1 Translate two-step verbal expressions into algebraic expressions  Algebra Quiz
http://www.softschools.com/math/games/algebra_practice.jsp
37 7.A.1 Translate two-step verbal expressions into algebraic expressions  Two variable expressions
http://321know.com/equ723x3.htm
38 7.A.1 Translate two-step verbal expressions into algebraic expressions  Algebra Number Ball Game
http://www.sheppardsoftware.com/mathgames/Numberballs_algebra_I/numberballsAlgebraI.htm
39 7.A.1 Translate two-step verbal expressions into algebraic expressions 
40 TEST
41 7.A.3 Identify a polynomial as an algebraic expression containing one or more terms Algebra II ball game
http://www.sheppardsoftware.com/mathgames/Numberballs_algebra_II/numberballsAlgebraII.htm
42 7.A.3 Identify a polynomial as an algebraic expression containing one or more terms
43 7.A.4 Solve multi-step equations by combining like terms, using the distributive property, or moving variables to one side of the equation Make 24 game
http://www.sheppardsoftware.com/mathgames/make24/make24.htm
44 7.A.4 Solve multi-step equations by combining like terms, using the distributive property, or moving variables to one side of the equation Expressions with two variables
http://321know.com/equ723x3.htm
45 7.A.4 Solve multi-step equations by combining like terms, using the distributive property, or moving variables to one side of the equation
46 7.A.4 Solve multi-step equations by combining like terms, using the distributive property, or moving variables to one side of the equation
47 7.A.4 Solve multi-step equations by combining like terms, using the distributive property, or moving variables to one side of the equation
48 7.A.7 Draw the graphic representation of a pattern from an equation or from a table of data Pattern game
http://www.shodor.org/interactivate/activities/PatternGenerator/
49 7.A.7 Draw the graphic representation of a pattern from an equation or from a table of data Pascals triangle game
http://www.shodor.org/interactivate/activities/ColoringMultiples/
50 7.A.7 Draw the graphic representation of a pattern from an equation or from a table of data
51 7.A.7 Draw the graphic representation of a pattern from an equation or from a table of data
52 7.S.6 Read and interpret data represented graphically (pictograph, bar graph, histogram, line graph, double line/bar graphs or circle graph) Graphing activity
http://www.shodor.org/interactivate/activities/Sequencer/
53 7.S.6 Read and interpret data represented graphically (pictograph, bar graph, histogram, line graph, double line/bar graphs or circle graph) Bar Graph tool
http://www.shodor.org/interactivate/activities/BarGraph/
54 TEST
55 7.A.8 Create algebraic patterns using charts/tables, graphs, equations, and expressions
56 7.A.8 Create algebraic patterns using charts/tables, graphs, equations, and expressions
57 7.A.8 Create algebraic patterns using charts/tables, graphs, equations, and expressions
58 7.A.8 Create algebraic patterns using charts/tables, graphs, equations, and expressions
59 7.A.10 Write an equation to represent a function from a table of values Two variable function pump game
http://www.shodor.org/interactivate/activities/TwoVariableFunction/
60 7.A.10 Write an equation to represent a function from a table of values Data flyer game
http://www.shodor.org/interactivate/activities/DataFlyer/
61 7.A.10 Write an equation to represent a function from a table of values
62 7.G.10 Graph the solution set of an inequality (positive coefficients only) on a number line (See 7.A.5) Solving Inequality video
http://www.mathplayground.com/howto_InequalitiesA.html
63 7.G.10 Graph the solution set of an inequality (positive coefficients only) on a number line (See 7.A.5)
64 7.G.10 Graph the solution set of an inequality (positive coefficients only) on a number line (See 7.A.5)
65 7.M.4 Draw central angles in a given circle using a protractor (circle graphs) Circle crossword puzzle
http://www.mathgoodies.com/puzzles/crosswords/icircle2.html
66 7.M.4 Draw central angles in a given circle using a protractor (circle graphs) Protractor video
http://www.mathplayground.com/mv_using_protractor.html
67 7.M.4 Draw central angles in a given circle using a protractor (circle graphs) Circle graph tool
http://www.shodor.org/interactivate/activities/CircleGraph/
68 7.A.5 Solve one-step inequalities (positive coefficients only) (See 7.G.10) Soving inequalities
http://321know.com/equ725x7.htm
69 7.A.5 Solve one-step inequalities (positive coefficients only) (See 7.G.10)
70 7.A.5 TEST
71 7.G.10 Graph the solution set of an inequality (positive coefficients only) on a number line (See 7.A.5) Graphing linear inequalities
http://www.purplemath.com/modules/syslneq.htm
72 7.G.10 Graph the solution set of an inequality (positive coefficients only) on a number line (See 7.A.5)
73 7.G.10 Graph the solution set of an inequality (positive coefficients only) on a number line (See 7.A.5)
74 7.S.2  Display data in a circle graph Interactive circle word search
http://www.mathgoodies.com/puzzles/wordsearch/icircle_ws.html
75 7.S.2  Display data in a circle graph Circumference video
http://www.mathplayground.com/mv_circumference.html
76 7.S.2  Display data in a circle graph Circle graph tool
http://www.shodor.org/interactivate/activities/CircleGraph/
77 7.S.3 Convert raw data into double bar graphs and double line graphs Bar Graph tool
http://www.shodor.org/interactivate/activities/BarGraph/
78 7.S.3 Convert raw data into double bar graphs and double line graphs Multi bar graph tool
http://www.shodor.org/interactivate/activities/MultiBarGraph/
79 7.S.3 Convert raw data into double bar graphs and double line graphs
80 7.G.1 Calculate the radius or diameter, given the circumference or area of a circle Area of Circle video
http://www.mathplayground.com/mv_area_circles.html
81 7.G.1 Calculate the radius or diameter, given the circumference or area of a circle Circumference of a circle
http://321know.com/g7_612x7.htm
82 TEST
83 7.G.2 Calculate the volume of prisms and cylinders, using a given formula and a calculator Volume of prism video
http://www.mathplayground.com/mv_volume_prisms.html
84 7.G.2 Calculate the volume of prisms and cylinders, using a given formula and a calculator Polygon Video
http://www.thefutureschannel.com/dockets/hands-on_math/inventing_with_polygons/index.php
85 7.G.2 Calculate the volume of prisms and cylinders, using a given formula and a calculator Volume of a cylinder
http://321know.com/exp79_x5.htm
86 7.G.2 Calculate the volume of prisms and cylinders, using a given formula and a calculator Volume rectangular prism
http://321know.com/g79_vox6.htm
87 7.M.2 Convert capacities and volumes within a given system Volume triangular prism
http://321know.com/g79_vox1.htm
88 7.M.2 Convert capacities and volumes within a given system Volume sphere
http://321know.com/g79_vox7.htm
89 7.M.2 Convert capacities and volumes within a given system Volume pyramid
http://321know.com/g79_vox5.htm
90 7.G.3 Identify the two-dimensional shapes that make up the faces and bases of three-dimensional shapes (prisms, cylinders, cones, and pyramids) Interactive crossword puzzle - easy
http://www.mathgoodies.com/puzzles/crosswords/icircle1.html
91 7.G.3 Identify the two-dimensional shapes that make up the faces and bases of three-dimensional shapes (prisms, cylinders, cones, and pyramids) Shape inlay game
http://www.mathplayground.com/shape_inlay.html
92 7.G.3 Identify the two-dimensional shapes that make up the faces and bases of three-dimensional shapes (prisms, cylinders, cones, and pyramids) Volume of cones
http://www.mathplayground.com/mv_volume_cones.html
93 7.G.3 Identify the two-dimensional shapes that make up the faces and bases of three-dimensional shapes (prisms, cylinders, cones, and pyramids) Shape Explorer game
http://www.shodor.org/interactivate/activities/ShapeExplorer/
94 7.A.6 Evaluate formulas for given input values (surface area, rate, and density problems) Surface area of a cube
http://321know.com/exp79_x2.htm#section2
95 7.A.6 Evaluate formulas for given input values (surface area, rate, and density problems) Density solver
http://www.sartep.com/chem/chartsandtools/densitysolver.cfm
96 7.A.6 Evaluate formulas for given input values (surface area, rate, and density problems) Surface are of a prism
http://321know.com/g79_sux3.htm
97 7.G.4 Determine the surface area of prisms and cylinders, using a calculator and a variety of methods surface area of cylinder
http://321know.com/g79_sux2.htm
98 7.G.4 Determine the surface area of prisms and cylinders, using a calculator and a variety of methods Surface Area game
http://www.shodor.org/interactivate/activities/SurfaceAreaAndVolume/
99 7.G.4 Determine the surface area of prisms and cylinders, using a calculator and a variety of methods Surface area calulator - online
http://www.csgnetwork.com/surfareacalc.html
100 7.G.4 Determine the surface area of prisms and cylinders, using a calculator and a variety of methods
101 7.M.11 Estimate surface area Estimator quiz
http://www.shodor.org/interactivate/activities/EstimatorQuiz/
102

MORE GEOMETRY



These are some of the additional Geometry books and resources that did not make it in my previous Geometry post. Some books at the advanced section here are meant for independent learners. I am sure there are more math literature available beyond what I have listed here. Geometry was initially done playfully in our home, by deriving proofs and formulae, playing with puzzles such as Tangrams, building and constructing structu! res; using Zome, reading and discussing a lot of history behind geometry, math and art, etc. Later my kids moved onto some more formal Geometry learning through programs like AOPS, Aleks etc. We bought our kids a good Drafting/Geometry kit when they expressed interest in doing hands on proof based geometry learning. We also invested on the Zome tools advanced math kit. Zome has gotten a lot of use in our home by both our kids even though we bought the kit way before their recommended ages. I hope some of these resources are useful to you.
  • Geometry and literature

    !
  • Ages 3-8
Cubes, Cones, Cylinders, & Spheres by Tana Hoban

Shapes, Shapes, Shapes by Tana Hoban


So Many Circles, So Many Squares by Tana Hoban


The Secret Birthday Me! ssage by Eric Carle

Capacity by Henry Arthur Pluckrose

Mouse Shapes by Ellen Stoll Walsh

Greedy Triangle

Circus Shapes (MathStart 1) by Stuart J. Murphy

A Cloak Fo! r The Dreamer (Brainy Day Books) by Aileen Friedman

Pattern (Math Counts)

What Shape Is It? (Looking at Nature) by Bobbie Kalman

Pigs on the Ball : Fun With Math and Sports by Amy Axelrod

I Spy Shapes in Art by Lucy Micklethwait

Shapes in Buildings (Spot the Shape) by Rebecca Rissman

The Dot and the Line: A Romance in Lower Mathematics by Norton Juster

Grandfather Tang's Story by Ann Tompert

1 2 3 Shapes : Beginning Shape Activities for Young Children by Gayle Bittinger

The Shapes We Eat by S! imone T. Ribke

A Star in My Orange: Looking for Nature's Shapes by Dana Meachen Rau

A Triangle for Adaora by Ifeoma Onyefulu

Captain Invincible and the Space Shapes by Stuart J. Murphy

Spaghetti And Meatballs For All! ! by Marilyn Burns

Exploring Shapes by Andrew King

Shape Up! by David A. Adler and Nancy Tobin

Shapes and Solids by Lakshmi Hewavisenti

The Missing Piece by Shel Silverstein

A Light in the Attic by Shel Silverstein

Paper John by David Small

Zachary Zormer: Shape Transformer

When a Line Bends . . . A Shape ! Begins ! by Rhonda

Tangram Magician
A Square? a Rectangle! by Holly Karapetkova

! The Warlord's Puzzle by Virginia Walton Pilegard

The Librarian Who Measured the Earth

Three Pigs, One Wolf, Seven Magic Shapes Sir Cumference and the Isle of Immeter by Cindy Neuschwander

Sir Cumference and the Dragon of Pi Area by Jane Jonas Srivastava

Shapes by Sara Pistoia

Pyramid by David Macaulay

Shapes in Nature by Judy Feldman

Flatland

Lines and shapes : a first look at geometry by Solveig Paulson Russell

Circles by Mindel Sitomer

Spirals, by Mindel. Sitomer

What Is Symmetry? by Mindel Sitomer

Angles Are Easy As Pie by Robert Froman

Round Is a Pancake by Joan Sullivan Baranski

Up, Down, and Around by Katherine Ayres

3d, 2d, 1d. by David A. Adler

Star Boy by Paul Goble

Look Again! by Hoban

Take Another Look by Tana Hoban

Look Book by Tana Hoban

The Quilt ! by An! n Jonas< /span>

Mouse Views: What the Class Pet Saw by Bruce McMillan

If You Look around You by Fulvio Testa

Counting on Frank by Rod Clement

  • 3 D shapes
What in the World Is a Cube? (3-D Shapes) by Anders Hanson

What in the World Is a Prism? (3-D Shapes) by Anders Hanson

What in the World Is a Cone? (3-D Shapes) by Anders Hanson

What in the World Is a Sphere? (3-D Shapes) by Anders Hanson

  • A+ Books
Pyramids (A+ Books) by Olson

Cubes (A+ Books) by Olson


Spheres (A+ Books)

Cylinders (A+ Books) by Olson

Round and Square by Miriam Schlein

  • Spot the Shape Series
Shapes in the Garden by Rebecca Rissman

Shapes in Music by Rebecca Rissman

Shapes in Buildings by Rebecca Rissman

Shapes in Sports by Rebecca Rissman

Shapes in Art by Rebecca Rissman

  • Ages 9-12
The Great Polygon Caper (Adventures in Mathopolis) by Karen Ferrell

Ollie's Geometry Adventure by Tina Mulvihill

Figuring Out Geometry by Rebecca Wingard-Nelson

Measuring the Earth: Eratosthenes and His Celestial Geometry by Mary Gow

Geometry by Lucille Caron

Circumference: Eratosthenes and the Ancient Quest to Measure the Globe by Nicholas

The Standard Deviants - Angles Untangled (Learn Basic Geometry) [Includes Video] by Standard Deviants

Math in the Real World of Architecture: Dimensions, Quantities, Shapes, and Patterns by Shirley Cook

The Art of Construction: Projects and Principles for Beginning Engineers & Architects by Mario Salvadori

Straight Lines, Parallel Lines, Perpendicular Lines by Mannis Charosh

Rubber Bands, Basebal! ls and D oughnuts; A Book About Topology: A Book About Topology by Robert Froman and Harvey Weiss

Chasing Vermeer by Blue Balliett

A Wrinkle in Time by Madeleine L'Engle (associated website and webpage)

The Chronicles of Narnia by C. S. Lewis (associated site for Geometry)

!
The Hands-On Marvelous Ball Book by Bradford Hansen-Smith

How To Make Super Pop-Ups by Joan Irvine

Weslandia by Paul Fleischman (associated website)

Wright 3 by Blue Balliett Calder Game by Blue Balliett

! Do the Math: Secrets, Lies, and Algebra by Wendy Lichtman

The Warlord's Puzzle by Virginia Walton Pilegard and Nicolas Debon

Cat's Cradle, Owl's Eyes: A Book of String Games by Camilla Gryski and Tom Sankey

What's Your Angle, Pythagoras? A Math Adventure

Sir Cumference and the Great Knight of Angleland by Cindy Neuschwander

Mummy Math: An Adventure in Geometry by Cindy Neuschwander

Exploring Triangles: Paper-Folding Geometry by Jo McKeeby Phillips

Right Angles: Paper-Folding Geometry by Jo McKeeby Phillips

C! ircles and Curves, by Arthur G. Razzell

Symmetry by Arthur G Razzell

String, Straight-edge & Shadow the Story of Geometry by Julia Diggins

Directions and Angles (The "Reason why" books) by Irving Adler

Holes by Louis Sachar

Round Table Geometry: 30 Activities to Connect Math & Literature by Elena Dworkin

Triangles

Shapes

Area and Volume

Angles

Circles

Quadrilaterals

Shape Patterns

Euclid's Elements by T.L. Heath Translation( free here)

The Geometry of Rene Descartes

The Works of Archimedes by Archimedes


Life of Fred Geometry


The Pythagorean Theorem: A 4,000-Year History

The Thirteen Books of Euclid's Elements The Pattern Book: Fractals, Art, and Nature by Clifford A. Pickover

King of Infinite Space: Donald Coxeter, the Man Who Saved Geometry by Siobhan

String, Straight-edge & Shadow the Story of Geometry by Julia E. Diggins

Sticks, Stones, & Shadows: Building the Egyptian Pyramids by Martin Isler

Inv! itation to Geometry by Z. A. Melzak

Shapes, Space, and Symmetry

Circles: A Mathematical View

Why ! Beauty Is Truth: A History of Symmetry

The Beauty of Geometry: Twelve Essays
On Beyond Euclid by Ben Jacobs

Journey into Geometries Squaring the Circle: Geometry in Art and Architecture by Paul

A Long Way from Euclid by Constance Reid

Flatterland: Like Flatland, Only More So by Ian Stewart

Exploring Geometry With the Geomater's Sketchpad (Book/CDROM) by Dan Bennett

Spaceland: A Novel of the Fourth Dimension Sacred Geometry (Wooden Books) by Miranda Lundy

Symmetry: The Ordering Principle (Wooden Books)

Euclidean and Non-Euclidean Geometries: Development and History by Marvin

The Planiverse: Computer Contact with a Two-Dimensional World by A.K. Dewdney

Geometry: The Language of Space and Form (History of Mathematics) by John Tabak

Platonic & Archimedean Solids (Wooden Books) by Daud Sutton

Murderous Maths: Vicious Circles and other Savage Shapes


Polysymetrics by June Oliver

Polysymetrics: The Art of Making Geometric Patterns by June Oliver

Introduction to Geometry by Art of Problem Solving

The