
area.xls
 Perimeter of rectangles, parallelograms, triangles, trapezoids, circles.
 Area of rectangles, parallelograms, triangles, trapezoids, circles, and figures with mixed areas.
 Volume of prisms, pyramids, cylinders, cones
compute.xls
 Designed with a game and puzzle and testwriting teacher in mind. This is what I, Agnes
Azzolino, use to
generate problems, and
complete computation for answer keys and games and puzzles.
 Contains pieces of other spreadsheets.
 Includes, arithmetic, prealgebra, algebra, some geometry, trig and triangles, statistics.
cramers.xls
 Properties of determinants.
 EVALUATE A DETERMINANT.
2 by2 determinant  graphic and hot determinant
3 by 3 determinant by augmented columns  graphic and hot determinant
3 by 3 or higher determinant evaluated by minors  graphic
 Solve Linear System in Two Unknowns by Cramer's Rule.
 Solve Linear System in Three Unknowns by Cramer's Rule.
 Compute each of the 6 possible ways of computing the 3x3 determinant by minors.
curve.xlsGiven a set of test scores:
 Sorts scores.
 Computes mean.
 Computes standard deviation.
 Computes curved cut off scores.
 Compute zscores.
exp.xls
 Compute yearly, semiyearly, quarterly, monthly, daily, and every minute given initial principal, rate, and time.
 Solve for P, P_{0}, r, t, but not n, for instantaneous and noninstantaneous interest.
 Graph two exponential curves w/user entry of parameters.
gradet.xls (grade test)
 Input number correct , total number, and grade range and the % and letter grades are stated.
 Using mean and standard deviation, curve a set of tests.
 Enter 3 raw 2nd quarter grades, the 1st quarter grade, and the midterm and get the 1st semester grade.
graph.xls
 Provides the user with a table of 10, 20, or 30 cells and a graphed function.
 The user must edit the function then paste it to the other ycells to draw a new graph.
heron.htm
pica.xls
 Convert inches, picas, points, and millimeters for use in printing and page layout and design.
maytrix.xls
 Add 1x3, 2x3, 2x2, 3x3, or up to 5x5 arrays using matrix rules. Subtract up to 5x5.
 Multiply a 1x3 times a 3x1, a 2x3 times a 3x1, a 2x2 times a 2x2, a 3x3 times a 3x3, and conformable m by n times a n by p
 Multiply a 1x3 by a 3x2, a 2x3 by a 3x2, and a 2x3 by a 3x3 with colorcoding to show the origin of each factor.
 Compute inverse of 2x2 or 3x3. Contains notes & worksheet.
 Answer key to worksheet and notes on computation of 3 by 3 inverse.
 UNDER CONSTRUCTION 3x3 inverse derivation
 Row transformation to find inverse
 Solve system by inverse, 2x2, 3x3
 Matrix vs. Cramer's Rule to Solve a 3x3
 UNDER CONSTRUCTION Solve system, GaussJordan elimination
 User & Spread sheet jointly use row transformation to find inverse
linear.xls
 Graphs line given m, b, starting x, increment in x.
 Does the above and also graphs a line given 2 points & computes the slope and yintercept given the 2 points.
poly.xls
 Graph a polynomial defined by degrees and coefficients.
y= a_{n}x^{n} + a_{n 1}x^{n 1} + a_{n  2}x^{n 2} + a_{n  3}x^{n 3} + a_{n  4}x^{n  4} + a_{n  5}x^{n  5} + a_{n6}x^{n  6} + a_{n 7}x^{n 7}
 Graph a polynomial displayed in factored form.
y = A(x  b)^{B}(x  c)^{C}(x  d)^{D}
 Synthetically divide and then view the quotient polynomial and remainder.
Divide (a_{n}x^{n} + a_{n 1}x^{n 1} + a_{n  2}x^{n 2} + a_{n  3}x^{n 3} + a_{n  4}x^{n  4} + a_{n  5}x^{n  5} + a_{n6}x^{n  6} + a_{n 7}x^{n 7}) ÷ (xc)
 Solves linear or quadratic equations. Multiplies 2 binomials or 3 binomials.
prime.xls
 The prime factorization of whole numbers from 2 to 122 in two displays.
 Whole numbers from 1 to 1000 with primes highlighted.
This page is arrange to show that:
ALL PRIMES, OTHER THAN 2 AND 3, MUST BE ONE MORE OR ONE LESS THAN A MULTIPLE OF 6.
 Whole numbers from 1 to 1002 with primes highlighted.
 The times tables up through 50 x 30
pyth3.xls Examine Pythagorean Triangles  triangles with "nice" sides, generated because:
If p > q,
then p and q may be used to generate the right triangle with
leg a = p^{2}  q^{2},
leg b = 2pq, and hypotenuse c = p^{2} + q^{2}.
 For Heronian triangles see:
Pythagorean Triples graphics
 Heronian Triangles  2 right triangles butted up together and sharing a common side.
for all x, generate triples
for all even x, generate triples Heronian triangles are a pair of right triangles with a "shared side."
ratl.xls
 Graph and table of (Ax^{m})/(Bx^{n})
Watch the power of the top or bottom equal or dominate the other.
Examine hoirzontal asymptotes or infinite increase or decrease.
Think endbehavior and explore.
 Graph and table of rational function, polynomial A(x) divided by B(x).
Examine asymptotes.
Examine the role of factors A(x) and 1/B(x).
 Graph and table of rational functions written as A(x) / B(x) + C(x)
Really play with C(x), the asymptote
 Complete synthetic division and rewrite of quotient and remainder.
sine.xls
 Graphs y=Asin(BxC) +D, where A, B, C, D are input values.
 ScatterPlots y=Atan(BxC)+D, where A, B, C, D are input values.
 Graphs two sine functions where A, B, C, D are input values.
 Graphs one sine function and one cosine function where where A, B, C, D are input values.
solvtrg.xls
 Solve a right triangle.
 Solve a 454590 triangle.
Input leg a. Seek a leg and hypotenuse.
Input side c. Seek two legs.
 Solve a 306090 triangle.
Input leg a. Seek a leg and hypotenuse.
Input leg b. Seek a leg and hypotenuse.
Input side c. Seek the hypotenuse.
 Use Pythagorean Theorem and arithmetic and basic trig.
Input leg a and leg b. Seek the hypotenuse and the angles.
Input hypotenuse c and leg a. Seek a leg and the angles.
Input angle A and side a. Seek a leg, side, and hypotenuse.
 Solve any triangle.
Use the Sine Law, if a side and the opposite angle are given.
Input angles A , B, side a. Seek two sides and an angle.
Input angle A , side a, side b. Seek two angles and a side.
 Use the Law of Cosines.
Input sides a, b, c. Seek each angle.
Input angle A , sides b,c. Seek no solution, 1 solution, or 2 solutions.
stat.xls Compute.
 mean and (by spread sheet and table) the standard deviation.
 zscore and stanine.
 area under standard normal and normal curves above or below a zscore or xscore or
within an interval.
 the xscore or zscore given a probability.
vector.xls Compute.
 resultant given 2 vectors automatically and manipulatively.
 polar coordinates given rectangular coordinates.
 rectangular coordinates given polar coordinates.
 ALSO SEE polrect.xls, a Digital Manipulative
Digital Manipulatives
Digital manipulatives are now available as movable
graphics (digital tokens) on a spreadsheet. They are ideal for the teacher to use as a model even without
the student using them as manipulatives. They are useful for writing tests (including graphics), and for
students to complete projects or labs.
Save and edit a copy for yourself (for notforprofit purposes), but keep the
original copy right, author and source page on the table of contents where you also might add note.
Learn how to
insert a picture in a spread sheet
or
use or write a DIGITAL MANIPULATIVE spread sheet or just use these.
 "Hundreds Board for Web and Classroom Projection"  both the traditional board and the integer board are available.

100s.xls  Hundreds Board

abacus.xls  Chinese, Japanese, Roman, etc.

areaf.xls  Area formulas for a rectangle, parallelogram, triangle, trapezoid, circle.

coins.xls  Heads and tails of penny, nickel, dime, quarter, half and silver dollars, imprinted with cent value or plain.

bases.xls  cubes for the 0, 1st, 2nd, 3rd powers of 2, 3, 4, 5, and 10 and coins (0, 1st, 2nd, powers of 5 and base 10).

fract.xls  Movable fraction bars from 1/1 to 1/15 on multiple sheets.

deck.xls  A deck of cards.

dice.xls  A single die, or pair of dice, sample space and "rollable."

hands.xls  shekels, tokens, in one or two hands.

hyro.xls  contains glyphs, cartuches, a column, and pre made phrases with which to create "hyroglyphic" messages.

jig1.xls  UNIT CIRCLE JIG SAW PUZZLE

napierb.xls  Napier's Bones for multiplication, division, square roots, with instructions.

nomogrf.xls  Nomograph for whole, signed, fraction, decimal computation.

polrect.xls  Vector addition with moveable vectors and with spread sheet computations.

sinelaw.xls  sine law digital manipulative

slide.xls  slide rules for decimal and fraction addition and subtraction and for log computation (unfinished).

strips.xls  Multiple strips & fraction bars.

42.xls  Game for 2 Players, uses mental computation and words like multiple, reciprocal, cube, double, prime, ...

sumelse.xls  Sum Thing Else Game, keep a match and go again. The most matches wins the game.
 Term Tiles & Tokens

create.xls  for students, though it includes no active hot cells and only some of the "manipulative graphics."

hot.xls  for students, and includes active hot cells of tiles.xls and only some of the "manipulative graphics."

tiles.xls  for the parent, teacher, professional educator contains ALL "manipulative graphics" and active hot cells.

trans.xls  contains symbols of phonetic transcriptions and index of sounds.

signalf.xls  signal flags and Morse Code
