Chapter Book Chips--"Chains: Seeds of America"

Title: Chains: Seeds of America

Author: Laurie Halse Anderson

Call number: J Anderson

Best for ages 10 and up

Isabel, an 11-year-old slave, has no family other than her little sister. It’s New York in the spring of 1776, and Isabel desperately wants her freedom. She just might get it if she acts as a spy for the rebels (those Americans who want their freedom from English rule). Whom can she trust? Will she win her freedom before her new master’s wife (a Loyalist) sells them off? Read all about it in this compelling, heart-wrenching, fast-paced, and well-researched book. Chains: Seeds of America is a winner of the Scott O’Dell Award for Historical Fiction and is also an Oregon Reader's Choice Award (ORCA) 2011 nominee.

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31st International Mathematical Olympiad 1990 Problems & Solutions

A1.  Chords AB and CD of a circle intersect at a point E inside the circle. Let M be an interior point of the segment EB. The tangent at E to the circle through D, E and M intersects the lines BC and AC at F and G respectively. Find EF/EG in terms of t = AM/AB. A2.  Take n ≥ 3 and consider a set E of 2n-1 distinct points on a circle. Suppose that exactly k of these points are

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30th International Mathematical Olympiad 1989 Problems & Solutions

A1.  Prove that the set {1, 2, ... , 1989} can be expressed as the disjoint union of subsets A1, A2, ... , A117 in such a way that each Ai contains 17 elements and the sum of the elements in each Ai is the same. A2.  In an acute-angled triangle ABC, the internal bisector of angle A meets the circumcircle again at A1. Points B1 and C1 are defined similarly. Let A0 be the point of

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29th International Mathematical Olympiad 1988 Problems & Solutions

A1.  Consider two coplanar circles of radii R > r with the same center. Let P be a fixed point on the smaller circle and B a variable point on the larger circle. The line BP meets the larger circle again at C. The perpendicular to BP at P meets the smaller circle again at A (if it is tangent to the circle at P, then A = P). (i)  Find the set of values of AB2 + BC2 + CA2. (ii)  Find the

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28th International Mathematical Olympiad 1987 Problems & Solutions

A1.  Let pn(k) be the number of permutations of the set {1, 2, 3, ... , n} which have exactly k fixed points. Prove that the sum from k = 0 to n of (k pn(k) ) is n!. [A permutation f of a set S is a one-to-one mapping of S onto itself. An element i of S is called a fixed point if f(i) = i.] A2.  In an acute-angled triangle ABC the interior bisector of angle A meets BC at L

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27th International Mathematical Olympiad 1986 Problems & Solutions

A1.  Let d be any positive integer not equal to 2, 5 or 13. Show that one can find distinct a, b in the set {2, 5, 13, d} such that ab - 1 is not a perfect square. A2.  Given a point P0 in the plane of the triangle A1A2A3. Define As = As-3 for all s >= 4. Construct a set of points P1, P2, P3, ... such that Pk+1 is the image of Pk under a rotation center Ak+1 through an angle

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26th International Mathematical Olympiad 1985 Problems & Solutions

A1.  A circle has center on the side AB of the cyclic quadrilateral ABCD. The other three sides are tangent to the circle. Prove that AD + BC = AB. A2.  Let n and k be relatively prime positive integers with k < n. Each number in the set M = {1, 2, 3, ... , n-1} is colored either blue or white. For each i in M, both i and n-i have the same color. For each i in M not equal to

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25th International Mathematical Olympiad 1984 Problems & Solutions

A1.  Prove that 0 ≤ yz + zx + xy - 2xyz ≤ 7/27, where x, y and z are non-negative real numbers satisfying x + y + z = 1. A2.  Find one pair of positive integers a, b such that ab(a+b) is not divisible by 7, but (a+b)7 - a7 - b7 is divisible by 77. A3.  Given points O and A in the plane. Every point in the plane is colored with one of a finite number of colors.

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24th International Mathematical Olympiad 1983 Problems & Solutions

A1.  Find all functions f defined on the set of positive reals which take positive real values and satisfy:   f(x(f(y)) = yf(x) for all x, y; and f(x) → 0 as x → ∞. A2.  Let A be one of the two distinct points of intersection of two unequal coplanar circles C1 and C2 with centers O1 and O2 respectively. One of the common tangents to the circles touches C1 at P1 and C2 at P2,

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23rd International Mathematical Olympiad 1982 Problems & Solutions

A1.  The function f(n) is defined on the positive integers and takes non-negative integer values. f(2) = 0, f(3) > 0, f(9999) = 3333 and for all m, n:       f(m+n) - f(m) - f(n) = 0 or 1. Determine f(1982). A2.  A non-isosceles triangle A1A2A3 has sides a1, a2, a3 with ai opposite Ai. Mi is the midpoint of side ai and Ti is the point where the incircle touches side ai. Denote

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22nd International Mathematical Olympiad 1981 Problems & Solutions

A1.  P is a point inside the triangle ABC. D, E, F are the feet of the perpendiculars from P to the lines BC, CA, AB respectively. Find all P which minimise:         BC/PD + CA/PE + AB/PF. A2.  Take r such that 1 ≤ r ≤ n, and consider all subsets of r elements of the set {1, 2, ... , n}. Each subset has a smallest element. Let F(n,r) be the arithmetic mean of these smallest

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How To Raise a Dinosaur

How To Raise a Dinosaur

by Natasha Wing (2010)

There are lots of different kinds of pets you could get: dogs, cats, gerbils and even lizards. But why not get a dinosaur? First you need to figure out what size of dinosaur you want, and what size a space you have to put him in. You need to know how many times to walk and feed him a day. You need to pick up after him, if you know what I mean. You'll need lots of toys for him, too. Most importantly, you need to love him.

The tips in this book are useful no matter what kind of pet you decide upon. The pages add a lot of interest with unusually sized and shaped pages, and lift-the-flaps. The graphics are colorful and vibrant, and sure to catch your child's attention. This book is perfect for dinosaur lovers, or pet lovers in general! -sc-

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21st International Mathematical Olympiad 1979 Problems & Solutions

A1.  Let m and n be positive integers such that:       m/n = 1 - 1/2 + 1/3 - 1/4 + ... - 1/1318 + 1/1319. Prove that m is divisible by 1979. A2.  A prism with pentagons A1A2A3A4A5 and B1B2B3B4B5 as the top and bottom faces is given. Each side of the two pentagons and each of the 25 segments AiBj is colored red or green. Every triangle whose vertices are vertices of the prism

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20th International Mathematical Olympiad 1978 Problems & Solutions

A1.  m and n are positive integers with m < n. The last three decimal digits of 1978m are the same as the last three decimal digits of 1978n. Find m and n such that m + n has the least possible value. A2.  P is a point inside a sphere. Three mutually perpendicular rays from P intersect the sphere at points U, V and W. Q denotes the vertex diagonally opposite P in the

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Number Games: Addition & Decimals

NumberKnowing simple sums and learning useful calculations can help you with everyday tasks.Addition Decimals

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19th International Mathematical Olympiad 1977 Problems & Solutions

A1.  Construct equilateral triangles ABK, BCL, CDM, DAN on the inside of the square ABCD. Show that the midpoints of KL, LM, MN, NK and the midpoints of AK, BK, BL, CL, CM, DM, DN, AN form a regular dodecahedron. A2.  In a finite sequence of real numbers the sum of any seven successive terms is negative, and the sum of any eleven successive terms is positive. Determine the

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18th International Mathematical Olympiad 1976 Problems & Solutions

A1.  A plane convex quadrilateral has area 32, and the sum of two opposite sides and a diagonal is 16. Determine all possible lengths for the other diagonal. A2.  Let P1(x) = x2 - 2, and Pi+1 = P1(Pi(x)) for i = 1, 2, 3, ... . Show that the roots of Pn(x) = x are real and distinct for all n. A3.  A rectangular box can be completely filled with unit cubes. If one

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17th International Mathematical Olympiad 1975 Problems & Solutions

A1.  Let x1 ≥ x2 ≥ ... ≥ xn, and y1 ≥ y2 ≥ ... ≥ yn be real numbers. Prove that if zi is any permutation of the yi, then:       ∑1≤i≤n (xi - yi)2 ≤ ∑1≤i≤n (xi - zi)2. A2.  Let a1 < a2 < a3 < ... be positive integers. Prove that for every i ≥ 1, there are infinitely many an that can be written in the form an = rai + saj, with r, s positive integers and j > i. A3. 

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16th International Mathematical Olympiad 1974 Problems & Solutions

A1.  Three players play the following game. There are three cards each with a different positive integer. In each round the cards are randomly dealt to the players and each receives the number of counters on his card. After two or more rounds, one player has received 20, another 10 and the third 9 counters. In the last round the player with 10 received the largest number of counters. Who

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15th International Mathematical Olympiad 1973 Problems & Solutions

A1.  OP1, OP2, ... , OP2n+1 are unit vectors in a plane. P1, P2, ... , P2n+1 all lie on the same side of a line through O. Prove that |OP1 + ... + OP2n+1| ≥ 1. A2.  Can we find a finite set of non-coplanar points, such that given any two points, A and B, there are two others, C and D, with the lines AB and CD parallel and distinct? A3.  a and b are real numbers

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14th International Mathematical Olympiad 1972 Problems & Solutions

A1.  Given any set of ten distinct numbers in the range 10, 11, ... , 99, prove that we can always find two disjoint subsets with the same sum. A2.  Given n > 4, prove that every cyclic quadrilateral can be dissected into n cyclic quadrilaterals. A3.  Prove that (2m)!(2n)! is a multiple of m!n!(m+n)! for any non-negative integers m and n. B1. 

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13th International Mathematical Olympiad 1971 Problems & Solutions

A1.  Let En = (a1 - a2)(a1 - a3) ... (a1 - an) + (a2 - a1)(a2 - a3) ... (a2 - an) + ... + (an - a1)(an - a2) ... (an - an-1). Let Sn be the proposition that En ≥ 0 for all real ai. Prove that Sn is true for n = 3 and 5, but for no other n > 2. A2.  Let P1 be a convex polyhedron with vertices A1, A2, ... , A9. Let Pi be the polyhedron obtained from P1 by a translation that moves

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Chapter Book Chips - "Dear Hound" by Jill Murphy

Dear Hound by Jill Murphy
Did you know that deerhounds have at least nine different ear styles? And that they love cheese more than anything else in the world? And they are serious couch potatoes? "Dear Hound" is a story about Alfie, a deerhound puppy, who has to spend the weekend with dog-sitter Jenny. But Alfie is not happy at having to leave his boy, Charlie, and the comforts of home. When Alfie accidently tangles with an electric fence while staying with Jenny, he makes a break for it and then gets lost in the nearby woods. Terrified, he finds two foxes, Sunset and Fixit, who take him in and help him survive in the wild. They also teach him how to raid the dumpsters at a restaurant at the edge of the woods. Meanwhile, Charlie and his mom and Jenny keep searching for Alfie. Alfie comes close to being reunited with Charlie but something always goes wrong. And his troubles multiply when he is captured by two hunters who want to use him for hunting rabbits. Will Alfie ever make it home? Find out by reading "Dear Hound", an entertaining adventure for third and fourth grade dog lovers. And for more information on these gentle dogs, visit the American Kennel Club's website. -gw-

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Favorite Baby Parenting Books

These are my favorite parenting books but I also include some books other parent friends swore by, even if I didn’t agree with the advice.The Baby Book: Everything You Need to Know About Your Baby from Birth to Age 2 (Revised and Updated Edition) by Sears and Sears.  This is my go-to guru.  But that is because I am a “family bed” proponent which is not for everyone.  He writes this with his

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12th International Mathematical Olympiad 1970 Problems & Solutions

A1.  M is any point on the side AB of the triangle ABC. r, r1, r2 are the radii of the circles inscribed in ABC, AMC, BMC. q is the radius of the circle on the opposite side of AB to C, touching the three sides of AB and the extensions of CA and CB. Similarly, q1 and q2. Prove that r1r2q = rq1q2. A2.  We have 0 ≤ xi < b for i = 0, 1, ... , n and xn > 0, xn-1 > 0. If a > b, and

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11th International Mathematical Olympiad 1969 Problems & Solutions

A1.  Prove that there are infinitely many positive integers m, such that n4 + m is not prime for any positive integer n. A2.  Let f(x) = cos(a1 + x) + 1/2 cos(a2 + x) + 1/4 cos(a3 + x) + ... + 1/2n-1 cos(an + x), where ai are real constants and x is a real variable. If f(x1) = f(x2) = 0, prove that x1 - x2 is a multiple of π. A3.  For each of k = 1, 2, 3, 4, 5 find

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10th International Mathematical Olympiad 1968 Problems & Solutions

A1.  Find all triangles whose side lengths are consecutive integers, and one of whose angles is twice another. A2.  Find all natural numbers n the product of whose decimal digits is n2 - 10n - 22. A3.  a, b, c are real with a non-zero. x1, x2, ... , xn satisfy the n equations:         axi2 + bxi + c = xi+1, for 1 ≤ i < n         axn2 + bxn + c = x1 Prove that

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y3 flash

Y3 flash

Ultimate Flash Sonic

Infomation: A flash clone of the highly popular Sonic game.

This game is a large file and will take a long while to load (1.44 Megabytes))

How to play: Arrow Keys to move.Spacebar to jumpHold down and hold spacebar to charge up, then release spacebar spin attack

Tags: 1 Player, Action, Arcade, Arcade, Flash, Platforms

http://www.y3.vc/

Totem Destroyer

Infomation: Your mission is to destroy the totems without letting the golden Idol (aka Tot) fall into the ground. Use balance to keep Tot up. A cool physics based puzzle game!

How to play: Use mouse to interact.Q- to quit to main menu.

Tags: 1 Player, Balancing, Bomb, Flash, Fun, Puzzle

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Megaman X Virus Mission

Infomation: A fighting game with RPG style turns.

How to play: Use Mouse to interact.

Tags: 1 Player, Action, Arcade, Fighting, Flash, Robots, Role Playing, Turn Based

http://www.y3.vc/

 

Conquer Antartica

Infomation: Beat the other group of penguins using your cannon! Play against computer opponent or play head to head with your friend in two player mode!

How to play: Use mouse to interact

Tags: 1 Player, 2 Players, Action, Flash, Turn Based

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2112 Cooperation - Chapter 5

Infomation: Here comes chapter 5 of the 3D action shooter game series '2112 Cooperation'.

How to play: 1 Player:Mouse - Action / Aim / Shoot.2 Player:Enter Key - Action / Aim / Shoot.

Tags: 1 Player, 2 Players, Action, Boy, Flash, Girl, Series, Shoot Em Up, Shooting

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y3 flash

y3 flash

 

Ashtons Family Resort

Infomation: Run your own holiday park and give your visitors a relaxed and well deserved vacation!

How to play: Use mouse to interact.

Tags: 1 Player, Adventure, Flash, House, Mouse Skill, Role Playing, Snow

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Fear Unlimited 2 Issue 1

Infomation: Fight all the dark enemies appearing on the screen as you upgrade your character and shoot and slash

How to play: A = Evasive action.S = Gun action.D = melee action.Left/Right arrows = move.Up/Down arrows = combo triggers.Special movesRising Dragon - Up + D.Serpent Fang - D (airborne).241 - Down + S.Dive roll - Up + A.

Tags: 1 Player, Action, Beat Em Up, Fighting, Flash, Killing, Side Scrolling, Violence

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Stick Strike

Infomation: Sticks has gone bad with this counetrstrike game. Go on different missions, select maps and game types, and the number of friendlies and enemies you decide! Good luck!

How to play: WASD - Movement.R - Reload.Spacebar - Throw grenade.F - Drop mine.1,2,3,4,5,6 - Cycle weapons.Mouse - Aim and fire.E - Open door.

Tags: 1 Player, Action, Flash, Guns, Mouse Skill, Search and Destroy, Shoot Em Up, Shooting, Stick, Terrorist, War

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Oriental Flirting Game

Infomation: Keep clicking on the heart above the progress bar to fill the bar faster than your opponent. Click on every boy on your way to make him fall in love with you faster than with your competitor!

How to play: Use mouse to interact.

Tags: 1 Player, Action, Boy, Collecting Games, Flash, Girl, Love, Seduction, Series

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Etherena Beta

Infomation: Addictive action-packed fighting game for 1-2 players. Many cool attacks and secrets to unlock

How to play: Instructions and Controls are in game

Tags: 1 Player, 2 Players, Action, Fighting, Flash

http://www.y3.vc/

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9th International Mathematical Olympiad 1967 Problems & Solutions

A1.  The parallelogram ABCD has AB = a, AD = 1, angle BAD = A, and the triangle ABD has all angles acute. Prove that circles radius 1 and center A, B, C, D cover the parallelogram iff             a ≤ cos A + √3 sin A. A2.  Prove that a tetrahedron with just one edge length greater than 1 has volume at most 1/8. A3.  Let k, m, n be natural numbers such that m + k

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8th International Mathematical Olympiad 1966 Problems & Solutions

A1.  Problems A, B and C were posed in a mathematical contest. 25 competitors solved at least one of the three. Amongst those who did not solve A, twice as many solved B as C. The number solving only A was one more than the number solving A and at least one other. The number solving just A equalled the number solving just B plus the number solving just C. How many solved just B?

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7th International Mathematical Olympiad 1965 Problems & Solutions

A1.  Find all x in the interval [0, 2p] which satisfy:         2 cos x = |v(1 + sin 2x) - v(1 - sin 2x)| = v2. A2.  The coefficients aij of the following equations         a11x1 + a12 x2+ a13 x3 = 0        a21x1 + a22x2 + a23x3 = 0        a31x1 + a32x2 + a33x3 = 0 satisfy the following: (a) a11, a22, a33 are positive, (b) other aij are negative, (c) the sum of the coefficients

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6th International Mathematical Olympiad 1964 Problems & Solutions

A1. (a)  Find all natural numbers n for which 7 divides 2n - 1.(b)  Prove that there is no natural number n for which 7 divides 2n + 1. A2.  Suppose that a, b, c are the sides of a triangle. Prove that:     a2(b + c - a) + b2(c + a - b) + c2(a + b - c) ≤ 3abc. A3.  Triangle ABC has sides a, b, c. Tangents to the inscribed circle are constructed parallel to the

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5th International Mathematical Olympiad 1963 Problems & Solutions

A1.  For which real values of p does the equation         √(x2 - p) + 2 √(x2 - 1) = x have real roots? What are the roots? A2.  Given a point A and a segment BC, determine the locus of all points P in space for which ∠APX = 90o for some X on the segment BC. A3.  An n-gon has all angles equal and the lengths of consecutive sides satisfy a1 ≥ a2 ≥ ... ≥ an. Prove

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4th International Mathematical Olympiad 1962 Problems & Solutions

A1.  Find the smallest natural number with 6 as the last digit, such that if the final 6 is moved to the front of the number it is multiplied by 4. A2.  Find all real x satisfying: √(3 - x) - √(x + 1) > 1/2. A3.  The cube ABCDA'B'C'D' has upper face ABCD and lower face A'B'C'D' with A directly above A' and so on. The point x moves at constant speed along the

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3rd International Mathematical Olympiad 1961 Problems & Solutions

A1.  Solve the following equations for x, y and z:        x + y + z = a;     x2 + y2 + z2 = b2;     xy = z2. What conditions must a and b satisfy for x, y and z to be distinct positive numbers? A2.  Let a, b, c be the sides of a triangle and A its area. Prove that:        a2 + b2 + c2 ≥ 4√3 AWhen do we have equality? A3.  Solve the equation cosnx - sinnx = 1,

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2nd International Mathematical Olympiad 1960 Problems & Solutions

A1.  Determine all 3 digit numbers N which are divisible by 11 and where N/11 is equal to the sum of the squares of the digits of N. A2.  For what real values of x does the following inequality hold:        4x2/(1 - √(1 + 2x))2  <  2x + 9 ? A3.  In a given right triangle ABC, the hypoteneuse BC, length a, is divided into n equal parts with n an odd integer. The

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1st International Mathematical Olympiad 1959 Problems & Solutions

A1.  Prove that (21n+4)/(14n+3) is irreducible for every natural number n. A2.  For what real values of x is √(x + √(2x-1)) + √(x - √(2x-1)) = A given (a) A = √2, (b) A = 1, (c) A = 2, where only non-negative real numbers are allowed in square roots and the root always denotes the non-negative root? A3.  Let a, b, c be real numbers. Given the equation for cos x:

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3rd Chinese Mathematical Olympiad 1988 Problems & Solutions

A1.  a1, ... , an are reals, not all 0, such that there exist bi so that ∑1n bi(xi - ai) ≤ √(∑1n xi2) - √(∑1n ai2) for all real xi. Find the bi (in terms of the ai). A2.  ABCD is a cyclic quadrilateral. Its circumcircle has center O and radius R. The rays AB, BC, CD, DA meet the circle center O radius 2R at A', B', C', D' respectively. Show that A'B' + B'C' + C'D' + D'A' ≥ 2(

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2nd Chinese Mathematical Olympiad 1987 Problems & Solutions

A1.  n is a positive integer. Show that zn+1 - zn - 1 = 0 has a root on the unit circle |z| = 1 iff n is congruent to 4 mod 6. A2.  An equilateral triangle side n is divided into n2 equilateral triangles of side 1 by lines parallel to its sides. The n(n+1)/2 vertices of the triangles are each labeled with a real number, so that if ABC and BCD are small triangles then the sum

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1st Chinese Mathematical Olympiad 1986 Problems & Solutions

A1.  a1, a2, ... , an are reals. Show that if the sum of any two is non-negative, then for any non-negative real x1, x2, ... , xn with sum 1, we have a1x1 + a2x2 + ... + anxn ≥ a1x12 + a2x22 + ... + anxn2. Show that the converse is also true. A2.  ABC is a triangle. The altitude from A has length 12, the angle bisector from A has length 13. What is are the possible lengths for

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8th Australian Mathematical Olympiad Problems 1987

A1.  ABC is an isosceles triangle with AB = AC. M is the midpoint of AC. D is a point on the arc BC of the circumcircle of BMC not containing M, and the ray BD meets the ray AC at E so that DE = MC. Show that MD2 = AC·CE and CE2 = BC·MD/2. A2.  Show that (2p)!/(p! p!) - 2 is a multiple of p if p is prime. A3.  A graph has 20 points and there is an edge between

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7th Australian Mathematical Olympiad Problems 1986

A1.  Given a positive integer n and real k > 0, what is the largest possible value for (x1x2 + x2x3 + x3x4 + ... + xn-1xn), where xi are non-negative real numbers with sum k? A2.  What is the smallest tower of 100s that exceeds a tower of 100 threes? In other words, let a1 = 3, a2 = 33, and an+1 = 3an. Similarly, b1 = 100, b2 = 100100 etc. What is the smallest n for which bn >

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6th Australian Mathematical Olympiad Problems 1985

A1.  Find the sum of the first n terms of 0, 1, 1, 2, 2, 3, 3, 4, 4, ... (each positive integer occurs twice). Show that the sum of the first m + n terms is mn larger than the sum of the first m - n terms. A2.  Show that any real values satisfying x + y + z = 5, xy + yz + zx = 3 lie between -1 and 13/3. A3.  A graph has 9 points and 36 edges. Each edge is

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5th Australian Mathematical Olympiad Problems 1984

A1.  Show that there are no integers m, n such that 3 n4 - m4 = 131. A2.  ABC is equilateral. P and Q are points on BC such that BP = PQ = QC = BC/3. K is the semicircle on BC as diameter on the opposite side to A. The rays AP and AQ meet K at X and Y. Show that the arcs BX, XY and YX are all equal. A3.  The quartic x4 + (2a+1) x3 + (a-1)2x2 + bx + 4 factorises

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4th Australian Mathematical Olympiad Problems 1983

A1.  Consider the following sequence: 1/1, 2/1, 1/2, 3/1, 2/2, 1/3, 4/1, 3/2, 2/3, 1/4, 5/1, ... , where we list all m/n with m+n = k in order of decreasing m, and then all m/n with m+n = k+1 etc. Each rational appears many times. Find the first five positions of 1/2. What is the position for the nth occurrence of 1/2? Find an expression for the first occurrence of p/q where p < q and p and

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X - Math terms glossary

x-axis  The horizontal number line in a coordinate graph. The line in the coordinate plane or in space, usually horizontal, containing those points whose second coordinates (and third, in space) are 0. x-coordinate  The first coordinate of an ordered pair or an ordered triple. Ex: in the coordinate pair (3,-8), the three is

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Y - Math terms glossary

y-axis The vertical number line in a coordinate graph. The line in the coordinate plane, usually vertical, or in space, containing those points whose first coordinates (and third, in space) are 0. y-coordinate   The second coordinate of an ordered pair or ordered triple. Ex: in the coordinate pair (3,-2), the

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Z - Math terms glossary

z-axis The line in a three-dimensional coordinate system containing those points whose first and second coordinates are 0. zero angle An angle whose measure is zero.

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V - Math terms glossary

value of a numerical expression  The number that is the result of evaluating a numerical expression. Ex: the value of 2+3X4 is 14. Remember, the order of operations says that multiplication must be done first when evaluating this.value of an algebraic expression The number that is the result of evaluating an

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W - Math terms glossary

walk The composite of a reflection and a translation parallel to the reflecting line, also known as a glide reflection. whole number Any of the numbers 0, 1, 2, 3, ... . width (of a rectangle) A dimensional of a rectangle or rectangular solid taken at right angles to the length.window That part of the plane that shows on the

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Posted in: Math terms glossary

T - Math terms glossary

table  An arrangement of data in rows and columns. Take-away Model for Subtraction If a quantity y is taken away from an original quantity x with the same units, the quantity left is x - y. tangent A line, ray, segment, or plane which intersects a curve or curved surface in exactly one point. tangent

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Posted in: Math terms glossary

U - Math terms glossary

undefined terms A term used without a specific mathematical definition. uniform scale   A scale in which numbers that are equally spaced differ by the same amount. When creating a number line or coordinate grid system, you use a uniform scale. Ex: union of two sets The set of elements which are in at

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Posted in: Math terms glossary

S - Math terms glossary

scale factor of size transformation In similar figures, the ratio of a distance or length in an image to the corresponding distance or length in a preimage. Also called ratio of similitude. Ex: When comparing the following small right triangle to its similar large right triangle, we see a scale factor of 1/2 or 0.5.scalene

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Posted in: Math terms glossary

R - Math terms glossary

radius of a circle or sphere A segment connecting the center of a circle or a sphere with a point on that circle or sphere, also, the length of that segment. Plural is radii. rate  A quantity whose unit contains the word " per " or  " for each " or some synonym.Ex: miles per hour, beats per minute, candy bars for each childrate

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Posted in: Math terms glossary

P - Math terms glossary

palindrome A number or word that reads the same way from right to left as it does left to right. EX: BOB121A MAN A PLAN A CANAL PANAMAABLE WAS I ERE I SAW ELBA parabola The conic section formed by a plane parallel to an edge of the conical surface. paragraph proof A form of written proof in which conclusions and

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Posted in: Math terms glossary

Q - Math terms glossary

quadrant  One of the four parts into which the coordinate plane is divided by the x-axis and y-axis. Quadrants are labeled with Roman Numerals as shown below. quadrilateral A four-sided polygon. Examples: quadrillion  A word name for 1,000,000,000,000,000 or . quadrillionth  A word name for

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Posted in: Math terms glossary

N - Math terms glossary

natural number Any one of the numbers 1, 2, 3, ... . Also called positive integer. These are sometimes called "counting numbers". n-fold rotation symmetry A figure has n-fold rotation symmetry, where n is a positive integer, when a rotation of magnitude 360/n maps the figure onto itself, and no larger value of n has this property.

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Posted in: Math terms glossary

O - Math terms glossary

oblique cone A cone whose axis is not perpendicular to its base. oblique figure A 3-dimensional figure in which the plane of the base(s) is not perpendicular to its axis or to the planes of its lateral surfaces. oblique line A line that is neither horizontal nor vertical. obtuse angle   An

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Posted in: Math terms glossary

magnitude of rotation In a rotation, the amount that the preimage is turned about the center of rotation, measured in degrees from -180 (clockwise) to 180 (counterclockwise), +/- m

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Posted in: Math terms glossary

L - Math terms glossary

lattice point A point in the coordinate plane or in space with integer coordinates. legs of a right triangle Either side of a right triangle that is on the right angle. Segments are the legs of this right triangle. leg adjacent to an angle The side of the right triangle which

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Posted in: Math terms glossary

K - Math terms glossary

key in   To press keys or enter information into a calculator. key sequence A set of instructions for what to key in on a calculator. When writing out a key sequence, operations and symbols like parentheses are typically drawn in rectangles indicating what hey to press.EX: One key sequence for the expression would be *Remember

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Posted in: Math terms glossary

J - Math terms glossary

justification A definition, postulate, or theorem which enables a conclusion to be drawn. Ex: In the proof below, the justifications are in red.

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Posted in: Math terms glossary

I - Math terms glossary

icosahedron A polyhedron with twenty faces. identity transformation A transformation that maps each point onto itself.if and only if statement A statement consisting of a conditional and its converse. Also called biconditional.EX:A quadrilateral is a square if and only if it is a rhombus and a rectangle.NOTE: The if and only

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Posted in: Math terms glossary

H - Math terms glossary

half turn A turn of 180°. height In a triangle or trapezoid, the segment from a vertex perpendicular to the line containing the opposite side; also, the length of that segment. In a prism or cylinder, the distance between the bases. In a pyramid or cone, the length of a segment from the vertex perpendicular to the plane of the base. Also

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Posted in: Math terms glossary

G - Math terms glossary

gallon (gal) A unit of capacity in the U.S. system of measurement equal to 4 quarts. generalization   A statement that is true about many instances.glide reflection The composite of a reflection and a translation parallel to the reflecting line, also known as a walk.gores Tapered sections of a net for a spherical object. grade

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Posted in: Math terms glossary

F - Math terms glossary

face of polyhedron Any of the polygonal regions that form the surface of a polyhedron. factor A number that divides another number exactly. Also called divisor.figure A set of points.finite decimal  A decimal that ends. Also called terminating decimals.flip A transformation in which each point is mapped onto its

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Posted in: Math terms glossary

E - Math terms glossary

edge Any side of a polyhedron's faces. elevations Two-dimensional views of three-dimensional figures given from the top, front, or sides. Elevations usually include measurements and a scale.empty set A set containing no elements. Also know as the null set. Symbols used to denote this set are, . endpoint A point at the end

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Posted in: Math terms glossary

D - Math terms glossary

decagon A ten-sided polygon. decimal notation  The notation in which numbers are written using ten digits and each place stands for a power of ten.Ex: 34 means 3 tens and 4 ones.decimal system  The system in which numbers are written in decimal notation.deduction The process of making justified conclusions.definition

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Posted in: Math terms glossary

C - Math terms glossary

capacity The number of unit cubes or parts of unit cubes that can be fit into a solid. Also called volume. cartesian plane Name given to the plane containing points identified as ordered pairs of real numbers. Also called coordinate plane. center of a circle The given point from which the set of points of the

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Posted in: Math terms glossary

B - Math terms glossary

bar graph A graph in which information is represented using bars of various lengths to show values of a particular category. base  Given , or x^n, the "x" is the base. The base number gets multiplied by itself the number of times indicated by the exponent, "n". Ex:2^3 = 2x2x2.base of a triangle  The side

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Posted in: Math terms glossary

A - Math terms glossary

absolute value  The absolute value of a number is the distance that number is from zero. The absolute value of a positive number or zero is that number.  The absolute value of a negative number is the opposite of that number, and the absolute value of zero is zero which is neither positive or negative.Ex:|3| = 3, and |-3| = 3, |0| = 0 .

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Posted in: Math terms glossary

3rd Australian Mathematical Olympiad Problems 1982

A1.  If you toss a fair coin n+1 times and I toss it n times, what is the probability that you get more heads? A2.  Show that the fractional part of (2 + √3)n tends to 1. A3.  In the triangle ABC, let the angle bisectors of A, B, C meet the circumcircle again at X, Y, Z. Show that AX + BY + CZ is greater than the perimeter of ABC. B1.  For what d

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Posted in: AMO

2nd Australian Mathematical Olympiad Problems 1981

A1.  Show that in any set of 27 distinct odd positive numbers less than 100 we can always find two with sum 102. How many sets of 26 odd positive numbers less 100 than can we find with no two having sum 102? A2.  Given a real number 0 < k < 1, define p(x) = (x - k)(x - k2) ... (x - kn)/( (x + k)(x + k2) ... (x + kn) ). Show that if kn+1 ≤ x < 1, then p(x) < p(1).

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Posted in: AMO

1st Australian Mathematical Olympiad Problems 1979

1.  A graph with 10 points and 35 edges is constructed as follows. Every vertex of one pentagon is joined to every edge of another pentagon. Each edge is colored black or white, so that there are no monochrome triangles. Show that all 10 edges of the two pentagons have the same color. 2.  Two circles (not necessarily equal) intersect at A and B. A point P travels clockwise

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Posted in: AMO

How to do long division with 4 digits?

How to do long division with 4 digits? Dividing a 4-digit by 2-digit numbersHow to divide a four digit number by a two digit number (e.g. 4138 ÷ 17): Place the divisor before the division bracket and place the dividend (4138) under it.       17)4138Examine the first digit of the dividend(4). It is smaller than 17 so can't be divided by 17 to produce a whole number. Next take the first two

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Math Books for Children

Preschool Childrens Math BooksFirst Picture Math. I love sitting down with my girls to read a good book! One of my favorite childrens math books is the First Picture Book by Jo Litchfield! This darling board book is not only sturdy and durable for babies and toddlers, but can also serve as a young child’s math reference book.I personally love this book for the way the clay people make the

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Best educational iPad apps for kids

The Apple iPad is a great device for adults but kids can also get a lot of use from this handy gadget. Many educational games that are found online can also be found as a downloadable app for the iPad. Not only will kids have fun playing these iPad games but they will gain information and maybe learn something new.  Word MagicThe Word Magic app is geared towards young readers learning to

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Can You Have Fun With Math Board Games?

Teaching mathematics is probably one of the most difficult tasks a teacher can do because almost all kids have phobia in numbers. But with different strategies and methods of teaching, math can be enjoyable!One way to teach math and to have fun with numbers is through math board games. Studies have shown that when a child is exposed to numbers, they may be intimidated at first but once

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Long division worksheets - math division

This section is a brief overview of math division. It covers the concept of sharing in equal amounts, the basic division operation and long division. The sections most relevant to you will depend on your child’s level. Use the information and resources to help review and practice what your child’s teacher will have covered in the

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Posted in: Long Division

How teachers can accommodate the dyslexic student?

How can teachers adapt their teaching methods to accommodate the dyslexic? "There are many strategies a teacher can implement in the classroom to help a Dyslexic student do well and understand the different skill sets such as spelling, reading, writing, arithmetic and understanding time. Most of these suggestions are beneficial for any student but especially important for Dyslexics."* If one

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How much does planet Earth weigh?

It would be more proper to ask, "What is the mass of planet Earth?"1 The quick answer to that is: approximately 6,000,000,000,000 ,000,000,000,000 (6E+24) kilograms.The interesting sub-question is, "How did anyone figure that out?" It's not like the planet steps onto the scale each morning before it takes a shower. The measurement of the planet's weight is derived from the gravitational

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Teaching steps for long division with large numbers

Division as repeated subtraction - introduction to long divisionMultiplication is repeated addition.  Division is the opposite of multiplication.  You can think of division as repeated subtraction. Example.  Bag 771 apples so there are 3 apples in one bag.  How many bags are needed?You can start by putting 3 apples to one bag, which leaves you 768 apples. Then for each bag you subtract 3 apples

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Posted in: Long Division

Teaching Math to the Talented

Which countries—and states—are producing high-achieving students?By Eric Hanushek, Paul E. Peterson and Ludger WoessmannIn Vancouver last winter, the United States proved its competitive spirit by winning more medals—gold, silver, and bronze—at the Winter Olympic Games than any other country, although the German member of our research team insists on pointing out that Canada and Germany both

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Mental Subtraction Worksheets

Mentally Subtracting Two-Digit NumbersHow to mentally subtract two two-digit numbers. Subtract 35 from 84.First subtract the two tens' place digits (8 - 3 = 5)Notice that the bottom ones' digit is larger than the top ones' digit. Decrease the answer for the tens' place by one (5 - 1 = 4) and increase the top ones' place value by 10 (4 + 10 = 14). Next subtract the two ones' place values (14 -

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Mentally Adding Two-Digit Numbers

How to mentally add two two-digit numbers. Add 84 and 35.First add the two ones' place digits (4 + 5 = 9).Next add the two tens' place digits (8 + 3 = 11).The sum of the ones' place digits is less than ten so the answer is 119 Add 94 and 67.First add the two ones' place digits (4 + 7 = 11).Next add the two tens' place digits (9 + 6 = 15).The sum of the ones' place digits is a two-digit number so

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6th All Soviet Union Mathematical Olympiad 1972 Problems & Solutions

1.  ABCD is a rectangle. M is the midpoint of AD and N is the midpoint of BC. P is a point on the ray CD on the opposite side of D to C. The ray PM intersects AC at Q. Show that MN bisects the angle PNQ. 2.  Given 50 segments on a line show that you can always find either 8 segments which are disjoint or 8 segments with a common point. 3.  Find the largest integer

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Posted in: All Soviet Union Mathematical Olympiad Problems,ASU

5th All Soviet Union Mathematical Olympiad 1971 Problems & Solutions

1.  Prove that we can find a number divisible by 2n whose decimal representation uses only the digits 1 and 2. 2.  (1) A1A2A3 is a triangle. Points B1, B2, B3 are chosen on A1A2, A2A3, A3A1 respectively and points D1, D2 D3 on A3A1, A1A2, A2A3 respectively, so that if parallelograms AiBiCiDi are formed, then the lines AiCi

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Posted in: All Soviet Union Mathematical Olympiad Problems,ASU

4th All Soviet Union Mathematical Olympiad 1970 Problems & Solutions

1.  Given a circle, diameter AB and a point C on AB, show how to construct two points X and Y on the circle such that (1) Y is the reflection of X in the line AB, (2) YC is perpendicular to XA. 2.  The product of three positive numbers is 1, their sum is greater than the sum of their inverses. Prove that just one of the numbers is greater than 1. 3.  What

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Posted in: All Soviet Union Mathematical Olympiad Problems,ASU

3rd All Soviet Union Mathematical Olympiad 1969 Problems & Solutions

1.  In the quadrilateral ABCD, BC is parallel to AD. The point E lies on the segment AD and the perimeters of ABE, BCE and CDE are equal. Prove that BC = AD/2. 2.  A wolf is in the center of a square field and there is a dog at each corner. The wolf can run anywhere in the field, but the dogs can only run along the sides. The dogs' speed is 3/2 times the wolf's

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Posted in: All Soviet Union Mathematical Olympiad Problems,ASU

2nd All Soviet Union Mathematical Olympiad 1968 Problems & Solutions

1.  An octagon has equal angles. The lengths of the sides are all integers. Prove that the opposite sides are equal in pairs. 2.  Which is greater: 3111 or 1714? [No calculators allowed!] 3.  A circle radius 100 is drawn on squared paper with unit squares. It does not touch any of the grid lines or pass through any of the lattice points. What is the maximum number of

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Posted in: All Soviet Union Mathematical Olympiad Problems,ASU

1st All Soviet Union Mathematical Olympiad 1967 Problems & Solutions

1.  In the acute-angled triangle ABC, AH is the longest altitude (H lies on BC), M is the midpoint of AC, and CD is an angle bisector (with D on AB). (a)  If AH ≤ BM, prove that the angle ABC ≤ 60. (b)  If AH = BM = CD, prove that ABC is equilateral. 2. (a)  The digits of a natural number are rearranged and the resultant number is added to the original

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Posted in: All Soviet Union Mathematical Olympiad Problems,ASU

28th All Russian Mathematical Olympiad Problems 2002

1.  Can the cells of a 2002 x 2002 table be filled with the numbers from 1 to 20022 (one per cell) so that for any cell we can find three numbers a, b, c in the same row or column (or the cell itself) with a = bc? 2.  ABC is a triangle. D is a point on the side BC. A is equidistant from the incenter of ABD and the excenter of ABC which lies on the internal angle

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Posted in: Russian Mathematical Olympiad

27th All Russian Mathematical Olympiad Problems 2001

1.  Are there more positive integers under a million for which the nearest square is odd or for which it is even? 2.  A monic quartic and a monic quadratic both have real coefficients. The quartic is negative iff the quadratic is negative and the set of values for which they are negative is an interval of length more than 2. Show that at some point the quartic

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Posted in: Russian Mathematical Olympiad

26th All Russian Mathematical Olympiad Problems 2000

1.  The equations x2 + ax + 1 = 0 and x2 + bx + c = 0 have a common real root, and the equations x2 + x + a = 0 and x2 + cx + b = 0 have a common real root. Find a + b + c. 2.  A chooses a positive integer X ≤ 100. B has to find it. B is allowed to ask 7 questions of the form "What is the greatest common divisor of X + m and n?" for positive integers m,

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Posted in: Russian Mathematical Olympiad

25th All Russian Mathematical Olympiad Problems 1999

1.  The digits of n strictly increase from left to right. Find the sum of the digits of 9n. 2.  Each edge of a finite connected graph is colored with one of N colors in such a way that there is just one edge of each color at each point. One edge of each color but one is deleted. Show that the graph remains connected. 3.  ABC is a triangle. A' is the

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Posted in: Russian Mathematical Olympiad

25th All Soviet Union Mathematical Olympiad Problems 1991

1.  Find all integers a, b, c, d such that ab - 2cd = 3, ac + bd = 1. 2.  n numbers are written on a blackboard. Someone then repeatedly erases two numbers and writes half their arithmetic mean instead, until only a single number remains. If all the original numbers were 1, show that the final number is not less than 1/n. 3.  Four lines in the plane

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Posted in: All Soviet Union Mathematical Olympiad Problems,ASU

Subtracting Fractions with Different Denominators

To Subtract Fractions with different denominators: Find the Lowest Common Denominator (LCD) of the fractionsRename the fractions to have the LCDSubtract the numerators of the fractionsThe difference will be the numerator and the LCD will be the denominator of the answer.Simplify the FractionExample: Find the difference between 3/12 and 2/9. Determine the Greatest Common Factor of 12 and 9 which

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Divide a 4 Digit by a 2 Digit number

DivisionDividing a three digit number by a one digit number (for example 416 ÷ 7) involves several steps. Place the divisor before the division bracket and place the dividend (416) under it.     7)416Examine the first digit of the dividend(4). It is smaller than 7 so can't be divided by 7 to produce a whole number. Next take the first two digits of the dividend (41) and determine how many 7'

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24th All Russian Mathematical Olympiad Problems 1998

1.  a and b are such that there are two arcs of the parabola y = x2 + ax + b lying between the ray y = x, x > 0 and y = 2x, x > 0. Show that the projection of the left-hand arc onto the x-axis is smaller than the projection of the right-hand arc by 1. 2.  A convex polygon is partitioned into parallelograms, show that at least three vertices of the polygon belong to

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24th All Soviet Union Mathematical Olympiad Problems 1990

1.  Show that x4 > x - 1/2 for all real x. 2.  The line joining the midpoints of two opposite sides of a convex quadrilateral makes equal angles with the diagonals. Show that the diagonals are equal. 3.  A graph has 30 points and each point has 6 edges. Find the total number of triples such that each pair of points is joined or each pair of points is

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Posted in: All Soviet Union Mathematical Olympiad Problems,ASU

23rd All Russian Mathematical Olympiad Problems 1997

1.  p(x) is a quadratic polynomial with non-negative coefficients. Show that p(xy)2 ≤ p(x2)p(y2). 2.  A convex polygon is invariant under a 90o rotation. Show that for some R there is a circle radius R contained in the polygon and a circle radius R√2 which contains the polygon. 3.  A rectangular box has integral sides a, b, c, with c odd. Its surface is

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Posted in: Russian Mathematical Olympiad

23rd All Soviet Union Mathematical Olympiad Problems 1989

1.  7 boys each went to a shop 3 times. Each pair met at the shop. Show that 3 must have been in the shop at the same time. 2.  Can 77 blocks each 3 x 3 x 1 be assembled to form a 7 x 9 x 11 block? 3.  The incircle of ABC touches AB at M. N is any point on the segment BC. Show that the incircles of AMN, BMN, ACN have a common tangent. 4.  A positive integer n has

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Posted in: All Soviet Union Mathematical Olympiad Problems,ASU

22nd All Russian Mathematical Olympiad Problems 1996

1.  Can a majority of the numbers from 1 to a million be represented as the sum of a square and a (non-negative) cube? 2.  Non-intersecting circles of equal radius are drawn centered on each vertex of a triangle. From each vertex a tangent is drawn to the other circles which intersects the opposite side of the triangle. The six resulting lines enclose a

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Posted in: Russian Mathematical Olympiad

nghe thuat seo

4 cách nhanh nhất giúp các website mới xuất hiện trên Google!

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Một trong những vấn đề đầu tiên mà ai cũng phải đối mặt khi bắt đầu làm web, blog đó là website/blog của bạn không có ai biết đến, bạn không có một liên kết nào và website/blog của bạn không xuất hiện trên các search engine.
Xin giới thiệu với các bạn một số cách giúp website/blog mới làm của các bạn nhanh chóng xuất hiện trên Google.
 
1) Đăng kí địa chỉ Website của bạn với Google
Đây không phải là cách nhanh nhất để được google index nhưng nó an toàn và chắc chắn. Google không thể index website của bạn nếu nó không biết đến sự tồn tại của website đó.
Tất nhiên Google không đảm bảo rằng nó sẽ index tất cả các URL đã đăng kí nhưng đừng vì thế mà bỏ cuộc. Tuy nhiên bạn cần lưu ý rằng chỉ đăng kí 1 URL mỗi domain thôi nhé (thường là trang chủ) vì nếu không bạn sẽ bị coi là spam. Google’s crawlers sẽ tự động tìm các trang khác trong website của bạn thông qua internal links.
Đây là link để bạn đăng kí website với Google:
www.google.com/addurl
Yahoo cũng có tính năng tương tự:
search.yahoo.com/info/submit.html
Bing cũng vậy:
bing.com/docs/submit.aspx
 
2) Đăng kí XML sitemap
Sẽ mất một thời gian khá lâu để Google có thể index tất cả các trang trong 1 website chỉ bằng cách lần theo các liên kết. Website càng lớn thì thời gian càng lâu. Những trang càng ở sâu thì càng khó được index vì phải sau vài lần mò mẫm thì Google mới có thể index được chúng. Tuy nhiên bạn có thể giải quyết vẫn đề này bằng cách sử dụng XML Sitemap. Nói nôm na là bản đồ website của bạn.
XML sitemap là một file text được lưu dưới định dạng XML. Trong đó nó liệt kê tất cả những URLs có trong website của bạn. Cấu trúc XML sitemap rất đơn giản do đó bạn có thể làm nó bằng tay hoặc tự động bằng công cụ XML sitemap generator. Chuẩn XML sitemap được hỗ trợ bởi Google, Yahoo! và Microsoft Bing do đó một file sitemap có thể dùng cho cả 3 công cụ tìm kiếm trên.
Sau khi đã tạo sitemap cho website, bạn cần đăng kí nó với các công cụ tìm kiếm. Để làm được điều đó với Google, bạn cần đăng kí một tài khoản tại Google Webmaster Tools. Trong Google Webmaster Tools, bạn sẽ thấy rất nhiều thông tin giá trị về website của mình. Vd: thứ hạng, thời gian ghé thăm của google bot…v.v
Tương tự với Yahoo!, bạn có thể đăng kí sitemap của mình thông qua Yahoo! Site Explorer.
Microsoft Bing cũng vậy, bạn có thể vào trang Bing Webmaster để đăng kí sitemap.
 
3) Gửi bài lên các Social Bookmarking:
Điều này đã được thử nghiệm và kết quả cho thấy website của bạn sẽ được index rất nhanh nếu bài viết của bạn được đăng lên các social bookmarking lớn như Digg.com, Mixx.com, Reddit.com. Đặc biệt nếu nó được đưa lên front page thì kết quả còn tuyệt vời hơn nữa. Không những website của bạn được index nhanh chóng mà bạn còn nhận được vô số khách viếng thăm, nhiều đến mức có thể làm sập website của bạn trong thời gian ngắn. Do đó hãy chuẩn bị sẵn sàng.
Tuy nhiên các trang trên lại không chấp nhận các bài viết bằng tiếng Việt nên các bạn cần lưu ý khi gửi bài. Nếu bài viết của các bạn bằng tiếng Việt các bạn có thể gửi lên các trang social bookmarking Việt  Nam như:
- Mottramdo.com
- Linkhay.com
- Tagvn.com
- Vietkicks.com
- ishare.vn
- Buzz.vn
 
4) Các liên kết chất lượng cao:
Một trong những cách để đẩy nhanh tốc độ index trang web của bạn đó là kiếm được càng nhiều liên kết chất lượng cao càng tốt. Nếu bạn quen ai đó đang sở hữu một website hoặc blog nổi tiếng bạn có thể nhờ họ đặt link tới website của bạn. Liên kết đến từ những website có thứ hạng cao sẽ khiến trang web của bạn được  Google để ý nhiều hơn. Do đó hãy xây dựng cho mình một chiến lược kiếm backlinks thật tốt. Ngoài ra hãy dành thời gian viết những bài viết bổ ích, thú vị cho website của bạn vì chỉ có những bài viết chất lượng cao mới thu hút được liên kết từ các website khác cũng như người dùng sẽ có lí do để quay lại lần sau.
Nếu ở Việt Nam, bạn có thể post bài ở một số diễn đàn lớn như DDTH.com, Gamevn.com, Zing.vn…v.v kèm liên kết tới website của bạn ở cuối bài viết. Đảm bảo chỉ sau vài giờ là bài viết đó sẽ xuất hiện trên Google.
Chúc các bạn thành công trong việc đưa website/blog của mình lên Google!
 y3 cooking

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21st All Russian Mathematical Olympiad Problems 1995

1.  A goods train left Moscow at x hrs y mins and arrived in Saratov at y hrs z mins. The journey took z hrs x mins. Find all possible values of x. 2.  The chord CD of a circle center O is perpendicular to the diameter AB. The chord AE goes through the midpoint of the radius OC. Prove that the chord DE goes through the midpoint of the chord BC. 3.  f(x), g(x),

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21st All Soviet Union Mathematical Olympiad Problems 1987

1.  Ten players play in a tournament. Each pair plays one match, which results in a win or loss. If the ith player wins ai matches and loses bi matches, show that ∑ ai2 = ∑ bi2. 2.  Find all sets of 6 weights such that for each of n = 1, 2, 3, ... , 63, there is a subset of weights weighing n. 3.  ABCDEFG is a regular 7-gon. Prove that 1/AB = 1/AC + 1/AD. 4. 

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Posted in: All Soviet Union Mathematical Olympiad Problems,ASU

20th All Soviet Union Mathematical Olympiad Problems 1986

1.  The quadratic x2 + ax + b + 1 has roots which are positive integers. Show that (a2 + b2) is composite. 2.  Two equal squares, one with blue sides and one with red sides, intersect to give an octagon with sides alternately red and blue. Show that the sum of the octagon's red side lengths equals the sum of its blue side lengths. 3.  ABC is acute-angled.

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Posted in: All Soviet Union Mathematical Olympiad Problems,ASU

19th All Soviet Union Mathematical Olympiad Problems 1985

1.  ABC is an acute angled triangle. The midpoints of BC, CA and AB are D, E, F respectively. Perpendiculars are drawn from D to AB and CA, from E to BC and AB, and from F to CA and BC. The perpendiculars form a hexagon. Show that its area is half the area of the triangle. 2.  Is there an integer n such that the sum of the (decimal) digits of n is 1000 and the sum of

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Posted in: All Soviet Union Mathematical Olympiad Problems,ASU

18th All Soviet Union Mathematical Olympiad Problems 1984

1.  Show that we can find n integers whose sum is 0 and whose product is n iff n is divisible by 4. 2.  Show that (a + b)2/2 + (a + b)/4 ≥ a√b + b √a for all positive a and b. 3.  ABC and A'B'C' are equilateral triangles and ABC and A'B'C' have the same sense (both clockwise or both counter-clockwise). Take an arbitrary point O and points P, Q, R so that OP is

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Posted in: All Soviet Union Mathematical Olympiad Problems

17th All Soviet Union Mathematical Olympiad Problems 1983

1.  A 4 x 4 array of unit cells is made up of a grid of total length 40. Can we divide the grid into 8 paths of length 5? Into 5 paths of length 8? 2.  Three positive integers are written on a blackboard. A move consists of replacing one of the numbers by the sum of the other two less one. For example, if the numbers are 3, 4, 5, then one move could lead to 4, 5

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Posted in: All Soviet Union Mathematical Olympiad Problems,ASU

16th All Soviet Union Mathematical Olympiad Problems 1982

1.  The circle C has center O and radius r and contains the points A and B. The circle C' touches the rays OA and OB and has center O' and radius r'. Find the area of the quadrilateral OAO'B. 2.  The sequence an is defined by a1 = 1, a2 = 2, an+2 = an+1 + an. The sequence bn is defined by b1 = 2, b2 = 1, bn+2 = bn+1 + bn. How many integers belong to both

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Posted in: All Soviet Union Mathematical Olympiad Problems,ASU

Rush Hour

Click on the image to go to the game

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Fun Math Books for Kids

The Grapes Of Math: Mind-Stretching Math Riddles




Tiger Math: Learning to Graph from a Baby Tiger


(MARVELOUS MATH) A BOOK OF POEMS BY Hopkins, Lee Bennett ( AUTHOR )paperback{Marvelous Math: A Book of Poems} on 01 Aug, 2001

Math Trek: Adventures in the Mathzone

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Fun Maths Book Reviews

Fun Math Books for kidsSince I work with very advanced children, you need to take that into account when you see my age recommendations.For kindergarten and elementary school, and probably some adults"Imagine" by Norman Messenger has beautiful pictures, each one a puzzle, joke or optical illusion. As a bonus, at the corners of every page there is a math puzzle for older children.For kids,

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Fun Math Books for Kids

The Grapes Of Math: Mind-Stretching Math RiddlesTiger Math: Learning to Graph from a Baby Tiger(MARVELOUS MATH) A BOOK OF POEMS BY Hopkins, Lee Bennett ( AUTHOR )paperback{Marvelous Math: A Book of Poems} on 01 Aug, 2001Math Trek: Adventures in the Mathzone

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Math Worksheets for Kids

Addition Worksheets Over 150 printable addition worksheets can be found here. Subtraction WorksheetsYou will find a variety of subtraction worksheets here! Multiplication Worksheets Print lots of multiplication worksheets to keep skills sharp.Division Worksheets Christmas Division Practice #5 - 4-digit by 1-digit no remainderChristmas Division Practice #4 - 3-digit by 1-digit with

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Wordless Picture Books

Sharing wordless picture books with your children is a great way to practice storytelling! These are a few of my favorite wordless books to help build the narrative skills your child will need to get them ready to read.


What if?
By: Laura Vaccaro Seeger

This nearly wordless picture book begins when a boy finds a beach ball and asks, "What if?" then lets you fill in the rest.

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Flotsam
By: David Wiesner

This Caldecott winner tells the story of a camera when it is lost at sea.

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Chalk
By: Bill Thomson

This beautifully illustrated book tells the story of three children who find magic chalk that brings their imagination to life.

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A Boy, A Dog and A Frog

By: Mercer Mayer

The adventures of a boy as he tries to catch a frog.

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-cm

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Posted in: Staff Favorites

Teaching Long Division

Algebraic long division is very similar to traditional long division (which you may have come across earlier in your education). The easiest way to explain it is to work through an example.ExampleNote Bene:If the polynomial/ expression that you are dividing has a term in x missing, add such a term by placing a zero in front of it. For example, if you are dividing x³ + x - 4 by something, rewrite

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Posted in: Long Division

Celebrate African-American Culture

Celebrate our great nation's diversity and heritage with these books that focus on African-American history and heritage.In February our nation celebrates Black History Month--which is a perfect time to let your kids' bedtime stories do double duty as entertainment and as a history lesson. You'll love the stories--and the artwork--in these fun and educational books.The Sweet and Sour Animal

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New Book Review: The Cow Loves Cookies

By Karma Wilson
Illustrated by Marcellus Hall
Call Number E Willson
Best for ages 2-8

I, for one, love cookies. And so does the cow. We follow the farmer feeding all the animals what they like to eat, in a wonderful rhythm and rhyme that build a pattern on one another through the entire story. The illustrations have bold black lines and bright water colors and have a nostalgic- old-fashioned feel to them.

This is a great book for read-aloud both for groups and one-on-one with a great refrain that kids will want to read along with- after all “the Cow loves Cookies.”
Click here to view this title in the catalog

-JW-

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Posted in: New Book Review,Picture Books

Little Builders: November Session is moved to December

The Little Builders club will not be held November due to the Thanksgiving holiday weekend. Instead it will be held Saturday, December 4.

This is a club for children ages 3 through 5 to play with Duplo blocks. Space is limited and registration is required. There will also be a conflict for the Christmas holiday, so stay tuned.

Little Builders
Saturday, December 4
10:30-11:30 AM
Storytime Room

Registration is required. Please phone (503)350-3600 to register or sign-up in person at the Children’s Desk on the first floor of the library. Registration begins one month before the session.

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Fun Math Books for Kids

25 Super Cool Math Board Games (Grades 3-6)by Lorraine Hopping EganGet kids fired up about math with this big collection of super-cool reproducible board games that build key skills: multiplication, division, fractions, probability, estimation, mental math, and more! Each game is a snap to make and so easy to play. Family

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Christian Children's Book Review

Old Sadie and the Christmas Bear (Old Sadie & Christmas Bear Nrf CL.)Author: Phyllis Reynolds NaylorPublisher: AtheneumProduct DescriptionNear-sighted old Sadie welcomes a visitor who is experiencing the joy of Christmas for the first time.Hands Are Not for Hitting / Las manos no son para pegar (Best Behavior) (English and Spanish Edition) Author: Martine Agassi Ph.D.Publisher: Free Spirit

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Posted in: Christian Children's Book Review

Popular Gift Ideas - December Holiday Deals

 Windows 7 Netbooks Under Starting $350: Find the biggest selection of netbooks with Windows 7 Starter in the Amazon.com netbooks store. Blu-ray Players Under $200: The high-def experience doesn’t have to be expensive. Amazon.com has Blu-ray players from brands such as LG, Samsung, and Sony with prices below $200.Great savings on new cutting-edge HP Photosmart Premium TouchSmart Web All-in-One

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Holiday Open House and Tree Lighting 2010

Join Mayor Denny Doyle and the Beaverton City Council on Friday, December 10, 2010 for the Seventh Annual Tree Lighting and Holiday Open House here at the Beaverton City Library and in City Park. The event begins at 5:00 p.m. inside the library and concludes at 7:00 p.m. with the lighting of the tree in City Park. You can visit with Santa and Mrs. Claus and see performances by the Beaverton Community Band, Beaverton Youth Cheer and Dance and Beaverton Civic Theatre. For more information please visit http://www.beavertonoregon.gov/mayor/events/holiday_tree_lighting.aspx. We hope to see you there. -gw-

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Children's Maths Remainder

More books about long division for kids

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10 Ways to Prepare Your Child for School

Banish first-day jitters for your child and for yourself! Starting school can be a difficult time for children. Every child is hesitant to go somewhere new and see people she's never met before. Here are some helpful ways to prepare your child for her first day of school: 1. Let your child know what his schedule will be like. Tell him what time school begins and ends each day. 2. Ask

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Best Books for Big Kids

Childrens books for big kidsBigger kids have got some special requirements than younger kids when it comes to reading. We've got a bunch of books just right for their reading pleasure.Once I Ate a Pieby Patricia MacLachan and Emily MacLachlan CharestIn this book full of creative and whimsical poems that highlight dogs' different personalities, each dog narrates its own poem. The bulldog likes to

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Numbers Bingo Cards

Learn numbers from 0 to 20. Match numeral to numeral or number words. Unique, six-way format adapts to a variety of skill levels, and is a fun learning supplement for small groups or the entire class. Also ideal for learners with disabilities and anyone learning English. Set includes: 36 playing cardsOver 200 chipsCallers mat and cardsSturdy storage boxSuitable for kids aged 4 years old &

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World Racing Game for Kids

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Mathematics according to the Lifelike Pedagogy

Lifelike Pedagogy will change the way you teach!by Marcelo Rodrigues (Author) Price: $10Mathematics according to the Lifelike PedagogyTo complete the project about diamonds, the class of 6-year-old students decided to visit a museum where they could find diamonds. But, in order to do this, students needed to get the money necessary for the trip.The class decided to earn the money by selling

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Good Books on Mathematics

Look at "Five Equations That Changed The World", by Guillen comes to mind. Also, "Longitude" by Sobel.Harper Collins Dictionary of MathematicsW.W. Sawyer: What is Calculus About? and Mathematician's DelightCourant and Robbins: What is Mathematics?Hogben: Mathematics for the MillionSteinhaus: Mathematical SnapshotsIvars Peterson: The Mathematical TouristDavis and Hersh: The Mathematical

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