Why Study Math?Math is often referred to as a universal language. Discover reasons for studying math with tips from a mathematics tutor in this free video on math lessons.Expert: Fernando MillanFilmmaker: Paul Muller ...
Mathematic Skills for Grades 3-6
NUMBER OPERATIONS AND CONCEPTSA+ Math Play exciting games like Matho and Hidden Picture (+ -x /) Also has great flashcardsBuilder Ted In this interactive game, students must order decimalsComparing Big Numbers Comparing fractions and decimals - Practice converting one to the other in this interactive game.Concentration Games from Harcourt Brace: Fractions/Decimal Equivalents, Fractions/Decimal Equivalents...
Double Division with 3 Digit Divisors 612416/983
Method of Vietnamese Diagram: Double the Divisor 3 TimesMethod of International Diagram: Double the Divisor 3 TimesMethod of Vietnamese Diagram: Double the Divisor 5 TimesIt's Easy!Step 1 - Double, double, double.Step 2 - Subtract off multiples.Step 3 - Add up your answer." Photos source: Nguyen Thi Lan Phuong, http://...
9th Vietnam Mathematical Olympiad 1970
A1. ABC is a triangle. Show that sin A/2 sin B/2 sin C/2 < 1/4. A2. Find all positive integers which divide 1890·1930·1970 and are not divisible by 45. A3. The function f(x, y) is defined for all real numbers x, y. It satisfies f(x,0) = ax (where a is a non-zero constant) and if (c, d) and (h, k) are distinct points such that f(c, d) = f(h, k), then f(x, y)...
8th Vietnam Mathematical Olympiad 1969
1. A graph G has n + k points. A is a subset of n points and B is the subset of the other k points. Each point of A is joined to at least k - m points of B where nm < k. Show that there is a point in B which is joined every point in A. 2. Find all real x such that 0 < x < π and 8/(3 sin x - sin 3x) + 3 sin2x ≤ 5. 3. The real numbers x1, x4, y1, y2 are...
Find the value of 'x' in the expression
If a = xy / (x + y) and b = yz / (y + z) and c = zx / (z + x). Know that a, b and c are not equal to zero, find the value of x in terms of a, b and c....
Adding Fractions with Different Denominators
Adding Fractions with Different Denominators How to Add Fractions with different denominators:Find the Least Common Denominator (LCD) of the fractionsRename the fractions to have the LCDAdd the numerators of the fractionsSimplify the FractionAdding Fractions with Unlike Denominators Adding Fractions with Different Denominators (No LCD)...
4th Vietnam Mathematical Olympiad 1965
1. At time t = 0, a lion L is standing at point O and a horse H is at point A running with speed v perpendicular to OA. The speed and direction of the horse does not change. The lion's strategy is to run with constant speed u at an angle 0 < φ < π/2 to the line LH. What is the condition on u and v for this strategy to result in the lion catching the horse? If the lion does not catch...
3rd Vietnam Mathematical Olympiad 1964
1. Find cos x + cos(x + 2π/3) + cos(x + 4π/3) and sin x + sin(x + 2π/3) + sin(x + 4π/3). 2. Draw the graph of the functions y = | x2 - 1 | and y = x + | x2 - 1 |. Find the number of roots of the equation x + | x2 - 1 | = k, where k is a real constant. 3. Let O be a point not in the...
2nd Vietnam Mathematical Olympiad 1963
1. A conference has 47 people attending. One woman knows 16 of the men who are attending, another knows 17, and so on up to the last woman who knows all the men who are attending. Find the number of men and women attending the conference. 2. For what values of m does the equation x2 + (2m + 6)x + 4m + 12 = 0 has two real roots, both of them greater than -2. 3. Solve the equation...
1st Vietnam Mathematical Olympiad 1962
1. Prove that 1/(1/a + 1/b) + 1/(1/c + 1/d) ≤ 1/(1/(a+c) + 1/(b+d) ) for positive reals a, b, c, d. 2. f(x) = (1 + x)(2 + x2)1/2(3 + x3)1/3. Find f '(-1). 3. ABCD is a tetrahedron. A' is the foot of the perpendicular from A to the opposite face, and B' is the foot of the perpendicular from B to the opposite face. Show that AA' and BB' intersect iff AB...
Why Mathematics is so great?
What's correlation between the structure of the mathematical theory and object structure? My ideas about mathematics: Sign language of mathematically is a system non-contradiction. Mathematical language is a language system form of symbolic. Mathematics is a scientific inference, the type of theoretical knowledge. System of mathematical objects are determined a priori object class but applied mathematics achievement...
Dictionary of Classical and Theoretical Mathematics
Title: Dictionary of Classical and Theoretical MathematicsAuthor: Catherine Cavagnaro, William T. Haight, IIPublisher: © 2001 by CRC Press LLCPrice: $58.95 Product Description: http://www.amazon.com/Dictionary-Classical-Theoretical-Mathematics-Comprehensive/dp/1584880...
English Vietnamese Mathematics Dictionary
Title: English Vietnamese Mathematics DictionaryAuthors: Chính Đức Phan, Khanh Minh Lê, Lập Tấn Nguyễn, Thịnh Đình Lê, Thúy Công Nguyễn, Văn Bác Nguyễn.Url: http://vuimahoc.com/english-vietnamese-mathematics-dictionary.pdfSize: 1.126...
Report on Fundamental Lemma
Title: Report on Fundamental LemmaAuthor: Châu Bảo Ngô, School of mathematics, Institute for Advanced Study, Princeton, NJ 08540 USA.Url: http://www.math.ias.edu/~ngo/cdm....
Class Seminar: Application of Mathematics?
In what ways do mathematics affect our lives? (Consider things like human-based computing, statistics and probability, applied mathematics). When can information be considered property that can be protected by formal laws? What do visual elements (pattern, shape, size, proportion, texture, color, and proximity of buildings) contribute to the identity of a city? References: http://en.wikipedia.org/wiki/Applied_mathe...
Numbers and Counting through Ten
Counting to ten with numbers:1, 2, 3, 4, 5, 6, 7, 8, 9, 10Counting to ten with words:one, two, three, four, five, six, seven, eight, nine, tenCounting to ten with objects:first ten (10) numbers and the quantities they representCounting allows us to know the total number of things or objedts in a group. In order to do so, we separate the items...
English - Vietnamese Math Glossary: A
English - Vietnamese Math Glossary: A aboutkhoảng chừng above ở trên asolute valuegiá trị tuyệt đối, trị số tuyệt đối accuratechính xác accurately label workcông việc có nhãn hiệu chính xác act it outlàm acute anglegóc nhọn acute triangletam giác nhọn addcộng, tính cộng addend phần hay số được cộng thêm vào additionphép cộng, tính cộng, cộng, toán cộng addition factcơ sở lập luận của phép cộng addition sentencemệnh...
How to Make Addition - Subtraction - Multiplication - Division War?
Game: Addition WarGoal: 1 – The learner will read write, model, and compute with rational numbersMaterials: directions; a deck of cards with 4 each of the numbers 1 through 10 (available on-site); paper (preferably graph paper); pencilProcedure: In problem solving, it might be helpful to think about solutions and answers as two different things. An answer is the final result to a problem, while a solution...
Arithmetics Skills Test: Time, Patterns, Multiplication (Basic Facts)
Skills: Time, Patterns, Multiplication (basic facts)1. David James and Pitter Pan began watching a movie at 3:30. The movie ended at 4:45. How long was the movie? Look at a clock with hands if you need help figuring this out.______ hours and ______ minutes long 2. Leah’s dog, Belle, buried 5 bones in the backyard on Monday. On Tuesday, she buried 7 bones in the backyard. On Wednesday,...
How to make Long Division with Remainders?
When we are given a long division to do it will not always work out to a whole number. Sometimes there will be numbers left over. These are known as remainders. e.g: 435 ÷ 25 4 ÷ 25 = 0 remainder 4 The first number of the dividend is divided by the divisor. ...
Teaching Long Division and Double Division
"Teaching Double Division can help in teaching long division by reinforcing the principles of division and giving students success with a less frustrating alternative. Double Division does not depend on memorizing the multiplication facts or estimating how many times one number goes into another. It may take 50% longer, but it is far less frustrating and probably easier to understand than Long Division. It's Easy!Step...
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