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graph: xy = –12

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Perfect Square Root Chart

Middle School Math Worksheets. Passy's World of Mathematics. Image Source: A survey was conducted at a Cafe which sells food and coffees.

Passy's World of Mathematics

The reason for the survey was that they were having trouble keeping up with the demand for Cappuccino coffees during peak periods. The Barista suggested that they get a bigger machine to cope with the high demand. A bigger machine is very expensive to buy, and so the owner had a two day survey done to find out how many Cappuccinos were being made per hour in the Cafe. From the survey results, they would be able to do some Graphs and Statistics, and better understand the current problem situation. Gathering and Analysing Statistical Data is a key part of Business and Marketing, and provides a mathematical picture of current situations and future initiatives. In this lesson we look at finding the Mean, Median, and Mode Averages for Grouped Data containing Class Intervals. If you do not have any previous knowledge of Grouped Data, then we suggest you do our previous lesson on this at the following link:

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November - Open-Ended Math Problems

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Pythagorean Theorem and its many proofs

Smullyan in his book 5000 B.C. and Other Philosophical Fantasies tells of an experiment he ran in one of his geometry classes. He drew a right triangle on the board with squares on the hypotenuse and legs and observed the fact the the square on the hypotenuse had a larger area than either of the other two squares. Then he asked, "Suppose these three squares were made of beaten gold, and you were offered either the one large square or the two small squares. Which would you choose? " Interestingly enough, about half the class opted for the one large square and half for the two small squares.

The Pythagorean (or Pythagoras') Theorem is the statement that the sum of (the areas of) the two small squares equals (the area of) the big one. In algebraic terms, a² + b² = c² where c is the hypotenuse while a and b are the legs of the triangle. The theorem is of fundamental importance in Euclidean Geometry where it serves as a basis for the definition of distance between two points. GeoGebra Reviews. Search. Plane Geometry Calculators. Fractions Calculators. Help to add, subtract, multiply, divide, simplify, order, compare and convert fractions, improper fractions, integers and mixed numbers with an online fractions calculator.

Fractions Calculators

Fraction Operations and Manipulations Fraction Calculator Operations on proper and improper fractions. Includes formulas for adding, subtracting, multiplying and dividing fractions. Lines, rays, and angles - free geometry lesson plan from Complex Fractions: More Examples. Complex Fractions: More Examples (page 2 of 2) Simplify the following expression: Can I start by hacking off the x – 3's?

Complex Fractions: More Examples

Can I cancel the 4 with the 12? Or the 3 with the 9 or the 12? (Hint: No!) Clearly, nothing cancels, so my final answer is: (Why the restrictions?) Pi. The number π is a mathematical constant, the ratio of a circle's circumference to its diameter, approximately equal to 3.14159.


It has been represented by the Greek letter "π" since the mid-18th century though it is also sometimes spelled out as "pi" (/paɪ/). Being an irrational number, π cannot be expressed exactly as a common fraction. Consequently its decimal representation never ends and never settles into a permanent repeating pattern. The digits appear to be randomly distributed although no proof of this has yet been discovered. Pi. Draw a circle with a diameter (all the way across the circle) of 1 Then the circumference (all the way around the circle) is 3.14159265... a number known as Pi Pi is often written using the greek symbol π The definition of π is: The Circumference divided by the Diameter of a Circle.


To help you remember what π is ... just draw this diagram. Finding Pi Yourself. Transformations. Transformations. 7th Grade. Algebraic Expressions Millionaire. CD-1910_BB1.jpg (JPEG Image, 547 × 387 pixels) All My Faves: My Homepage! Visual Bookmarks & Web Directory. Pre Algebra charts. Algebra Index. Algebra is great fun - you get to solve puzzles!

Algebra Index

With computer games you play by running, jumping or finding secret things. Well, with Algebra you play with letters, numbers and symbols, and you also get to find secret things!