Algebra Index Algebra is great fun - you get to solve puzzles! 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! The Basics Exponents Simplifying Factoring Factoring - Introduction Logarithms What Is A Logarithm Polynomials Linear Equations Quadratic Equations Functions Definition of a Function Sequences and Series Where to Next?
Transformation - Scale factor enlargements Related Topics:More Lessons for GCSE Maths Math Worksheets Videos to help GCSE Maths students learn about Transformation: Translation, Reflection, Rotation, Enlargement. Enlargement Positive, Negative, and Fractional Scale Factors. Enlargement by a scale factor (Edexcel GCSE Maths) How to enlarge a shape from a centre of enlargement Enlargement Fractional and Negative Scale Factors GCSE Maths revision Exam paper practice & help GCSE transformations: enlargement by positive and negative scale factor GCSE Maths - Enlarging a Shape Given a Point - Higher 2014 and 2015 exam spec Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations. You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics.
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. Fractions such as 22/7 and other rational numbers are commonly used to approximate π. For thousands of years mathematicians have attempted to extend their understanding of π, sometimes by computing its value to a high degree of accuracy. Because its definition relates to the circle, π is found in many formulae in trigonometry and geometry, especially those concerning circles, ellipses or spheres. Fundamentals Name The symbol used by mathematicians to represent the ratio of a circle's circumference to its diameter is the Greek letter π, sometimes spelled out as pi, particularly when foreign fonts are not available. Definition Properties or Continued fractions
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 Draw a circle, or use something circular like a plate. Measure around the edge (the circumference): I got 82 cm Measure across the circle (the diameter): I got 26 cm Divide: 82 cm / 26 cm = 3.1538... That is pretty close to π. Using Pi We can use π to find a Circumference when we know the Diameter Circumference = π × Diameter Example: You walk around a circle which has a diameter of 100 m, how far have you walked? Distance walked = Circumference = π × 100 m = 314.159... m = 314 m (to the nearest m) Also we can use π to find a Diameter when we know the Circumference Diameter = Circumference / π Diameter = Circumference / π = 94 mm / π = 29.92... mm Radius
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? Clearly, nothing cancels, so my final answer is: (Why the restrictions?) It is highly unusual for a complex fraction to simplify this much, but it can happen. I can only cancel factors, not terms, so the above cancellations are not proper. Then my final answer is: Copyright © Elizabeth Stapel 2003-2011 All Rights Reserved (Why the restrictions?) Simplify the following expression: Can I start by canceling off the 1's or the 1/t's? Can I cancel off the t's now? (Why the restrictions?) When working with complex fractions, be careful to show each step completely. << Previous Top | 1 | 2 | Return to Index
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. Fraction Operations and Manipulations Fraction Calculator Operations on proper and improper fractions. Includes formulas for adding, subtracting, multiplying and dividing fractions. Adding Fractions Add 2 to 10 fractions at a time and see the work in getting the answer Simplifying Fractions Simplifies proper and improper fractions showing the result as a fraction or mixed number. Equivalent Fractions Generate a set of equivalent fractions to a fraction, mixed number or integer Mixed Fractions See: Mixed Numbers, Integers & Fractions Mixed Numbers, Integers & Fractions Operations on whole numbers, integers, mixed numbers, proper fractions and improper fractions. Simplifying Complex Fractions Decimal to Fraction Convert a decimal to a fraction. Fraction to Decimal Convert a fraction to a decimal. Fraction to Percent Percent to Fraction
Pythagorean Theorem and its many proofs Professor R. 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?" 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. Below is a collection of 118 approaches to proving the theorem. Remark Proof #1 First of all, ΔABF = ΔAEC by SAS. or
November - Open-Ended Math Problems November Problems Number Theory | Measurement | Geometry |Patterns, Algebra, and Functions | Data, Statistics, and Probability | Number Theory Start out simple... Dining Decisions 1. Change 2. Bagging Potatoes 3. Mug-Making Mary (from THE PROBLEM SOLVER 6) 4. 5. Gas $1.65 per gallon Snapple $1.29 for 16 oz. Measurement Space Measurement 6. Garden 7. TV Time 8. Geometry Meow! 9. Toothpick Fun 10. Painting Problem 11. Patterns, Algebra, And Functions Round Robin 12. Dots 13. This will really challenge you... Lucky Leaf Lettuce 14. Data, Statistics, And Probability Car Colors 15. Brrrrrr!!!!! 16. Randomly Speaking 17. November Solutions Back to Open-Ended Math Index
Lessons | Passy's World of Mathematics | Mathematics Help Online | Page 5 Image Source: WordPress.com A survey was conducted at a Cafe which sells food and coffees. 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. The Modal Class
Perfect Square Root Chart Square root of Diameter of Number square roots from root table square Results this is chart square root Times square root divided Sep Summary Chart Runtimes: square roots chart above perfect Square+root+table Square+root+chart+1+200 Square root table for algebra: Square roots without a right Square+root+chart+1+200 a plot of the square root to the square root of thus has a perfect square Square+root+table+1+100 Perfect Square Chart Square+root+chart+1+200 Roots charts free graphs from
5000 FREE SAT Test Prep Words - 5000 Vocabulary Words FREE IMP6.pdf graph: xy = –12 x Image InputX Upload an image from your computer: Enter a URL for an image: Terms | Privacy All images »Recent images Loading... Sample images Data InputX Give numeric, tabular, or other data. Save for Later Use Use without Saving Upload a file »Terms | Privacy All data »Recent data Sample data categories-currency dates-categories countries-currency-numbers dates-currency-1 dates-numbers categories-numbers dates-currency-2 categories-numbers-genders cities dates-categories-names-currency countries-currency states-genders-counts-currencies email-addresses cities-types-currency File UploadX Upload a file from your computer: Enter a URL for a file: Copy & paste as input »Terms | Privacy All files »Recent files Loading Supported formats and sample files Supported formats and sample files Basic formats Text, Binary, XLS, TSV, CSV, XLSXmore » Image formats GIF, JPEG, PNG, TIFF, JPEG2000, BMP, ACO, TGA, ICO, PCX, PBM, PGM, PNM, PPM, PXR, SCT, XBMmore » Vector graphics formats 3D geometry & modeling formats Audio formats XML formats x