Harmonic and Fibonacci Sequences
... Sometimes it is easier to recognize a harmonic sequence if you create common NUMERATORS for your numbers. For example, consider the sequence: 6, 3, 2, …. There is not a common difference so it is not ________________, and there is not a common ratio, so it is not _________________.* However, the com ...
... Sometimes it is easier to recognize a harmonic sequence if you create common NUMERATORS for your numbers. For example, consider the sequence: 6, 3, 2, …. There is not a common difference so it is not ________________, and there is not a common ratio, so it is not _________________.* However, the com ...
Algebra - Aventura Waterways K
... - Twice as old as Sammy = 2s * Maria’s allowance divided by 4 = a/4 - Three more than the quantity fives times a number n = 5n + 3 - A number x decreased by the sum of 10 and the square of a number y = x-(10+y2) ...
... - Twice as old as Sammy = 2s * Maria’s allowance divided by 4 = a/4 - Three more than the quantity fives times a number n = 5n + 3 - A number x decreased by the sum of 10 and the square of a number y = x-(10+y2) ...
fraction - Pacoima Charter School
... Mixed Numbers (Lesson Part I adding with like denominators of 20 or less) ...
... Mixed Numbers (Lesson Part I adding with like denominators of 20 or less) ...
Resource 40
... Use complex numbers in polynomial identities and equations N-CN.7. Solve quadratic equations with real coefficients that have complex solutions. N-CN.8. (+) Extend polynomial identities to the complex numbers. For example, rewrite x2 + 4 as (x + 2i)(x – 2i). N-CN.9. (+) Know the Fundamental Theorem ...
... Use complex numbers in polynomial identities and equations N-CN.7. Solve quadratic equations with real coefficients that have complex solutions. N-CN.8. (+) Extend polynomial identities to the complex numbers. For example, rewrite x2 + 4 as (x + 2i)(x – 2i). N-CN.9. (+) Know the Fundamental Theorem ...
Binet`s formula for Fibonacci numbers
... The magic number that the ratios of two consecutive Fibonacci numbers approach is Ф = (1 + V5)/2. Essentially this means that, except for the first few, each Fibonacci number is approximately equal to Ф times the preceding one, and the approximation gets better as the numbers get larger. ...
... The magic number that the ratios of two consecutive Fibonacci numbers approach is Ф = (1 + V5)/2. Essentially this means that, except for the first few, each Fibonacci number is approximately equal to Ф times the preceding one, and the approximation gets better as the numbers get larger. ...
6.3 Using Properties with Rational Numbers Powerpoint
... Fran made 18 three-point shots and 12 onepoint shots. She had a total of 102 points for the basketball season. How many two-point shots did Fran make for the season? 18 two-point shots ...
... Fran made 18 three-point shots and 12 onepoint shots. She had a total of 102 points for the basketball season. How many two-point shots did Fran make for the season? 18 two-point shots ...
Math 308: Defining the rationals and the reals
... From the set theoretic definition of natural numbers N given last time (and a mild generalization to a definition of Z, which we omit) it is possible (not easy) to prove the “standard algebra rules” for integers, and to define the relation a b as we usually understand it. We then define the relati ...
... From the set theoretic definition of natural numbers N given last time (and a mild generalization to a definition of Z, which we omit) it is possible (not easy) to prove the “standard algebra rules” for integers, and to define the relation a b as we usually understand it. We then define the relati ...
Elementary mathematics
Elementary mathematics consists of mathematics topics frequently taught at the primary or secondary school levels. The most basic topics in elementary mathematics are arithmetic and geometry. Beginning in the last decades of the 20th century, there has been an increased emphasis on problem solving. Elementary mathematics is used in everyday life in such activities as making change, cooking, buying and selling stock, and gambling. It is also an essential first step on the path to understanding science.In secondary school, the main topics in elementary mathematics are algebra and trigonometry. Calculus, even though it is often taught to advanced secondary school students, is usually considered college level mathematics.