Unit 11 - Connecticut Core Standards
... radicals. They model real world data that can be fitted with a quadratic model. They then look at quadratic relations in two-variables (not all of which are functions), i.e. the conic sections. The locus approach is used to define and derive equations for circles, parabolas, ellipses, and hyperbolas ...
... radicals. They model real world data that can be fitted with a quadratic model. They then look at quadratic relations in two-variables (not all of which are functions), i.e. the conic sections. The locus approach is used to define and derive equations for circles, parabolas, ellipses, and hyperbolas ...
Word
... a fraction or whole number by a fraction. a. Interpret the product (a/b) × q as a parts of a partition of q into b equal parts; equivalently, as the result of a sequence of operations a × q ÷ b. For example, use a visual fraction model to show (2/3) × 4 = 8/3, and create a story context for this equ ...
... a fraction or whole number by a fraction. a. Interpret the product (a/b) × q as a parts of a partition of q into b equal parts; equivalently, as the result of a sequence of operations a × q ÷ b. For example, use a visual fraction model to show (2/3) × 4 = 8/3, and create a story context for this equ ...
Pascal`s Triangle and Fractals! - Washington University Math Circle
... Pascal’s triangle is a famous mathematical structure because of its beauty and usefulness. Pascal’s triangle is named after the French mathematical prodigy Blaise Pascal (1623-1662). In addition to work in theoretical mathematics, Pascal worked in physics and philosophy, was a writer, and was one of ...
... Pascal’s triangle is a famous mathematical structure because of its beauty and usefulness. Pascal’s triangle is named after the French mathematical prodigy Blaise Pascal (1623-1662). In addition to work in theoretical mathematics, Pascal worked in physics and philosophy, was a writer, and was one of ...
15 pt How to multiply pictures, and why
... Knot theory, a branch of topology, was created by 4 physicists: Maxwell, Lord Kelvin (William Thomson), Helmholtz, and Peter Tait in about 1850. They had various motivations, including the explanation of all physical interactions. The problem which Lord Kelvin and Tait thought in 1867 would be strai ...
... Knot theory, a branch of topology, was created by 4 physicists: Maxwell, Lord Kelvin (William Thomson), Helmholtz, and Peter Tait in about 1850. They had various motivations, including the explanation of all physical interactions. The problem which Lord Kelvin and Tait thought in 1867 would be strai ...
Alg2 Notes 9.5.notebook
... In 2010, Company A had 4000 employees, In 2011, Company A had 4200 employees, (+200) In 2012, Company A had 4400 employees. (+200) What is the average growth? 200/year: normal mean Company B is growing exponential. In 2010, Company B had 4000 employees, In 2011, Company B had 4200 employees, ( ...
... In 2010, Company A had 4000 employees, In 2011, Company A had 4200 employees, (+200) In 2012, Company A had 4400 employees. (+200) What is the average growth? 200/year: normal mean Company B is growing exponential. In 2010, Company B had 4000 employees, In 2011, Company B had 4200 employees, ( ...
Old and new deterministic factoring algorithms
... ([Len], 1984), and the rst author ([McK1], in press). In this paper, two more O(n = ) factoring algorithms are presented, bringing the total to ve. Although largely of theoretical interest, any new factoring method raises questions about the security of the moduli used in the RSA cryptosystem ([R ...
... ([Len], 1984), and the rst author ([McK1], in press). In this paper, two more O(n = ) factoring algorithms are presented, bringing the total to ve. Although largely of theoretical interest, any new factoring method raises questions about the security of the moduli used in the RSA cryptosystem ([R ...
Focus Questions Background - Connected Mathematics Project
... 1. How do you decide which operation to use when you are solving a problem? 2. How is the relationship between addition and subtraction like the relationship between multiplication and division? How is it different? 3. While working with fact families, you thought about decomposing numbers. a. What ...
... 1. How do you decide which operation to use when you are solving a problem? 2. How is the relationship between addition and subtraction like the relationship between multiplication and division? How is it different? 3. While working with fact families, you thought about decomposing numbers. a. What ...
History of mathematics
The area of study known as the history of mathematics is primarily an investigation into the origin of discoveries in mathematics and, to a lesser extent, an investigation into the mathematical methods and notation of the past.Before the modern age and the worldwide spread of knowledge, written examples of new mathematical developments have come to light only in a few locales. The most ancient mathematical texts available are Plimpton 322 (Babylonian mathematics c. 1900 BC), the Rhind Mathematical Papyrus (Egyptian mathematics c. 2000-1800 BC) and the Moscow Mathematical Papyrus (Egyptian mathematics c. 1890 BC). All of these texts concern the so-called Pythagorean theorem, which seems to be the most ancient and widespread mathematical development after basic arithmetic and geometry.The study of mathematics as a subject in its own right begins in the 6th century BC with the Pythagoreans, who coined the term ""mathematics"" from the ancient Greek μάθημα (mathema), meaning ""subject of instruction"". Greek mathematics greatly refined the methods (especially through the introduction of deductive reasoning and mathematical rigor in proofs) and expanded the subject matter of mathematics. Chinese mathematics made early contributions, including a place value system. The Hindu-Arabic numeral system and the rules for the use of its operations, in use throughout the world today, likely evolved over the course of the first millennium AD in India and were transmitted to the west via Islamic mathematics through the work of Muḥammad ibn Mūsā al-Khwārizmī. Islamic mathematics, in turn, developed and expanded the mathematics known to these civilizations. Many Greek and Arabic texts on mathematics were then translated into Latin, which led to further development of mathematics in medieval Europe.From ancient times through the Middle Ages, bursts of mathematical creativity were often followed by centuries of stagnation. Beginning in Renaissance Italy in the 16th century, new mathematical developments, interacting with new scientific discoveries, were made at an increasing pace that continues through the present day.