PPT-Continued Fractions for

Preservice teachers Lance Burger Maths 138 149 CI 161 Some Background Origins difficult to pinpoint Evidence theyve been around over the last 2000 years T ypically credited to the emergence of Euclids algorithm as by manipulating the algorithm one can derive the continued fraction representation for . J van der Poorten Macquarie University It is well known that one can obtain explicit continued fraction expansions of for various interesting values of but the details of appropriate constructions are not widely known We provide a reminder of those Continued Fractions. Lisa Lorentzen. Norwegian University of Science and Technology. Continued fraction:. Convergence:. Möbius. transformations:. Convergence:. Catch:. L (1986). General convergence:. Raising and Reducing. Pizza. Pizza. 3/4. 6/8. 9/12. Multiply by 1. 5 x 1 =. 235 x 1 =. 2/3 x 1 =. a x 1 =. 5. 235. 2/3. a. What is 1?. . Rasing Fractions. . . . Rasing Fractions. A man walks into the pizza store and orders a medium pizza.. Standard: . 8.EE.C.. 7b . Solve . linear equations in one variable. . Solve linear equations with rational number coefficients, including equations whose solutions require expanding expressions using the distributive property and collecting like terms. . What are Fractions?. Fractions are . pieces . of whole numbers.. Whole numbers are numbers: 0, 1, 2, 3, and so on.. Creating Fractions. Parts of a Fraction. A fraction has two parts. . 1. 2. Creating Fractions. Standard: . 8.EE.C.. 7b . Solve . linear equations in one variable. . Solve linear equations with rational number coefficients, including equations whose solutions require expanding expressions using the distributive property and collecting like terms. . Elizabeth Blaesser/Maccani . Click here to continue.. Introduction. This project is designed for Mrs. Maccani’s 3. rd. grade class.. The purpose of this project is to understand the relationship between whole numbers, simple fractions, and decimals. Students will demonstrate their understanding of equivalency and problem solving related to fractions and decimals.. Essential Question: How do you simplify fractions?. Before we start…. Do the following fractions represent the same quantity. ?.  . What is a . fraction. ?. A . ratio. comparing two . numbers . a. our friends!. Now, let’s. n. ot get all crazy. with this “friend” stuff,. Mr. Sunshine.. © . Mike’s Math Mall. Multiplying. Made easy!. PowerPoint. Introduction. Multiplying Fractions. Hi! My. Alice Vigors. 2017. Teaching & Learning Sessions. Describes and represents mathematical situations in a variety of ways using mathematical terminology and some conventions . MA3-1WM. Selects and applies appropriate problem-solving strategies, including the use of digital technologies, in undertaking investigations . CM. www.laclassedemallory.net. Numération. Objectif de la séance. A. ujourd’hui, nous allons travailler . en . numération. . Nous allons apprendre à . lire, écrire et . représenter les . fractions. our friends!. Now, let’s. n. ot get all crazy. with this “friend” stuff,. Mr. Sunshine.. © . Mike’s Math Mall. Multiplying. Made easy!. PowerPoint. Introduction. Multiplying Fractions. Hi! My. The fractions . . . and . . . have . the same denominator. Fractions with the same denominators are . like fractions. . . What’s a “like fraction” ?. 2. 4. 3. 4. It’s easy to compare like fractions.. The fractions . . . and . . . have . the same denominator. Fractions with the same denominators are . like fractions. . . What’s a “like fraction” ?. 2. 4. 3. 4. It’s easy to compare like fractions..