Continued fraction Essays

THE GOLDEN RATIO By: Caren Wynn 10/16/14 History: The golden ratio is a part of mathematics and was formed by the Greeks. There are many names that are used for the golden ratio such as; golden section, golden mean, divine proportion. The division line into “extreme and mean ratio” is important in the geometry of regular pentagrams and pentagons. The golden ratio was explored by Luca Pacioli’s book De divina proportione of 1509. Some of the twentieth-century artists including Le Corbusier have

and subtracting like and unlike denominators. When adding mixed numbered fractions with the same denominator you add the whole numbers like normal and add the fractions like normal remembering to keep the denominator. For example, 2 ⅔ + 1 ⅓ = 2 + 1 = 3 and then 2 +1 for the numerators keeping the denominator a 3 gives you 3 3/3 or 4. In the denominators are not the same you leave the whole number alone and adjust the fractions like you did before. For example, 3 ½ + 5 ⅔ = the LCD is 6 so for ½ 3 /6

Fractions are often seen by teachers as difficult to teach in the classroom and in turn difficult for children to understand how and why we use them. Although this is the case, it should be noted that fractions underpin a child’s ability to develop proportional reasoning and helps promote further progress in future mathematical studies (Clarke, Roche & Mitchell, 2008). This highlights the need for a child to be proficient in fractions and for their teacher to also be able to progress a child’s learning

Aly seems to have multiple misconceptions about fractions during the video. One misconception she has is that a whole number is bigger than an improper fraction. When comparing 1 and 4/3 she identified 1 as the bigger number. When Aly was asked for her reasoning she said, "1 group of one number". Aly here doesn't have the understanding that an improper fraction can be turned to a mix number which consist of a whole number and a fraction. For example, 4/3 represents one full group and 1/3 of another

into fractions. It moves beyond solely identifying unit fractions, which has been our focus over the past week leading up to this lesson segment, and pushes students to be able to understand the concept of 1 unit fraction, for example, ¼, can be expanded to 2/4 or ¾ based on how a particular shape is partitioned. As a way of reinforcing the concept of some fractions being greater than unit fractions, in the second lesson students focus on applying their knowledge to represent those fractions with

students to take away from my learning segment is being able to correctly identify names of equal parts, know the differences between a fraction, unit fraction, numerator, and denominator, so students can be successful to write a fraction that represents a part of a whole or to describe a part of a set which will have students develop a deep understanding of fractions. Day 1: To measure what students will learn in lesson 1, students will be given a worksheet, which includes 4 problems that will have

What are three big ideas you have learned about fractions from the standards and your coursework experiences? 1. The first big idea about fractions that I learned from coursework experiences is about how students have different ways of understanding fractions, and how to recognize and support that these understandings converge towards the same conceptual understanding. This was made especially cognizant to me in class when we looked at different sets of student work and evaluated them for understanding

Whether you like math or not very good at it it’s apparent that it is going to be in your life in some way. Math plays a huge role in my life maybe not as much as a mathematician’s but it affects my life. For example, I use it every day when it comes to dealing with my finances. Math is everywhere so you must be aware of it regardless of how you feel towards the subject. Like many things in life we all have certain strengths and weaknesses when it comes to math I try my best and set my expectations

and dividing fractions, I had the students complete a short pre-assessment to determine their level of understanding and prior knowledge with the concept of fractions. This assessment consisted of twelve individual questions that ranged from understanding concepts to using mathematical processes. The first four questions determine the student’s understanding of the concept of what fractions represent compared to a whole, how to find equivalent fractions, and how to simplify a fraction. Additionally

subtract two fractions with the same units. The standard that is addressed in this lesson is 4.NF.3a “Understand a fraction a/b with a > 1 as a sum of fractions 1/b and understand addition and subtraction of joining and separating parts referring to the same whole.” This lesson is the first time students in the fourth grade are introduced to adding and subtracting fractions. In lesson 2, the learning objective is that students will be able to use visual models to add and subtract two fractions with the

1. One of the key things that I learned from Developing Fraction Concepts is how important it is for students to learn and fully comprehend fractions. In this chapter, the author talked about how fractions are important for students to understand more advanced mathematics and how fractions are used across various professions. As I was reading this, I thought about all the nurses who use fractions when calculating dosages and how important it is for them to get the dosages correct. If a nurse messed

When you have an awkward space for your restaurant, it can feel as if you're climbing a mountain without the proper gear. It's already hard enough to figure out the type of furniture you want in the space since it has to be functional, comfortable and yet withstand a lot of customers. Remove the Current Furniture To get a real feel for the awkwardness of the space, it's important to see it without furniture. Remove or open the drapes to really see the stark reality of the room. This will help you

Lesson 1 Lesson summary and focus: During this lesson, I will be reading the story Starfish by Robin Brickman while the students are following along. Once the story is completed, students will use the illustrations and detail throughout the story to describe the characters, setting, or events. Students will be asked questions to help enhance their understanding of the story to determine the characters, setting, and events of the story. Students will be able to use collaborative groups to help each

Full House: An Invitation to Fractions is written by Dayle Ann Dodds and illustrated by Abby Carter. By incorporating this piece of literature, one can creatively introduce second or third grade students to the world of fractions. The illustrations are creative, bright, and enjoyable to look at as the story is being read. The use of rhyme and rhythm makes the book easy to read and fun to listen to. Join Miss Bloom as she runs the Strawberry Inn to learn about fractions as she works to fill up her

Converting between percents, fractions, & decimals For example, learn how 50%, 1/2, and 0.5 are all equivalent. Google Classroom Facebook Twitter Email Percents, fractions, and decimals are all just different ways of writing numbers. For example, each of the following are equivalent: Percent Fraction Decimal 50\%50%50, percent \dfrac{1}{2} ​2 ​ ​1 ​​ start fraction, 1, divided by, 2, end fraction 0.50.50, point, 5 In conversation, we might say Ben ate 50\%50%50, percent of the pizza, or \dfrac12

Multiply Fractions Unit Summary In this unit, your student will learn to multiply a whole number by a fraction, a fraction by a fraction, a whole number by a mixed number, a fraction by a mixed number, and a mixed number by a mixed number. She will use different models, such as fraction strips, area models, and number lines, and different methods, such as repeated addition and the Distributive Property, to find products. Later, she will develop and use algorithms for multiplying fractions and mixed

Abbey Jacobson Math 212 Reflection 2 Reflect 4.4 ⅖ths is larger than 2/7ths because when changing the fraction to a common denominator, in this case 35, we get 14/35ths and 10/35ths respectively. 4/10ths is larger than 3/8ths, I found this by finding the common denominator of 80 and changing the fractions accordingly to get 32/80 and 30/80 respectively. When comparing 6/11 and ⅗ we find the ⅗ is larger when we find the common denominator. The common denominator is 55, we get 30/55 and 33/55 respectively

Truly understanding fractions and performing operations with fractions can often be difficult for many children and even adults. According to N. Krasa and S. Shunkwiler (2009), “Learning fractions is like stepping into the upside-down world beyond Alice’s looking glass. No wonder children are confused!” (p. 115). Discovering fractions in a way that enhances a student’s number sense is extremely important before the student begins operations with fractions. The Common Core State Standards for Mathematics

NF.A.1 Explain why a fraction a/b is equivalent to a fraction (n × a)/(n × b) by using visual fraction models, with attention to how the number and size of the parts differ even though the two fractions themselves are the same size. Use this principle to recognize and generate equivalent fractions. 21.3–5.ES.2 Essential Concept and/or Skill: Adjust to various roles and responsibilities and understand the need to be flexible to change. Students will: • Recognize like fractions by simplifying, graph

Extend understanding of fraction equivalence and ordering. 4.NF.1 Explain why a fraction a/b is equivalent to a fraction (n x a) / (n x b) by using visual fraction models, with attention to how the number and size of the parts differ even though the two fractions themselves are the same size. Use this principle to recognize and generate equivalent fractions. Measureable Objective/Sub-objective(s) to be addressed – How will it be communicated age appropriately? Document the SMART goal (Specific