honors essay 1

Milestone Assignment #4 Choose one of the following assignments to complete: A.Star Light … Star Bright B.Conics Scrapbook Star Light … Star Bright Astronomers can ‘take the temperature’ of a star by measuring the star’s brightness through two filters that pass radiation in the ‘blue’ and ‘visual’ regions of the visible spectrum. From the ratio of these brightnesses, a simple cubic relationship yields the temperature of the star, in Kelvin degrees as follows: ᡆ䙦ᡶ䙧㐄 9391 ㎘ 8350ᡶ ㎗ 5300ᡶ⡰㎘ 1541ᡶ⡱This formula works for star temperatures between 9,000 and 3,500 Kelvin. Problem 1—From the indicated temperature range, what is the domain of this function? Problem 2—The sun has a temperature of 5770 K. What is the corresponding value for ᡶ? Problem 3—To save computation time, an astronomer uses the approximation for ᡆ䙦ᡶ䙧 based on a quadratic formula given by ᠲ䙦ᡶ䙧㐄 1844ᡶ⡰㎘ 6410ᡶ ㎗ 9175. What is the formula that gives the percentage error, ᡂ䙦ᡶ䙧, between ᠲ䙦ᡶ䙧 and ᡆ䙦ᡶ䙧? Problem 4—A what temperature, ᡆ䙦ᡶ䙧, does ᡂ䙦ᡶ䙧 defined in Problem 3 have its maximum absolute percentage error in the domain of ᡶ: ä™°0,1.4ä™±, and what is this value? Conics Scrapbook In order to help you learn the four types of conics (circle, ellipse, hyperbola, and parabola) you are going to complete a project. Complete the following as a Word doc, PowerPoint, Wiki, Glogster (http://www.glogster.com/), video, or similar evidence of learning. Include the following: •Cover Page (with name, date, teacher, and title) •Table of Contents •Part 1: Essential Vocabulary/Definitions •Part 2: Circle (at least 2 pages or equivalent) •Part 3: Parabola (at least 2 pages or equivalent) •Part 4: Ellipse (at least 2 pages or equivalent) •Part 5: Hyperbola (at least 2 pages or equivalent) •Summary Essential Vocabulary/Definitions—Include the following: 1.The word 2.The definition in YOUR OWN WORDS. Do not write the dictionary definition. •Conjugate axis •Directrix •Foci/focus •Major axis/Minor axis •Nappe •Transverse axis •Vertices/ Co-vertices •Axis of symmetry •Asymptote Each conic must include: •The name and basic shape •Formula(s) for the parent function •Two different real-world examples (you can get pictures off of the internet or magazines) oMake sure to highlight the conic shape •Two different math examples oInclude the equation, corresponding graph, and characteristics. oOne of your math examples should be centered at the origin and the other should not. Summary: Answer the following questions in complete sentences. •What are the four conic sections? •What is the one real-world example of each of the four conics? •What did you learn from this project? •What grade would you give yourself and why? These are some resources for conics: http://www.shodor.org/interactivate/activities/Con… Assignment Rubric – Conics Scrapbook Skills Being Assessed Exemplary Achieved Developing Cover Page The cover page includes the student’s name, date, teacher’s name, and title of the scrapbook. (2 points) The cover page includes the student’s name and title, but does not include the other information. (1 point) The cover page does not include any information or is missing. (0 points) Essential Vocabulary and Definitions The vocabulary term is defined in his/her own words and accurately describes the terms. (10 points) Five to eight vocabulary terms are defined in his/her own words. (5–8 points) Less than five vocabulary term is not defined or is not in the student’s own words. (0–4 points) Circle The conic section includes its name, parent graph function, two real world examples, and math examples (with equation, graph, and characteristics). (18 points) The conic section is missing one or two of the components of the conic section. (9–12 points) The conic section is missing three or more components. (0–6 points) Parabola The conic section includes its name, parent graph function, two real world examples, and math examples (with equation, graph, and characteristics). (18 points) The conic section is missing one or two of the components of the conic section. (9–12 points) The conic section is missing three or more components. (0–6 points) Ellipse The conic section includes its name, parent graph function, two real world examples, and math examples (with equation, graph, and characteristics). (18 points) The conic section is missing one or two of the components of the conic section. (9–12 points) The conic section is missing three or more components. (0–6 points) Hyperbola The conic section includes its name, parent graph function, two real world examples, and math examples (with equation, graph, and characteristics). (18 points) The conic section is missing one or two of the components of the conic section. (9–12 points) The conic section is missing three or more components. (0–6 points) Summary The four conic sections are named and explained clearly. A real world example is included. The student states what he/she has learned gives him/herself a grade with the rationale. (8 points) One or two of the previously stated components are missing or incomplete. (4–6 points) Three or four of the previously stated components are missing or incomplete. (0–3 points) Creativity The examples show creative and original thought. (8 points) The examples are original and are well presented. (4–6 points)The examples are neat and show a good amount of thought. (0–3 points)

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