Differentiation is better for or easier in some grade levels or subjects than others. Jul 22, 2019 a level arithmetic sequences a level binomial expansion a level differentiation a level factor and remainder theorem a level fibonacci sequences a level geometric sequences a level integration a level logs a level mechanics a level midordinate rule a level partial fractions a level point of inflection a level. If pencil is used for diagramssketchesgraphs it must be dark hb or b. Differentiating from first principles past exam questions 1.
Differentiation is giving some students lowlevel tasks and other students highlevel tasks. The approach can support control flow, nesting, mutation, recursion, data structures, higherorder functions, and other language constructs, and the output is given to an existing. Differentiation strategy, as the name suggests, is the strategy that aims to distinguish a product or service, from other similar products, offered by the competitors in the market. In the space provided write down the requested derivative for each of the following expressions. Level of differentiation refers to the degree to which a person can think and act for self while in contact with emotionally charged issues. Differentiation is the means by which all students.
Differentiation techniques summary a level mathematics. At higher levels of differentiation, people maintain separate, solid selves under considerable stress and anxiety. Even though differentiation may appear to be something that is easily achieved, there are some who decide otherwise. Lecture notes on di erentiation a tangent line to a function at a point is the line that best approximates the function at that point better than any other line. Selfdifferentiation and why it matters in families and. Below level differentiation above level differentiation reading and discussion tips. This paper presents reversemode algorithmic differentiation ad based on source code transformation, in particular of the static single assignment ssa form used by modern compilers. For example, it allows us to find the rate of change of velocity with respect to time which is acceleration. Michael porter, a professor at harvard business school, is widely regarded as the father of corporate strategy.
According to porter, there are three types of business level strategy any organization can pursue to gain an advantage over its competitors. A level arithmetic sequences a level binomial expansion a level differentiation a level factor and remainder theorem a level fibonacci sequences a level geometric sequences a level integration a level logs a level mechanics a level midordinate rule a level partial fractions a level point of inflection a level quadratic sequences a level rational functions a level solving equations solving exponential equations a level solving equations solving logarithmic. For example, right now i have literature circles based on andrew clements books. Differentiation is a genetic like emotional and cognitive potential that responds to changing conditions.
Ed443572 20000800 differentiation of instruction in the. It is based on area of interest and not reading level. This means that the revision process can start earlier, leaving you better prepared to tackle whole exam papers closer to the exam. Differentiation between 5000 and 6000 level courses approved by graduate council, april 21, 1994 revised, april 24, 2017 the 5000 level course the 5000 level course should be a graduate course with content manageable by the graduate student who has completed the b. The derivative of fat x ais the slope, m, of the function fat the point x a. Therefore to differentiate x to the power of something you bring the power down to in front of the x, and then reduce the power by one.
These are cost leadership, differentiation and focus. Tips and notes for english, general paper, and composition writing are also provided. Differentiation alevel maths revision looking at calculus and an introduction to differentiation, including definitions, formulas and examples. Oct 30, 2015 a selection of resources on basic differentiation. Most people can do this easily when their stress level is low. Differentiation lets some students out of standards.
It entails development of a product or service, that is unique for the customers, in terms of product design, features, brand image, quality, or customer service. Differentiation exam questions from ocr mei 4752 unless otherwise stated q1, jan 2006, q6 q2, jan 2007, q1 q3, jan 2009, q7. Examples of differentiating products at the elementary level include the following. The curriculum advocates the use of a broad range of active learning methodologies such as use of the environment, talk and. Asa level mathematics differentiation instructions use black ink or ballpoint pen. Differentiation requires the teacher to vary their approaches in order to accommodate various learning styles, ability levels and interests. The most challenging questions from the various top school mathematics preliminary examinations were collected, adapted and compiled topically into these legendary sets of question papers. Differentiation takes the form of grouping flexibly, for example, by a varying from whole class, to collaborative groups, to small groups, to individuals, and b providing incentives to learn based on a students individual interests and current level of understanding. Answer all questions and ensure that your answers to parts of questions are clearly labelled. Differentiation from first principles, differentiation, tangents and normals, uses of differentiation, the second derivative, integration, area under a curve exponentials and logarithms, the trapezium rule, volumes of revolution, the product and quotient rules, the chain rule, trigonometric functions, implicit differentiation, parametric.
Differentiation worksheets core 1 level teaching resources. Learn differential calculus for freelimits, continuity, derivatives, and derivative applications. Providing study notes, tips, and practice questions for students preparing for their o level or upper secondary examinations. Differentiation is giving some students low level tasks and other students high level tasks. So differentiated instruction is a logical way to achieve the goal of content acquisition. Differentiation between 5000level and 6000level courses. Differentiation from first principle past paper questions. Whilst these questions are predominantly for the ocr and edexcel exam boards, due to the fact that.
Implicit differentiation mctyimplicit20091 sometimes functions are given not in the form y fx but in a more complicated form in which it is di. Differentiation the best o level revision resource. Differentiation calls for respectful tasks that respond to students readiness, interest, and learningpreferences. Following completion of this free openlearn course, introduction to differentiation, as well as being able to differentiate, you should find that you are increasingly able to communicate mathematical ideas and apply your knowledge and understanding to mathematics in everyday life. Each subject and grade level presents unique opportunities for and challenges to planning for differentiation. If a function is differentiable at all points in its domain i. It concludes by stating the main formula defining the derivative. As the level of differentiation increases, the discomfort and less effective functioning associated with fusion is partially resolved or relieved. As a level mathematics differentiation instructions use black ink or ballpoint pen. The slope of the function at a given point is the slope of the tangent line to the function at that point.
Levels of product differentiation economics web institute. Answer all questions and ensure that your answers to parts of questions are clearly labelled answer. Differentiation pure mathematics alevel revision revision maths. This session provides a brief overview of unit 1 and describes the derivative as the slope of a tangent line. Oct 06, 2017 two worksheets on tangents and normals, starts off standard, the difficulty increases, later questions can be challenging. A differentiation strategy involves the firm creating a productservice, which is considered unique in some aspect that the customer values because the customers needs are satisfied.
As always, detailed solutions are provided to every question. These first two marks may be implied by a correct differentiation at the end. If you are new to university level study, find out more about the types of qualifications we offer, including. It is the building ground for the emergence of the growing self. Treiman we believe the various contributions to this volume do justice to their authors mentor, john c. Product differentiation being the most commonly used one of these two strategic typologies spencer, joiner, and salmon, 2009. Madas question 1 for each of the following implicit relationships, find an expression for dy dx, in terms of x and y.
I give a quick book talk on each book and then dismiss students to choose a literature circle to join if they are interested. A resource for classroom teachers deirdre kelly, lake sybelia elementary september, 2011 page 4 gifted differentiation. But theres a parallel logic in differentiation that functions at a deeper level. It also refers to the degree to which a person can discern between thoughts and feelings. As murphy and brownell 1985 stated, basic level categories are in general more distinctive than subordinate categories. The volume v cm3 of a box, of height x cm, is given by v 4x5. To help create lessons that engage and resonate with a diverse classroom, below are 20 differentiated instruction strategies and examples. These legendary papers were the essence of many years of compilation and were originally accessible only to students of our tuition class. Reading differentiation 2 abstract differentiated instruction is a way to meet the instructional needs of a ll students.
Use the same difference of two squares idea as seen in worked example 16. Students are met at their academic levels rather than given work that is above or below their level. To fill this gap, a selfreport instrument, the differentiation of self inventory dsi has been developed. You can find notes and exam questions for additional math, elementary math, physics, biology and chemistry. This is a technique used to calculate the gradient, or slope, of a graph at di. Try the ones that best apply to you, depending on factors such as student age. Differentiation differentiation allows us to find rates of change. Definitions anchor activities provide student with relevant, meaningful activities that can be completed independently. According to porter, there are three types of businesslevel strategy any organization can pursue to gain an advantage over its competitors. Available in a condensed and printable list for your desk, you can use 16 in most classes and the last four for math lessons. The basic rules of differentiation, as well as several. Differentiation is for all grade levels and subjects.
Ask students to share what they already know about marketing, including the types of media. Levels of product differentiation in the global mobile phones market the sixth product level called compliant product is a connecting element between the physical product characteristics and the strategy of the producer company stanimir andonov the article discusses the differentiation among the product offers of companies working in the. Just as working with a personal coach can take your training to the next level, working with a specialist can help deepen your selfdifferentiation as well. To gain a better sense of how far you have come in expressing your individuality and differentiating from others, examine the way you operate.
Product differentiation is a marketing process that showcases the differences between products. Cell differentiation is thus, simply a transition of a cell from one type of cell to another and involves a switch from one pattern of gene expression to another. Differentiation is primarily an approach to teaching certain groups of students e. From the dropdown menu choose save target as or save link as to start the download. Dec 18, 2018 michael porter, a professor at harvard business school, is widely regarded as the father of corporate strategy. Example bring the existing power down and use it to multiply.
The differentiation occurs in the products completed for the readings, such as. Differentiation looks to make a product more attractive by contrasting its unique qualities with. Differentiation through scaffolding and support 1 the differentiated assignment assessment template 2 planning the lesson 34 selecting the language objectives 4 using the differentiated assignment template to support ells 4 completed differentiated assignment template 5 wida focus on differentiation part 1 introduction english language. When preparing for a level maths exams, it is extremely useful to tackle exam questions on a topicbytopic basis. Levels of differentiation are you able to express your differences from others while still feeling caring and connected to them. The phrase a unit power refers to the fact that the power is 1. Guidance on the pay differentiation certification criterion. A level maths exam questions by topic ocr, mei, edexcel, aqa. During development, it can be understood to be the result of a gene regulatory network. Fill in the boxes at the top of this page with your name.
Differentiation 1 tangents and normals teaching resources. Lecture notes on di erentiation university of hawaii. Differentiation enables teachers to go beyond the question, how can i make sure a student masters a body of. Below level differentiation above level differentiation.
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