Each subject and grade level presents unique opportunities for and challenges to planning for differentiation. Differentiation lets some students out of standards. Level of differentiation refers to the degree to which a person can think and act for self while in contact with emotionally charged issues. Some reflections on the state of the field james n. Example bring the existing power down and use it to multiply. 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. Lecture notes on di erentiation university of hawaii. Ed443572 20000800 differentiation of instruction in the. If pencil is used for diagramssketchesgraphs it must be dark hb or b. Madas question 1 for each of the following implicit relationships, find an expression for dy dx, in terms of x and y. 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.
The derivative of fat x ais the slope, m, of the function fat the point x a. Differentiation pure mathematics alevel revision revision maths. Differentiation between 5000level and 6000level courses. 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.
Most people can do this easily when their stress level is low. Differentiation from first principle past paper questions. Below level differentiation above level differentiation reading and discussion tips. From the dropdown menu choose save target as or save link as to start the download. The phrase a unit power refers to the fact that the power is 1. Selfdifferentiation and why it matters in families and. Differentiation is better for or easier in some grade levels or subjects than others. Implicit differentiation mctyimplicit20091 sometimes functions are given not in the form y fx but in a more complicated form in which it is di.
It is the building ground for the emergence of the growing self. Differentiation is primarily an approach to teaching certain groups of students e. If a function is differentiable at all points in its domain i. To gain a better sense of how far you have come in expressing your individuality and differentiating from others, examine the way you operate. Try the ones that best apply to you, depending on factors such as student age. It also refers to the degree to which a person can discern between thoughts and feelings. 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. Answer all questions and ensure that your answers to parts of questions are clearly labelled answer. Product differentiation being the most commonly used one of these two strategic typologies spencer, joiner, and salmon, 2009. The slope of the function at a given point is the slope of the tangent line to the function at that point. To fill this gap, a selfreport instrument, the differentiation of self inventory dsi has been developed. Differentiation is giving some students low level tasks and other students high level tasks. Dec 18, 2018 michael porter, a professor at harvard business school, is widely regarded as the father of corporate strategy. A social affair, introduce students to the concept of marketing.
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. Oct 06, 2017 two worksheets on tangents and normals, starts off standard, the difficulty increases, later questions can be challenging. 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. Differentiation calls for respectful tasks that respond to students readiness, interest, and learningpreferences. Differentiation enables teachers to go beyond the question, how can i make sure a student masters a body of. Differentiation requires the teacher to vary their approaches in order to accommodate various learning styles, ability levels and interests.
If you are new to university level study, find out more about the types of qualifications we offer, including. According to porter, there are three types of business level strategy any organization can pursue to gain an advantage over its competitors. Fill in the boxes at the top of this page with your name. 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.
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. As murphy and brownell 1985 stated, basic level categories are in general more distinctive than subordinate categories. Differentiation worksheets core 1 level teaching resources. Providing study notes, tips, and practice questions for students preparing for their o level or upper secondary examinations. Examples of differentiating products at the elementary level include the following. 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. 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. Asa level mathematics differentiation instructions use black ink or ballpoint pen. Differentiation is for all grade levels and subjects. This session provides a brief overview of unit 1 and describes the derivative as the slope of a tangent line. Reading differentiation 2 abstract differentiated instruction is a way to meet the instructional needs of a ll students. Available in a condensed and printable list for your desk, you can use 16 in most classes and the last four for math lessons.
This is a technique used to calculate the gradient, or slope, of a graph at di. Whilst these questions are predominantly for the ocr and edexcel exam boards, due to the fact that. These are cost leadership, differentiation and focus. Differentiation alevel maths revision looking at calculus and an introduction to differentiation, including definitions, formulas and examples. The basic rules of differentiation, as well as several. Differentiation is giving some students lowlevel tasks and other students highlevel tasks. These legendary papers were the essence of many years of compilation and were originally accessible only to students of our tuition class. Guidance on the pay differentiation certification criterion. Differentiation is the means by which all students. Use the same difference of two squares idea as seen in worked example 16. But theres a parallel logic in differentiation that functions at a deeper level. According to porter, there are three types of businesslevel strategy any organization can pursue to gain an advantage over its competitors. 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. It is based on area of interest and not reading level.
Treiman we believe the various contributions to this volume do justice to their authors mentor, john c. To help create lessons that engage and resonate with a diverse classroom, below are 20 differentiated instruction strategies and examples. Students are met at their academic levels rather than given work that is above or below their level. This means that the revision process can start earlier, leaving you better prepared to tackle whole exam papers closer to the exam. For example, right now i have literature circles based on andrew clements books. 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. A level maths exam questions by topic ocr, mei, edexcel, aqa. As always, detailed solutions are provided to every question. When preparing for a level maths exams, it is extremely useful to tackle exam questions on a topicbytopic basis.
For example, it allows us to find the rate of change of velocity with respect to time which is acceleration. Definitions anchor activities provide student with relevant, meaningful activities that can be completed independently. Differentiation differentiation allows us to find rates of change. Below level differentiation above level differentiation.
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. Product differentiation is a marketing process that showcases the differences between products. Differentiation looks to make a product more attractive by contrasting its unique qualities with. The volume v cm3 of a box, of height x cm, is given by v 4x5. Even though differentiation may appear to be something that is easily achieved, there are some who decide otherwise. Levels of differentiation are you able to express your differences from others while still feeling caring and connected to them. Differentiation exam questions from ocr mei 4752 unless otherwise stated q1, jan 2006, q6 q2, jan 2007, q1 q3, jan 2009, q7. As a level mathematics differentiation instructions use black ink or ballpoint pen. These first two marks may be implied by a correct differentiation at the end. 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. A resource for classroom teachers deirdre kelly, lake sybelia elementary september, 2011 page 4 gifted differentiation. Differentiation 1 tangents and normals teaching resources. Differentiation the best o level revision resource.
Levels of product differentiation economics web institute. Answer all questions and ensure that your answers to parts of questions are clearly labelled. I give a quick book talk on each book and then dismiss students to choose a literature circle to join if they are interested. You can find notes and exam questions for additional math, elementary math, physics, biology and chemistry. Home courses mathematics single variable calculus 1. Tips and notes for english, general paper, and composition writing are also provided. 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. The curriculum advocates the use of a broad range of active learning methodologies such as use of the environment, talk and. However, much personal effort is necessary to increase differentiation of self. Differentiating from first principles past exam questions 1. Learn differential calculus for freelimits, continuity, derivatives, and derivative applications. During development, it can be understood to be the result of a gene regulatory network. Michael porter, a professor at harvard business school, is widely regarded as the father of corporate strategy.
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. Ask students to share what they already know about marketing, including the types of media. At higher levels of differentiation, people maintain separate, solid selves under considerable stress and anxiety. So differentiated instruction is a logical way to achieve the goal of content acquisition. Differentiation techniques summary a level mathematics.
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