Problem-Based Mathematics I
Total Page:16
File Type:pdf, Size:1020Kb
Load more
Recommended publications
-
Mathematics Calculation Policy ÷
Mathematics Calculation Policy ÷ Commissioned by The PiXL Club Ltd. June 2016 This resource is strictly for the use of member schools for as long as they remain members of The PiXL Club. It may not be copied, sold nor transferred to a third party or used by the school after membership ceases. Until such time it may be freely used within the member school. All opinions and contributions are those of the authors. The contents of this resource are not connected with nor endorsed by any other company, organisation or institution. © Copyright The PiXL Club Ltd, 2015 About PiXL’s Calculation Policy • The following calculation policy has been devised to meet requirements of the National Curriculum 2014 for the teaching and learning of mathematics, and is also designed to give pupils a consistent and smooth progression of learning in calculations across the school. • Age stage expectations: The calculation policy is organised according to age stage expectations as set out in the National Curriculum 2014 and the method(s) shown for each year group should be modelled to the vast majority of pupils. However, it is vital that pupils are taught according to the pathway that they are currently working at and are showing to have ‘mastered’ a pathway before moving on to the next one. Of course, pupils who are showing to be secure in a skill can be challenged to the next pathway as necessary. • Choosing a calculation method: Before pupils opt for a written method they should first consider these steps: Should I use a formal Can I do it in my Could I use -
The Lorenz Curve
Charting Income Inequality The Lorenz Curve Resources for policy making Module 000 Charting Income Inequality The Lorenz Curve Resources for policy making Charting Income Inequality The Lorenz Curve by Lorenzo Giovanni Bellù, Agricultural Policy Support Service, Policy Assistance Division, FAO, Rome, Italy Paolo Liberati, University of Urbino, "Carlo Bo", Institute of Economics, Urbino, Italy for the Food and Agriculture Organization of the United Nations, FAO About EASYPol The EASYPol home page is available at: www.fao.org/easypol EASYPol is a multilingual repository of freely downloadable resources for policy making in agriculture, rural development and food security. The resources are the results of research and field work by policy experts at FAO. The site is maintained by FAO’s Policy Assistance Support Service, Policy and Programme Development Support Division, FAO. This modules is part of the resource package Analysis and monitoring of socio-economic impacts of policies. The designations employed and the presentation of the material in this information product do not imply the expression of any opinion whatsoever on the part of the Food and Agriculture Organization of the United Nations concerning the legal status of any country, territory, city or area or of its authorities, or concerning the delimitation of its frontiers or boundaries. © FAO November 2005: All rights reserved. Reproduction and dissemination of material contained on FAO's Web site for educational or other non-commercial purposes are authorized without any prior written permission from the copyright holders provided the source is fully acknowledged. Reproduction of material for resale or other commercial purposes is prohibited without the written permission of the copyright holders. -
An Arbitrary Precision Computation Package David H
ARPREC: An Arbitrary Precision Computation Package David H. Bailey, Yozo Hida, Xiaoye S. Li and Brandon Thompson1 Lawrence Berkeley National Laboratory, Berkeley, CA 94720 Draft Date: 2002-10-14 Abstract This paper describes a new software package for performing arithmetic with an arbitrarily high level of numeric precision. It is based on the earlier MPFUN package [2], enhanced with special IEEE floating-point numerical techniques and several new functions. This package is written in C++ code for high performance and broad portability and includes both C++ and Fortran-90 translation modules, so that conventional C++ and Fortran-90 programs can utilize the package with only very minor changes. This paper includes a survey of some of the interesting applications of this package and its predecessors. 1. Introduction For a small but growing sector of the scientific computing world, the 64-bit and 80-bit IEEE floating-point arithmetic formats currently provided in most computer systems are not sufficient. As a single example, the field of climate modeling has been plagued with non-reproducibility, in that climate simulation programs give different results on different computer systems (or even on different numbers of processors), making it very difficult to diagnose bugs. Researchers in the climate modeling community have assumed that this non-reproducibility was an inevitable conse- quence of the chaotic nature of climate simulations. Recently, however, it has been demonstrated that for at least one of the widely used climate modeling programs, much of this variability is due to numerical inaccuracy in a certain inner loop. When some double-double arithmetic rou- tines, developed by the present authors, were incorporated into this program, almost all of this variability disappeared [12]. -
Neural Correlates of Arithmetic Calculation Strategies
Cognitive, Affective, & Behavioral Neuroscience 2009, 9 (3), 270-285 doi:10.3758/CABN.9.3.270 Neural correlates of arithmetic calculation strategies MIRIA M ROSENBERG -LEE Stanford University, Palo Alto, California AND MARSHA C. LOVETT AND JOHN R. ANDERSON Carnegie Mellon University, Pittsburgh, Pennsylvania Recent research into math cognition has identified areas of the brain that are involved in number processing (Dehaene, Piazza, Pinel, & Cohen, 2003) and complex problem solving (Anderson, 2007). Much of this research assumes that participants use a single strategy; yet, behavioral research finds that people use a variety of strate- gies (LeFevre et al., 1996; Siegler, 1987; Siegler & Lemaire, 1997). In the present study, we examined cortical activation as a function of two different calculation strategies for mentally solving multidigit multiplication problems. The school strategy, equivalent to long multiplication, involves working from right to left. The expert strategy, used by “lightning” mental calculators (Staszewski, 1988), proceeds from left to right. The two strate- gies require essentially the same calculations, but have different working memory demands (the school strategy incurs greater demands). The school strategy produced significantly greater early activity in areas involved in attentional aspects of number processing (posterior superior parietal lobule, PSPL) and mental representation (posterior parietal cortex, PPC), but not in a numerical magnitude area (horizontal intraparietal sulcus, HIPS) or a semantic memory retrieval area (lateral inferior prefrontal cortex, LIPFC). An ACT–R model of the task successfully predicted BOLD responses in PPC and LIPFC, as well as in PSPL and HIPS. A central feature of human cognition is the ability to strategy use) and theoretical (parceling out the effects of perform complex tasks that go beyond direct stimulus– strategy-specific activity). -
Inequality Measurement Development Issues No
Development Strategy and Policy Analysis Unit w Development Policy and Analysis Division Department of Economic and Social Affairs Inequality Measurement Development Issues No. 2 21 October 2015 Comprehending the impact of policy changes on the distribu- tion of income first requires a good portrayal of that distribution. Summary There are various ways to accomplish this, including graphical and mathematical approaches that range from simplistic to more There are many measures of inequality that, when intricate methods. All of these can be used to provide a complete combined, provide nuance and depth to our understanding picture of the concentration of income, to compare and rank of how income is distributed. Choosing which measure to different income distributions, and to examine the implications use requires understanding the strengths and weaknesses of alternative policy options. of each, and how they can complement each other to An inequality measure is often a function that ascribes a value provide a complete picture. to a specific distribution of income in a way that allows direct and objective comparisons across different distributions. To do this, inequality measures should have certain properties and behave in a certain way given certain events. For example, moving $1 from the ratio of the area between the two curves (Lorenz curve and a richer person to a poorer person should lead to a lower level of 45-degree line) to the area beneath the 45-degree line. In the inequality. No single measure can satisfy all properties though, so figure above, it is equal to A/(A+B). A higher Gini coefficient the choice of one measure over others involves trade-offs. -
SRTC Emergency Operations Plan
Emergency Operations Plan (EOP) Revised 10/7/15 TABLE OF CONTENTS I. Promulgation Statement .......................................................................................................3 II. Introduction ..........................................................................................................................4 III. Basic Plan.............................................................................................................................6 Purpose, Scope, Situation Overview, and Assumptions ..........................................6 Concept of Operations .............................................................................................9 Organization and Assignment of Responsibilities .................................................11 Direction, Control, and Coordination ....................................................................16 Information Collection and Dissemination ............................................................17 Communication…………………………………………………………………..17 Training, Drills, and Exercises…………………………………………………...17 Administration, Finance, and Logistics .................................................................17 Plan Development and Maintenance .....................................................................19 Authorities and References ....................................................................................21 IV. System Response Protocols………………………………………………………………21 A. Secure in Place .......................................................................................................21 -
Research Article ANALYSIS INTEGRITY of the PATTERSON-GIMLIN FILM IMAGE
The RELICT HOMINOID INQUIRY 2:41-80 (2013) Research Article ANALYSIS INTEGRITY OF THE PATTERSON-GIMLIN FILM IMAGE Bill Munns1*, Jeff Meldrum2 1Blue Jay, CA 92317 2Department of Biological Sciences, Idaho State University, 921 S. 8th Ave, Pocatello, ID 83209 ABSTRACT. The Patterson-Gimlin Film (PGF), which depicts a walking figure suggestive of a cryptid hominoid species known as sasquatch (or Bigfoot), has been studied and debated since its filming in 1967. One issue not analyzed conclusively is the suspicion that the film itself has been somehow tampered with or otherwise edited to hide data that may point to a hoax. The integrity and quality of the film image have also been challenged and characterized as unreliable. A comprehensive study of these issues of contention has determined that the film was not altered or otherwise tampered with for deceptive intent, and that the image quality is sufficient for factual analysis of the nature of the subject as depicted. KEY WORDS: Bigfoot, sasquatch, Bluff Creek, cinematography, photogrammetry INTRODUCTION 2. What is the resolution of the camera original film stock and what level of image Null Hypothesis: The original Patterson- detail can be relied upon? Gimlin Film (PGF) has either been altered, or 3. If copies are studied in the absence of the its image quality is insufficient for analysis, or camera original, how were the copies both, invalidating its evidentiary reliability for made and how does the copy process alter conclusively determining whether it depicts a the film image data? real and novel biological entity. 4. Is the film in focus? 5. -
AP Physics 1: Summer Assignment- Part 1 AP Physics 1: Summer Assignment Welcome to AP Physics 1! Attached Is the Summer Assignment, Which Consists of Two Parts
AP Physics 1: Summer Assignment- Part 1 AP Physics 1: Summer Assignment Welcome to AP Physics 1! Attached is the summer assignment, which consists of two parts. The first part is an easy read about the fundamental physics concepts and processes we will be applying throughout the upcoming school year. There are a few follow up questions to review the reading. The second part of the summer assignment sets the foundation for the first unit we will be focusing on— Kinematics, which is the study of an object’s motion. Throughout the one dimension kinematics chapter you will find many examples of experiments, conceptual and quantitative questions, as well as, real-life application problems. Do not memorize concepts as you go, instead, make sense of the concepts and quantitative reasoning. Use the diagrams, graphs, and example problems throughout the chapter to fully understand the written text. For the experiment tables throughout the chapter, you will see QR codes in the upper right hand corner of the tables. Using a QR scanner app on a smartphone (free apps for this purpose are available on iPhones and Androids), or a QR scanner website and webcam, you can scan the code and get access to the corresponding experimental videos. These experimental videos are there for you to visualize the experiments and make sense of the patterns discussed in the text. You are expected to complete all the problems for the kinematics unit. These problems combine conceptual and quantitative concepts through open-ended, multiple-choice, and multi-step problems. You will be responsible for explaining your reasoning behind problems and how you completed them. -
Banner Human Resources and Position Control / User Guide
Banner Human Resources and Position Control User Guide 8.14.1 and 9.3.5 December 2017 Notices Notices © 2014- 2017 Ellucian Ellucian. Contains confidential and proprietary information of Ellucian and its subsidiaries. Use of these materials is limited to Ellucian licensees, and is subject to the terms and conditions of one or more written license agreements between Ellucian and the licensee in question. In preparing and providing this publication, Ellucian is not rendering legal, accounting, or other similar professional services. Ellucian makes no claims that an institution's use of this publication or the software for which it is provided will guarantee compliance with applicable federal or state laws, rules, or regulations. Each organization should seek legal, accounting, and other similar professional services from competent providers of the organization's own choosing. Ellucian 2003 Edmund Halley Drive Reston, VA 20191 United States of America ©1992-2017 Ellucian. Confidential & Proprietary 2 Contents Contents System Overview....................................................................................................................... 22 Application summary................................................................................................................... 22 Department work flow................................................................................................................. 22 Process work flow...................................................................................................................... -
Major and Minor Transnationalism in Yoko Inoue's
asian diasporic visual cultures and the americas 6 (2020) 27-47 brill.com/adva Major and Minor Transnationalism in Yoko Inoue’s Art Yasuko Takezawa AQ1 Kyoto University, Kyoto, Japan takezawa.yasuko.2u@ kyoto-u.jp Abstract This article elucidates major transnationalism and minor transnationalism through an analysis of works by New York-based Japanese artist Yoko Inoue (b. 1964). Inoue en- gages in social criticism through varied media such as ceramics, installations, and per- formance art. Her works demonstrate minor-transnationalism observed in the rela- tionships she has built with other transmigrants and minoritized individuals over such issues as xenophobia and racism after 9/11, and Hiroshima/Nagasaki and related con- temporary nuclear issues. Inoue also addresses the disparities in collective memory and narratives between Japan and the US as well as socio-economic inequalities be- tween nation-states and the movement of people/goods/money within Trans-Pacific power dynamics, all of which illustrates major transnationalism in the Trans-Pacific. Keywords transnationalism – Hiroshima – transmigrants – 9/11 – Japan – performance art – Sherman E. Lee – General Headquarters (ghq) In their book Minor Transnationalism, Françoise Lionnet and Shu-mei Shih de- fine minor transnationalism as the horizontal relationship between transmi- grants and/or between minoritized people.1 Meanwhile Janet Alison Hoskins and Viet Thanh Nguyen discuss major-transnationalism in the Trans-Pacific, in reference to the economic, political, and military contact -
SOLVING ONE-VARIABLE INEQUALITIES 9.1.1 and 9.1.2
SOLVING ONE-VARIABLE INEQUALITIES 9.1.1 and 9.1.2 To solve an inequality in one variable, first change it to an equation (a mathematical sentence with an “=” sign) and then solve. Place the solution, called a “boundary point”, on a number line. This point separates the number line into two regions. The boundary point is included in the solution for situations that involve ≥ or ≤, and excluded from situations that involve strictly > or <. On the number line boundary points that are included in the solutions are shown with a solid filled-in circle and excluded solutions are shown with an open circle. Next, choose a number from within each region separated by the boundary point, and check if the number is true or false in the original inequality. If it is true, then every number in that region is a solution to the inequality. If it is false, then no number in that region is a solution to the inequality. For additional information, see the Math Notes boxes in Lessons 9.1.1 and 9.1.3. Example 1 3x − (x + 2) = 0 3x − x − 2 = 0 Solve: 3x – (x + 2) ≥ 0 Change to an equation and solve. 2x = 2 x = 1 Place the solution (boundary point) on the number line. Because x = 1 is also a x solution to the inequality (≥), we use a filled-in dot. Test x = 0 Test x = 3 Test a number on each side of the boundary 3⋅ 0 − 0 + 2 ≥ 0 3⋅ 3 − 3 + 2 ≥ 0 ( ) ( ) point in the original inequality. Highlight −2 ≥ 0 4 ≥ 0 the region containing numbers that make false true the inequality true. -
Convict Footprints on the Old Great North Road
April 29 - May 15, 2016 Vol. 33 - Issue 9 CONVICT FOOTPRINTS ON THE OLD GREAT NORTH ROAD When: Sat 07 May 2016 & Sun 08 May Selected Dates until Sun 23 Oct 2016 More information http://convictfootprints.com.au/ This is an interactive play conducted on the convict built Old Great North Road in Dharug National Park beside the Hawkesbury River. Audiences are taken on a journey up the road and learn about it from soldiers, convicts and officials. Sandstone LOCAL NEWSPAPER FOR SALE It’s time to find a new owner for the Hills to Hawkesbury Living Magazine. Sales MARK VINT This magazine has been running for over 33 years providing a TV guide, Buy Direct From the Quarry 9651 2182 local history, news and events to a dedicated local community readership. 270 New Line Road The current fortnightly production is run using up-to-date technology and 9652 1783 Dural NSW 2158 has a cost effective, efficient workflow. This magazine is ideally suited to Handsplit [email protected] an owner/operator but could easily be run by a community group. We have Random Flagging $55m2 ABN: 84 451 806 754 thoroughly enjoyed running this magazine but it is time to find it a new 113 Smallwood Rd Glenorie WWW.DURALAUTO.COM home as we are moving to pastures new. Enquiries to Diana 0408 011 193. AIRPORT & CRUISE SHIP TRANSFERS Competitive Pricing, Quality Service. After 20+ years servicing the Hills District, Shuttlz believes it is the longest for in a shuttle is quality, punctuality, reliability, and peace of mind. consistently running shuttle business in the area, and is now UNDER With a LATE MODEL fleet of vehicles, clean and well presented, NEW MANAGEMENT.