Unified English Braille Training Manual: Extension Mathematics Revision 4 © 2020 North Rocks Press NextSense 361-365 North Rocks Road North Rocks NSW 2151 Australia https://www.nextsense.org.au/ This work is licensed under the Creative Commons Attribution-NonCommercial- NoDerivatives 4.0 International Licence. • Attribution: You must give appropriate credit to the author • Non-Commercial: You must not use the material for commercial purposes • No derivatives: If you remix, transform or build upon the material, you may not distribute the modified material. To view a copy of this licence, visit https://creativecommons.org/licenses/by-nc-nd/4.0/ or send a letter to Creative Commons, 171 Second Street, Suite 300, San Francisco, California 94105 USA ISBN 978-0-949050-07-6 NextSense Institute is Australia’s leading centre for research and professional studies in the field of education for children with sensory disabilities; offering webinars, short courses, and degree programs for parents, carers, educators, and health professionals. NextSense Institute is committed to providing high-quality teaching and learning opportunities. Our programs are conducted by leading national and international experts for education and health professionals who support people who are deaf, hard of hearing, blind or have low vision. 2 Table of Contents Foreword .............................................................................................................................. 6 Contributors ......................................................................................................................... 8 Lesson 1 - Revision ............................................................................................................. 9 Grade 1 Mode .................................................................................................................. 9 Grade 1 Symbol Indicator ........................................................................................... 10 Termination of Grade 1 Mode ..................................................................................... 11 Numeric Mode ............................................................................................................ 11 Termination of Numeric mode .................................................................................... 12 Standing Alone Rule ................................................................................................... 12 Grade 1 Word Indicator .............................................................................................. 13 Grade 1 Passage Indicator ......................................................................................... 14 Grade 1 Passage Terminator ..................................................................................... 14 Grade 1 Passage Indicator and Terminator on lines of their own .............................. 14 Shape Indicators ............................................................................................................ 15 Transcriber defined shapes ........................................................................................ 16 Use of the shape termination indicator ....................................................................... 16 Omissions in technical expressions ............................................................................ 17 Fractions ........................................................................................................................ 17 Simple numeric fraction .............................................................................................. 17 General Fractions ....................................................................................................... 18 Miscellaneous Symbols .................................................................................................. 21 Superscripts and Subscripts .......................................................................................... 25 Definition of an Item .................................................................................................... 25 Exercise 1 ...................................................................................................................... 29 Extra Exercise 1 ............................................................................................................. 29 Lesson 2 - Functions ......................................................................................................... 31 Trigonometric functions .............................................................................................. 31 Exercise 2 ...................................................................................................................... 35 Review Exercise 2 .......................................................................................................... 35 Lesson 3 - Modifiers, Bars and Dots .................................................................................. 37 3 Modifiers ......................................................................................................................... 37 Modifiers directly above or below ............................................................................... 37 Definition of an Item .................................................................................................... 37 Braille Grouping Symbols ........................................................................................... 38 Bars ................................................................................................................................ 38 Two indicator bars applied to the same item .............................................................. 39 Dots ................................................................................................................................ 39 Recurring decimal: ...................................................................................................... 40 Derivatives of x ........................................................................................................... 40 Derivatives of x ........................................................................................................... 40 Exercise 3 ...................................................................................................................... 43 Review Exercise 3 .......................................................................................................... 43 Lesson 4 - Modifiers, Arrows and Limits ............................................................................ 45 Modifiers ......................................................................................................................... 45 Modifiers directly above or below ............................................................................... 45 Definition of an Item .................................................................................................... 45 Braille Grouping Symbols ........................................................................................... 46 Arrows ............................................................................................................................ 47 Simple Arrows ............................................................................................................ 47 Arrow symbol directly above and below ..................................................................... 48 The Limit Function .......................................................................................................... 49 Exercise 4 ...................................................................................................................... 50 Review Exercise 4 .......................................................................................................... 51 Lesson 5 - Greek Letters (continued) and Probability ....................................................... 52 Greek Letters ................................................................................................................. 52 Probability ...................................................................................................................... 54 Venn Diagrams ........................................................................................................... 55 Complementary Events .............................................................................................. 56 Independent Events .................................................................................................... 56 Dependent Events ...................................................................................................... 57 Exercise 5 ...................................................................................................................... 59 4 Review Exercise 5 .......................................................................................................... 59 Lesson 6 - Calculus: Differentiation ................................................................................... 61 Exercise 6 ...................................................................................................................... 64 Review Exercise 6 .......................................................................................................... 64 Lesson 7 - Calculus: Integration .......................................................................................
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