The Impact of UEB in Nemeth v UEB

The Impact of UEB in Nemeth v UEB INDICATORS AND SYMBOLS v THE REPRESENTATION OF THE NEMETH CODE IN UEB v TACTILE GRAPHICS IN NEMETH CODE

T and P Page Material v. Title Page v. Special Symbols Page v. Transcriber’s Notes Page v. Table of Contents Page

Title /Subtitle Authors City/ State Website Publisher

Copyright Information ISBN Information Printing History

Capitals Passage Indicator , , , Nemeth Mode Eye Candy Omitted Material Grade 1 Symbol Indicator ; Computer Notation

Nemeth Terminator UEB Capitals Passage Indicator Open Nemeth Computer Notation Indicator Non-use of Grade 1 symbol indicator Terminates contractions the Capitals UEB Numeric Mode Passage v Numeric spaces v Punctuation and Numbers Identifying the Volume as a UEB Transcription Non use of the Grade 1 symbol indicator

UEB SPECIAL SYMBOLS ROOT PREFIX

Dot Locator for “Mention” Capitals Passage Indicator Capitals Terminator

, , TRANSCRIB]'S , , NOTES , MA!MATICS >E TRANSCRIB$ AC TO. 7, ! , NEME? , BRL , CODE = , MA!MATICS & , SCI; E , NOTA; N 1 #AIGB , REVI. N 1 #BJJG-#BJAE , UPDATES 4. ' , ! , PROVI. NAL , GUID. E = , TRANSCRIP; N , US+ ! , NEME? , CODE )9 , , UEB , 3 TEXTS 1 , APPROV$ , NOVEMB] #BJAD 1 IS US$ TO 5 CAPSULATE ANY MA!MATICAL =MULA 1 9 CLUD+ FRAG; T>Y EXPRES. NS 4 , SEE , SPECIAL , SYMBOLS PAGE = , NEME? , CODE SWIT* 9 DICATORS 4 , NO 3 TRAC; NS >E US$ 9 , NEME? MODE 4 , TO AVOID USE ( SWIT* 9 DICATORS : 5 A S+LE ^W /&+ AL"O O 3 URS 2 T TWO MA? EXPRES. NS 1 A "O-^W SWIT* 9 DICATOR 1 DOTS "<#F 1 #C">1 IS US$ 9 , NEME? MODE TO 9 DICATE ! FOLL[+ ^W IS 9 , , UEB 4 , TACTILE GRAPHICS >E DESIGN$ & PRODUC$ AC TO. 7, GUIDEL 9 ES & , /&>DS = , TACTILE , GRAPHICS 1 #BJAJ 4. ' T#E Use of Nemeth Code Application of Nemeth in UEB Noting use of special symbols Use of Tactile Guidelines

TABLE OF CONTENTS No Grade 1 Symbol indicator , , TEXAS , , MA!MATICS I-III , TABLE ( , 3 T 5 TS , BASIC , REVIEW """"""""""" #b Upper cell numbering , *apt] #A , OP]A; NS , sec; n #A 4 A , , , ORD] ( OP]A; NS, ' """" #ab #A 4 A 4 A , VISUALIZ+ , 9=MA; N

UEB Computer Notation üElectronic Addresses v Numeric Mode v Capitalization v Use/Non Use of Contractions v Grade 1 Indicator/Terminator

ELECTRONIC ADDRESSES TEXAS. ELintel. Math 100=APP. com , , TEXAS 4, E, L 9 TEL 4, MA? #AJJ"7, , APP 4 COM www. Elliot. Lintel. Braille. com WWW 4, ELLIOT, L 9 TEL, BRAILLE 4 COM

ELECTRONIC ADDRESSES (cont. ) www. a 2+b 2=c 2//pythagorean@MATHWHIZ. com WWW 4 A#B"6 B#B"7 C#B_/_/; 'PY? AGOR 1 N@A" , , MA? : IZ 4 COM Grade 1 Equal sign Terminator www. Mt. View/polynomials 76528. doc WWW 4, MT 4, VIEW_/POLYNOMIALS#GFEBH 4; DOC Continuation Indicator

Nemeth Switch Indicators ü Open Nemeth Indicator _% ü Nemeth Terminator _: v Formats v Author’s Comments v Inside Nemeth Switch Indicators v One-Word Switch Indicator v English Letter Indicator v Narrative Text

EMBEDDED , Y c calculate ! volume 9 tegral ( _% , T. K XYZ~2 _: By do+ ! 9 tegrals 9 any ord]4

DISPLAYED MATERIAL Use the Distributive Property to solve equations that contain parentheses. The Distributive Property starts by removing the parentheses in a variable expression. a(b+c) = ab+ac , USE ! ^1, 4 TRIBUTIVE ^1, PROP]TY to SOLVE EQUa; NS T 3 TA 9 P>5!SES 4 , ! , 4 TRIBUTIVE , PROP]TY />TS by REMOV+ ! P>5!SES 9 A V>IABLE EXPRES. N 4 _% A(B+C). K AB+AC _:

EXERCISE MATERIAL , SIMPLIFY ! FRAC; NS 2 L 4 _% #1_4 ? 32/6# #2_4 ? 23/80# #3_4 ? 64/32# #4_4 ? 18/30# _:

SPATIAL ARRANGEMENT Add to solve. 17. 32 18. +13 58 +19 19. 64 +25 , ADD to SOLVE 4 _% #17_4 _: 32 +13 33333 #18_4 58 +19 33333 #19_4 64 +25 33333

AUTHOR’S COMMENTS When the equation includes enclosures, solve for these values first: (8 + 1) x (3 - 1) + 8 (9) x (2) + 8 Find the values in parenthesis first (9 x 2) + 8 Multiply the values (18) + 8 = 26 Add the values , : 5 ! EQUA; N 9 CLUDES 5 CLOSURES 1 SOLVE VALUES F/3 _% (8+1)@*(3 -1)+8 (9)@*(2)+8 _: , F 9 D ! VALUES 9 P>5!Si. S F/ _% (9@*2)+8 _: , MULTIPLY ! VALUES _% (18)+8. K #26 _: , ADD ! VALUES = ^!

INSIDE NEMETH SWITCH INDICATORS Linear units of measure are shown in the following list. 12 inches (in. ) = 1 foot (ft) 3 feet = 1 yard (yd) 36 inches = 1 yard 5280 feet = 1 mile (mi) , L 9 E> UNITS ( M 1 SURE >E %[N 9 ! FOLL[+ li/4 _% #12 INCHES (IN 4). K #1 FOOT (FT) #3 FEET. K #1 YARD (YD) #36 INCHES. K #1 YARD #5280 FEET. K #1 MILE (MI) _:

ONE-WORD SWITCH INDICATOR a. If x=10, y=5, and z=12 A 4 , IF _% X. K #10, Y. K #5, , '& Z. K #12 _:

ONE-WORD SWITCH INDICATOR (cont. ) � , ADDITIVE , 9 V]SE , PROP]TY 444 "-A S* T _% A. K -A. K #0 _: 4 , = EXAMPLE 1 ! NUMB] #E HAS AN ADDITIVE 9 V]SE ( "-#E 2 _% #5+(-5). K #0 , 'OR ? 1/2# , '& -? 1/2#_2 ? 1/2#+(-? 1/2#). K #0 _: 4 , ! ADDITIVE 9 V]SE ( A NUMB] IS (T 5 CALL$ XS OPPOSITE 4 , = EXAMPLE 1 #E & "-#E >E OPPOSITES 4 "<; P 4 #ADI">

ENGLISH LETTER INDICATOR � _% ; , A_4 ; , B_4 ; , C_4 ; , D_4 ? 5/3# ? 3/5# -? 5/3# -? 3/5# _:

NARRATIVE TEXT Maintain Consistency 4. Which flavor is 3%? #D 4 , : FLAVOR IS _% #3@0 _: 8 Mere Mention Variables can be any letter, a, b, c, etc. The most common used are x, y, and z. , V>IABLES C 2 ANY LR 1 A 1 ; B 1 ; C 1 ETC 4 , ! MO/ com. MON US$ >E ; X 1 ; Y 1 & ; Z 4

Tables using Nemeth Code within UEB Context v. Table in UEB v. Table using Numeric Passage Indicator v. Tables in Nemeth Code v. Tables with Nemeth and UEB Text

TABLE IN UEB Symbol Unit Meaning km dam dm cm kilometer dekameter decimeter centimeter 1000 meter 10 meter 0. 1 meter 0. 01 meter 77777777777777777777 , SYMBOL , UNIT , M 1 N+ "3333333 "33333 KM """" KILOMET] #AJJJ MET] DAM """ DEKAMET] #AJ MET] DM """" DECIMET] #J 4 A MET] CM """" C 5 TIMET] #J 4 JA MET] GGGGGGGGGGGGGGGGGGGG

TABLE USING NUMERIC PASSAGE INDICATOR 63 7 15 62 17 51 22 9 55 20 24 19 87 61 23 13 ## 7777777777777777777 FC AG EE HG G EA BJ FA AE BB BD BC FB I AI AC GGGGGGGGGGGGGGGGGGG #'

TABLE IN NEMETH CODE x+y =z z+x =y y y+z x-z=y z-y=x _% 7777777777777777777 X+Y. K Z Z+X. K Y ; Y Y+Z X-Z. K Y Z-Y. K X GGGGGGGGGGGGGGGGGGG _:

TABLE IN NEMETH CODE (cont. ) Equivalents: English and Metric system 1 inch (in. ) = 2. 54 centimeters (cm) 1 mile ≈ 1. 6 kilometers (km) , EQUIVAL 5 TS 3 , 5 GLI% & , METRIC SY/EM _% 7777777777777777777 #1 INCH (IN 4). K #2. 54 CENTIMETERS (CM) #1 MILE @: @: #1. 6 KILOMETERS (KM) GGGGGGGGGGGGGGGGGGG _:

Select a Number. Multiply by 5. n 3 9 42 n× 5 = ? 3× 5 = 15 8× 5 =45 42× 5 = 210 Add 6 to product. Divide sum by 3. ? +6=? 15+6=21 45+6=51 210+6=216 ? ÷ 3= ? 21÷ 3= 7 51÷ 3=17 216÷ 3= 72 @. <, ! TABLE IS R 1 D ACR FAC+ PAGES 4 , KEY 3 AP , ADD #F TO PRODUCT 4 DS , DIVIDE SUM BY #C 4 SQ , SUBTRACT #C F QUOTI 5 T 4@. > _% 77777777 SN MB "33333333 ; N N@*5. K = #3 #3@*5. K #15 #9 #8@*5. K #45 #42@*5. K #210 GGGGGGGGGG Subtract 3 from quotient. ? -3=? 7 -3=4 51 -3=48 72 -3=69 Complete Key and Table in Booklet. 777777 SQ "333333 =-3. K = #7 -3. K #4 #51 -3. K #48 #72 -3. K #69 GGGGGG _:

TABLE WITH NEMETH AND UEB TEXT Prefix kilo deka deci Symbol K da d centi c Meaning 1000 × base unit 10 × base unit 77777777777777777777 , PREFIX , SYMBOL , M 1 N+ "33333333333 KILO "" ; , K """ _% #1000@*BASE UNIT _: DEKA "" DA """" _% #10@*BASE UNIT _: DECI "" ; D """" _% ? 1/10# _: ( BASE UNIT C 5 TI "" ; C """" _% ? 1/100# _: ( BASE UNIT GGGGGGGGGGGGGGGGGGGG

TABLE WITH NEMETH AND UEB TEXT Birth Year 1985 1990 1995 Life Expectancy: Given Data 72. 4 73. 6 74. 1 Life Expectancy: Formula Estimate L = 72. 4+0. 17 y L = 72. 4+0. 17(0) =72. 4 = 72. 4+0 = 72. 4 L = 72. 4+0. 17(10) =72. 4 = 72. 4+10 = 82. 4 L = 72. 4+0. 17(20) =72. 4 = 72. 4+20 = 92. 4 Complete Table in Booklet.

@. <, ! TABLE IS R 1 D ACR FAC+ PAGES 4@. > 7777777777777777777777 , LIFE , EXPECTANCY 3 , BIR? , YE> , GIV 5 , DATA "33333333333333333333 _% #1985 """" #72. 4 """"""""""""" #1995 """" Left even page #74. 1 """"""""""""" ggg. GGGGGGGGGGGGGGGGGGGG 7777777777777777777777 , LIFE , EXPECTANCY 3 , =MULA , E/IMATE _% , L. K #72. 4+0. 17 Y _: "333333333333333333333 , L. K #72. 4+0. 17(0). K #72. 4. k #72. 4+0. K #72. 4 , L. K #72. 4+0. 17(20). K #72. 4+20. K #92. 4 _: GGGGGGGGGGGGGGGGGGGggg. GGG Right odd page

Capitalization and Font Attributes of Nemeth Code within UEB Context v. Capitalization in Nemeth Code within UEB Context v Font Attribute in Nemeth Code within UEB Context

CAPITALIZATION IN NEMETH CODE WITHIN UEB CONTEXT � , , , "U/&+ MA!MATICAL DYNAMICS _% @(? 1/2#(X+Y)*Z@). K , , APPLICATIONS _:

FONT ATTRIBUTES IN NEMETH CODE WITHIN UEB CONTEXT � , A "R TRIANGLE M 1 SURES _% #90^. * _: 4 ^7, Y C M 1 SURE A TRIANGLE US+ ! , PY? AGOR 1 N , !OREM _% A^2"+B^2. K C^2 _: 4 , A "R TRIANGLE M 1 SURES _% #90^. * _: 4 ^7, Y C M 1 SURE A TRIANGLE US+ ! , PY? AGOR 1 N , !OREM _% , '_ A^2"+B^2. K C^2 _, ' _: 4

FONT ATTRIBUTES IN NEMETH CODE WITHIN UEB CONTEXT (cont. ) … two or more variables. The following formula L = 72. 4+0. 17 y describes the life expectancy, L, for women born in the year, y, after 1985. 444 TWO OR M V>IABLES 4 ^7, ! foll{+ =MULA _% , L. K #72. 4+0. 17 Y _: ^7 DESCRIBES ! LIFE EXPECTANCY 1 ; , L 1 = WOM 5 born 9 ! Ye>1 ; y 1 AF #AIHE 4^'

Tactile Graphics using Nemeth Code within UEB Context v. Tactile Graphics in UEB v. Tactile Graphics in Nemeth Code and UEB v. Tactile Graphics in Nemeth Code within UEB Context

TACTILE GRAPHICS IN UEB In Figure 3. 3 you will see that there are 27 cubic feet in a cubic yard. 1 cubic yard 1 yd 1 cubic foot 1 ft 1 yd FIGURE 3. 3 27 ft 3 = 1 yd 3 SOURCE: Mt. View Math Whiz

TACTILE GRAPHICS IN UEB 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25

TACTILE GRAPHICS IN NEMETH CODE AND UEB Look at the figures below and solve for the perimeter. 5. 5. 7 m 6.

TACTILE GRAPHICS IN NEMETH CODE AND UEB 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25

TACTILE GRAPHICS IN NEMETH CODE WITHIN UEB CONTEXT Exercises Find the missing measurement of each angle. 2. 3. 25 ? ? 32

TACTILE GRAPHICS IN NEMETH CODE WITHIN UEB CONTEXT 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25

TACTILE GRAPHICS IN NEMETH CODE WITHIN UEB CONTEXT The liter is symbolized by L. The liter is the basic unit of measurement in the metric system. 1 liter ≈ 1. 0567 quarts The liquid in 1 liter will fit in exactly 1 cube. 1000 cm 3 = 1 dm 3 – 1 L. 10 cm = 1 1000 800 600 400 200 10 cm = 1 1000 cm 3 = 1 1 L = 1000 m. L FIGURE 3. 4 SOURCE: Mt. View Math Whiz

TACTILE GRAPHICS IN NEMETH CODE WITHIN UEB CONTEXT

End of Presentation