An Introduction to Nemeth Code Symbols Used in Grades 2 to 5 and Strategies for Supporting Elementary Students in Building Math Skills Lesson 2: Mathematical Comma, Decimal Point, Money, and Linear and Word Problems University of South Carolina Upstate, Summer 2020 1 Lesson 2 Objectives • Participants will be able to read and write the following Nemeth symbols: • Mathematical comma in large numbers (1,234) • Decimal point (.) • Cent sign (¢ ) • Dollar sign ($) • Participants will be able to read and write linear math problems using Nemeth Code symbols. • Participants will be able to read and write word problems using Nemeth Code symbols. 2 Multi-Digit Numbers and the Mathematical Comma • Multi-digit numbers are written similarly to the numbers 1 – 10. • The mathematical comma , (dot 6) is used in Nemeth Code when multi-digit numbers are partitioned by a comma. 537 7,639 312,457,089 #537 #7,639 #312,457,089 1,234,567,890 #1,234,567,890 3 REALLY Long Multi-Digit Numbers • Long numbers are not divided between braille lines if the number will fit onto a single line. • If the number is too long to fit onto a single braille line, then divide it across two or more lines. • The division is made after a comma, if present, with a hyphen. • Put a numeric indicator at the beginning of the number as well as at the beginning of any additional lines. 5,670,000,000,000,000,000,000,000,000 #5,670,000,000,000,000,000,000,- #000,000 4 Activity 2A Interline the following: _% #1_4 #478 #2_4 #953 #3_4 #8,358 #4_4 #945,213 #5_4 #389,257,000,000,000,000,000,- #000,000 _: 5 Activity 2A: Answer Key _% 1. 478 #1_4 #478 2. 953 #2_4 #953 3. 8,358 #3_4 #8,358 4. 945,213 #4_4 #945,213 5. 389,257,000,000,000,000,000,000,000 #5_4 #389,257,000,000,000,000,000,- #000,000 _: 6 Numbers with a Decimal Point The decimal point . (dots 4-6) is considered a numeric symbol, and therefore the same rules for writing whole numbers in Nemeth Code are used when writing decimals. 5.7 #5.7 7.234 #7.234 8,349.25 #8,349.25 .675 #.675 .01 #.01 7 Activity 2B Braille the following: 1. 3.6 2. 2.786 3. 4,200.93 4. .125 5. .02 8 Activity 2B: Answer Key _% #1_4 #3.6 #2_4 #2.786 #3_4 #4,200.93 #4_4 #.125 #5_4 #.02 _: 9 Symbol for Cents • The cent sign ¢ is @c (dot 4, dots 1-4) • Use a numeric indicator, followed by the number, and then the cent sign as it is in print. • There is no space between the number and the cent sign. 75¢ 23¢ 50¢ 1¢ #75@c #23@c #50@c #1@c 10 Symbol for Dollars • The dollar sign $ is @s (dot 4, dots 2-3-4). • Place the dollar sign in front of the number as in print. • Do not use a numeric indicator with a dollar sign. • Similar to the cent sign, there is no space between the dollar sign and the number. $5.39 $.33 $68,000 @s5.39 @s.33 @s68,000 11 Activity 2C Braille the following: 1. 77¢ 2. $.77 3. $34,569 4. 2¢ 5. $0.68 6. $257,342.87 12 Activity 2C: Answer Key #1_4 #77@c #2_4 @s.77 #3_4 @s34,569 #4_4 #2@c #5_4 @s0.68 #6_4 @s257,342.87 13 Monetary Amounts in Linear Problems Monetary amounts are sometimes used in linear problems with signs of operation and signs of comparison. 10¢ + 15¢ = ____ #10@c+15@c .k ---- $3.75 - $1.50 = @[email protected] .k = $9.00 X 5 = ? @s9.00@*5 .k = 60¢ ÷ 3 = ____ #60@c./3 .k ---- $23 - ____ = $18 @s23- ---- .k @s18 14 Nemeth Code Switch Indicators with Monetary Amounts and Decimals • Monetary amounts and decimals are transcribed in Nemeth Code, even in word problems. • In the example below, the single-word switch indicator is used. 2. Tonya asked, “Is .75 the same as 75¢ and $0.75?” Explain if Tonya is correct or not. #b4 ,tonya ask$1 8,is _% #.75 _: ! same z _% #75@c ,'& @s0.75 _:80 ,expla9 if ,tonya is correct or n4 15 Activity 2D Braille the two word problems: 1. 4 apples cost $1.00. How much will Tommy have to pay for 5 apples? 2. Anita has 7 coins in her coin purse. They add up to $0.48. What coins does she have in her coin purse? 16 Activity 2D: Answer Key #a4 #d apples co/ _% @s1.00 _:4 ,h[ m* w ,tommy h to pay = #e apples8 #b4 ,anita has #g co9s 9 h] co9 purse4 ,!y add up to _% @s0.48 _:4 ,:at co9s does %e h 9 h] co9 purse8 17 Activity 2E Braille the two word problems: 3. Javier has $24. He wants to buy a scooter that costs $162. How much more money does he need? 4. Keiko purchased a meal that cost $3.83. She gave the waiter $4. He gave her 15¢ in change. Is that correct? 18 Activity 2E: Answer Key #c4 ,javi] has _% @s24 _:4 ,he wants to buy a scoot] t co/s _% @s162 _:4 ,h[ m* m m"oy does he ne$8 #d4 ,keiko pur*as$ a m1l t co/ _% s3.83 _:4 ,%e gave ! wait] _% @s4 _:4 ,he gave h] _% #15@c _: 9 *ange4 ,is t correct8 19.