1. Now it’s your turn to write a secret code![br]a. Write a short and friendly message with 3–4 words.[br]b. Pick a number from 1 to 10. Then, encode your message by shifting each letter that many steps forward or backward in the alphabet, wrapping around from Z to A as needed.[br]Consider using this table to create a key for your cipher.
c. Give your encoded message to a partner to decode. If requested, give the number you used.[br]d. Decode the message from your partner. Ask for their number, if needed.
1. Sample response:[br]a. HAVE A NICE WEEKEND![br]b. Shifting by 1 letter backward: GZUD Z MHBD VDDJDMC![br]c. No response required.[br]d. Answers vary.
2. Suppose m and c each represent the position number of a letter in the alphabet, but m represents the letters in the original message and c the letters in your secret code.[br]a. Complete the table.[br]
b. Use m and c to write an equation that can be used to encode an original message into your secret code.[br]c. Use m and c write an equation that can be used to decode your secret code into the original message.
2. Sample response (using the same cipher—shifting 1 letter backward to encode):[br]a. See completed table.[br][img]data:image/png;base64,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[/img][br]b. 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