Investigation 4: Understanding Cryptography
Graph Investigation 4: Understanding Cryptography in Grade 10 math using a graphing calculator: set windows, plot functions, and analyze key features with Saxon Algebra 2.
Key Concepts
New Concept A number replaces each letter of the alphabet, so that all messages consist of a string of numbers.
What’s next Next, you’ll build your own substitution cipher using a spreadsheet, turning abstract rules into a practical encryption tool.
Common Questions
What is cryptography in Grade 10 math?
Cryptography uses mathematical techniques to encode and decode secret messages. In algebra, matrix operations and modular arithmetic are fundamental tools for encryption algorithms like Caesar ciphers and matrix encoding.
How are matrices used in cryptography?
An encoding matrix multiplies a message matrix to encrypt data. To decode, multiply by the inverse matrix. This requires the encoding matrix to be invertible (non-zero determinant) so the inverse exists.
What math skills do you need for cryptography in Saxon Algebra 2?
Matrix multiplication, finding matrix inverses, modular arithmetic, and understanding determinants. These tools allow you to both encrypt messages and create decryption keys.