Chapter 2: Lessons and Activities

Activity Name Activity Description
Venn Diagrams Students learn about classifying numbers into various categories through answering questions about Venn Diagrams.
Coloring Multiples in Pascal's Triangle Students color numbers in Pascal's Triangle by rolling a number and then clicking on all entries that are multiples of the number rolled, thereby practicing multiplication tables investigating number patterns, and investigating fractal patterns.
Coloring Remainders in Pascal's Triangle Students color numbers in Pascal's Triangle by rolling a number and then clicking on all entries that have the same remainder when divided by the number rolled, thereby practicing multiplication tables, investigating number patterns, and investigating fractal patterns.
Caesar Cipher Students practice simple arithmetic skills by encoding and decoding messages using an affine cipher.
Caesar Cipher II Students practice simple arithmetic skills by encoding and decoding messages to determine the form for an affine cipher.
Caesar Cipher III Students practice their reasoning and arithmetic skills by decoding messages to determine the form for an affine cipher.
Clock Arithmetic Students learn about modular arithmetic operations through working with various types of clocks. Parameters: Number of hours on the clock.

Lesson Name Lesson Description
Sets and Venn Diagrams Introduces students to the notions of sets, elements, and Venn diagrams.
Clock Arithmetic and Cryptography Introduces students to modular (clock) arithmetic and how it can be used to encode messages using simple shift, multiple and affine ciphers.
Pascal's Triangle Looks at how Pascal's Triangle can be used to generate Sierpinski triangle-like results.