Patterns patterns everywhere

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Presentation transcript:

Patterns patterns everywhere

What patterns do you see? Symmetries Number patterns

What does this tell you?

Triangular numbers Build the first five triangular numbers using the cubes or number chips Complete the worksheet Your charge: Using the coolest pattern you found, create an up to 30 second instructional video and submit as outlined in the worksheet

Pascal’s Triangle How do you think this was created? What patterns do you notice here?

Journal entries: Look up the relationship between Pascal’s triangle and flipping coins Look up the relationship between Pascal’s triangle and walking blocks (block-walking) Write about it!

Clock Arithmetic and Modular Arithmetic What hour does 13 o’clock correspond to? How about 22 o’clock? How about 49 o’clock? 1728 o’clock? For the purposes of our discussion, we designate 12, 24, 36 o’clock as 0

Draw a clock that only counts 4 hours. What is 6 o’clock on this clock? How about 23 o’clock? Draw a clock that only counts 7 hours. What is 16 o’clock on this clock? How about 27 o’clock?

Modular Arithmetic Let’s practice: What are we actually doing? 13mod4≡