“Numbers are the substance of the universe.” Pythagoras, Greece, ~500 B.C.E.
“There is geometry in the humming of the strings. There is music in the spacing of the spheres.” Pythagoras, Greece, ~500 B.C.E.
“The mathematical sciences particularly exhibit order, symmetry, and limitation; and these are the greatest forms of the beautiful.” Aristotle, Greece, ~350 B.C.E.
“Mathematics reveals its secrets only to those who approach it with pure love, for its own beauty.” Archimedes, Greece, ~250 B.C.E
Link: What Are Puzzle Points?
LESSONS — Math in Ancient Greece
- Fraction Review : Animal Parades, Day 1
Based on Jo Boaler’s “Foot Parade” activity on Youcubed, but adapted for fractions. Students investigate how many ways there are to make ONE (and then 3/4) with different fraction parades.
(also adaptable to the classroom)
Link to video on solving the first SUGURU Puzzle
(Link to Puzzle Point instruction page)
2. Animal Parades – Day 2
Using the same Youcubed activity idea, students continue making 9-legged, 12-legged and 20-legged parades.
3. Animal Parade Card Game
This game uses the fractional animal cards to build ONE. It can be played in the classroom or on Jamboard.
4. Patterns in Consecutive Numbers – Day 1
We start class with an Improv warm up called “Fuzzy Bunny“!
We continue with an investigation into consecutive number sums, adapted to grade level from several sources:
- Jo Boaler’s “Consecutive Sums” Investigation
- Nrich investigation: “Summing Consecutive Numbers”
- Brad Fulton’s “Hundreds Magic”
5. Patterns in Consecutive Numbers – Day 2
This investigation looks at consecutive number patterns that use a letter (“n”) to represent an unknown, variable number.
This HW uses Animal Parade problems.
6. How to Count in Ancient Greek
This activity investigates Greek numbers and their symbolic meanings.
7. Word Problems
Animal Parade Word Problems and Key
8. Icarus & Daedalus
Using Mythology to Teach the Collatz Conjecture. This activity is based on an investigation from Mathpickle.com
9. 4U + T
An engaging investigation into repeating number chains.
10. Fun With Fibonacci
This is one of our students’ favorite lessons. Maybe it’s the pattern, maybe its the story. Maybe it’s all those rabbits!
Note: Here is a YouCubed video about Fibonacci’s Pattern, possibly in addition to the Vi Hart video in the Power Pt.
Quiz #2, Trimester 2 – What about Assessment?
Link to blog about the philosophy behind our assessments.