5th Grade Schedule
Week 1 (Probability/Counting):
Tuesday, August 7th 7-8:30PM
Fun Math: The Art of Magic Squares
Challenge: create a 4x4 magic square
Speed math: Squaring 2-digit numbers
A Style of Question: Old MacDonald Had a Farm
Challenge: develop your own method
Replacing infinity with x: infinite sums, expected value, sequences and series
Homework
Lecture Notes: Page 1 Page 2 Page 3 Page 4
Week 2 (Number Theory):
Friday, August 10th 6:30-8:00 PM
Fun Math: Cutting a cake fairly
Challenge: are any shapes necessarily easier than other for 2, 3, 4, …n people?
Speed math: Multiplying 2-digit numbers
A Style of Question: Planting Tomatoes
From infinity to 1: number theory, Diophantine equations, modular arithmetic
Lecture Notes Homework
Week 3 (Algebra)
Friday, August 17th 6:30-8:00 PM
Fun Math: 4-Color Theorem
Challenge: Disprove Case III
Speed math: Multiplying close to 100
A Style of Question: Rolling Boulders up a Hill
Roots of a Tree: Binomial Theorem, roots of a polynomial, Pascal’s Triangle
Lecture Notes Homework
Week 4 (Geometry)
Monday, August 27 6:00-8:30 PM
Fun Math: Number Guessing Games
Challenge: Design your own game
Speed Math: Division to n decimal points, Math Tricks
A Style of Question: The extremely long, arduously boring and lengthy word problems that give you absolutely no reason to read them because they waste so much time but you need the point and they simply break down so easily but you spend half your time trying to pick them apart and forget about the other questions.
The Unpower of Pi: Circle Geometry, Power of a
Point, 3-D Geometry
2= (4,5): Analytic Geometry
Definitions Handout (Read before class)
Homework