Grade 4
-
Geometry
-
Measurement & Data
-
Number & Operations: Base Ten
-
Number & Operations: Fractions
-
Operations & Algebraic Thinking
KAS Math Standard: KY.4.OA.5
Generate a number or shape pattern that follows a given rule. Identify apparent features of the pattern not explicit in the rule itself.
How Many Will There Be? The Fence
Start with one fence section: four pieces of wood. Students count, hunt for patterns, and push their predictions further and further — until they can name the step from the total alone.
Math Curiosity: Magic Triangles
Can you make each side of this triangle add up to 9 using the digits 1-6?
How Many Will There Be? Earthworm
Give kids a taste of a sequence, let them build an understanding, and then see how far their predictions can take them.
How Many Will There Be? Checkerboard
Give kids a taste of a sequence, let them build an understanding, and then see how far their predictions can take them.
Looping Grid Art
Pick a few numbers, draw some corresponding lines on grid paper, and you’ll end up with some interesting, looping math-y art!
How Many Will There Be? Pyramids
Give kids a taste of a sequence, let them build an understanding, and then see how far their predictions can take them.
How Many Will There Be? Desks
Give kids a taste of a sequence, let them build an understanding, and then see how far their predictions can take them.
How Many Will There Be? Stairs
Give kids a taste of a sequence, let them build an understanding, and then see how far their predictions can take them.
Math Curiosity: Klauber’s Triangle
In 1932, a leading authority on rattlesnakes, Laurence Klauber, discovered a startling pattern within a triangle of primes.
Math Curiosity: Ulam Spiral
What if we make a huge spiral of numbers and then highlight only the primes? Well, a bunch of weird patterns show up!
Math Curiosity: A Pattern Packed Triangle
Pascal’s pattern-packed triangle is a potent puzzle for pupils to ponder.
Math Curiosity: Goldbach’s Conjecture
Can any even number be written as the sum of two primes? Goldbach thought so, but we haven’t proven it… yet!
Evens and Odds – Addition and Subtraction
When we’re adding and subtracting, do evens make odds into evens? Do odds make evens odd? Which one has… more power!?
Rounding Numbers (But Not To 10)
What could we possibly do to make rounding more interesting for students who already get it? In this series, students consider how they might round to values other than “the nearest 10.” How, for example, do we round to the nearest 9? 7? 15?
Math Curiosity: Four Squares
Every positive integer can be written as the sum of (at most) four perfect squares!
Math Curiosity: Magic Squares
Imagine a 3×3 square in which every row, column, and diagonal have the same sum. That’s a magic square!
Math Curiosity: The Coloring Problem
No video gets me more email from students! How few colors can you use to color in any map so that no two, neighboring regions are the same color?
Math Curiosity: Odds & Squares
Why does the sum of the first 5 odds also equal 5 squared?
Math Curiosity: Waring’s Conjecture
So, can you write every odd (greater than 3) as the sum of three primes?
Math Curiosity: Primes and Squares
Can any perfect square be written as the sum of two primes?
Math Curiosity: Legendre’s Conjecture
It seems like there’s always a prime number between two perfect squares… but is this always the case!?
Math Curiosity: Palindromic Number Conjecture
Using this one weird trick, it seems that you can turn any number into a palindrome!
The Game of 100
Who can get to 100 first in this simple, but delightful, math game?
Math Curiosity: Collatz Conjecture
The Collatz Conjecture: start with any number and get to 1 using just two rules. It seems to always work…