Math Untangled

Math Untangled

Wednesday, January 1, 2014

Grades: 6-8: Art in Math- Making Art Using Equations Autologlyph

According to Discover magazine many artists use calculations and numerical analyses as a rich source of ideas and methods for their creations.


This is a self-referential bunny — a sculpture of a bunny, the surface of which is tiled by 72 copies of the word "Bunny."
This piece is part of a larger series of "autologlyphs," following on from HS's "Sphere Autologlyph" from the 2010 Bridges art exhibition. An autologlyph is a word written or represented in a way which is described by the word itself. This style of autologlyph combines Escher-style tessellation with typographical ideas related to ambigrams.

Friday, November 1, 2013

Grade 1-3: Addition or Subtraction Jump Rope (Skipping)

Skipping rope is not only a healthy exercise,  it is a great tool to make learning fun.

Materials Needed: 
Jump rope
flash cards (optional)
Two people: one to skip rope and the other to call out the equation

This activity enables students to practice addition and subtraction by creating simple math equations. 

Person 1: Will create a math equation and say it out loud without stating the answer. For example 1+1=
Person 2: Will skip the answer by repeating the equation and then solving the problem. For example 1+1=2.

The same can be done for subtraction, but instead have the Person 2 (skipping) jump backwards during the subtraction. 
Person 1: 2-1=
Person 2: Skips twice forward, stops, skips one back. 2-1=1


Tuesday, October 1, 2013

Grade 6-8: The Fibonacci's Sequence

The Fibonacci's Sequence is a series of numbers in which each number ( Fibonacci number ) is the sum of the two preceding numbers. 
The simplest is the series 1, 1, 2, 3, 5, 8, etc. The next number is found by adding up the two numbers before it.
    • The 2 is determined by adding the two numbers before it (1+1)
    • Similarly, the 3 is determined by adding the two numbers before it (1+2),
    • And the 5 is (2+3),
    • and so on!
    (The Fibonacci sequence is defined by the property that each number in the sequence is the sum of the previous two numbers; to get started, the first two numbers must be specified, and these are usually taken to be 1 and 1. In mathematical notation, if the sequence is written $(x_0, x_1,x_2,...)$ then the defining relationship is
\begin{displaymath}x_n=x_{n-1}+x_{n-2}\qquad (n=2,3,4...)\end{displaymath}

with starting conditions $x_0=1,
x_1=1$.)


Sunday, September 1, 2013

Grade 3-8: Converting to the Metric System

Metric Fun Facts!

Did you know?
• The Metric System is official known as Le Système International d'Unités, or the International System of Units, it's more simply known the world over by its abbreviated name, the SI.

• In the 1790s and during the Revolution in France that the French devised the primitive basis for the modern metric base-10 system.

• The meter was originally 1/10,000,000 the distance from the North Pole to the Equator, through Paris Francel. 
• a gram is the weight of one cubic centimeter of water, which makes 1 liter of water weighs 1 kilogram
• metric units are all all multiples of ten

• More than one type of ton? Yes!
A short ton is equal to 2,000 pounds or about 907 kilograms. 
A long ton is equal to 2,240 pounds, or about 1,016 kilograms. 
A metric ton, which is assigned the official symbol "t" in the International System of Units, is equal to 1,000 kilograms, or about 2,204 pounds which is also 1 megagram -- denoted by the symbol Mg.

The Metric System is Case Sensitive: What?
mm = milimeter
Mm= megameter

The basic metric units are: 
meters (for length)
grams (for mass or weight)
liters (for volume)

The different units convert into one another: 
one milliliter = one cubic centimeter 
one gram = the weight of one cc of water.