Mathematical terms and their representations with Cuisenaire Rods

Mathematical term	Represented with Cuisenaire Rods as -
Patterns	Arrangement of rods in an arithmetic progresion, geometric progression, repetative colorization, ...
Even numbers	Any train represented by a train of red rods
Odd numbers	Any number which can not be made by a train of red rods
Sequence	Stair cases
Inequalities	Collections, trains, Venn diagrams, sets, groups
Equalities	Collections, trains, Venn diagrams, sets, groups
Addition	Trains, regrouping with mats
Subtraction	What's missing?, take away, regrouping with mats
Associative property
Commutative property
Multiplication	Repeated addition, squares and rectangles, towers, place mat
Distributive property
Division	Repeated subtraction (How many can be taken away?) How many groups? How big of groups? Tear down a tower. Place mat division.
Place value	Grouping game, trading game, place mats with rods, squares and cubes, towers *see exponents to do decimal numbers with towers.
Fractions	If then equations, puzzles, guess my mind (if red is 2/3 what is one?)
Addition of fractions	Create fractions with identical rods a denomenator or value of one, then join the rods representing the numerator.
Subtraction of fractions	Create fractions with identical rods a denomenator or value of one, then separate the rods representing the numerator.
Multiplication of fractions	Repeated addition, of, four ways,
Division of fractions	How many in? How many groups can be taken away? (repeated subtraction) How big of groups? 1/3 divided into three equal groups is 1/9? 4 divided into equal groups of 2/3 = 6 (make train of four light green rods and put red rods(2/3) under to match (6). 7/8 divided by 3/4 use eighths, 7/8 and 6/8, how many 6/8 in 7/8? one and one part of the 6 = 1 1/6.
Decimals	If then equations, puzzles
Fractional equalities	Rectangles
Primes	A number that can not be formed by a train of any one color except white
Composite	Any number that can be formed by a tower of factors
Greatest common factor	Candy sacks - If all the rods that represent the factor for eeach number were put into a separate sack and each represents a candy, then what would be the largetest candy that is in all the sacks? Can be done with primes as well as all common factors.
Least common multiple	Candy sacks - If the primes of multiples are put into sacks, which sacks would have the least number of rods and would exactly match? Multipes of 3 are (g * w) (g * r) (g * g) (g * p) (g * y) Multiples of 5 are (y * w) (y * r) (y * g).
Exponents	Towers of rods, for positive use white base and for negative put white on top of tower to show negative (3 - 1=1/3, 3 - 2=1/9)
Mean, median, mode	Line up rods to represent data, locate, count, move to balance.