| 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 |
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| Commutative property |
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| Multiplication |
Repeated addition, squares and rectangles,
towers, place mat |
| Distributive property |
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| 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. |