The math manipulatives remain some of the most elegant and intuitive of the Montessori materials. Daily use with these materials enables elementary children to begin to move from concrete to abstract reasoning. Through presentations and continual practice during the six year elementary program, students master math facts and computation skills. Such concepts are used in problem solving and practical applications in their every day lives.
| Numeration |
- numerical quantities
- numerical symbols
- place value
- even/odd
- introduction to the concept of zero
- rounding
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- numerical quantities
- numerical symbols
- place value thru millions
- prime numbers
- rounding
- integers (knowledge of number line)
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| Computation |
- (+ x - ÷) concepts
- (+ x - ÷) operations
- memorization of math facts thru 12
- exploration of numerical patterns
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- (+ x - ÷) concepts
- (+ x - ÷) operations
- factors/multiples
- divisibility
- percent/ratio/proportion
- exponents
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| Fractions |
- concept
- naming/vocabulary
- first equivalence study static operations with like denominators (+ -)
- introduction to mixed numbers
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- concept
- naming/vocabulary
- equivalence study
- common denominator
- static operations with unlike denominators (x, ÷ )
- dynamic operations ((+ x - ÷)
- operations with mixed numbers
- simplifying and reducing
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| Decimals |
|
- palce value
- +, -, x, ÷
- comparative values
- conversion to/from common fractions
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| Measurement |
- linear (standard & metric)
- time
- money (value of +, -)
- temperature (reading)
- weight
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- linear (standard & metric)
- time
- temperature (Fahrenheit/Celsius)
- weight
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| Pre-Algebra |
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- binomials and trinomials
- solving for the unknown
- variables
- squaring/cubing
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| Other Math Areas |
- word problems and critical thinking
- estimating
- graphing (bar, line)
- patterns and relationships
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- word problems and critical thinking
- estimating
- graphing
- patterns and relationships
- money
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