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Overview of Elementary Studies
Elementary Math Studies (6 year cycle)

"Our aim is not only to make the child understand, and still less to force him to memorize, but so to touch his imagination as to enthuse him to his innermost core."
- Maria Montessori

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.

Curriculum Area Lower Elementary, Ages 6-9 Upper Elementary Ages 6-12
Numeration
  • numerical quantities
  • numerical symbols
  • place value
  • even/odd
  • introduction to the concept of zero
  • rounding
  • numerical quantities
  • numerical symbols
  • place value thru millions
    • concept of 0
  • prime numbers
  • rounding
  • integers (knowledge of number line)
Computation
  • (+ x - ÷) concepts
  • (+ x - ÷) operations
  • memorization of math facts thru 12
  • exploration of numerical patterns
  • (+ x - ÷) concepts
  • (+ x - ÷) operations
  • factors/multiples
  • divisibility
  • percent/ratio/proportion
  • exponents
Fractions
  • concept
  • naming/vocabulary
  • first equivalence study static operations with like denominators (+ -)
  • introduction to mixed numbers
  • concept
  • naming/vocabulary
  • equivalence study
  • common denominator
  • static operations with unlike denominators (x, ÷ )
  • dynamic operations ((+ x - ÷)
  • operations with mixed numbers
  • simplifying and reducing
Decimals
  • palce value
  • +, -
  • palce value
  • +, -, x, ÷
  • comparative values
  • conversion to/from common fractions
Measurement
  • linear (standard & metric)
  • time
    • analog
    • calendar
  • money (value of +, -)
  • temperature (reading)
  • weight
  • linear (standard & metric)
  • time
  • temperature (Fahrenheit/Celsius)
  • weight
Pre-Algebra  
  • binomials and trinomials
    • solving for the unknown
    • variables
  • squaring/cubing
Other Math Areas
  • word problems and critical thinking
  • estimating
  • graphing (bar, line)
  • patterns and relationships

 

  • word problems and critical thinking
  • estimating
  • graphing
  • patterns and relationships
  • money

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