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Aspen Academy’s Lower School mathematics program enables children to:

  • discover concepts
  • develop an intuitive feeling for mathematics
  • apply established math skills and reasoning to problem solving.

Concepts are taught using concrete materials alongside corresponding algorithms. Pictorial representations provide visual images for computation and the use of manipulative materials helps children to bridge the gap between the concrete and abstract.

Singapore Mathematics is used as our foundational level curriculum. After being immersed and then graduating from this program, students are typically performing two to three grade levels ahead of the standard American student.



Math begins in Kindergarten with the study of:

  • numbers to 100
  • counting to 100
  • order by size, length, width, and height
  • size and position
  • solid and flat shapes
  • comparing sets
  • ordinal numbers
  • financial literacy
  • calendar patterns
  • number facts
  • classifying and sorting
  • adding and subtracting stories
  • measurement
  • money


In First Grade, our curriculum covers:

  • numbers to 100
  • number bonds
  • addition and subtraction facts to 100
  • shapes and patterns
  • ordinal numbers and position
  • length and weight
  • picture and bar graphs
  • mental math
  • calendar
  • time
  • multiplication and division
  • money


Our Second Graders learn:

  • numbers to 1000
  • addition and subtraction
  • multiplication and division
  • metric length and volume
  • mental math and estimation
  • money
  • fractions
  • customary length
  • time
  • multiplication of 3's and 4's
  • bar models
  • picture graphs
  • lines and surfaces
  • shapes and patterns


During the Third Grade, our students master:

  • numbers to 10,000
  • addition and subtraction to 10,000
  • mental math
  • estimation
  • addition and subtraction using bar models
  • long division
  • multi digit multiplication
  • multiplication and division using bar models
  • money
  • metric length
  • mass and volume
  • bar graphs and line plots
  • fractions
  • customary length
  • time and temperature
  • weight and capacity
  • geometry - right angle lines, 2D shapes
  • area and perimeter


In Fourth Grade, our students learn:

  • whole numbers with place value
  • estimation and number theory
  • whole number multiplication and division
  • tables, lines, graphs, data analysis
  • fractions and mixed numbers
  • decimals
  • angles, perpendicular and parallel lines
  • squares and rectangles - area and perimeter
  • symmetry and tesselations