Math at NPS is taught with the goal of developing creative, competent, and flexible problem solvers who are comfortable taking risks.

As all students are natural mathematicians, homeroom teachers, with the support of the School’s full time math specialist, provide a variety of math experiences through direct instruction, independent practice, cutting edge cooperative projects, and game-playing.

NPS has an innovative and well-researched curriculum that addresses the foundation of mathematics: numbers and operations, geometry, patterns, functions, algebraic thinking, data analysis, and measurement. Students as young as three years old begin to develop number sense, a mathematical vocabulary, and a logical approach to solving problems that enables future application of mathematical reasoning to real-world questions.

To maintain a dynamic learning environment that accommodates a variety of learning styles, NPS utilizes the most effective activities and best practices from several mathematics curricula including Everyday Math, Investigations, Contexts for Learning by Cathy Fosnot, the National Science Foundation’s Rational Number Project, and Number Talks by Sherry Parrish. The School also supplements and differentiates instruction with engaging online content from the Dreambox and IXL companies.


Learning in Action

Students build kinaras from unifix cubes

An integrated lesson for Pre-Kindergarten students that combines Social and Global Studies, Literacy, Fine and Gross Motor Skills, and Math

Pre-Kindergarten Math is Fun!

Children ages 4 and 5 learn the foundational elements of math concepts such as sorting, graphing, identifying numbers, using one to one counting and identifying patterns

STEAM Night: Maker Edition (Video)

What have you MADE lately? Thank you to Team STEAM and everyone who attended NPS STEAM Night 2018: Maker Edition! Please enjoy this video recap.

Math Overview


  • Develop intuitive understanding of numbers through exploration, hands-on experiences, and games
  • Explore numbers, including the concept of none and one-to-one correspondence
  • Learn the language of math, including directional language
  • Apply math language and concepts to families and classroom environment


  • Recognize and read numbers 0–10
  • Count forwards to and backwards from 10
  • Recognize, create, reproduce and extend simple patterns Interpret data with simple bar graphs and yes/no tables
  • Identify 2D shapes (circle, square and triangle)
  • Compare objects by size, weight, height and length


  • Develop intuitive understanding of number sense
  • Count to 100
  • Read and recognize numbers to 50
  • Skip count by 5s and 10s
  • Solve addition and subtraction problems
  • Organize and analyze data on charts and graphs

Grade 1

  • Place value to 100
  • Identify patterns on the hundreds chart
  • Addition and subtraction facts to 10
  • US coins and their values
  • Time to the hour and half hour
  • Odd and even numbers
  • 2D and 3D shapes

Grade 2

  • Place value to 1,000
  • Addition and subtraction facts through 99
  • 2-digit addition and subtraction
  • Telling time
  • Measure length in standard and metric units
  • Project Units: Estimation Station, Measuring for the Art Show

Grade 3

  • Place value to the ten thousands
  • Multi-digit addition and subtraction
  • Introduction to multiplication facts and concepts
  • Interpret data using maximum, minimum and range
  • 2D geometry and measurement

Grade 4

  • Place value to the millions and thousandths
  • Multiplication facts through 10x10
  • Multi-digit multiplication and division
  • Fractions and decimals
  • Geometry
  • Hands-On Problem Solving

Grade 5

  • Divisibility rules and factorization
  • Addition, subtraction, multiplication and division of whole numbers, fractions and decimals
  • Analyze data using statistical landmarks
  • Measure and classify angles
  • Identify and graph points on a coordinate grid
  • Million Dollar Project
  • Pre-algebra concepts
  • Fraction concepts

Grade 6

  • Introduction to algebraic equations
  • Proportion and rate problems
  • Analyze and summarize real-world data
  • Business Simulation

NPS Students Excel at

  • Real-life, authentic problem solving both individually and collaboratively
  • Mathematical communication in both discourse and writing
  • Efficient, accurate, and flexible computation
  • Integrating technology as a useful tool for problem solving

Math enrichment projects

  • Maryland Math Contest
  • Dreambox and IXL online math learning

Grade Level Project-based learning

  • Imagination Playground (N)
  • Matching Mitten Pattern Project (PK)
  • 3-D Rocket Ship Design (K)
  • Block Town (1)
  • Measuring for the Art Show (2)
  • T-shirt Factory (3)
  • The Teachers' Lounge(4)
  • Million Dollar Project (5)
  • Business Simulation (6)

Math Specialist Betsy Williams

MEd, University of Maryland
BS, Keene State College