Sequenced instruction, adaptive learning, engaging practice


Math Shelf uses a Montessori approach to teach early numeracy, geometry, place value, arithmetic, fractions, money, measurement, and telling time.


Placement tests determine where children start, then Math Shelf's adaptive learning provides sequenced instruction to meet each student's needs.


With over 1,000 games and activities, Math Shelf provides high interest practice that challenges and motivates children.

Common Core Aligned

94% of students master the Common Core standards by playing Math Shelf just 20 minutes per week.

Performance Reports

Weekly student performance and usage reports support data driven decision making.

Adding Students

Register up to 27 children whose data syncs across tablets to support class & home play.

Math Shelf teaches the following skills

Prerequisite Numeracy

  • Names and matches primary and secondary colors.
  • Matches items by size, shape, and orientation
  • Sorts objects into 2, 3, and 4 categories
  • Orders up to 5 items from smallest to largest
  • Counts with 1-to-1 correspondence
  • Recognizes collections to 6 without counting
  • Matches quantities to numbers
  • Identifies numerals
  • Knows the number names and sequence to 10
  • Traces numerals
  • Compares numbers between 1 and 10
  • Counts to tell how many in a set up to 10
  • Adds and subtracts within 6 using objects, fingers, mental images, and drawings

Counting & Cardinality

  • Counts to 100 by ones, fives, and tens
  • Counts to answer "how many?" questions
  • Understands that the last number name tells how many objects were counted
  • Counts forward & backwards beginning from a given number to 100
  • Writes numbers from 0 to 1,000
  • Identifies whether the number of objects in one group is greater than, less than, or equal to the number of objects in another group
  • Compares numbers between 1 and 100 when presented as written numerals
  • Reads and writes numerals, and represents a number of objects with a written numeral

Operations & Algebraic Thinking

  • Decompose numbers less than or equal to 10 into pairs in more than one way
  • Represent addition and subtraction with objects, fingers, mental images, and drawings up to 10
  • Fluently add and subtract within 10
  • Solve addition and subtraction word problems within 20
  • Add and subtract within 20 by using fluency facts for addition-subtraction within 10
  • Understand the meaning of the equal sign, and determine if equations involving addition and subtraction are true or false
  • Determine the unknown whole number in an addition or subtraction equation

Number & Operations in Base Ten

  • Compose and decompose numbers from 11 to 19 into tens and ones
  • Understand place value of a three-digit number and can identify hundreds, tens and ones place
  • Compare two, two-digit numbers using symbols >, =, <
  • Given a two-digit number, mentally find 10 more or 10 less than the number
  • Add within 100 using concrete models that represent place value
  • Subtract multiples of 10 in the range 10-90 using concrete models, drawings, and place value strategies

Measurement & Data

  • Weight. Measure and record the weight of various objects, and add smaller objects to calculate the weight of larger objects
  • Temperature. Measure and record the temperature, and associate thermometer readings with seasons and weather
  • Time. Tell and write time in hours and half-hours using analog and digital clocks
  • Money. Solve problems involving dollar bills, quarters, dimes, nickels, and pennies, using $ and ¢ symbols appropriately
  • Length. Order objects by length; compare the lengths, and express the length of an object as a whole number of units
  • Data. Organize, represent, and interpret data with up to three categories; ask and answer questions about how many more or less are in one category than in another


  • Correctly name shapes regardless of their orientations or size
  • Identify shapes as two-dimensional or three-dimensional
  • Analyze and compare two- and three-dimensional shapes, in different sizes and orientations
  • Identify and name shapes in one's environment
  • Compose simple shapes to form larger shapes (2 triangles to form a rectangle, 3 triangles to form a trapezoid, 5 triangles to form a pentagon, etc.)
  • Fractions. Partition circles and rectangles into two, three, four, five, and six equal shares. Describe shares using the words halves, thirds, fourths, etc.
  • Count shape sides and angles and distinguish between different shape's defining attributes