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Addition: all the equations and sums for the addends 1-9.

Multiplication: all the equations and products for the multipliers 1-10.

Subtraction: all the equations and differences for subtraction combinations 1-18.

Division: all the equally divisible problems for the numbers 1-81 and their quotients.


All of the equations and solutions are in the correct Montessori Math operation colours:

Addition – red

Multiplication – yellow

Subtraction – green

Division – blue


To use the material:

Print off in colour on either cardstock, paper, or a solid letter-sized label. If printing on a label, they can be applied to card stock afterward.


THE DIMENSIONS OF THE EQUATIONS AND SOLUTIONS WILL FIT A STANDARD MONTESSORI FINGER CHART – the equations are 1.7 cm x 3.4 cm and the solutions are 1.7 cm x 1.7 cm.


These can be used by any child, whether they are part of a Montessori program or not.


This PDF includes all of the loose equations/combinations for all four operations.


Use Adobe Acrobat (available free online) to view and print. Make sure to preview before printing to ensure that the margins are set correctly.



Make sense of problems and persevere in solving them. Mathematically proficient students start by explaining to themselves the meaning of a problem and looking for entry points to its solution. They analyze givens, constraints, relationships, and goals. They make conjectures about the form and meaning of the solution and plan a solution pathway rather than simply jumping into a solution attempt. They consider analogous problems, and try special cases and simpler forms of the original problem in order to gain insight into its solution. They monitor and evaluate their progress and change course if necessary. Older students might, depending on the context of the problem, transform algebraic expressions or change the viewing window on their graphing calculator to get the information they need. Mathematically proficient students can explain correspondences between equations, verbal descriptions, tables, and graphs or draw diagrams of important features and relationships, graph data, and search for regularity or trends. Younger students might rely on using concrete objects or pictures to help conceptualize and solve a problem. Mathematically proficient students check their answers to problems using a different method, and they continually ask themselves, “Does this make sense?” They can understand the approaches of others to solving complex problems and identify correspondences between different approaches.

Use addition to find the total number of objects arranged in rectangular arrays with up to 5 rows and up to 5 columns; write an equation to express the total as a sum of equal addends.

10 can be thought of as a bundle of ten ones – called a “ten.”

Understand that the two digits of a two-digit number represent amounts of tens and ones. Understand the following as special cases:


*Please message me if you have any questions; I am happy to help.