Connecting Cubes for Math: Types, Differences, and Best Uses
Updated: Aug 28
Disclosure: This post contains affiliate links. If you make a purchase through these links, I may earn a commission at no additional cost to you. As an Amazon Associate I earn from qualifying purchases.
As part of my Math Manipulatives That Count series, this post asks a deceptively simple question: Do all connecting cubes for math support the same mathematical thinking?
Earlier this week, I was on a call with a district leader planning professional learning for the year. We talked about a familiar pattern: new curriculum adoptions often bring new sets of manipulatives, which are then added to the bins and boxes accumulated over time. The purchases are well-intentioned, but without a clear understanding of the mathematics each tool supports, they can become an avoidable source of waste. We should know what we are ordering, why we are ordering it, and what it will help students understand.
A few years ago, I saw the consequence. A school purchased manipulative kits for their new curriculum. The curriculum called for snap cubes, but the kits contained snap blocks. The names sounded interchangeable; the size was not. The snap blocks were 1-centimeter cubes, while standard snap cubes measure about 3/4 inch, or roughly 2 centimeters, along each edge. For small hands, nearly doubling the edge length can change how easily students grasp, align, connect, and separate the pieces. A small difference in wording produced a materially different classroom tool.
Connecting cubes are especially easy to confuse. Unifix cubes, snap cubes, and MathLink cubes are commonly sold in sets of 100, with ten cubes in each of ten colors. The packaging looks similar, but the connection designs—and the mathematics they support—are not. As we saw in last week’s blog about hundreds charts, a resource can make some representations visible while hiding others. Understanding these differences turns connecting cubes for math into purposeful instructional tools rather than colorful materials that collect in closets.
Unifix Cubes: Strong for Linear Number Relationships
Unifix® is a brand name that educators often use as though it names the entire category—much like Q-tips is commonly used for cotton swabs. More generally, these are one-direction linking cubes. The brand name is a helpful clue: Unifix cubes connect in one fixed direction, top to bottom, so students can build vertical towers or horizontal trains.
The same design creates a limitation: one-direction connections mainly produce straight structures. Linking cubes are excellent when the mathematical idea is linear, but they are less flexible for constructing shapes, exploring multiple orientations, or building three-dimensional arrangements. That is not a flaw. It is a reminder to match the tool to the learning goal.
Because they connect easily and pull apart with a simple push-and-pull motion, these cubes are often easier for young hands to manage than cubes that require students to align several connection points. Their smooth faces also give teachers a writable surface. Teachers might label cubes with numerals and operation symbols so students can build expressions and equations, assign a value such as 5 or 10 to each cube to explore unitizing and place value, or label cubes with categories and values to construct physical data displays.
That ease is especially valuable when connecting cubes for math are used in centers and games that require students to compose and decompose quantities repeatedly. In Stage 2 of Illustrative Mathematics’ What’s Behind My Back? center, students build a tower, separate it into two parts, and hide one part while a partner reasons about the missing quantity. Because the cubes connect and disconnect without much force, the physical action reinforces the relationship between the parts and the whole instead of competing for students’ attention.
Most assorted sets include 10 colors. That variety can support sorting and patterning, but it is not always the most useful choice for number relationships. Because teachers can purchase linking cubes by color (paid link) they can intentionally choose two colors instead of another full assortment. A tower of five magenta cubes and five yellow cubes makes both 5 and 10 easy to see. Students can use that structure to count on from 5, compose and decompose 10, compare quantities, and begin thinking in groups of five and ten.
The same two-color collection can extend into place value. Four pink towers of 10 and three individual yellow cubes make 43 visible as 4 tens and 3 ones, while the color contrast helps students count by group rather than recounting every cube.
Snap Cubes: Building Toward Spatial and Geometric Thinking
Because snap cubes (paid link) connect on all six sides, students can move beyond rods and towers to build corners, rectangular prisms, irregular structures, and models that extend in more than one direction. The ability to build and reason about prisms and volume is one reason these cubes often become more popular with older students, who are also more likely to have the dexterity and hand strength to manage the connectors.
That does not mean these connecting cubes for math belong only in upper grades. In kindergarten, students can connect cubes of different colors to compose simple shapes into larger “picture puzzles” (K.G.B.6). After building, they can classify the cubes by color (K.MD.B.3) and count how many are in each group (K.CC.B). One construction can support geometric composition, data thinking, and counting—if the task is designed around what the tool makes possible.
There is still a practical tradeoff. The protruding connectors require more precise alignment and greater hand strength than one-direction linking cubes. Some styles are harder for younger students to connect and separate, and small connector pieces may loosen over time. Leaders should consider student age, fine-motor accessibility, the mathematics of the task, and durability—not just the number of cubes in a package.
MathLink Cubes: More Features, Similar Mathematics
MathLink® cubes (paid link) also connect on multiple sides and can support the same work with volume, geometric composition, and spatial reasoning as snap cubes. Their geometric face cutouts add options for sorting, patterning, and orientation, but only when teachers plan to use those features intentionally. In many classrooms, their clearest additional benefit may be durability. Because they can require more force to connect and separate, leaders should compare instructional purpose, accessibility, longevity, and cost per cube. More features do not automatically create more instructional value.
Choosing Connecting Cubes for Math With Purpose
Before purchasing or distributing connecting cubes for math, begin with the mathematics—not the name or even the catalog description. Ask:
What concept should the manipulative make visible?
Do students need to build only in a line, or in multiple directions?
Will the task emphasize quantity, operations, geometry, measurement, or spatial reasoning?
Can the intended students comfortably connect and separate the cubes?
Will the tool be used across several grade levels, or for a focused purpose?
These questions protect instructional clarity and budgets. A school may already own thousands of cubes, yet still lack the right cube for a particular task. It may also purchase several nearly identical sets when one carefully chosen option would meet the need. The goal is not to own every manipulative. The goal is to build a coherent set of tools that teachers understand, and students can use to reveal their thinking.
Why This Is a Leadership Decision
Resource decisions communicate what a school values. When leaders build a shared understanding of how materials support different mathematics, they can better connect purchasing, professional learning, curriculum, coaching, and classroom practice. Without that shared understanding, even well-intended purchases can become underused, misused, or unnecessary.
These are the kinds of questions the new Coaching that Counts Collaborative Cohort will make space to examine. Mathematics coaches, interventionists, teacher leaders, curriculum specialists, and school or district administrators will come together to think deeply about how materials, student thinking, curriculum, coaching, and leadership decisions connect. Through collaborative discussion, classroom problems, reflection, and evidence of student thinking, participants will consider these decisions from multiple angles and in relation to their own contexts.
Choosing connecting cubes for math may seem like a small decision, but it opens larger questions about what students need to understand, which tools make that thinking visible, and how teachers can use those tools with purpose. If you are looking for a community where educators can slow down, examine those questions, and learn alongside colleagues, register for the Collaborative Cohort.
Comments