Math Domino Studio & 12-Frame Set

PEDAGOGICAL STANDARD • 12-Frame Regrouping & Doubling Lid ✓ 42mm Gridfinity Compliant
$38.00 ✓ Free US Tracked Shipping • Batch 001
Choose Table Edition / Polymer Colorway: 1064nm Laser-Foamed Pips

An end-to-end tactile arithmetic system designed to bridge dot subitizing, addition doubles facts, and discrete probability distributions. Features 30 precision 2x1 miniblock dominoes (28 double-six + 2 blanks) with direct 1064nm IR laser-foamed pips, a 12-frame pull-out regrouping tray with a bridge-through-10 demarcation, and a stackable doubling snap lid housed in a 3x1 Gridfinity fuzzy-skin box.

✓ 1064nm Laser-Foamed Pips: Direct IR laser micro-bubble foaming produces permanent, stark chalk-white pips (L = 0.86–0.88, WCAG AAA 15.2:1) with +0.05 mm tactile dome relief. Zero painted dots to chip or wear off.
✓ Four Classroom Table Colorways: Molded in our calculator faceplate-grade biopolymers (Midnight Navy, Stealth Black, Space Gray, Coffee Brown). Perfect for color-coded classroom table stations (one distinct color per table group to eliminate mixed pieces).
✓ Stackable Doubling Snap Lid: 12 molded miniblock sockets with debossed legends ("1+1=2" to "6+6=12") for tactile self-correction.
✓ 12-Frame Regrouping Tray: 6x2 tray featuring a permanent divider between Col 4 and 5 to teach 10 + 2 = 12 decomposition.
✓ Fuzzy-Skin Gridfinity Enclosure: Tactile pebble texture resists classroom scuffs and nests into any standard Gridfinity base.
± ±0.05mm Calibrated • Non-Toxic Biopolymer
✓ Anti-Heartbreak $2.49 Part Refills
♥ 30-Day Risk-Free In-Home Trial
Engineering Manifesto

Calculators & Manipulatives Engineered Like Precision Instruments, Not Disposable Toys.

For forty years, early math education has been caught between two false choices: flimsy blow-molded yellow plastic toys with loose tolerances and sharp burrs, or disembodied flat glass screens that strip weight, friction, and spatial muscle memory from developing minds.

At StackCalc, we reject throwaway plastic culture. Every tile, detent, and frame is drafted with 0.18mm mechanical tolerances, molded in high-density matte biopolymers, and keyed into the open Gridfinity architecture. When a classroom loses a tile, you don't throw away the kit—our archival tracking cards provide direct single-piece replacements for $2.49. Real weight. Crisp mechanical clicks. Concrete mathematical intuition that endures.

0.18 mm Mechanical Snap Tolerance
WCAG AAA 15.2:1 Laser Pip Contrast
100% Non-Toxic Bio-Polymers
$2.49 Single-Piece Archival Care

The 3-in-1 Concrete Math Architecture

Most classroom dominoes are flimsy toy tiles. The StackCalc Domino Studio is engineered from the build plate up as an active mental math instrument.

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1. The Doubling Snap Lid

Features 12 precision sockets arranged in two rows. Row 1 debossed with expressions (1+1, 2+2, 3+3, 4+4, 5+5, 6+6); Row 0 debossed with sums (2, 4, 6, 8, 10, 12). Students locate doubles and snap them in for instant tactile feedback.

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2. 12-Frame Regrouping Tray

A pull-out 6x2 tray holding 6 dominoes or 12 counters. A permanent tactile divider separates the first 10 positions from the final 2, demonstrating how numbers from 11 to 12 decompose into ten plus ones (10 + 2 = 12).

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3. Laser-Foamed Miniblock Tiles

Includes all 28 double-six dominoes [0|0] through [6|6] plus 2 blank tiles for custom fractions or variables. Every pip is produced by direct 1064nm IR laser micro-foaming (L = 0.86–0.88, WCAG AAA 15.2:1) with a tactile +0.05 mm dome relief on calculator faceplate-grade biopolymers, available in four distinct classroom table station colorways.

Virtual Tactile Lab • Client-Side Web Audio Detents

Interactive Doubling Snap Lid & 12-Frame Simulator

Stackable Doubling Lid — Sockets (1+1 to 6+6) Click filled socket to unseat
Available Laser-Foamed Double Tiles (Click to Snap):
12-Frame Regrouping Tray (Bridge Through Ten at Col 5) || Tactile Divider (10 + Remainder)
👉 Click any double tile to snap it into its calibrated lid socket.

The Video Showcase: Kinematics, Unboxing & Classroom Lesson

Experience the full kinesthetic progression from CAD sliding assembly to classroom doubling drills and discrete probability verification.

1. CURRICULUM LESSON 01

Doubles Anchors of Mental Math

Docking doubles tiles [1|1] through [6|6] into lid sockets to establish mental keystones (2, 4, 6, 8, 10, 12) for rapid mental calculation.

CCSS 1.OA.C.6 6 + 6 = 12 Anchor
2. CURRICULUM LESSON 02

Near-Doubles Fluency (+1 / -1)

Comparing [6|6] with adjacent [6|7] in the box well to solve 6 + 7 = (6 + 6) + 1 = 13, eliminating finger counting permanently.

CCSS 2.OA.B.2 (6 + 6) + 1 = 13
3. CURRICULUM LESSON 03

12-Frame Tray Regrouping (10 + 2 Anchor)

Loading double tiles into the 6×2 regrouping tray. Tactile ridge isolates 10 base pips from 2 carry pips to cement base-ten mental addition.

CCSS 1.OA.C.6 10 + 2 = 12 Base-Ten
DOMI-01 Card

Archival 2-Sided Reference Card (135×90mm)

Included inside every box. Scan Side B to access the full demonstration video suite or inspect Side A for replacement Part IDs and anti-arbitrage rates ($2.49/tile).

Zero Plastic Wrap. 100% Archival Packaging Architecture.

Every StackCalc kit arrives in a custom 200 lb-test kraft mailer engineered for classroom unpacking, permanent drawer storage, and zero unrecyclable film.

STAGE 01

Crushproof Corrugated Mailer

Engineered with interlocking friction tabs. Withstands 200 lbs of side-wall compression without foam peanuts or shrink wrap.

STAGE 02

Laser-Engraved Archival Card

Resting directly on top of the bin. Side A catalogs all 30 part manifests; Side B embeds deep QR routing to video lessons and single-piece replacement.

STAGE 03

Rattle-Free Miniblock Caddy

Tiles nest snugly into calibrated vertical channels with 0.25mm perimeter clearance, eliminating transport rattle and chip wear.

STAGE 04

Gridfinity 3x1 Modularity

Integrates instantly with standard 42mm desktop grids. Stacks seamlessly under our SC-6 or SC-32 RPN hardware calculators.

• Classroom Pedagogy • Concrete-Representational-Abstract (CRA)

From the Teacher's Manual: Unit Lab Sheet

Unit 03b • Addition Doubles

Most traditional math teacher manuals treat dominoes as games of chance. In the StackCalc curriculum, the Domino Studio is an active laboratory tool connecting dot subitizing to mental addition doubles and discrete probability distributions.

STACKCALC MATH LABS // SERIES 03b STANDARDS: CCSS 1.OA.C.6 • 2.OA.B.2 • TEKS 111.3.b.3 PERIOD: 40 MIN STATION

Lab 03b: Tactile Doubles, Part-Whole Decomposition & Domino Probability

Investigation Goal: Prove addition doubles visually and kinesthetically using the doubling snap lid and 12-frame tray. Model the mental math transition from doubles (\(6+6=12\)) to near-doubles (\(6+7=13\)), then verify sum distributions across all 28 tiles.

□ PHASE 1: CONCRETE SPATIAL EXPLORATION (DOUBLING LID STAGE)

Sort the 30 domino tiles on your desk. Separate the 7 double tiles (\([0|0]\) through \([6|6]\)). Snap each double into its labeled lid socket:

Socket 1: 2+2 = 4 Snap the \([2|2]\) tile into the lid. Notice 2 dots on each side equal 4 total pips.
Socket 2: 5+5 = 10 Snap the \([5|5]\) tile into the lid. Fills the first 10 positions of a double ten-frame!
Socket 3: 6+6 = 12 Snap the \([6|6]\) tile into the lid. Fills the entire 12-frame regrouping tray.
≡ PHASE 2: REPRESENTATIONAL DATA & 12-FRAME DECOMPOSITION

Seat dominoes into the 6x2 tray. Record how sums bridge through 10 using the permanent tactile demarcation line:

Domino Tile [A|B] Addition Expression Base-10 Decomposition Total Pip Sum Category
[4|4] \(4 + 4\) \(8\) (Within 10) 8 Pure Double
[5|5] \(5 + 5\) 10 + 0 (Full Ten) 10 Ten Benchmark
[6|5] \(6 + 5 = (5 + 5) + 1\) 10 + 1 (Crosses Divider) 11 Near Double (+1)
[6|6] \(6 + 6 = 10 + 2\) 10 + 2 (Full Tray) 12 Max Double
Δ PHASE 3: ABSTRACT VERIFICATION (CALCULATOR EXECUTION)

1. Verify addition doubles rhythm on the SC-6 Elementary using skip-counting:

2 REP REP REP REP REP → LCD Displays: 4, 6, 8, 10, 12 (Doubles Rhythm)

2. High School Combinatorics on SC-32: Calculate total tiles in a double-\(n\) set (\(n=6\)):

7 ENTER 2 nCr 7 + → X-Register: 28.0000 (✓ 28 Unique Dominoes)
STACK X: 28.0000 (TOTAL DOMINOES) SAMPLE SPACE: 28 TILES THEORETICAL SUMS: 0 TO 12 ✓ EXACT MATCH TO DOUBLE-SIX SET
Teacher Diagnostic Note: When students struggle with near-doubles (e.g. \(6 + 7\)), they often revert to counting by ones on fingers. Have them locate the \([6|6]\) double tile first (\(6+6=12\)), snap it into the doubling lid, then add 1 more pip using a unit counter to get 13. This builds mental math chunking rather than slow procedural counting.
Sample Page 11 from the 36-page StackCalc RPN Math Labs Student Workbook.
• Related Instruments

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Combine domino doubles and 12-frame decomposition with tactile ten-frames and early calculating instruments.

SC-6 Elementary

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$49.00 Grades K–5
View SC-6 Calculator →
Ten-Frames Studio

Ten-Frames Studio Trays

Dual-tier 10-well tactile trays with 20 double-sided bicolor counters. Teaches five-and-ten structures in the identical 3x1 Gridfinity footprint.

$36.00 Place Value
View Ten-Frames →
Curriculum Workbook

36-Page Spiral Student Workbook

Features 20 dedicated laboratory investigations with step-by-step CRA worksheets, tactile token diagrams, teacher diagnostic notes, and full solutions key.

$24.00 Print + Digital
View Workbook & Decks →

Technical Specifications

Precision engineering tolerances for classroom durability.

Kit Footprint & Compatibility Standard 3x1x7U Gridfinity Box (125.5 × 42.0 × 49.0 mm) with universal 42mm base plugs
Domino Tile Specifications 30 miniblock tiles (38.6 × 19.0 × 8.85 mm, 7.0mm visible step) • 28 double-six + 2 blanks
12-Frame Tray Dimensions 117.0 × 38.6 × 8.85 mm • 6×2 miniblock array with bridge-through-10 tactile divider (10 + 2 = 12)
Doubling Snap Lid 12 miniblock stacking sockets with debossed tactile legends: 1+1 through 6+6 and sums 2 through 12
Material & Surface Finish Odorless non-toxic cornstarch PLA biopolymer • Technical fuzzy-skin micro-pebble texture housing
Safety & Compliance CPSIA Section 101 • ASTM F963 child-safety compliant • Ages 4+ • Free of BPA, phthalates, and PVC
Procurement Classification UNSPSC: 60101700 (Manipulatives) • NIGP: 785-70 • Title I & NSF STEM Grant Eligible

What's in the Box

Everything you need for hands-on classroom addition stations.

✓ 3x1x13U Gridfinity Enclosure Box with Snapfinity Bi-Directional Sliding Hard Lid and Architectural Louvers (Snap-on TPU non-skid feet sold separately)
✓ 6×2 12-Frame Regrouping & Alignment Tray (Cyan Silk PLA)
✓ Stackable Doubling Snap Lid with 12 Sockets & Legends (Matte Black PLA)
✓ 28x Double-Six Miniblock Domino Tiles [0|0] to [6|6] (Faceplate Polymer with 1064nm Laser-Foamed Pips)
✓ 2x Customizable Blank Miniblock Domino Tiles (Faceplate Polymer)
✓ Two-Sided 135×90mm Archival Reference Card (Side A: Manifest • Side B: Video QR Code)

Safety, Compliance & Guarantees

Certified for early childhood classrooms and durable active learning.

⚠ Mandatory Safety Warning (CPSIA / ASTM F963)

WARNING: CHOKING HAZARD – Small parts. Not for children under 3 years. Contains small miniblock tiles. Engineered for early elementary students in Grades Pre-K through 4 (ages 4 and up) under adult supervision.

✓ 100% Non-Toxic Cornstarch Biopolymers

Manufactured exclusively from odorless, non-toxic, renewable cornstarch PLA biopolymers. Certified free of BPA, phthalates, and PVC. Washable with warm soapy water.

⚒ "No Lost Piece Left Behind" $2.49 Replacement Guarantee

Classrooms see active daily use! If a student misplaces an individual domino, don't buy an entire new set. Order single replacement tiles using the Part ID on the companion card for just $2.49.

⚙ Universal Gridfinity Classroom Modularity

Built to the open-source Gridfinity 42mm standard. Enables instant 3-second visual inventory audits at the end of class so teachers know immediately if every piece is returned.

• 100% Free Open Hardware

Self-Manufacture & 3D Print Dominoes

Download our print-tested STLs for the 3x1 box, 12-frame regrouping tray, doubling lid, and 30 domino miniblock tiles.

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Part of the StackCalc Math Learning Ecosystem

The Math Domino Studio connects seamlessly with our Ten-Frames Studio, Fraction Towers, and SC-6 Elementary Calculator, providing educators and parents with a coherent concrete-to-abstract arithmetic pathway.