StackCalc 2-Sided Archival Reference Cards

Production Master Suite • 135mm x 90mm Form Factor • Calibrated Laser & Paper Profiles

ALGB-01: ALGEBRA FACTORING STUDIO & POLYNOMIAL TILES USER_GUIDE
Side A: In-Box User Guide (Front)
ALGEBRA FACTORING STUDIO & POLYNOMIAL TILES Kinesthetic Quadratics, Factoring & Polynomial Binomial Arrays STUDIO CONTINUUM:\n 1·Ten-Frames \n→\n 2·Dominoes \n→\n 3·Clock \n→\n 4·Fractions \n→\n 5·Primes \n→\n 6·Algebra \n→\n 7·Probability \n→\n 8·Volvelle \n→\n 9·SC-32 CARD 06 / 09 • ALGB-01 MATHEMATICAL REFERENCE 1. WHAT IS THIS MANIPULATIVE? GEOMETRIC AREA MODEL. MULTIPLY BY DIMENSION. Quadratic equations are not abstract pencil symbols.Polynomial tiles model multiplication geometrically: Area = Length × Width = (x + a)(x + b)Arranging tiles into a solid rectangle proves thatfactoring a trinomial is literally un-multiplying area! CALIBRATED POLYNOMIAL DATUM {xml_escape(dl)}\n{xml_escape(dl)}\n{xml_escape(dl)}\n{xml_escape(dl)}\n DUAL-STAGE FACTORING LID & L-RAILS Slide the two L-rails into the lid's precision channels toanchor the Cartesian origin. Align x-rods and unit tilesflush against rails to read binomial factors instantly! AREA MODEL: (x + 3)(x + 2) = x² + 5x + 6 x+2 x + 3 +x² 3x 2x +6 SOLID RECTANGLE Zero gaps, zero overlaps Linear: 3x + 2x = 5x Constant: 3 × 2 = 6 Un-multiplying area! 2. KIT PARTS INVENTORY (34 PIECES) COMPONENT QTY SPEC / DIMENSION PALETTE COLOR Quadratic (+x²) 1x 35.00 × 35.00 mm (5U×5U) Emerald Green Quadratic (-x²) 1x 35.00 × 35.00 mm (5U×5U) Royal Purple Linear Rod (+x) 5x 35.00 × 7.00 mm (5U×1U) Emerald Green Linear Rod (-x) 5x 35.00 × 7.00 mm (5U×1U) Royal Purple Constant (+1) 9x 7.00 × 7.00 mm (1U×1U) Warm Gold Constant (-1) 9x 7.00 × 7.00 mm (1U×1U) Crimson Red Corner L-Rails 2x 105.0 mm Cartesian Axis Slate Gray 3x1 Storage Bin 1x 49.0 mm Height (7U) Matte Charcoal Stage Lid 1x Dual-Stage Factoring Matte Charcoal TOTAL: 30 Math Tiles + 2 L-Rails + Storage Bin + Stage Lid = 34 Parts DUAL-COLOR SIGN CONVENTION (+ / -) {xml_escape(pl)}\n{xml_escape(pl)}\n{xml_escape(pl)}\n{xml_escape(pl)}\n 3. WHY KEEP THIS REFERENCE CARD? ✓ NO LOST PIECE LEFT BEHIND Classroom manipulatives get lost. Never abandon an incomplete set! Every individual math component is permanently stocked for single replacements. Scan back QR or visit stackcalc.io/parts Order individual replacement pieces anytime ✓ 10-SECOND SELF-CHECKING PACK-UP Pack-up is a built-in math game! Lay the two x² tiles flat onthe box floor, slot the 10 x-rods in side bays, and stack the 18unit cubes in center bays. L-rails snap securely into lid retention.Lid latches firmly for silent, rattle-free carry. ✓ HANDS-ON TUTORIAL ON REVERSE Flip this card over for a complete step-by-step hands-on lesson with concrete numbers, stage arrangements, calculator cross-references, and core mathematical principle breakthrough! Keep this card stored inside the box lid! STACKCALC ARCHIVAL INSTRUMENT LABS Designed in Mountain View, California, USA • Non-Toxic BPA-Free. Classroom Lab Crates (10x / 30x Stations): stackcalc.io/schools FUNDAMENTAL THEOREM OF ALGEBRA Every degree-n polynomial has exactly n complex roots counted with multiplicity. Modular Hardware Continuum (9 Kits) • Universal 7.00mm Datum • SIDE A: IN-BOX USER COMPANION GUIDE | OFFICE LASER PAPER SPEC OFFICIAL REFILL PORTAL stackcalc.io/parts Order individual replacement pieces anytime
Side B: Hands-On Tutorial & Video QR (Back)
SERIES 1 • CARD 06 OF 09 • DOMAIN: POLYNOMIAL GEOMETRY & BINOMIAL FACTORING • CARTESIAN L-RAILS • ZERO-PAIR TEXTURE CONTRAST LESSON GUIDE: FACTORING TRINOMIALS & BINOMIAL ARRAYS Step-by-Step Hands-On Tutorial: Factoring x² + 5x + 6 = (x+2)(x+3) Grades 7–11 Pre-Algebra & Algebra II • Hands-On Classroom & Home STEM Studio Series CARD 06 / 09 • ALGB-01 MATHEMATICAL GUIDE SCAN FOR 3D VIDEO DEMO \n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n OPEN CAMERA & SCAN stackcalc.io/products/algebra-boxes/ Zero app install • iPad & Chromebook CURRICULAR ALIGNMENT {xml_escape(st)}\n{xml_escape(st)}\n{xml_escape(st)}\n Grades 7–11 Pre-Algebra & Algebra II 💡 MATHEMATICAL INQUIRY Can you arrange the linear rods so the rec tangle closes completely without any gaps o r overlapping edges? 1 STEP 1: SEAT ORIGIN TILE (+x²) Slide the two L-rails into the lid corner to form the origin.Place the emerald +x² tile flush into the corner.Its 35.00 × 35.00 mm area establishes the quadratic core. 2 STEP 2: DISTRIBUTE 5x LINEAR RODS We need to distribute 5 positive x rods around the +x² tile.Place 3 rods along the top rail (horizontal dimension).Place 2 rods along the left rail (vertical dimension).Notice: 3 + 2 = 5 linear terms accounted for! 3-4 STEPS 3 & 4: COMPLETE RECTANGLE & SOLVE 3. COMPLETE THE RECTANGLE: Fill missing corner with 6 constant (+1) tiles!4. READ BINOMIAL DIMENSIONS: Horizontal width is (x + 3); vertical length is (x + 2). Total Area: (x + 2)(x + 3) = x² + 5x + 6!Calculator Verification: Press Polynomial Solver Icon ([↱][EQN] & [↱][POLY]) and run [↱] [POLY] 1 [A] 5 [B] 6 [C] 0 [D] [EXEC] [RCL] 1 [RCL] 3 → -2. 5 CORE PRINCIPLE: FACTORING IS UN-MULTIPLYING AREA Factoring a quadratic is literally finding the length and width of a rectangle! If the tilescannot form a solid rectangle without gaps, the trinomial is prime. Zero-pairs (+x and -x)let you model differences of squares x² - 4 with effortless physical cancellation! ★ EXTENSION INVESTIGATION: FACTOR: x² + 6x + 8 Arrange one +x² tile, six +x rods, and eight +1 units into a solid rectangle. What are its rail dimensions? (Scan QR for 3D animated solution!) → Assemble with your physical blocks, then scan the QR code to verify with the 3D step-by-step vector model. STACKCALC ARCHIVAL INSTRUMENT LABS Interactive Mathematics Manipulative Ecosystem. Designed in Mountain View, California • Archival BPA-Free POM/PETG. CROSS-REFERENCED CALCULATOR VERIFICATION Every keystroke sequence verified with RPNCore CalculatorEngine. Modular Hardware Continuum (9 Kits) • Universal 7.00mm Pitch • stackcalc.io PARTS & SCHOOL REFILL PORTAL stackcalc.io/parts Classroom Lab Crates: stackcalc.io/schools
FRAC-01: FRACTION STUDIO PROPORTIONAL TOWERS USER_GUIDE
Side A: In-Box User Guide (Front)
FRACTION STUDIO PROPORTIONAL TOWERS 4-Way Multi-Notational Fraction Blocks (1/1 to 1/12) STUDIO CONTINUUM:\n 1·Ten-Frames \n→\n 2·Dominoes \n→\n 3·Clock \n→\n 4·Fractions \n→\n 5·Primes \n→\n 6·Algebra \n→\n 7·Probability \n→\n 8·Volvelle \n→\n 9·SC-32 CARD 04 / 09 • FRAC-01 MATHEMATICAL REFERENCE 1. WHAT IS THIS MANIPULATIVE? PROPORTIONAL HEIGHT & 4-WAY MULTI-NOTATION Fractions are numbers, proportions, and geometric lengths.Every Fraction Studio block encodes 4 representations on its faces: Fraction • Decimal • Percent • Central Angle1/4 = 0.25 = 25% = 90°. When you compare fraction towers,equal physical height directly proves mathematical equivalence! UNIVERSAL 84.00 MM WHOLE DATUM {xml_escape(dl)}\n{xml_escape(dl)}\n{xml_escape(dl)}\n{xml_escape(dl)}\n TWIN COMPARATOR WELL LID & STAGE Flip the 7U lid over to reveal the twin comparison stage.Stand two fraction towers side-by-side in the dual wells —common denominators and inequality signs are visible instantly! PROPORTIONAL EQUIVALENCE: 1/3 + 1/6 = 1/2 [ 1/1 ] 84.0 mm 1 WHOLE [ 1/2 ] HALF (42mm) [ 1/3 ] [ 1/6 ] SUM STACK FLUSH SUMMIT = 50% 33.3% + 16.7% = 50.0% 120° + 60° = 180° 2. KIT PARTS INVENTORY (80 PIECES) COMPONENT QTY SPEC / DIMENSION PALETTE COLOR Whole [1/1] 1x 84.00 mm (12U = 1 Whole) Classic White Halves [1/2] 2x 42.00 mm (6U = 50.0%) Warm Gold Thirds [1/3] 3x 28.00 mm (4U = 33.3%) Emerald Green Fourths [1/4] 4x 21.00 mm (3U = 25.0%) Royal Purple Fifths [1/5] 5x 16.80 mm (2.4U = 20.0%) Sky Blue Sixths [1/6] 6x 14.00 mm (2U = 16.7%) Coral Orange Eighths [1/8] 8x 10.50 mm (1.5U = 12.5%) Warm Gold Tenths [1/10] 10x 8.40 mm (1.2U = 10.0%) Sky Blue Twelfths [1/12] 12x 7.00 mm (1U = 8.3%) Slate Gray Mini-Fractions 27x 7.00 mm Fractional Units Assorted Family 3x1 Box & Lid 2x 49.0 mm Storage & Stage Matte Charcoal TOTAL: 78 Proportional Math Blocks + Storage Bin + Stage Lid = 80 Parts FAMILY COLOR CODING SCHEME {xml_escape(pl)}\n{xml_escape(pl)}\n{xml_escape(pl)}\n{xml_escape(pl)}\n 3. WHY KEEP THIS REFERENCE CARD? ✓ NO LOST PIECE LEFT BEHIND Classroom manipulatives get lost. Never abandon an incomplete set! Every individual math component is permanently stocked for single replacements. Scan back QR or visit stackcalc.io/parts Order individual replacement pieces anytime ✓ 10-SECOND SELF-CHECKING PACK-UP Pack-up is a built-in math game! Stand each fraction family inits designated graduated slot. All full families level off at the84.00 mm rim. A missing piece leaves an immediately visible gap.Comparison stage lid snaps flush for silent zero-rattle carry. ✓ HANDS-ON TUTORIAL ON REVERSE Flip this card over for a complete step-by-step hands-on lesson with concrete numbers, stage arrangements, calculator cross-references, and core mathematical principle breakthrough! Keep this card stored inside the box lid! STACKCALC ARCHIVAL INSTRUMENT LABS Designed in Mountain View, California, USA • Non-Toxic BPA-Free. Classroom Lab Crates (10x / 30x Stations): stackcalc.io/schools FUNDAMENTAL THEOREM OF RATIONAL ARITHMETIC Proportional height is strictly preserved under common denominator fraction addition. Modular Hardware Continuum (9 Kits) • Universal 7.00mm Datum • SIDE A: IN-BOX USER COMPANION GUIDE | OFFICE LASER PAPER SPEC OFFICIAL REFILL PORTAL stackcalc.io/parts Order individual replacement pieces anytime
Side B: Hands-On Tutorial & Video QR (Back)
SERIES 1 • CARD 04 OF 09 • DOMAIN: PROPORTIONAL TOWERS & MULTI-NOTATION EQUIVALENCE • 84.0mm 1/1 WHOLE • 4-WAY COMPARISON FACES LESSON GUIDE: COMMON DENOMINATOR ADDITION & EQUIVALENCE Step-by-Step Hands-On Tutorial: 1/3 + 1/4 = 7/12 & 4-Way Multi-Notation Grades 3–8 Fractions & Proportional Reasoning • Hands-On Classroom & Home STEM Studio Series CARD 04 / 09 • FRAC-01 MATHEMATICAL GUIDE SCAN FOR 3D VIDEO DEMO \n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n OPEN CAMERA & SCAN stackcalc.io/products/fraction-studio/ Zero app install • iPad & Chromebook CURRICULAR ALIGNMENT {xml_escape(st)}\n{xml_escape(st)}\n{xml_escape(st)}\n Grades 3–8 Fractions & Proportional Reasoning 💡 MATHEMATICAL INQUIRY Which smaller block family levels off flus h with both fraction towers in the comparis on slot? 1 STEP 1: SEAT 1/1 WHOLE IN REFERENCE WELL Place the 84.00 mm Whole [1/1] block in the left reference slot.Its 4 faces show: 1/1, 1.00, 100%, and 360°.This physical block establishes the 100% benchmark height. 2 STEP 2: STACK 1/3 AND 1/4 BLOCKS Place one [1/3] block (28.00 mm) in the right comparison well.Stack one [1/4] block (21.00 mm) directly on top of the [1/3].Total combined height: 28.00 + 21.00 = 49.00 mm.Notice: neither thirds nor fourths alone measure this sum! 3-4 STEPS 3 & 4: TEST TWELFTHS & SOLVE 3. TEST COMMON TWELFTHS: Stack 7 twelfths: 7 × 7.00 mm = exactly 49.00 mm! Flush summit!4. READ 4-WAY FACES: 0.333 + 0.250 = 0.583; 120° + 90° = 210°.Calculator Verification: Press Fraction Display Icon ([FDISP] & [g][SIMP]) and run 1 [ENTER] 3 [÷] 1 [ENTER] 4 [÷] [+] [FDISP] → 7/12. 5 CORE PRINCIPLE: COMMON DENOMINATORS ARE COMMON SIZES You cannot directly add thirds and fourths because their blocks are different physical heights!Converting to twelfths (4/12 + 3/12 = 7/12) literally swaps disparate pieces for identical7.00 mm unit blocks so their heights can be counted directly! ★ EXTENSION INVESTIGATION: ADD: 1/2 + 1/3 Seat [1/2] (42mm) and [1/3] (28mm) together. Test sixths: how many [1/6] blocks reach the exact 70.0mm summit? (Scan QR for 3D animated solution!) → Assemble with your physical blocks, then scan the QR code to verify with the 3D step-by-step vector model. STACKCALC ARCHIVAL INSTRUMENT LABS Interactive Mathematics Manipulative Ecosystem. Designed in Mountain View, California • Archival BPA-Free POM/PETG. CROSS-REFERENCED CALCULATOR VERIFICATION Every keystroke sequence verified with RPNCore CalculatorEngine. Modular Hardware Continuum (9 Kits) • Universal 7.00mm Pitch • stackcalc.io PARTS & SCHOOL REFILL PORTAL stackcalc.io/parts Classroom Lab Crates: stackcalc.io/schools
TIME-01: CLASSROOM PLANETARY CLOCK & INTERVAL SYSTEM USER_GUIDE
Side A: In-Box User Guide (Front)
CLASSROOM PLANETARY CLOCK & INTERVAL SYSTEM Kinesthetic Time, Epicyclic 12:1 Gears & Modular Arithmetic STUDIO CONTINUUM:\n 1·Ten-Frames \n→\n 2·Dominoes \n→\n 3·Clock \n→\n 4·Fractions \n→\n 5·Primes \n→\n 6·Algebra \n→\n 7·Probability \n→\n 8·Volvelle \n→\n 9·SC-32 CARD 03 / 09 • TIME-01 MATHEMATICAL REFERENCE 1. WHAT IS THIS MANIPULATIVE? EPICYCLIC 12:1 GEARS & MODULO ARITHMETIC Time is continuous rotational motion and modular arithmetic.The StackCalc Classroom Clock features an internal compound gearset: 12:1 Exact Planetary Reduction RatioWhen the minute hand completes 1 full revolution (360°),the planetary sun-and-planet gears advance the hour hand by 30°! CALIBRATED 60-MINUTE / 12-HOUR DATUM {xml_escape(dl)}\n{xml_escape(dl)}\n{xml_escape(dl)}\n{xml_escape(dl)}\n CLOCK STAND LID & MODULAR WEDGE BAYS The 7U storage lid features an angled desktop easel stand andcolor-coded radial slots to store 15-min, 30-min, and 5-min wedges.Drop wedges into the dial to measure elapsed time kinesthetically! PLANETARY GEARS: 12:1 RATIO AT 3:30 (105°) 12 3 6 9 12:1 EPICYCLIC GEARS 360° min → 30° hour At 3:30: Hour hand = 105° 15-Min Quadrant Wedge: 90° arc = 1/4 of an hour Modulo 12 & Modulo 60 2. KIT PARTS INVENTORY (18 PIECES) COMPONENT QTY SPEC / DIMENSION PALETTE COLOR Geared Clock Frame 1x 105.0 mm Dial (12h/60m) Slate Gray 12:1 Epicyclic Gear 1x Internal Sun-Planet Mesh Gold / Blue 15-Min Wedges 4x 90° Quadrant (1/4 Hour) Sky Blue 30-Min Wedges 2x 180° Semicircle (1/2 Hour) Royal Purple 5-Min Wedges 8x 30° Hour Sector (1/12th) Emerald Green Display Stand Lid 1x Clock Stand & Wedge Bay Matte Charcoal 3x1 Storage Bin 1x 49.0 mm Height (7U) Matte Charcoal TOTAL: 16 Clock & Wedge Components + Storage Bin + Stand Lid = 18 Parts FRACTION-ALIGNED TIME PALETTE {xml_escape(pl)}\n{xml_escape(pl)}\n{xml_escape(pl)}\n{xml_escape(pl)}\n 3. WHY KEEP THIS REFERENCE CARD? ✓ NO LOST PIECE LEFT BEHIND Classroom manipulatives get lost. Never abandon an incomplete set! Every individual math component is permanently stocked for single replacements. Scan back QR or visit stackcalc.io/parts Order individual replacement pieces anytime ✓ 10-SECOND SELF-CHECKING PACK-UP Pack-up is a built-in math game! Seat the clock frame into itsrecessed bottom cradle. Drop the 14 colored wedges into theirlabeled radial lid bays. Any missing wedge leaves an empty bay.Easel lid latches firmly for silent, rattle-free carry. ✓ HANDS-ON TUTORIAL ON REVERSE Flip this card over for a complete step-by-step hands-on lesson with concrete numbers, stage arrangements, calculator cross-references, and core mathematical principle breakthrough! Keep this card stored inside the box lid! STACKCALC ARCHIVAL INSTRUMENT LABS Designed in Mountain View, California, USA • Non-Toxic BPA-Free. Classroom Lab Crates (10x / 30x Stations): stackcalc.io/schools MODULO ARITHMETIC & CONTINUOUS RATIOS Clock arithmetic is modulo 12 and modulo 60 governed by strict continuous gear kinematics. Modular Hardware Continuum (9 Kits) • Universal 7.00mm Datum • SIDE A: IN-BOX USER COMPANION GUIDE | OFFICE LASER PAPER SPEC OFFICIAL REFILL PORTAL stackcalc.io/parts Order individual replacement pieces anytime
Side B: Hands-On Tutorial & Video QR (Back)
SERIES 1 • CARD 03 OF 09 • DOMAIN: KINEMATIC GEAR RATIOS & MODULAR ARITHMETIC • 12:1 EPICYCLIC REDUCTION • 15-MIN QUADRANT WEDGES LESSON GUIDE: ELAPSED TIME & PLANETARY GEAR RATIOS Step-by-Step Hands-On Tutorial: 3:30 + 0:45 = 4:15 & Modular Time Grades 2–6 Measurement, Time & Modular Math • Hands-On Classroom & Home STEM Studio Series CARD 03 / 09 • TIME-01 MATHEMATICAL GUIDE SCAN FOR 3D VIDEO DEMO \n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n OPEN CAMERA & SCAN stackcalc.io/products/classroom-clock/ Zero app install • iPad & Chromebook CURRICULAR ALIGNMENT {xml_escape(st)}\n{xml_escape(st)}\n{xml_escape(st)}\n Grades 2–6 Measurement, Time & Modular Math 💡 MATHEMATICAL INQUIRY How far does the hour hand travel when the minute hand turns one full circle around t he dial? 1 STEP 1: SET START TIME TO 3:30 Rotate the minute hand to 6 (bottom of dial, 30 minutes).Observe the internal gears: the hour hand advances smoothlyhalfway between 3 and 4 (exactly 105° on the dial). 2 STEP 2: INSERT 15-MINUTE WEDGES We need to add 45 minutes of elapsed time.Insert three 15-minute quadrant wedges (3 × 15 min = 45 min).The 3 wedges cover 3 × 90° = 270° of angular arc around the dial.The wedges clearly bridge past the 12 o'clock hour boundary! 3-4 STEPS 3 & 4: ADVANCE GEARS & READ RESULT 3. ADVANCE MINUTE HAND: Turn hand clockwise across the 3 wedges past 4:00 to 4:15!4. READ FINAL TIME: Hour hand at 4:15; minute hand at 3 (15 min).Calculator Verification: Press Clock HMS Icon ([🕒] / [g][▸HMS] / [f][▸HR]) and run 3.30 [f] [▸HR] 0.45 [f] [▸HR] [+] [g] [▸HMS] → 4.15. 5 CORE PRINCIPLE: TIME IS CONTINUOUS KINEMATIC RATIO Digital clocks make students think hour hands jump instantly when minutes reach 60. The planetarygears physically prove that time is a continuous ratio! Because 45 minutes is 3/4 of an hour,the hour hand moves through exactly 3/4 of its 30° sector (22.5°), landing precisely at 4:15! ★ EXTENSION INVESTIGATION: ELAPSED TIME: 8:45 + 1:30 Set clock to 8:45. Add two 45-minute wedges (90 min). Where does the planetary gear place the hour hand? (Scan QR for 3D animated solution!) → Assemble with your physical blocks, then scan the QR code to verify with the 3D step-by-step vector model. STACKCALC ARCHIVAL INSTRUMENT LABS Interactive Mathematics Manipulative Ecosystem. Designed in Mountain View, California • Archival BPA-Free POM/PETG. CROSS-REFERENCED CALCULATOR VERIFICATION Every keystroke sequence verified with RPNCore CalculatorEngine. Modular Hardware Continuum (9 Kits) • Universal 7.00mm Pitch • stackcalc.io PARTS & SCHOOL REFILL PORTAL stackcalc.io/parts Classroom Lab Crates: stackcalc.io/schools
BASE-10: TEN-FRAMES & PLACE VALUE ARITHMETIC LAB USER_GUIDE
Side A: In-Box User Guide (Front)
TEN-FRAMES & PLACE VALUE ARITHMETIC LAB 5-Anchor Subitizing, Regrouping & Base-10 Manipulatives STUDIO CONTINUUM:\n 1·Ten-Frames \n→\n 2·Dominoes \n→\n 3·Clock \n→\n 4·Fractions \n→\n 5·Primes \n→\n 6·Algebra \n→\n 7·Probability \n→\n 8·Volvelle \n→\n 9·SC-32 CARD 01 / 09 • BASE-10 MATHEMATICAL REFERENCE 1. WHAT IS THIS MANIPULATIVE? 5-ANCHOR SUBITIZING & BRIDGING TO 10 The human eye can only subitize 4 to 5 objects without counting.Ten-frames visually organize numbers into 5-anchors and complements: Number = 5 + n and 10 = n + (10 - n)Seeing 8 as '5 on top and 3 on bottom' turns mental additionfrom slow finger-counting into instant visual pattern recognition! CALIBRATED 14.00 MM SUBITIZING GRID {xml_escape(dl)}\n{xml_escape(dl)}\n{xml_escape(dl)}\n{xml_escape(dl)}\n TWIN 10-FRAME STAGE LID & REGROUPING The lid features two side-by-side 10-frame stages. Place countersin both frames to model 2-digit addition and place-value bridgingacross 10 without losing track of regrouped units! 5-ANCHOR SUBITIZING: 5 + 3 = 8 (TEN'S COMP = 2) INSTANT SUBITIZING Top Row: 5 Blue (anchor) Bottom Row: 3 Red (8 total) 2 Empty Slots: 10 - 8 = 2 Ten's Complement Bridge to 10: 8 + 5 = 13 2. KIT PARTS INVENTORY (34 PIECES) COMPONENT QTY SPEC / DIMENSION PALETTE COLOR 10-Frame Trays 2x 140.0 × 56.0 mm (2×5 Grid) Matte Charcoal Two-Color Counters 20x 14.0 mm ⌀ (Blue / Red) Dual-Sided Base-10 Rods (10s) 10x 70.0 × 7.00 mm (10U) Warm Gold Twin Stage Lid 1x Side-by-Side 10-Frame Matte Charcoal 3x1 Storage Bin 1x 49.0 mm Height (7U) Matte Charcoal TOTAL: 32 Manipulatives + Storage Bin + Twin Stage Lid = 34 Parts DUAL-COLOR HIGH-CONTRAST PALETTE {xml_escape(pl)}\n{xml_escape(pl)}\n{xml_escape(pl)}\n{xml_escape(pl)}\n 3. WHY KEEP THIS REFERENCE CARD? ✓ NO LOST PIECE LEFT BEHIND Classroom manipulatives get lost. Never abandon an incomplete set! Every individual math component is permanently stocked for single replacements. Scan back QR or visit stackcalc.io/parts Order individual replacement pieces anytime ✓ 10-SECOND SELF-CHECKING PACK-UP Pack-up is a built-in math game! Populate both 10-frames with10 counters each (all 20 counters accounted for). Lay the 10 goldrods into the center trough. Any empty well instantly spots a piece.Twin stage lid snaps flush for silent zero-rattle carry. ✓ HANDS-ON TUTORIAL ON REVERSE Flip this card over for a complete step-by-step hands-on lesson with concrete numbers, stage arrangements, calculator cross-references, and core mathematical principle breakthrough! Keep this card stored inside the box lid! STACKCALC ARCHIVAL INSTRUMENT LABS Designed in Mountain View, California, USA • Non-Toxic BPA-Free. Classroom Lab Crates (10x / 30x Stations): stackcalc.io/schools DECIMAL PLACE-VALUE REGROUPING THEOREM Base-10 positional notation decomposes any integer into powers of 10 with digits 0 through 9. Modular Hardware Continuum (9 Kits) • Universal 7.00mm Datum • SIDE A: IN-BOX USER COMPANION GUIDE | OFFICE LASER PAPER SPEC OFFICIAL REFILL PORTAL stackcalc.io/parts Order individual replacement pieces anytime
Side B: Hands-On Tutorial & Video QR (Back)
SERIES 1 • CARD 01 OF 09 • DOMAIN: PLACE VALUE & 5-ANCHOR SUBITIZING • 7.00mm 1U PITCH • 10-FRAME STACKING SLOTS LESSON GUIDE: MAKE-A-TEN BRIDGE & 5-ANCHOR SUBITIZING Step-by-Step Hands-On Tutorial: 8 + 5 = 13 via Bridging to 10 Grades K–3 Subitizing, Place Value & Addition • Hands-On Classroom & Home STEM Studio Series CARD 01 / 09 • BASE-10 MATHEMATICAL GUIDE SCAN FOR 3D VIDEO DEMO \n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n OPEN CAMERA & SCAN stackcalc.io/products/ten-frames/ Zero app install • iPad & Chromebook CURRICULAR ALIGNMENT {xml_escape(st)}\n{xml_escape(st)}\n{xml_escape(st)}\n Grades K–3 Subitizing, Place Value & Addition 💡 MATHEMATICAL INQUIRY How many empty spots are left in Frame A b efore you start moving counters from Frame B? 1 STEP 1: POPULATE 8 ON TEN-FRAME A Place 8 blue counters in Ten-Frame A.Fill the top row (5 blue) and bottom row (3 blue).Instant Subitizing: 5 + 3 = 8 (zero counting needed!).Notice: exactly 2 slots remain empty to complete the ten. 2 STEP 2: POPULATE 5 ON TEN-FRAME B Place 5 red counters in Ten-Frame B (fills top row of 5).We want to calculate 8 + 5 without counting by ones.Frame A needs 2 counters to bridge to 10. 3-4 STEPS 3 & 4: BRIDGE TO 10 & REGROUP 3. BRIDGE TO 10: Move 2 red counters from B to A. Frame A is now 1 Ten (10)!4. READ REMAINING ONES: Frame B has 3 red counters left. Total: 10 + 3 = 13!Keystrokes: Ten-Frame Icon ([▦] & [PV]) 8 [ENTER] 2 [+] 5 [+] [▦] → 15. 5 CORE PRINCIPLE: ADDITION IS BRIDGING, NOT COUNTING Counting on fingers by ones is slow and error-prone. The 10-frame proves that addition isdecomposing numbers into friendly anchors: 8 + 5 = 8 + (2 + 3) = (8 + 2) + 3 = 10 + 3 = 13!Once students see the 2 empty spaces in the 8-frame, they instantly know to borrow 2 from the 5! ★ EXTENSION INVESTIGATION: BRIDGE TO 10: 7 + 6 Put 7 in Frame A (3 empty). Put 6 in Frame B. Move 3 to make a ten. How many are left in B? 10 + 3 = 13! (Scan QR for 3D animated solution!) → Assemble with your physical blocks, then scan the QR code to verify with the 3D step-by-step vector model. STACKCALC ARCHIVAL INSTRUMENT LABS Interactive Mathematics Manipulative Ecosystem. Designed in Mountain View, California • Archival BPA-Free POM/PETG. CROSS-REFERENCED CALCULATOR VERIFICATION Every keystroke sequence verified with RPNCore CalculatorEngine. Modular Hardware Continuum (9 Kits) • Universal 7.00mm Pitch • stackcalc.io PARTS & SCHOOL REFILL PORTAL stackcalc.io/parts Classroom Lab Crates: stackcalc.io/schools
DOMI-01: MATH DOMINO STUDIO & 12-FRAME REGROUPING LAB USER_GUIDE
Side A: In-Box User Guide (Front)
MATH DOMINO STUDIO & 12-FRAME REGROUPING LAB Triangular Combinatorics, Subitizing & Part-Whole Decompositions STUDIO CONTINUUM:\n 1·Ten-Frames \n→\n 2·Dominoes \n→\n 3·Clock \n→\n 4·Fractions \n→\n 5·Primes \n→\n 6·Algebra \n→\n 7·Probability \n→\n 8·Volvelle \n→\n 9·SC-32 CARD 02 / 09 • DOMI-01 MATHEMATICAL REFERENCE 1. WHAT IS THIS MANIPULATIVE? TRIANGULAR COMBINATORICS & PART-WHOLE PAIRS A double-six domino set is a complete triangular combinatorics system.It contains all unordered pairs [a|b] from 0 to 6: Total Tiles = T(7) = (7 × 8) / 2 = 28 Unique TilesDomino pips reinforce dice-pattern subitizing while each tileacts as a two-part additive partition of whole numbers 0 to 12! MODULAR 28.0 × 14.0 MM TILE DATUM {xml_escape(dl)}\n{xml_escape(dl)}\n{xml_escape(dl)}\n{xml_escape(dl)}\n 12-FRAME REGROUPING TRAY & DOUBLES LID The modular lid features a partitioned 7-slot doubles spinerail [0|0] through [6|6] and a dual 6-bay regrouping tray tobuild associative trains and model part-whole sums up to 14! DOMINO SUBITIZING & SUM: [5|4] + [3|2] = 14 [5|4] = 9 [3|2] = 5 PART-WHOLE ADDITION [5|4] pips = 9 [3|2] pips = 5 Total: 9 + 5 = 14 T(7) = 7×8/2 = 28 Tiles Double-Six Combinatorics 2. KIT PARTS INVENTORY (33 PIECES) COMPONENT QTY SPEC / DIMENSION PALETTE COLOR Double-Six Tiles 28x 28.0 × 14.0 × 7.0 mm (T7) Stealth Black Wildcard Blanks 2x 28.0 × 14.0 × 7.0 mm [ | ] Stealth Black 12-Frame Regroup Tray 1x Dual 6-Bay Tactile Stage Matte Charcoal Doubles Organizer Lid 1x 7-Slot Doubles Spine Rail Matte Charcoal 3x1 Storage Bin 1x 49.0 mm Height (7U) Matte Charcoal TOTAL: 30 Domino Tiles + 12-Frame Tray + Doubles Lid + Storage Bin = 33 Parts HIGH-CONTRAST PIPS & TEXTURE {xml_escape(pl)}\n{xml_escape(pl)}\n{xml_escape(pl)}\n{xml_escape(pl)}\n 3. WHY KEEP THIS REFERENCE CARD? ✓ NO LOST PIECE LEFT BEHIND Classroom manipulatives get lost. Never abandon an incomplete set! Every individual math component is permanently stocked for single replacements. Scan back QR or visit stackcalc.io/parts Order individual replacement pieces anytime ✓ 10-SECOND SELF-CHECKING PACK-UP Pack-up is a built-in math game! Arrange the 28 standard tilesand 2 wildcards into four neat columns of 7 and one row of 2 inthe box floor. A missing tile breaks the smooth rectangular brick!Organizer lid snaps flush for silent zero-rattle carry. ✓ HANDS-ON TUTORIAL ON REVERSE Flip this card over for a complete step-by-step hands-on lesson with concrete numbers, stage arrangements, calculator cross-references, and core mathematical principle breakthrough! Keep this card stored inside the box lid! STACKCALC ARCHIVAL INSTRUMENT LABS Designed in Mountain View, California, USA • Non-Toxic BPA-Free. Classroom Lab Crates (10x / 30x Stations): stackcalc.io/schools TRIANGULAR NUMBER COMBINATORIAL THEOREM The number of unordered pairs chosen with replacement from n elements is T(n) = n(n+1)/2. Modular Hardware Continuum (9 Kits) • Universal 7.00mm Datum • SIDE A: IN-BOX USER COMPANION GUIDE | OFFICE LASER PAPER SPEC OFFICIAL REFILL PORTAL stackcalc.io/parts Order individual replacement pieces anytime
Side B: Hands-On Tutorial & Video QR (Back)
SERIES 1 • CARD 02 OF 09 • DOMAIN: DISCRETE COMBINATORICS & PARTITIONS • 7.00mm 1U PITCH • T(7)=28 TRIANGULAR TILES LESSON GUIDE: TRIANGULAR COMBINATORICS & PART-WHOLE SUMS Step-by-Step Hands-On Tutorial: T(7) = 28 Tiles & [5|4] + [3|2] = 14 Grades K–5 Addition, Part-Whole & Combinatorics • Hands-On Classroom & Home STEM Studio Series CARD 02 / 09 • DOMI-01 MATHEMATICAL GUIDE SCAN FOR 3D VIDEO DEMO \n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n OPEN CAMERA & SCAN stackcalc.io/products/math-dominoes/ Zero app install • iPad & Chromebook CURRICULAR ALIGNMENT {xml_escape(st)}\n{xml_escape(st)}\n{xml_escape(st)}\n Grades K–5 Addition, Part-Whole & Combinatorics 💡 MATHEMATICAL INQUIRY If you flip a domino end-for-end, does the total pip sum change? Why or why not? 1 STEP 1: LINE UP DOUBLES SPINE [0|0] TO [6|6] Place the 7 double tiles in the lid's organizer spine:[0|0]=0, [1|1]=2, [2|2]=4, [3|3]=6, [4|4]=8, [5|5]=10, [6|6]=12.These 7 doubles form the diagonal spine of the 28-tile triangle! 2 STEP 2: PAIR COMPLEMENTARY SUM-TO-6 TILES Find tiles whose pip sum equals 6: [0|6], [1|5], [2|4], [3|3].Place them in the 12-frame tray side by side.Observe the inverse symmetry: as left side increases by 1,the right side decreases by 1, preserving the constant sum 6! 3-4 STEPS 3 & 4: COMBINE TILES & REGROUP 3. COMBINE TWO TILES: Take tile [5|4] (sum 9) and [3|2] (sum 5). Seat in 12-frame tray.4. CALCULATE SUM: 9 + 5 = 14! (1 full 10-frame + 4 ones).Calculator Verification: Press Domino Pip Pattern Icon ([g][COUNT] & [g][a:b]) and run 5 [ENTER] 4 [+] 3 [ENTER] 2 [+] [+] → 14. 5 CORE PRINCIPLE: THE 28-TILE TRIANGULAR NUMBER SECRET Why are there exactly 28 tiles? Count them by their highest pip: 7 tiles have a 0 ([0|0]..[0|6]),6 new tiles have a 1 ([1|1]..[1|6]), 5 have a 2, down to 1 tile with a 6 ([6|6]).Sum: 7 + 6 + 5 + 4 + 3 + 2 + 1 = 28! Dominoes are triangular numbers made tactile! ★ EXTENSION INVESTIGATION: FIND ALL SUM-TO-7 TILES Can you find all 3 tiles that sum to 7: [1|6], [2|5], and [3|4]? Why is there no [0|7] tile in a double-six set? (Scan QR for 3D animated solution!) → Assemble with your physical blocks, then scan the QR code to verify with the 3D step-by-step vector model. STACKCALC ARCHIVAL INSTRUMENT LABS Interactive Mathematics Manipulative Ecosystem. Designed in Mountain View, California • Archival BPA-Free POM/PETG. CROSS-REFERENCED CALCULATOR VERIFICATION Every keystroke sequence verified with RPNCore CalculatorEngine. Modular Hardware Continuum (9 Kits) • Universal 7.00mm Pitch • stackcalc.io PARTS & SCHOOL REFILL PORTAL stackcalc.io/parts Classroom Lab Crates: stackcalc.io/schools
PROB-01: PROBABILITY DICE & MODULAR SPINNER PACK USER_GUIDE
Side A: In-Box User Guide (Front)
PROBABILITY DICE & MODULAR SPINNER PACK Random Variables, Sample Spaces & Statistical Distributions STUDIO CONTINUUM:\n 1·Ten-Frames \n→\n 2·Dominoes \n→\n 3·Clock \n→\n 4·Fractions \n→\n 5·Primes \n→\n 6·Algebra \n→\n 7·Probability \n→\n 8·Volvelle \n→\n 9·SC-32 CARD 07 / 09 • PROB-01 MATHEMATICAL REFERENCE 1. WHAT IS THIS MANIPULATIVE? SAMPLE SPACES, 2d6 SUMS & NORMAL CURVES Randomness follows strict mathematical combinatorial laws.Rolling two standard 6-sided dice produces 36 equiprobable outcomes: Sample Space = 6 × 6 = 36 Pair OutcomesWhile each individual pair has a 1/36 chance, the sum of 2d6forms a triangular distribution peaking at 7 with P = 6/36 = 1/6! CALIBRATED 16.00 MM FAIR DICE DATUM {xml_escape(dl)}\n{xml_escape(dl)}\n{xml_escape(dl)}\n{xml_escape(dl)}\n 2d6 SAMPLE SPACE GRID & SPINNER POST The 7U storage lid features an engraved 6 × 6 outcome matrix anda central mounting post for the low-friction spinner. Record trialsand watch experimental frequency converge to theoretical probability! 2d6 SUM PROBABILITY: TRIANGULAR PEAK AT 7 (6/36) 2 7 12 PEAK AT 7 (16.7%) 6 / 36 Combinations Symmetric Triangle Sample Space: 6×6 = 36 Birth of the Bell Curve 2. KIT PARTS INVENTORY (14 PIECES) COMPONENT QTY SPEC / DIMENSION PALETTE COLOR Precision Fair d6 4x 16.0 mm Volume-Balanced High-Contrast Polyhedral d20 Die 1x 20-Sided Icosahedron Emerald Green Low-Friction Spinner 1x Brass Pivot Precision Hub High-Spin Brass Interchangeable Dials 4x 10-Sector / Binary / Custom Polymer Plates 2d6 Sample Space Lid 1x 36-Outcome Matrix Grid Matte Charcoal 3x1 Storage Bin 1x 49.0 mm Height (7U) Matte Charcoal TOTAL: 10 Working Parts + 2 Extra Dials + Storage Bin + Lid = 14 Parts PROBABILITY DISTRIBUTION PALETTE {xml_escape(pl)}\n{xml_escape(pl)}\n{xml_escape(pl)}\n{xml_escape(pl)}\n 3. WHY KEEP THIS REFERENCE CARD? ✓ NO LOST PIECE LEFT BEHIND Classroom manipulatives get lost. Never abandon an incomplete set! Every individual math component is permanently stocked for single replacements. Scan back QR or visit stackcalc.io/parts Order individual replacement pieces anytime ✓ 10-SECOND SELF-CHECKING PACK-UP Pack-up is a built-in math game! Seat the 4 d6 dice and 1 d20 intotheir molded bottom bays. Stack the spinner dials flat and clickthe brass spinner hub onto its retention post. Any empty bay shows.Lid latches firmly for silent, rattle-free carry. ✓ HANDS-ON TUTORIAL ON REVERSE Flip this card over for a complete step-by-step hands-on lesson with concrete numbers, stage arrangements, calculator cross-references, and core mathematical principle breakthrough! Keep this card stored inside the box lid! STACKCALC ARCHIVAL INSTRUMENT LABS Designed in Mountain View, California, USA • Non-Toxic BPA-Free. Classroom Lab Crates (10x / 30x Stations): stackcalc.io/schools CENTRAL LIMIT THEOREM & LAW OF LARGE NUMBERS The sum of independent random variables tends toward a normal distribution as sample size grows. Modular Hardware Continuum (9 Kits) • Universal 7.00mm Datum • SIDE A: IN-BOX USER COMPANION GUIDE | OFFICE LASER PAPER SPEC OFFICIAL REFILL PORTAL stackcalc.io/parts Order individual replacement pieces anytime
Side B: Hands-On Tutorial & Video QR (Back)
SERIES 1 • CARD 07 OF 09 • DOMAIN: SAMPLE SPACES & PROBABILITY DISTRIBUTIONS • 2d6 36-OUTCOME MATRIX • WEIGHTED HARMONIC SPINNER LESSON GUIDE: 2d6 SAMPLE SPACES & INDEPENDENT EVENTS Step-by-Step Hands-On Tutorial: Why 7 is the Most Likely Roll (P = 6/36) Grades 5–10 Probability, Statistics & Random Variables • Hands-On Classroom & Home STEM Studio Series CARD 07 / 09 • PROB-01 MATHEMATICAL GUIDE SCAN FOR 3D VIDEO DEMO \n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n OPEN CAMERA & SCAN stackcalc.io/products/dice-and-spinner/ Zero app install • iPad & Chromebook CURRICULAR ALIGNMENT {xml_escape(st)}\n{xml_escape(st)}\n{xml_escape(st)}\n Grades 5–10 Probability, Statistics & Random Variables 💡 MATHEMATICAL INQUIRY Why are there six different combinations t o roll a 7, but only one combination to rol l a 2? 1 STEP 1: INSPECT THE 6 × 6 SAMPLE SPACE Examine the 6 × 6 grid on the lid stage.Die 1 rows (1-6) × Die 2 columns (1-6) = 36 total outcomes.Every individual pair (like [3,4] or [6,1]) has probability 1/36. 2 STEP 2: COUNT PATHS TO EACH SUM Trace diagonals of constant sum across the grid:• Sum 2: Only 1 way [1,1] → P = 1/36 (2.8%)• Sum 7: 6 ways [1,6],[2,5],[3,4],[4,3],[5,2],[6,1] → P = 6/36 (16.7%)• Sum 12: Only 1 way [6,6] → P = 1/36 (2.8%) 3-4 STEPS 3 & 4: SAMPLE TRIALS & CALCULATE 3. SAMPLE EXPERIMENTAL RUNS: Roll 2d6 three times: 7, 4, 10.4. COMPUTE SAMPLE MEAN: Calculate mean on calculator: Press Dice & Statistics Icon ([🎲], [Σ+] & [g][x̄]) and run [g] [CLΣ] 7 [Σ+] 4 [Σ+] 10 [Σ+] [g] [x̄] → 7.Independent Event: d6=6 and Spinner=10 → 1 [ENTER] 6 [÷] 1 [ENTER] 10 [÷] [×] [FDISP] → 1/60. 5 CORE PRINCIPLE: THE BIRTH OF THE BELL CURVE Single dice have flat uniform distributions (each face is 1/6). But when two dice add together,extreme sums require extreme coordination, while central sums have many different additive combinations!This combinatorial clustering is the foundation of the normal distribution Bell Curve! ★ EXTENSION INVESTIGATION: EVEN SUM PROBABILITY Count all 2d6 combinations that give an EVEN sum (2, 4, 6, 8, 10, 12). Exactly 18 out of 36 outcomes! P = 50.0%! (Scan QR for 3D animated solution!) → Assemble with your physical blocks, then scan the QR code to verify with the 3D step-by-step vector model. STACKCALC ARCHIVAL INSTRUMENT LABS Interactive Mathematics Manipulative Ecosystem. Designed in Mountain View, California • Archival BPA-Free POM/PETG. CROSS-REFERENCED CALCULATOR VERIFICATION Every keystroke sequence verified with RPNCore CalculatorEngine. Modular Hardware Continuum (9 Kits) • Universal 7.00mm Pitch • stackcalc.io PARTS & SCHOOL REFILL PORTAL stackcalc.io/parts Classroom Lab Crates: stackcalc.io/schools
VOLV-01: UNIT CIRCLE VOLVELLE & TRIGONOMETRIC CALCULATOR USER_GUIDE
Side A: In-Box User Guide (Front)
UNIT CIRCLE VOLVELLE & TRIGONOMETRIC CALCULATOR Special Right Triangles, Radians, Coordinates & Wave Projections STUDIO CONTINUUM:\n 1·Ten-Frames \n→\n 2·Dominoes \n→\n 3·Clock \n→\n 4·Fractions \n→\n 5·Primes \n→\n 6·Algebra \n→\n 7·Probability \n→\n 8·Volvelle \n→\n 9·SC-32 CARD 08 / 09 • VOLV-01 MATHEMATICAL REFERENCE 1. WHAT IS THIS MANIPULATIVE? CIRCULAR COORDINATES & DYNAMIC PROJECTIONS Trigonometry is not memorizing tables of static right triangles.On a unit circle of radius r = 1, circular coordinates are trig functions: (X, Y) = (cos θ, sin θ)Rotating the volvelle disc projects an angle θ directly ontohorizontal cosine and vertical sine windows with continuous precision! CALIBRATED 84.00 MM RADIUS DATUM {xml_escape(dl)}\n{xml_escape(dl)}\n{xml_escape(dl)}\n{xml_escape(dl)}\n DESK DISPLAY STAND LID & CADDY BAY The 7U storage lid features an angled desktop easel stand with aprecision alignment cursor. Stand the volvelle on your desk whileworking through trigonometry, calculus, and physics assignments! UNIT CIRCLE: 30° -> (cos = √3/2 ≈ 0.866, sin = 1/2) ANGLE θ = 30° (π/6) X = cos(30°) = √3/2 ≈ 0.866 Y = sin(30°) = 1/2 = 0.500 Pythagorean Identity: cos²(θ) + sin²(θ) = 1 0.75 + 0.25 = 1.000 2. KIT PARTS INVENTORY (6 PIECES) COMPONENT QTY SPEC / DIMENSION PALETTE COLOR Base Unit Circle Disc 1x 84.0 mm ⌀ (Deg & Rad) High-Contrast White Rotating Radian Overlay 1x Transparent Radial Cursor Laser-Etched PETG Projection Cursor Arm 1x X/Y Coordinate Windows Clear Polycarbonate Center Brass Pivot 1x Low-Friction Precision Bushing Solid Brass Stand & Caddy Lid 1x Angled Desk Display Stand Matte Charcoal 3x1 Storage Bin 1x 49.0 mm Height (7U) Matte Charcoal TOTAL: 4 Volvelle Components + Storage Bin + Stand Lid = 6 Parts QUADRANT SIGN CONVENTION {xml_escape(pl)}\n{xml_escape(pl)}\n{xml_escape(pl)}\n{xml_escape(pl)}\n 3. WHY KEEP THIS REFERENCE CARD? ✓ NO LOST PIECE LEFT BEHIND Classroom manipulatives get lost. Never abandon an incomplete set! Every individual math component is permanently stocked for single replacements. Scan back QR or visit stackcalc.io/parts Order individual replacement pieces anytime ✓ 10-SECOND SELF-CHECKING PACK-UP Pack-up is a built-in math game! Align the transparent cursor to0° / 360°, slip the volvelle into its protective velvet caddy sleeve,and lay it flat into the box recess. Snap the stand lid shut.Lid latches firmly for silent, rattle-free carry. ✓ HANDS-ON TUTORIAL ON REVERSE Flip this card over for a complete step-by-step hands-on lesson with concrete numbers, stage arrangements, calculator cross-references, and core mathematical principle breakthrough! Keep this card stored inside the box lid! STACKCALC ARCHIVAL INSTRUMENT LABS Designed in Mountain View, California, USA • Non-Toxic BPA-Free. Classroom Lab Crates (10x / 30x Stations): stackcalc.io/schools PYTHAGOREAN TRIGONOMETRIC IDENTITY For any real angle θ on the unit circle: cos²(θ) + sin²(θ) = 1 identically. Modular Hardware Continuum (9 Kits) • Universal 7.00mm Datum • SIDE A: IN-BOX USER COMPANION GUIDE | OFFICE LASER PAPER SPEC OFFICIAL REFILL PORTAL stackcalc.io/parts Order individual replacement pieces anytime
Side B: Hands-On Tutorial & Video QR (Back)
SERIES 1 • CARD 08 OF 09 • DOMAIN: UNIT CIRCLE TRIGONOMETRY & PROJECTIONS • DUAL ROTATING CURSOR • (X, Y) PROJECTION WINDOWS LESSON GUIDE: UNIT CIRCLE TRIGONOMETRY & PROJECTIONS Step-by-Step Hands-On Tutorial: Angle 30° -> (cos 30° = √3/2, sin 30° = 1/2) Grades 9–12 Trigonometry, Pre-Calculus & Physics • Hands-On Classroom & Home STEM Studio Series CARD 08 / 09 • VOLV-01 MATHEMATICAL GUIDE SCAN FOR 3D VIDEO DEMO \n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n OPEN CAMERA & SCAN stackcalc.io/products/unit-circle-volvelle/ Zero app install • iPad & Chromebook CURRICULAR ALIGNMENT {xml_escape(st)}\n{xml_escape(st)}\n{xml_escape(st)}\n Grades 9–12 Trigonometry, Pre-Calculus & Physics 💡 MATHEMATICAL INQUIRY When the cursor rotates past 90° into Quad rant II, why does the horizontal X coordina te become negative while Y stays positive? 1 STEP 1: ROTATE CURSOR TO 30° (π/6 RAD) Turn the transparent cursor arm to the 30° mark.Look at the inner radian scale: 30° aligns exactly with π/6 rad.Notice the right triangle projected onto the unit circle base! 2 STEP 2: READ HORIZONTAL COSINE PROJECTION Look down at the horizontal X-axis window:X = cos(30°) = √3 / 2 ≈ 0.8660.This is the horizontal base length of the 30°-60°-90° triangle. 3-4 STEPS 3 & 4: READ SINE & VERIFY ON STACKCALC 3. READ VERTICAL SINE: Look at vertical Y-axis window: Y = sin(30°) = 1/2 = 0.5000.4. VERIFY PYTHAGOREAN IDENTITY: cos²(30°) + sin²(30°) = 0.75 + 0.25 = 1.0000!Calculator Verification: Press Unit Circle Radian Icon ([COS], [SIN] & [↱][▸y,x]) and run 45 [COS] [↰] [x²] 45 [SIN] [↰] [x²] [+] → 1. 5 CORE PRINCIPLE: SINE AND COSINE ARE CIRCLE COORDINATES Textbook right triangles only work for angles < 90°. The volvelle proves that sine and cosineare the literal (X, Y) coordinates of a point moving around a circle! In Quadrant II, cosinenaturally becomes negative because X is negative, while sine remains positive! ★ EXTENSION INVESTIGATION: SPECIAL ANGLE: 60° (π/3 RAD) Rotate cursor to 60°. Notice X and Y coordinates swap: X = cos(60°) = 1/2 = 0.500, Y = sin(60°) = √3/2 ≈ 0.866! (Scan QR for 3D animated solution!) → Assemble with your physical blocks, then scan the QR code to verify with the 3D step-by-step vector model. STACKCALC ARCHIVAL INSTRUMENT LABS Interactive Mathematics Manipulative Ecosystem. Designed in Mountain View, California • Archival BPA-Free POM/PETG. CROSS-REFERENCED CALCULATOR VERIFICATION Every keystroke sequence verified with RPNCore CalculatorEngine. Modular Hardware Continuum (9 Kits) • Universal 7.00mm Pitch • stackcalc.io PARTS & SCHOOL REFILL PORTAL stackcalc.io/parts Classroom Lab Crates: stackcalc.io/schools
SC-32-HW: STACKCALC SC-32 SCIENTIFIC RPN CALCULATOR USER_GUIDE
Side A: In-Box User Guide (Front)
STACKCALC SC-32 SCIENTIFIC RPN CALCULATOR 4-Register RPN Stack Engine, Transcendentals & Physical Hardware Guide STUDIO CONTINUUM:\n 1·Ten-Frames \n→\n 2·Dominoes \n→\n 3·Clock \n→\n 4·Fractions \n→\n 5·Primes \n→\n 6·Algebra \n→\n 7·Probability \n→\n 8·Volvelle \n→\n 9·SC-32 CARD 09 / 09 • SC-32-HW MATHEMATICAL REFERENCE 1. WHAT IS THIS MANIPULATIVE? 4-REGISTER RPN AUTOMATIC STACK ENGINE The SC-32 uses Reverse Polish Notation (RPN) with a 4-register stack.Numbers are pushed onto the stack; operations consume them immediately: Stack Architecture: Registers T, Z, Y, X (Display)Zero parentheses, zero operator precedence confusion, and zero syntax errors.Intermediate calculations wait safely on the stack until an operator needs them! CALIBRATED 32-KEYCAP TACTILE HARDWARE {xml_escape(dl)}\n{xml_escape(dl)}\n{xml_escape(dl)}\n{xml_escape(dl)}\n TRAVEL CADDY DESK STAND LID The modular travel caddy features an angled desk operating standand TPU protective membrane cushion. Keep your calculator proppedat the optimal viewing angle beside your blocks while calculating! 4-REGISTER RPN STACK: √(3² + 4²) = 5.0000 T: 0.0000 Z: 0.0000 Y: 16.0000 X: 9.0000 STACK DYNAMICS Press [+]: Drops Y into X → X = 25.0000 Press [√x]: → X = 5.0000 (Hypotenuse) Zero parentheses needed! 2. KIT PARTS INVENTORY (6 PIECES) COMPONENT QTY SPEC / DIMENSION PALETTE COLOR SC-32 Calculator Unit 1x 128×64 OLED, 32 Keycaps Matte Obsidian TPU Protective Sleeve 1x Shock-Absorbing Cushion Flexible Black TPU Travel Caddy Chassis 1x Crush-Proof Enclosure Matte Charcoal USB-C Charging Cable 1x Braided 1.0m Power Cable Stealth Black Display Stand Lid 1x Desk Operating Stand Matte Charcoal Mailer Storage Box 1x 6×4 Inch Protective Case Kraft Cardboard TOTAL: SC-32 Unit + TPU Sleeve + Travel Caddy + Cable + Stand + Box = 6 Parts OPTICAL STATUS ANNUNCIATORS {xml_escape(pl)}\n{xml_escape(pl)}\n{xml_escape(pl)}\n{xml_escape(pl)}\n 3. WHY KEEP THIS REFERENCE CARD? ✓ NO LOST PIECE LEFT BEHIND Classroom manipulatives get lost. Never abandon an incomplete set! Every individual math component is permanently stocked for single replacements. Scan back QR or visit stackcalc.io/parts Order individual replacement pieces anytime ✓ 10-SECOND SELF-CHECKING PACK-UP Pack-up is a built-in math game! Slip the calculator into its TPUmembrane cushion, seat into the travel caddy recess, and coil thebraided USB-C cable in the rear storage trough. Stand lid snaps shut.Magnetic latches hold firmly for silent, crush-proof protection. ✓ HANDS-ON TUTORIAL ON REVERSE Flip this card over for a complete step-by-step hands-on lesson with concrete numbers, stage arrangements, calculator cross-references, and core mathematical principle breakthrough! Keep this card stored inside the box lid! STACKCALC ARCHIVAL INSTRUMENT LABS Designed in Mountain View, California, USA • Non-Toxic BPA-Free. Classroom Lab Crates (10x / 30x Stations): stackcalc.io/schools POSTFIX EXPRESSION EQUIVALENCE THEOREM Any algebraic expression can be evaluated unambiguously without parentheses using a postfix stack. Modular Hardware Continuum (9 Kits) • Universal 7.00mm Datum • SIDE A: IN-BOX USER COMPANION GUIDE | OFFICE LASER PAPER SPEC OFFICIAL REFILL PORTAL stackcalc.io/parts Order individual replacement pieces anytime
Side B: Hands-On Tutorial & Video QR (Back)
SERIES 1 • CARD 09 OF 09 • DOMAIN: 4-REGISTER RPN COMPUTING & EXPRESSION TREES • HARDWARE TACTILE KEYS • DUAL LED BAR GRAPH STACK LESSON GUIDE: 4-REGISTER RPN STACK & EXPRESSION TREES Step-by-Step Hands-On Tutorial: Pythagorean Hypotenuse √(3² + 4²) = 5 Grades 8–16 STEM, AP Physics, Engineering & Mathematics • Hands-On Classroom & Home STEM Studio Series CARD 09 / 09 • SC-32-HW MATHEMATICAL GUIDE SCAN FOR 3D VIDEO DEMO \n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n OPEN CAMERA & SCAN stackcalc.io/products/sc32-calculator/ Zero app install • iPad & Chromebook CURRICULAR ALIGNMENT {xml_escape(st)}\n{xml_escape(st)}\n{xml_escape(st)}\n Grades 8–16 STEM, AP Physics, Engineering & Mathematics 💡 MATHEMATICAL INQUIRY Where does the first number wait safely on the stack while you are entering the secon d number? 1 STEP 1: ENTER 3 AND 4 ONTO STACK Power on the SC-32. Key: 3 [ENTER] 4 [ENTER].Stack state: Register Y holds 3.0000; Register X holds 4.0000.In RPN, numbers always enter before operators! 2 STEP 2: SQUARE BOTH REGISTERS Press [↰] [x²] on 4: Register X becomes 16.0000.Press swap [x⇄y]: Register X becomes 3.0000; Y holds 16.0000.Press [↰] [x²] on 3: Register X becomes 9.0000.Stack now holds Y = 16.0000 and X = 9.0000. 3-4 STEPS 3 & 4: COLLAPSE STACK & SQRT 3. ADD SQUARES: Press [+]. The stack drops: 16.0000 + 9.0000 = 25.0000 in X!4. SQUARE ROOT: Press [√x]. Result: 5.0000!Combined Keystrokes: 3 [↰] [x²] 4 [↰] [x²] [+] [√x] → 5. 5 CORE PRINCIPLE: THE FREEDOM FROM PARENTHESES Evaluating √(3² + 4²) in traditional algebraic mode requires nested parentheses. In RPN,you calculate from the inside out, exactly as you think! Intermediate numbers sit patientlyon the stack until an operator consumes them. Zero parentheses, zero syntax errors! ★ EXTENSION INVESTIGATION: KINETIC ENERGY: E = ½ m v² Calculate kinetic energy for mass m=12 and velocity v=5: 0.5 [ENTER] 12 [×] 5 [↰] [x²] [×] → 150.0000! Zero parentheses! (Scan QR for 3D animated solution!) → Assemble with your physical blocks, then scan the QR code to verify with the 3D step-by-step vector model. STACKCALC ARCHIVAL INSTRUMENT LABS Interactive Mathematics Manipulative Ecosystem. Designed in Mountain View, California • Archival BPA-Free POM/PETG. CROSS-REFERENCED CALCULATOR VERIFICATION Every keystroke sequence verified with RPNCore CalculatorEngine. Modular Hardware Continuum (9 Kits) • Universal 7.00mm Pitch • stackcalc.io PARTS & SCHOOL REFILL PORTAL stackcalc.io/parts Classroom Lab Crates: stackcalc.io/schools
PRIME-01: PRIME FACTOR STUDIO — IN-BOX USER GUIDE USER_GUIDE
Side A: In-Box User Guide (Front)
PRIME FACTOR STUDIO — IN-BOX USER GUIDE Kinesthetic Number Theory, Proportional Logarithmic Stacking & 12-Socket Lid Tray STUDIO CONTINUUM:\n 1·Ten-Frames \n→\n 2·Dominoes \n→\n 3·Clock \n→\n 4·Fractions \n→\n 5·Primes \n→\n 6·Algebra \n→\n 7·Probability \n→\n 8·Volvelle \n→\n 9·SC-32 CARD 05 / 09 • PRIME-01 MATHEMATICAL REFERENCE 1. WHAT IS THIS MANIPULATIVE? FEEL THE PRIMES. MULTIPLY WITH HEIGHT. Standard base-10 counting blocks add lengths (1+1=2).Prime Factor blocks are logarithmically proportional: log(a × b) = log(a) + log(b)When you stack blocks into a tower, adding theirphysical heights automatically multiplies their numbers! CALIBRATED LOGARITHMIC DATUM {xml_escape(dl)}\n{xml_escape(dl)}\n{xml_escape(dl)}\n{xml_escape(dl)}\n 12-SOCKET LID TRAY & LOGARITHMIC SCALE Flip the 13U storage lid over to use the 12-socketcomparison stage. Stand any prime towers side-by-side —equal physical height proves equal mathematical product! VISUAL PROOF: TOWER 12 = [2] + [2] + [3] 1 2 3 4 6 12 18 [ 2 ] [ 2 ] [ 3 ] ▲ SUMMIT = 12 2 × 2 × 3 = 12 Visible: 25.09 mm Commutative: [3]+[2]+[2] = same height! 2. KIT PARTS INVENTORY (72 PIECES) COMPONENT QTY SPEC / DIMENSION PALETTE COLOR Prime Block [2] 29x 7.00 mm (1.00U) Blue Prime Block [3] 17x 11.09 mm (1.58U) Gold Prime Block [5] 8x 16.25 mm (2.32U) Classic White Prime Block [7] 4x 19.65 mm (2.81U) Slate Gray Prime Block [11] 3x 24.21 mm (3.46U) Gold Prime Block [13] 3x 25.90 mm (3.70U) Classic White Prime Block [17] 2x 28.61 mm (4.09U) Slate Gray Prime Block [19] 2x 29.73 mm (4.25U) Gold Prime Block [23] 2x 31.67 mm (4.52U) Slate Gray 13U Storage Bin 1x 91.0 mm (13U) 84.0mm Waterline Stage Lid 1x 10.4 mm Stage 12-Socket Lid Tray TOTAL: 70 Prime Blocks + Storage Bin + Comparison Stage Lid = 72 Parts 4-COLOR HIGH-CONTRAST PALETTE {xml_escape(pl)}\n{xml_escape(pl)}\n{xml_escape(pl)}\n{xml_escape(pl)}\n 3. WHY KEEP THIS REFERENCE CARD? ✓ NO LOST PIECE LEFT BEHIND Classroom manipulatives get lost. Never abandon an incomplete set! Every individual math component is permanently stocked for single replacements. Scan back QR or visit stackcalc.io/parts Order individual replacement pieces anytime ✓ 10-SECOND SELF-CHECKING PACK-UP Pack-up is a built-in math game! Each floor socket is labeledwith its tower's product: 2¹²=4096, 3⁷·2=4374, 5⁵=3125, 7⁴·2=4802...When all 70 blocks are stacked in their bays, all 12 towers levelat the 84.0mm waterline. Stage lid latches firmly for quiet carry. ✓ HANDS-ON TUTORIAL ON REVERSE Flip this card over for a complete step-by-step hands-on lesson with concrete numbers, stage arrangements, calculator cross-references, and core mathematical principle breakthrough! Keep this card stored inside the box lid! STACKCALC ARCHIVAL INSTRUMENT LABS Designed in Mountain View, California, USA • Non-Toxic BPA-Free. Classroom Lab Crates (10x / 30x Stations): stackcalc.io/schools FUNDAMENTAL THEOREM OF ARITHMETIC Every integer > 1 has a unique prime factorization decomposition. Modular Hardware Continuum (9 Kits) • Universal 7.00mm Datum • SIDE A: IN-BOX USER COMPANION GUIDE | OFFICE LASER PAPER SPEC OFFICIAL REFILL PORTAL stackcalc.io/parts Order individual replacement pieces anytime
Side B: Hands-On Tutorial & Video QR (Back)
SERIES 1 • CARD 05 OF 09 • DOMAIN: FUNDAMENTAL THEOREM OF ARITHMETIC • LOGARITHMIC PROPORTIONAL TOWERS • FLUSH DATUM LESSON GUIDE: HOW TO FIND THE LEAST COMMON MULTIPLE (LCM) Step-by-Step Hands-On Tutorial: Finding LCM(12, 18) = 36 & The Law of Conservation of Primes Grades 4–9 Math & Pre-Algebra • Hands-On Classroom & Home STEM Studio Series CARD 05 / 09 • PRIME-01 MATHEMATICAL GUIDE SCAN FOR 3D VIDEO DEMO \n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n OPEN CAMERA & SCAN stackcalc.io/products/prime-studio/ Zero app install • iPad & Chromebook CURRICULAR ALIGNMENT {xml_escape(st)}\n{xml_escape(st)}\n{xml_escape(st)}\n Grades 4–9 Math & Pre-Algebra 💡 MATHEMATICAL INQUIRY Which prime blocks are shared by both towe rs, and which blocks are unique to one towe r? 1 STEP 1: FACTOR & BUILD TOWERS 12 & 18 Decompose numbers 12 and 18 into prime building blocks:• Tower 12: Stack [2] + [2] + [3] (2 × 2 × 3 = 12)• Tower 18: Stack [2] + [3] + [3] (2 × 3 × 3 = 18)Seat each tower in the 12-socket lid tray. Their summitsmeasure 25.09 mm (Tower 12) and 29.18 mm (Tower 18)! 2 STEP 2: FIND SHARED OVERLAP (THE GCD) Stand Tower 12 and Tower 18 side-by-side.Identify the blocks they share in common (intersection):• Tower 12 has: [2], [2], [3] | Tower 18 has: [2], [3], [3]Shared Overlap: Exactly one [2] and one [3]!Assemble GCD Tower: [2] + [3] = 6 (Summit: 18.09 mm). 3-4 STEPS 3 & 4: ASSEMBLE THE LCM TOWER 3. TAKE PRIME UNION: Take highest power of each prime: two [2]s, two [3]s.4. STACK LCM TOWER: [2] + [2] + [3] + [3] = 36 (Summit: 36.19 mm)!Calculator Verification: Press Factor Tree Icon ([PRIME] / [g][FACT]) and run 12 [ENTER] 18 [GCF] 12 [ENTER] 18 [f] [LCM] → 36. 5 CORE PRINCIPLE: CONSERVATION OF PRIMES: A × B = GCD × LCM Multiply Tower 12 and Tower 18: you have three [2]s and three [3]s. Look at your GCD Tower([2], [3]) and your LCM Tower ([2]², [3]²): together they contain the EXACT same prime blocks!Therefore: A × B = GCD(A, B) × LCM(A, B) = 6 × 36 = 216! ★ EXTENSION INVESTIGATION: FIND LCM(8, 12) Build Tower 8: [2]+[2]+[2] and Tower 12: [2]+[2]+[3]. Prime union takes three [2]s and one [3] → LCM = 24 (28.09mm)! (Scan QR for 3D animated solution!) → Assemble with your physical blocks, then scan the QR code to verify with the 3D step-by-step vector model. STACKCALC ARCHIVAL INSTRUMENT LABS Interactive Mathematics Manipulative Ecosystem. Designed in Mountain View, California • Archival BPA-Free POM/PETG. CROSS-REFERENCED CALCULATOR VERIFICATION Every keystroke sequence verified with RPNCore CalculatorEngine. Modular Hardware Continuum (9 Kits) • Universal 7.00mm Pitch • stackcalc.io PARTS & SCHOOL REFILL PORTAL stackcalc.io/parts Classroom Lab Crates: stackcalc.io/schools
PRIME-01-PACK: PRIME FACTOR STUDIO — PACKING BENCH & QC SPEC PACKING_MANIFEST
Side A: In-Box User Guide (Front)
PRIME FACTOR STUDIO — PACKING BENCH & QC SPEC Box Floor Layout, Pack-Up Verification & Parts Replacement Manifest WAREHOUSE FULFILLMENT & PACKING BENCH REFERENCE • REV a793ddd • 3x1x13U Modular Storage Box with 84.0mm Waterline & 12-Socket Lid Tray SKU: PRIME-01-PACK REV a793ddd PACKING BENCH MANIFEST & REFILL REPLACEMENT PRICING # COMPONENT DESCRIPTION QTY COLOR / SPEC CONTENT-ADDRESSED ID REFILL 1 Prime Block [2] (1U = 7.00mm) 29x Blue PRIM-BLCK-02 $2.49 2 Prime Block [3] (1.58U = 11.09mm) 17x Gold PRIM-BLCK-03 $2.49 3 Prime Block [5] (2.32U = 16.25mm) 8x Classic White PRIM-BLCK-05 $2.49 4 Prime Block [7] (2.81U = 19.65mm) 4x Slate Gray PRIM-BLCK-07 $2.49 5 Prime Block [11] (3.46U = 24.21mm) 3x Gold PRIM-BLCK-11 $2.99 6 Prime Block [13] (3.70U = 25.90mm) 3x Classic White PRIM-BLCK-13 $2.99 7 Prime Block [17] (4.09U = 28.61mm) 2x Slate Gray PRIM-BLCK-17 $2.99 8 Prime Block [19] (4.25U = 29.73mm) 2x Gold PRIM-BLCK-19 $2.99 9 Prime Block [23] (4.52U = 31.67mm) 2x Slate Gray PRIM-BLCK-23 $2.99 10 3x1x13U Storage Bin & Stage 1x Classic White GEN-PRIM-3bf2795 $16.50 11 12-Socket Comparison Stage Lid 1x Classic White GEN-PRIM-LID01 $7.50 TOTAL: 72 VERIFIED WORKING COMPONENTS WAREHOUSE NO LOST PIECE GUARANTEE Individual replacement blocks are permanently stocked in Mountain View, California. Anti-arbitrage pricing: Order single replacement components anytime at stackcalc.io/parts. Never retire an educational classroom kit due to a single misplaced component. PACKING QC & WATERLINE PROTOCOL FINAL BENCH INSPECTION ✓ All 70 prime blocks verified: 29x[2] through 2x[23] ✓ Harmonized 1U log datum: h(2)=7.00mm, K=23.2535 mm/dec ✓ Floor sockets labeled with tower products (2048, 2187, 1875, 2401...) ✓ 12-socket stage lid latches firmly for quiet carry PACKING WATERLINE NOTICE SELF-CHECKING PACK-UP WATERLINE: Seat all 70 blocks into the 12 floor sockets so all 12 towers level off at the 84.0mm summit waterline before snapping the lid shut. CALIFORNIA LAB QC AUDIT INSPECTION: PASSED Inspector: Station 04 • Mountain View, CA Lot Release: 2026-Q4-ARCHIVAL Standards: ASTM F963 / EN71 / RoHS Lead-Free FACTORY SPECIFICATION Harmonized Modular Mathematics Manipulative System. Manufactured with Pride in California, USA. PARTS REFILL PORTAL Official Parts Portal: stackcalc.io/parts SIDE A: WAREHOUSE PACKING BENCH & QC MANIFEST | PAPER SPEC INSTITUTIONAL DIRECT sales@stackcalc.io Direct Invoicing • Net-30 Terms
Side B: Hands-On Tutorial & Video QR (Back)
PRIME FACTOR STUDIO — PACKING BENCH & QC SPEC WAREHOUSE PACKING BENCH REFERENCE • 3D VIDEO QR • REFILL LOGISTICS Classroom Pack-Up & Inventory Reference SKU: PRIME-01-PACK PACKING PROTOCOL PACK-UP DEMO VIDEO \n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n OPEN CAMERA & SCAN stackcalc.io/products/prime-studio/ Watch 3D video demonstration Zero app install required WAREHOUSE PACKING BENCH & BOX FLOOR WATERLINE AUDIT 1 1. VERIFY TOWER HEIGHTS Seat all 70 blocks into the 12 floor sockets. Ensure every tower matches its floor product badge (2048, 2187, 1875, 2401 , 2662...). 2 2. CHECK THE 84.0MM WATERLINE Confirm all 12 packed towers level off at the interior 84.0mm summit waterline near the top rim of the box. 3 3. TUCK CARD & SNAP LID SHUT Place your folded guide on top and snap the stage lid onto the rim for rattle-free storage. FULFILLMENT PORTAL Interactive Packaging Bench Station. Warehouse Fulfillment Rev a793ddd. REPLACEMENT MANIFEST Single Component Replacements: stackcalc.io/parts SIDE B: WAREHOUSE PACK-UP PROTOCOL & VIDEO QR | PAPER SPEC DIRECT INVOICING sales@stackcalc.io W-9 Form & Net-30 Vendor Packets