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From Blocks to the Stack

Hands-On Math & the SC-6 Stack Calculator (Grades 3–6)
$16.00 ✓ Print Book on Amazon Prime • Spiral Workbooks on Lulu

Written directly for curious 3rd–6th graders, homeschool families, and teachers, From Blocks to the Stack bridges the gap between physical math manipulatives and computational fluency. It connects tactile 3D-printed math blocks with the four visible shelves of the StackCalc SC-6 number stack ($X, Y, Z, T$)—completely eliminating parentheses, syntax errors, and passive worksheet memorization.

✓ Physical-to-Abstract Bridge: Pairs directly with 9 modular 3D-printed manipulatives (Ten-Frames, Fraction Towers, Prime Blocks, Geared Clock).
✓ Engine-Verified Keystrokes: Every single problem, story, and 4-register stack trace is verified directly against the RPNCore engine.
✓ 25 Complete Teacher Lesson Plans: Appendix B includes ready-to-teach 45-minute lesson plans aligned with Common Core and state frameworks.
✓ Zero Planned Obsolescence: Includes 3D printable blueprints (Appendix A) to fabricate all manipulative studios in any school makerspace.

Table of Contents & Chapter Guide

Explore each illustrated chapter online or follow along in your print copy.

GRADES 3–6 • 9 CHAPTERS • 4 APPENDICES
PREFACE • THE NUMBER STACK

Why Your Brain Already Thinks in a Stack →

How building with LEGO and stacking blocks taught your hands the stack before you ever saw an equation. Meet the four shelves ($X, Y, Z, T$).

CHAPTER 01 • HARDWARE & ARCHITECTURE

Meet Your SC-6 Stack Calculator & Math Blocks →

The sunlit transflective display, tactile TPU keys, sliding dovetail tool-free chassis, and how blocks nest onto 42 mm desk trays.

CHAPTER 02 • RPN FUNDAMENTALS

Stacking Numbers Just Like Blocks →

The 4-story Number Elevator, automatic stack lift, `LASTX` error recovery, dyadic operations, and evaluating formulas from the inside out.

CHAPTER 03 • PLACE VALUE & TEN-FRAMES

Ten-Frames, Number Lines & Place Value →

Ten-frame dot arrays (`▦`), the 20-bead Number Rack (`COUNT`), base-ten regrouping trades (`PV`), and jumps on the number line (`LINE`).

CHAPTER 04 • MULTIPLICATION & REMAINDERS

Tile Arrays, Skip-Counting & Remainders →

Multiplication tile arrays, skip-counting fact ladders (`REP`), and fair-share division with whole-number remainders (`÷R`).

CHAPTER 05 • FRACTIONS & DECIMALS

Fractions, Decimals, Percents & Ratios →

Physical height comparisons with 84 mm Fraction Towers, step-by-step simplification (`SIMP`), common denominators (`LCM`), and decimals.

CHAPTER 06 • GEOMETRY & CLOCK TIME

Shapes, 3D Boxes & Geared Clock Time →

Unfolding 2D shapes, 3D surface area with running accumulation (`Σ+`), and hands-on planetary clock gears (`🕒`).

CHAPTER 07 • PRIMES & PROBABILITY

Prime Numbers, Fair Dice & Data Detective →

17-year cicada prime cycles, prime factor towers (`FACT`), GCF and LCM comparator stages, polyhedral dice (`🎲`), and mean/MAD statistics.

CHAPTER 08 • MENTAL MATH & QUIZ ENGINE

Mental Math Tricks & The Quiz Game →

Eight visual mental-math shortcuts, plus 6 progressive difficulty levels of the built-in timed arithmetic fluency game (`?`).

CHAPTER 09 • STEM LABS & INVENTIONS

Kitchen-Table Inventions & Maker Projects →

Weighing 3D-printed blocks, slicing printer layer heights, pendulum physics, recipe scaling, and testing compound gear reduction.

On-Demand Fabrication via Slant 3D

Need the Physical 3D Math Manipulatives?

Every chapter in From Blocks to the Stack corresponds to a physical manipulative kit. Order individual component refills, complete studio boxes, or classroom fleet packs on-demand through our official Slant 3D Portal, or 3D print them locally using our free open-source STL files.