The Dance of Number, Part 2: Suggested two-year schedule for Steps 8-14 in pdf format (*.pdf).
This Suggested two-year schedule/observations for Steps 8-14 is without indicators for quizzes/exams. The document will be updated when those assessments are ready in the winter of 2024.
Order Volume 1 text, Steps 8-11 (574 pages)
Order Solutions manual for Volume 1, Steps 8-11/Instructor's Guide (334 pages)
Order Volume 2 text, Steps 12-14 (588 pages)
Order Solutions manual for Volume 2, Steps 12-14/Instructor's Guide (334 pages)
Order Assessments (Quizzes and Exams), Steps 8-14: Forthcoming, Winter 2024
Order Computation Notebook
Software:
Great Stella Polyhedron Exploration
Resources:
Lesson 8.6: Planetary Measures
Lesson 8.11: 8 by 8 Square to 5 by 13 Rectangle
Lesson 8.15: Percents, Decimals, Fractions
Lesson 8.16: Amount of Compound Interest
Lesson 9.8: Pi to 2050 decimal places
Lesson 10.2: Function Notation
Lesson 10.5: The Dance between Functions and their Inverse
Lesson 10.8: Absolute Value Theorem
Lesson 11.2: Eight by Eight Grid
Lesson 11.4: Direct and Indirect Problems
Lesson 11.4: Solving Word Problems
Lesson 11.6: Powers of 2 and Powers of 10 (Computer Technology)
Lesson 11.7: Squares and Square Roots
Lesson 11.12: Solving Quadratics
Lesson 11.13: Composition Functions
Lesson 11.14: Quadratic Analysis
Lesson 12.1: Properties of Radicals
Lesson 12.2: Online Slide Rule
Lesson 12.5: The Dance between the Laws of Exponents and the Laws of Logs
Lesson 12.6: The Six Trig Ratios
Lesson 12.6: Important Trig Ratios
Lesson 12.6: The Geography of a Circle
Lesson 12.6: Trigonometry Resources from Stokes Publishing
Lesson 12.7: Sign changes for sin, cos, and tan
Lesson 12.7: Trigonometric Ratios for Quadrant I
Lesson 12.8: Electromagnetic Spectrum
Lesson 12.9: Common Angles in the Unit Circle
Lesson 12.11: Numbers - Natural to Complex
Lesson 12.12: The Koch Snowflake
Lesson 12.12: Fibonacci Numbers and the Mandelbrot Set
Lesson 13.1: The Operations of Arithmetic, their Inverses, and Evaluation/Solution Strategies
Lesson 13.2: Euclid's Axioms and Postulates
Lesson 13.2: The Beauty and Power of Mathematics
Lesson 13.5: Da Vinci's Geometric Proof of the Pythagorean Theorem
Lesson 13.8: General Forms of the Conic Sections
Lesson 13.8: Physical Properties of the Conic Sections
Lesson 13.9: Logic Gates and the Computer World
Lesson 13.9: Chord Theorems in the Geometry of a Circle (For Quiz)
Lesson 13.10: Classical and Modern Physics
Lesson 13.15: Summary of Series Formulas
Lesson 13.16: Proof of the Binomial Theorem by Mathematical Induction (Ancilliary to the lesson for challenge work)
Lesson 13.16: Proof of the Associative Law of Addition by Mathematical Induction (Ancilliary to the lesson for challenge work)
Lesson 13.16: Polar Cooordinate Grid
Lesson 14.1: Net for Volume of a Cube
Lesson 14.1: Geometry Formulas
Lesson 14.3: Rational Functions and the Dance of their Asymptotes
Lesson 14.5: Cut and Assemble 3-D Shapes
Lesson 14.5: The Seven Crystal Systems
Lesson 14.5: Platonic Solids (Only Five)
Lesson 14.8: Mathematical Landscape
Steps 8-14: Algebra - Guide to Pronunciation
Steps 8-14: Algebraic Notation - Common Mistakes
Steps 12-14: Trig Memory Aid 3 by 5 Cards
ERRATA (27 April 2020)
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