Mathematics enrichment guide
Each existing grade lesson includes a guided extension with a topic explanation, a worked example, and application questions. Matching CSV files retain the Question,Answer columns. Core lesson text and game settings are preserved. Extensions revisit the topic as a whole and can require later prerequisites.
Grade folders
Grades 7-9 are organized under Middle School, and Grades 10-12 under High School. The High School Grade 12 folder is awaiting lesson content; no existing Grade 12 lessons were found in the supplied course tree. Folder grades are organizational labels; teachers should check readiness, especially for calculus in Grade 11.
Teaching sequence
- Review the core lesson and prerequisite vocabulary.
- Explain the key idea using the worked example.
- Ask students to solve the extension questions before revealing answers.
- Require the setup, units, and domain restrictions where applicable.
- Use the matching CSV for question practice or import.
Source coverage
The three supplied Workman books were read for their skill explanations. Page references in each lesson are PDF page positions, including front matter. All added wording, examples, and questions are original. The books support middle-school statistics, probability, coordinate geometry, transformations, pre-algebra, polynomial operations, quadratics, and high-school geometry. Advanced functions, complex numbers, matrices, unit-circle trigonometry, and calculus additions are explicitly labeled original extensions when the supplied books do not cover the topic. The 1.5 IQR question is also labeled as an extension.
- Everything You Need to Ace Geometry in One.pdf - 631 PDF pages.
- Everything You Need to Ace Math in One Big.pdf - 530 PDF pages.
- Everything You Need to Ace Pre-Algebra and.pdf - 641 PDF pages.
Topic references
| Grade | Topic | Lessons | Reference |
|---|---|---|---|
| G10 | Congruence | 10 | Source skill reference: Everything You Need to Ace Geometry in One.pdf, PDF pages 153-176. New examples and questions use original wording and values. |
| G10 | Exponential Functions | 40 | Original extension. This advanced topic is not covered by the three supplied Workman books; no PDF support is claimed. |
| G10 | Graphing parabolas | 13 | Source skill reference: Everything You Need to Ace Pre-Algebra and.pdf, PDF pages 601-621. New examples and questions use original wording and values. |
| G10 | Law of Cosines | 20 | Source skill reference: Everything You Need to Ace Geometry in One.pdf, PDF pages 423-430. New examples and questions use original wording and values. |
| G10 | Law of Sines | 20 | Source skill reference: Everything You Need to Ace Geometry in One.pdf, PDF pages 423-430. New examples and questions use original wording and values. |
| G10 | Logarithmic Functions | 21 | Original extension. This advanced topic is not covered by the three supplied Workman books; no PDF support is claimed. |
| G10 | Logical Reasoning | 9 | Source skill reference: Everything You Need to Ace Geometry in One.pdf, PDF pages 67-100. New examples and questions use original wording and values. |
| G10 | Multiply polynomials | 13 | Source skill reference: Everything You Need to Ace Pre-Algebra and.pdf, PDF pages 466-473. New examples and questions use original wording and values. |
| G10 | Polynomial Functions | 22 | Original extension. This advanced topic is not covered by the three supplied Workman books; no PDF support is claimed. |
| G10 | Polynomial division | 13 | Source skill reference: Everything You Need to Ace Pre-Algebra and.pdf, PDF pages 466-473. New examples and questions use original wording and values. |
| G10 | Quadratic functions | 13 | Source skill reference: Everything You Need to Ace Pre-Algebra and.pdf, PDF pages 601-621. New examples and questions use original wording and values. |
| G10 | Radicals | 14 | Source skill reference: Everything You Need to Ace Pre-Algebra and.pdf, PDF pages 519-545. New examples and questions use original wording and values. |
| G10 | Rational functions | 21 | Original extension. This advanced topic is not covered by the three supplied Workman books; no PDF support is claimed. |
| G10 | SOH–CAH–TOA | 15 | Source skill reference: Everything You Need to Ace Geometry in One.pdf, PDF pages 414-422. New examples and questions use original wording and values. |
| G10 | Similarity | 8 | Source skill reference: Everything You Need to Ace Geometry in One.pdf, PDF pages 324-342. New examples and questions use original wording and values. |
| G10 | Sine, Cosine, Tangent | 15 | Source skill reference: Everything You Need to Ace Geometry in One.pdf, PDF pages 414-422. New examples and questions use original wording and values. |
| G10 | Special Triangles | 15 | Source skill reference: Everything You Need to Ace Geometry in One.pdf, PDF pages 417-422. New examples and questions use original wording and values. |
| G11 | Angle Addition Formulas | 20 | Original extension. This advanced topic is not covered by the three supplied Workman books; no PDF support is claimed. |
| G11 | Applications Motion Optimization | 20 | Original extension. This advanced topic is not covered by the three supplied Workman books; no PDF support is claimed. |
| G11 | Area Under Curves | 20 | Original extension. This advanced topic is not covered by the three supplied Workman books; no PDF support is claimed. |
| G11 | Chain Rule | 21 | Original extension. This advanced topic is not covered by the three supplied Workman books; no PDF support is claimed. |
| G11 | Complex numbers | 28 | Original extension. This advanced topic is not covered by the three supplied Workman books; no PDF support is claimed. |
| G11 | Cosine Graph | 20 | Original extension. This advanced topic is not covered by the three supplied Workman books; no PDF support is claimed. |
| G11 | Definite Integrals | 23 | Original extension. This advanced topic is not covered by the three supplied Workman books; no PDF support is claimed. |
| G11 | Derivatives | 21 | Original extension. This advanced topic is not covered by the three supplied Workman books; no PDF support is claimed. |
| G11 | Fundamental Theorem of Calculus | 22 | Original extension. This advanced topic is not covered by the three supplied Workman books; no PDF support is claimed. |
| G11 | Indefinite Integrals | 21 | Original extension. This advanced topic is not covered by the three supplied Workman books; no PDF support is claimed. |
| G11 | Limits | 21 | Original extension. This advanced topic is not covered by the three supplied Workman books; no PDF support is claimed. |
| G11 | Matrices | 21 | Original extension. This advanced topic is not covered by the three supplied Workman books; no PDF support is claimed. |
| G11 | Polynomials Factoring | 26 | Source skill reference: Everything You Need to Ace Pre-Algebra and.pdf, PDF pages 475-517. New examples and questions use original wording and values. |
| G11 | Product Quotient Rule | 18 | Original extension. This advanced topic is not covered by the three supplied Workman books; no PDF support is claimed. |
| G11 | Pythagorean Identity | 15 | Original extension. This advanced topic is not covered by the three supplied Workman books; no PDF support is claimed. |
| G11 | Radians | 20 | Source skill reference: Everything You Need to Ace Geometry in One.pdf, PDF pages 456-460. New examples and questions use original wording and values. |
| G11 | Rational expressions | 14 | Original extension. This advanced topic is not covered by the three supplied Workman books; no PDF support is claimed. |
| G11 | Sine Graph | 15 | Original extension. This advanced topic is not covered by the three supplied Workman books; no PDF support is claimed. |
| G11 | Tangent Graph | 15 | Original extension. This advanced topic is not covered by the three supplied Workman books; no PDF support is claimed. |
| G11 | Trig Values on the Unit Circle | 15 | Original extension. This advanced topic is not covered by the three supplied Workman books; no PDF support is claimed. |
| G11 | Trigonometric Equations | 40 | Original extension. This advanced topic is not covered by the three supplied Workman books; no PDF support is claimed. |
| G11 | Trigonometric Identities | 21 | Original extension. This advanced topic is not covered by the three supplied Workman books; no PDF support is claimed. |
| G11 | Volume by Rotation | 20 | Original extension. This advanced topic is not covered by the three supplied Workman books; no PDF support is claimed. |