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 |
|---|---|---|---|
| G07 | Box Plots | 20 | Source skill reference: Everything You Need to Ace Math in One Big.pdf, PDF pages 391-394. New examples and questions use original wording and values. The 1.5 IQR outlier question is an original extension of the quartile work. |
| G07 | Complementary-supplementary angles | 14 | Source skill reference: Everything You Need to Ace Geometry in One.pdf, PDF pages 41-54. New examples and questions use original wording and values. |
| G07 | Compound Probability | 21 | Source skill reference: Everything You Need to Ace Pre-Algebra and.pdf, PDF pages 376-398. New examples and questions use original wording and values. |
| G07 | Dilation | 10 | Source skill reference: Everything You Need to Ace Geometry in One.pdf, PDF pages 309-323. New examples and questions use original wording and values. |
| G07 | Histograms | 20 | Source skill reference: Everything You Need to Ace Math in One Big.pdf, PDF pages 390-391. New examples and questions use original wording and values. |
| G07 | Polygons | 14 | Source skill reference: Everything You Need to Ace Geometry in One.pdf, PDF pages 233-241. New examples and questions use original wording and values. |
| G07 | Quadrilaterals | 14 | Source skill reference: Everything You Need to Ace Geometry in One.pdf, PDF pages 200-232. New examples and questions use original wording and values. |
| G07 | Reflection | 14 | Source skill reference: Everything You Need to Ace Geometry in One.pdf, PDF pages 244-256. New examples and questions use original wording and values. |
| G07 | Rotation | 14 | Source skill reference: Everything You Need to Ace Geometry in One.pdf, PDF pages 265-278. New examples and questions use original wording and values. |
| G07 | Slope | 8 | Source skill reference: Everything You Need to Ace Pre-Algebra and.pdf, PDF pages 276-301. New examples and questions use original wording and values. |
| G07 | Surface Area | 14 | Source skill reference: Everything You Need to Ace Geometry in One.pdf, PDF pages 546-558. New examples and questions use original wording and values. |
| G07 | Translation | 14 | Source skill reference: Everything You Need to Ace Geometry in One.pdf, PDF pages 257-264. New examples and questions use original wording and values. |
| G07 | Triangle Angle Sum | 14 | Source skill reference: Everything You Need to Ace Geometry in One.pdf, PDF pages 134-152. New examples and questions use original wording and values. |
| G07 | Triangles | 14 | Source skill reference: Everything You Need to Ace Geometry in One.pdf, PDF pages 134-152. New examples and questions use original wording and values. |
| G07 | Volume | 14 | Source skill reference: Everything You Need to Ace Geometry in One.pdf, PDF pages 571-591. New examples and questions use original wording and values. |
| G08 | Circles | 14 | Source skill reference: Everything You Need to Ace Math in One Big.pdf, PDF pages 313-319. New examples and questions use original wording and values. |
| G08 | Coordinate Plane | 13 | Source skill reference: Everything You Need to Ace Math in One Big.pdf, PDF pages 418-428. New examples and questions use original wording and values. |
| G08 | Dilation | 10 | Source skill reference: Everything You Need to Ace Geometry in One.pdf, PDF pages 309-323. New examples and questions use original wording and values. |
| G08 | Distance Formula | 10 | Source skill reference: Everything You Need to Ace Geometry in One.pdf, PDF pages 377-386. New examples and questions use original wording and values. |
| G08 | Graphing Lines | 22 | Source skill reference: Everything You Need to Ace Pre-Algebra and.pdf, PDF pages 276-301. New examples and questions use original wording and values. |
| G08 | Independent Dependent Events | 20 | Source skill reference: Everything You Need to Ace Pre-Algebra and.pdf, PDF pages 376-398. New examples and questions use original wording and values. |
| G08 | Midpoint Formula | 8 | Source skill reference: Everything You Need to Ace Geometry in One.pdf, PDF pages 377-386. New examples and questions use original wording and values. |
| G08 | Scatter Plots Correlation | 21 | Source skill reference: Everything You Need to Ace Math in One Big.pdf, PDF pages 395-403. New examples and questions use original wording and values. |
| G08 | Slope | 6 | Source skill reference: Everything You Need to Ace Pre-Algebra and.pdf, PDF pages 276-301. New examples and questions use original wording and values. |
| G09 | Add polynomials | 12 | Source skill reference: Everything You Need to Ace Pre-Algebra and.pdf, PDF pages 441-448. New examples and questions use original wording and values. |
| G09 | 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. |
| G09 | Distance Formula | 4 | Source skill reference: Everything You Need to Ace Geometry in One.pdf, PDF pages 377-386. New examples and questions use original wording and values. |
| G09 | Linear functions | 13 | Source skill reference: Everything You Need to Ace Pre-Algebra and.pdf, PDF pages 276-301. New examples and questions use original wording and values. |
| G09 | 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. |
| G09 | Midpoint Formula | 6 | Source skill reference: Everything You Need to Ace Geometry in One.pdf, PDF pages 377-386. New examples and questions use original wording and values. |
| G09 | Permutations & Combinations | 21 | Source skill reference: Everything You Need to Ace Pre-Algebra and.pdf, PDF pages 398-405. New examples and questions use original wording and values. |
| G09 | Similarity | 10 | 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. |
| G09 | Slope & intercepts | 13 | Source skill reference: Everything You Need to Ace Pre-Algebra and.pdf, PDF pages 276-301. New examples and questions use original wording and values. |
| G09 | Subtract polynomials | 12 | Source skill reference: Everything You Need to Ace Pre-Algebra and.pdf, PDF pages 441-448. New examples and questions use original wording and values. |