Grade 8 Booklet 03 - Linear Relationships and Patterns | Original 55-page PDF

My original 55-page teaching booklet, supplied as an unchanged PDF. Arithmetic and shape patterns, MYP Criterion B reasoning, distance, midpoint, gradient, line equations and linear modelling.

The original questions, numbering, diagrams and page layout are preserved. This historical edition contains teaching notes, practice questions and selected answers. It is not a complete worked-solutions pack. Use the linked lesson description to see which questions that particular recording covers. Both the patterns lesson and coordinate geometry Part 1 use this same combined 55-page original; the coordinate-only edition has different question numbers.

A separate one-page clarification PDF is included. Pages 19 and 20 - Question 11(b) and (c): Keep the gradient exactly 4/3. For (b), y = (4/3)x + 17/3. For (c), y = (4/3)x, with zero intercept. The handwritten 1.33 and 0.01 arise from rounding before the calculation is complete. Page 44 - Perpendicular gradients: The product of perpendicular gradients is −1 when both gradients are finite. A horizontal line and a vertical line are also perpendicular, but the vertical gradient is undefined. Question 40 correctly asks for the perpendicular line y = −4x. Original scan details: Some outer graph tick labels on pages 22–25 are cropped in the original embedded images. The equations and plotting regions remain usable. The introductory square pattern on page 1 has blank drawing space; the four-square chain is illustrated on page 3. Original images and question numbers are preserved.

Lessons with Dr Taylan Çeltik connect topics through a spiral learning approach.