Growing Patterns Rich Task is a mathematical modeling activity by Maths Pathway focused on additive patterns.
Task Summary and Goal
The core problem requires students to model a pattern of arranging chocolates: a single row of dark chocolates (D) surrounded by a border of milk chocolates (M).
The main goal is for students to derive an algebraic rule to calculate the number of milk chocolates (M) needed for any number of dark chocolates (D).
Structure and Mathematical Focus
The activity spans about 100 minutes and is divided into three parts:
- Analyse Problem: Discussing and identifying the problem’s constraints (e.g., the arrangement rules).
- Mathematical Modelling: The main part, where students explore the pattern (e.g., drawing, completing a table) and develop the rule (the expression is M=2D+6).
- Interpret and Communicate Findings: Evaluating the model and reflecting on how the rule might change if the constraints were different.
The resource provides a full lesson plan, including parent/tutor and student handouts, along with sample solutions.
