Integrated Mathematics I

Full year

The HKIS math department utilizes the resources from Illustrative Mathematics as our course of study for Integrated Math I, II, and, III. The Illustrative Mathematics Course Guide outlines the scope of Integrated Math I as follows:

The course opens with a focus on geometric reasoning, as students use a compass and straightedge to build foundational construction skills. These constructions lead naturally into an understanding of rigid transformations and triangle congruence. Students also analyze data distributions using measures of center and variability, then extend this work to modeling relationships between variables through linear equations and systems of equations. Throughout, they write, evaluate, graph, and solve equations with increasing clarity and precision.

As the course progresses, students connect geometric transformations to the behavior of linear graphs, then explore two-variable statistics using two‑way tables, scatter plots, and linear models. They expand their study of graphs by solving linear inequalities and systems of inequalities to represent constraints. The final portion of the course deepens students’ understanding of functions, including linear, piecewise, absolute value, and exponential, while examining their structures and representations in real-world contexts. Mathematical modeling is woven throughout, with dedicated modeling prompts offering opportunities to engage fully in the modeling cycle.