Math 1

Scope and Sequence for Integrated Math 1

The course begins with students using a compass and a straightedge to improve their logical-reasoning skills in a geometric setting. Students gradually build a toolkit of constructions that lead to rigid transformations and showing congruence of figures. In particular, they examine conditions needed to guarantee triangle congruence.

Students describe the shape of data distributions, using measures of center and variability. This leads them to model how multiple variables are related, using linear equations and systems of linear equations. Students write, evaluate, graph, and solve equations, explaining and validating their reasoning with increased precision.

By examining how transformations affect graphs, students connect their geometric understanding of rigid transformations to their understanding of linear equations on a coordinate plane. These insights lead into a unit on two-variable statistics in which students examine relationships between variables, using two-way tables, scatter plots, and linear models. Students continue their exploration of graphs by solving linear inequalities and systems of linear inequalities to represent constraints in situations.

Shifting focus, students deepen their understanding of functions by representing, interpreting, and communicating about them, using function notation, domain and range, average rate of change, and features of graphs. They also see categories of functions, starting with linear functions (including their inverses) and piecewise-defined functions (including absolute-value functions), followed by exponential functions. For each function type, students investigate real-world contexts, look closely at the structural attributes of the function, and analyze how these attributes are expressed in different representations.