## HSI.1 Linear Equations & Inequalities (A1)

Students use and justify various strategies to solve systems of of simultaneous linear equations and inequalities.

Students use and justify various strategies to solve systems of of simultaneous linear equations and inequalities.

Students model situations with linear and non-linear relations, building "function" as a superordinate concept with many examples: piecewise functions, step functions, arithmetic sequences, absolute value functions, and simple rational functions. They also describe key aspects of a graph and calculate and interpret the average rate of change over a specified interval.

Students recognize exponential relationships, create an exponential function models from data points, and apply exponential functions in both growth and decay situations.

Students construct perpendicular lines, parallel lines, and regular polygons, and develop formal definitions of these objects. They also develop precise definitions for translations, rotations, and reflections and use these to describe symmetries.

Students specify a series of rigid motions that carries one figure onto another and use the definition to determine whether two objects are congruent. Students provoe theorems about triangles, lines, angles, and prallelograms.

Students describe and interpret the center and spread of distributions using: shape of the distribution, standard deviation, and interquartile range.

Students represent data on two variables on a scatter plot, find the line of best fit, and interpret slope and intercept in context; they also compare strength of association between different pairs of variables by interpreting correlation coefficients.