High School Algebra I

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

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

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.

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 examine and model contexts which change quadratically and compare these to familiar linear and exponental contexts.

Students use their knowledge of quadratic functions to model and solve problems. Students understand solving quadratics as a process of reasoning and use algebraic properties and rules to form equivalent expressions and equations, which allows them to convert between standard, vertex, and factored form by factoring, completing the equare, and distributing. Students also derive and make use of the quadratic formula.