Algebra: Concepts and Connections

Mathematical Practices

Mathematical Modeling

Functional & Graphical Reasoning 

Geometric & Spatial Reasoning

Patterning & Algebraic Reasoning

Numerical Reasoning

Data & Statistical Reasoning

Display perseverance and patience in problem-solving. Demonstrate skills and strategies needed to succeed in mathematics, including critical thinking, reasoning, and effective collaboration and expression. Seek help and apply feedback. Set and monitor goals.

Apply mathematics to real-life situations; model real-life phenomena using mathematics.

Construct and interpret arithmetic sequences as functions, algebraically and graphically, to model and explain real-life phenomena. Use formal notation to represent linear functions and the key characteristics of graphs of linear functions, and informally compare linear and non-linear functions using parent graphs.

Construct and interpret quadratic functions from data points to model and explain real-life phenomena; describe key characteristics of the graph of a quadratic function to explain a mathematically applicable situation for which the graph serves as a model.

Construct and analyze the graph of an exponential function to explain a mathematically applicable situation for which the graph serves as a model; compare exponential with linear and quadratic functions.

Solve problems involving distance, midpoint, slope, area, and perimeter to model and explain real-life phenomena

Create, analyze, and solve linear inequalities in two variables and systems of linear inequalities to model real-life phenomena.

Build quadratic expressions and equations to represent and model real-life phenomena; solve quadratic equations in mathematically applicable situations.

Create and analyze exponential expressions and equations to represent and model real-life phenomena; solve exponential equations in mathematically applicable situations.

Investigate rational and irrational numbers and rewrite expressions involving square roots and cube roots.

Collect, analyze, and interpret univariate quantitative data to answer statistical investigative questions that compare groups to solve real-life problems; Represent bivariate data on a scatter plot and fit a function to the data to answer statistical questions and solve real-life problems.