Enhanced Algebra: Concepts & Connections (Grade 8)

Mathematical Practices

Mathematical Modeling

Numerical Reasoning

Patterning & Algebraic Reasoning

Functional & Graphical Reasoning

Geometric & Spatial 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.

Solve problems involving irrational numbers and rational approximations of irrational numbers to explain realistic applications.

Solve problems involving radicals and integer exponents including relevant application situations; apply place value understanding with scientific notation and use scientific notation to explain real phenomena.

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

Create and interpret expressions within relevant situations. Create, interpret, and solve linear equations and linear inequalities in one variable to model and explain real phenomena.

Show and explain the connections between proportional and non-proportional relationships, lines, and linear equations; create and interpret graphical mathematical models and use the graphical, mathematical model to explain real phenomena represented in the graph.

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.

Describe the properties of functions to define, evaluate, and compare relationships, and use functions and graphs of functions to model and explain real phenomena.

Solve practical, linear problems involving situations using bivariate quantitative data.

Justify and use various strategies to solve systems of linear equations to model and explain realistic phenomena.

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 contextual, geometric problems involving the Pythagorean Theorem and the volume of geometric figures to explain real phenomena.

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

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.