Foundations in Algebra I Learning Goals and Mathematical Practices

Algebra I Learning Goals:

- Maintain fluency in the addition, subtraction, multiplication, and division of rational numbers.

- Understand the structure of expressions and use foundational skills to write, simplify and apply properties of operations to algebraic expressions.

- Analyze linear equations and understand the process of reasoning associated with creating and solving them in one variable.

- Understand the concept of a function, to include the representation of functions using tables, graphs, mappings and basic function notation.

- Represent and solve linear equations graphically and understand the connections between lines and their equations.

- Solve systems of equations by graphing, substitution, elimination and apply these methods to solve real-life mathematical problems.

- Perform basic arithmetic operations on monomials and polynomials.

- Use basic graphical and numerical techniques to analyze data in one and two variables and make inferences to justify conclusions.

- Reason quantitatively, create expressions and solve equations that model real-life mathematical problems.

Mathematical Practices:

- Make sense of problems and persevere in solving them.

- Reason abstractly and quantitatively.

- Construct viable arguments and critique the reasoning of others.

- Model with mathematics.

- Use appropriate tools strategically.

- Attend to precision.

- Look for and make use of structure.

- Look for and express regularity in repeated reasoning.