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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.
- Analyze linear inequalities algebraically and graphically and understand the process of reasoning associated with creating and solving them in one variable.
- Perform basic arithmetic operations on monomials and polynomials.
- Understand the process of factoring as the inverse of multiplying and use it to generate equivalent expressions and to solve algebraic equations.
- 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.
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