What are algebraic expressions? How are they structured, and how can they be combined to create equations and inequalities? How do you know that the solutions you find are correct? In Algebra 1, students create expressions from verbal descriptions, manipulate and transform them, and create visual models. Requiring students to explain each step helps them understand mathematical processes. Exploring functions, sequences, and their corresponding graphs helps students determine the best ways to represent each. Students examine functions graphically, numerically, symbolically, and verbally, and learn how to translate between these different forms. Students’ depth of understanding increases as they complete proofs and describe data, fitting functions to their data. Students then extend their knowledge of linear and exponential relationships and apply their new understanding to create quadratic and exponential expressions as models of real-life phenomena.
Structure of expressions
Solving linear equations and inequalities in one variable
Graphing linear equations
Slope and intercepts
Scatter plots Systems of equations
Systems of inequalities
Structures of polynomials
Solving quadratic equations
Graphing quadratic equations
Solve one-step and multistep equations using different operations.
Solve one-step and multistep linear inequalities using different operations.
Interpret different types of graphed lines. Demonstrate the ability to solve systems using different methods.
Apply the different methods of factoring polynomials.
Investigate rational expressions.
Compute various types of probabilities.