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.
- Systems of equations and inequalities
- Scientific notation
- Properties of exponents
- Operations with polynomials
- Characteristics of quadratic functions Modeling with quadratic functions
- Data displays
- Measures of central tendency
- Experimental and theoretical probability
- Geometric sequences
- Simple exponential functions
- Radical equations
- Demonstrate the ability to solve systems of equations using a variety of methods.
- Simplify polynomials using multiple operations.
- Use knowledge of polynomials and scientific notation to interpret and analyze waste.
- Apply the different methods of factoring polynomials. Apply different methods of solving quadratic equations based on a given context.
- Define and use each of the measures of central tendency.
- Compute various types of probabilities.
- Utilize knowledge of measures of central tendency to analyze epidemics.
- Solve problems involving radicals by using multiple operations.