Algebra 1 [Competency Based] (2nd semester)
Algebra 1 [Competency Based] (2nd semester)
Course Description
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 reallife phenomena.
Course Breakdown

Slope and intercepts of linear equations

Scatter plots

Systems of equations\n Exponential expressions

Operations with polynomials\n Introduction to factoring Quadratic functions

Linearquadratic systems

Data displays

Probability concepts

Geometric sequences

Exponential functions

Radical and rational equations

Simple inverse functions
Course Goals

Interpret the different parts of slopeintercept and pointslope forms of equations.\n Demonstrate the ability to solve systems using different methods.\n Simplify polynomials using multiple operations.

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.

Solve problems involving radicals using multiple operations.