Mr. Gilbert's Algebra Curriculum
The following list of topics shows the topics we will cover in Algebra this year, separated by unit, along with a general time frame.
KEY:
Red - Unit has been completed
Green - Unit is in progress
Black - Unit is still to come
Unit 1 - Numbers, Expressions and Equations (September - October)
- Rational and Irrational numbers
- Polynomial arithmetic
- Solving linear equations and inequalities
- Creating linear equations and inequalities
- Rearranging formulas
- Systems of linear equations
- Definition of function, domain and range
- Types of functions (linear, exponential, quadratic, square root, cube root, absolute value, piecewise, step)
- Function notation
- Average rate of change
- Sequences
- Linear vs Exponential functions
- Writing linear and exponential functions
- Interpreting linear and exponential functions
- Review y = mx + b
- Solving equations by graphing
- Graphing linear inequalities
- Features of graphs
- Average rate of change from a graph
- Graphing all types of functions
- Intercepts, maxima, minima
- Comparing functions
- Function transformations
- Constructing functions from a graph
- Graphs from verbal descriptions
- Parts of quadratic expressions
- Factoring
- Finding zeros
- Completing the square to reveal vertex
- Simplest Radical form
- Solving quadratics with various methods (square roots, factoring, complete the square, quadratic formula)
- Pythagorean Theorem review
- Writing quadratics
- Displaying data
- Measures of center and variation
- Two-way tables
- Scatter plots
- Regression
- Correlation coefficient
- Residuals
- Topics TBD