Second course in a three course sequence which focuses on quadratic expressions, equations, functions, geometry, statistics and probability.
Essential Learning Outcomes (ELOs):
Key concepts addressed in this course are:
Representations of linear, quadratic, and exponential relationships using graphs, tables, equations, and contexts.
Symbolic manipulation of expressions in order to solve problems, such as factoring, distributing, multiplying polynomials, expanding exponential expressions, etc.
Analysis of the slope of a line multiple ways, including graphically, numerically, contextually (as a rate of change), and algebraically.
Solving equations and inequalities using a variety of strategies, including rewriting (such as factoring, distributing, or completing the square), undoing (such as extracting the square root or subtracting a term from both sides of an equation), and looking inside (such as determining the possible values of the argument of an absolute value expression).
Solving systems of two equations and inequalities with two variables using a variety of strategies, both graphically and algebraically.
Use of rigid transformations (reflection, rotation, translation) and symmetry to demonstrate congruence and develop triangle congruence theorems.
Using coordinates to prove geometric theorems.
Geometric constructions (with compass and straightedge).
Simple geometric proofs (investigate patterns to make conjectures, and formally prove them).
Representations of arithmetic and geometric sequences, including using tables, graphs, and explicit orrecursive formulas.
Use of exponential models to solve problems, and to compare to linear models.
Use of function notation.
Statistical analysis of two-variable data, including determining regression lines, correlation coefficients, andcreating residual plots.
The differences between association and causation, and interpretation of correlation in context.