An advanced look at rational exponents through the lens of mathematical proof, equivalence, and error analysis for 10th grade students. Students act as mathematical investigators to justify transformations and identify logical fallacies.
A specialized intervention sequence designed for Algebra I students to master TEKS A2A and A6A, focusing on the domain and range of linear and quadratic functions through tiered small-group instruction.
A series of geometry lessons focused on points of concurrency and their real-world applications in urban planning and design.
A lesson sequence for Algebra 2 focusing on the relationship between rational exponents and radical expressions, including conversion, simplification, and negative exponents.
A series of lessons exploring exponential functions, their components, graphs, and real-world applications in Algebra 1.
A lesson sequence focusing on advanced factoring techniques, specifically targeting the difference of squares with higher-degree exponents (4, 6, 8) through visual recognition and verification.
A high-level Honors Algebra lesson focused on complex recursive sequences where students analyze notation, explore the Fibonacci sequence, and engage in a 'Sequence Maker' activity to reverse-engineer formulas.
A specialized unit on advanced exponent rules, focusing on simplifying complex algebraic expressions involving fractions and negative powers.
A specialized unit exploring the geometric properties of slope, connecting algebraic rates of change to trigonometric functions and the geometry of inclination.
A targeted remediation sequence focused on identifying, analyzing, and correcting high-frequency algebra errors in polynomial operations.
A lesson sequence focused on identifying and correcting domain restriction errors for 9th-10th grade algebra students. Students act as 'Error Doctors' to diagnose and treat mathematical misconceptions using video-based instruction and peer review.