This sequence explores the 'Ambiguous Case' (SSA) of the Law of Sines through visualization, algebraic proof, and real-world application. Students move from physical constructions to systematic classification and problem-solving.
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.
Une introduction complète aux statistiques universitaires, couvrant la classification des données, les mesures descriptives, la visualisation et les fondements de la loi normale. L'approche est axée sur l'analyse de données réelles et la compréhension conceptuelle.
A lesson sequence focusing on the algebraic and graphical properties of radical equations, bridging the gap between symbolic manipulation and visual intersection points.
A series of higher-level mathematics lessons exploring calculus foundations through engaging, thematic activities and visual demonstrations.
A series of geometry lessons focused on points of concurrency and their real-world applications in urban planning and design.
A specialized unit focused on identifying and correcting algebraic misconceptions in function transformations, specifically reflections. Students develop critical analysis skills by acting as "Error Doctors" to diagnose and treat common mathematical pitfalls.
A lesson sequence for Algebra 2 focusing on the relationship between rational exponents and radical expressions, including conversion, simplification, and negative exponents.
A lesson sequence focusing on the transition from expanded ellipsis notation to formal Sigma notation within the context of arithmetic series proofs. Students analyze a standard proof and reformulate it using summation properties.
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.
An 11th-grade mathematics sequence focused on analyzing linear-quadratic systems through algebraic and geometric lenses, specifically utilizing the discriminant to predict intersection counts.
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.
A high school geometry and algebra sequence focused on applying 3D geometry formulas to real-world optimization problems, specifically focusing on cones.
A comprehensive pre-calculus unit focused on the algebraic and geometric properties of inverse functions, including composition-based verification and domain restrictions.
A foundational sequence for 11th Grade Pre-Calculus focusing on the essential building blocks of functions, their graphs, and their behavior. Students develop the ability to recognize, sketch, and analyze parent functions which serves as the basis for all future transformation and modeling work.
A comprehensive lesson on calculating slope using both the algebraic formula and the visual rise-over-run method, featuring guided video notes and a competitive group activity.
A unit focused on mastering polynomial operations, from long division to advanced shortcuts like the Remainder and Factor Theorems. Students move from laborious calculation to strategic evaluation.
A lesson on rationalizing binomial denominators using complex conjugates for 11th Grade Pre-Calculus students. The sequence focuses on the algebraic logic behind conjugates and their relationship to the difference of squares.
A comprehensive lesson sequence for Undergraduate College Algebra focused on synthesizing and selecting the most efficient strategies for solving exponential equations, utilizing common bases, logarithms, and quadratic forms.
A lesson sequence focusing on the geometric properties of quadratic functions, specifically using symmetry to locate key features like the vertex and axis of symmetry.
An Algebra intervention sequence focusing on the critical distinction between vertical and horizontal line equations ($x=c$ vs $y=c$). This sequence targets common misconceptions through visual analysis, coordinate consistency, and guided practice.
A comprehensive lesson sequence for 12th Grade Pre-Calculus/Calculus students on solving and visualizing systems of nonlinear equations involving conic sections. Students move from sketching predictions to algebraic verification and creative system design.
A lesson sequence focusing on analyzing and manipulating exponential functions to reveal true growth rates, using real-world financial contexts and exponent rules.
A unit focused on linear inequalities, boundary logic, and systems of constraints, moving from basic graphing to multi-variable solution regions and real-world scenarios.
A comprehensive unit exploring circle geometry, vocabulary, arcs, angles, and properties through visual and hands-on investigation.
A comprehensive math sequence for 10th-grade academic support focused on using base-ten manipulatives to master decimal operations through a financial lens. Students progress from foundational place value to complex budgeting simulations, bridging concrete understanding with abstract calculations.
A scaffolded sequence for 10th-grade academic support, focusing on using two-color counters and algebra tiles to master integer operations and transition to algebraic reasoning. This sequence moves from concrete manipulation to representational drawing and finally to abstract procedural fluency.