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 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 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 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 exploring the geometric properties of slope, connecting algebraic rates of change to trigonometric functions and the geometry of inclination.

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 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 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 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 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.

A mastery-based sequence using base-ten blocks and area models to build conceptual understanding of multi-digit multiplication and division for high school students. This sequence bridges the gap between concrete manipulatives and abstract algorithms through the visual scaffold of area.

A specialized math sequence for 11th-grade students focusing on practical fraction operations and ratios through the lens of construction and design. Students move from basic measurement precision to complex scaling tasks using physical manipulatives like tape measures and Cuisenaire rods.

A specialized math sequence for 9th-grade academic support, focusing on fraction mastery through concrete manipulatives and visual models. It follows the CRA framework to bridge gaps in foundational understanding for high school success.

A specialized sequence for 12th-grade students focusing on math manipulative use and visual modeling to master multi-digit multiplication and division. Students progress from concrete base-ten blocks to representational area models, ending with strategy efficiency and real-world application.

A math sequence for 12th-grade students in special education, focusing on practical fraction mastery through measurement, construction, and home maintenance scenarios. Students use manipulatives like fraction tiles and rulers to build conceptual understanding and operational fluency.

A sequence for 12th-grade students focusing on selecting and using visual organizers like Venn diagrams, tree diagrams, flowcharts, and logic grids to solve complex logic and probability problems. Students move from guided practice to independent metacognitive selection of the best tool for the job.

A specialized sequence for 12th-grade students needing academic support, focusing on translating word problems into visual models. This unit bridges language processing and algebraic reasoning through sketching, geometric modeling, and diagramming.

This sequence explores spatial visualization through the study of cross-sections and solids of revolution. Students learn to translate between 2D and 3D representations, a critical skill for engineering, physics, and advanced mathematics.

This sequence explores the intersection of geometry and engineering, focusing on 3D visualization, technical drawing, and the optimization of physical forms. Students develop spatial reasoning skills through orthographic and isometric sketching and apply geometric modeling to solve real-world design constraints.

A high school geometry unit that integrates algebra and geometry by using coordinate systems to verify geometric properties. Students use distance, midpoint, and slope formulas to classify shapes and prove properties with algebraic rigor.

This mathematical physics sequence explores the coordinate systems necessary for solving problems involving complex shapes, moving beyond Cartesian coordinates to General Curvilinear systems. Students derive scale factors, volume elements, and differential operators, culminating in solving Laplace's equation and understanding metric tensors.

This sequence provides a rigorous foundation in the formal mechanics of logical argumentation, distinguishing sharply between deductive certainty and inductive probability. Students move from categorical syllogisms to complex propositional logic, then transition into inductive and abductive frameworks to evaluate strength, cogency, and explanatory power in academic contexts.

An undergraduate-level introduction to Real Analysis focusing on the formal epsilon-N definition of limits, proof construction, Cauchy sequences, and the Bolzano-Weierstrass Theorem. Students transition from computational calculus to rigorous mathematical proof.

This sequence explores numerical analysis through the lens of sequences, focusing on iterative methods to approximate solutions to complex equations. Students investigate fixed-point iteration, Newton's method, convergence rates, and the transition into chaotic behavior.

A comprehensive exploration of linear recurrence relations, from first-order foundations to complex second-order systems and real-world predator-prey modeling. Undergraduate students transition from recursive thinking to closed-form solutions, applying discrete math to algorithm analysis and biology.

This sequence guides undergraduate students from an intuitive understanding of sequence limits to rigorous analysis using algebraic laws, the Squeeze Theorem, L'Hôpital's Rule, and the Monotone Convergence Theorem. Students will explore how infinite processes behave as they approach infinity, bridging the gap between discrete sequences and continuous calculus.

A comprehensive unit for undergraduate students on arithmetic and geometric sequences, moving from basic pattern recognition to complex financial and biological modeling. Students will explore linear and exponential growth through real-world applications like simple interest, depreciation, compound growth, and annuities.

This graduate-level sequence explores analytic combinatorics through the lens of generating functions. Students will master the transformation of discrete sequences into formal power series, solving complex recurrence relations and evaluating combinatorial identities using advanced algebraic techniques.

A graduate-level exploration of discrete dynamical systems, moving from linear growth models to the complex, chaotic behavior of the logistic map. Students apply recursive sequences to model biological and economic phenomena, emphasizing stability analysis and bifurcation theory.

A rigorous graduate-level exploration of real-valued sequences, bridging computational calculus and formal real analysis through epsilon-N proofs, Cauchy sequences, and topological theorems.

This sequence introduces 11th-grade students to the behavior of sequences and series as they approach infinity. Students explore convergence, divergence, summation notation, and the paradoxes of infinite geometric series and fractals.

An 11th-grade mathematics sequence that bridges the gap between abstract sequences and real-world applications in finance and physics. Students explore arithmetic and geometric models through interest, depreciation, projectile rebounds, and loan amortization.

This sequence explores arithmetic and geometric sequences through inquiry, algebraic modeling, and real-world applications. Students transition from pattern recognition to formalizing recursive and explicit formulas to predict outcomes in linear and exponential systems.

A high school trigonometry sequence that uses the physics of sound waves to teach modeling with trigonometric functions. Students explore pitch as frequency, volume as amplitude, and the superposition of waves to create harmonies and digital tones.

A comprehensive unit on modeling real-world periodic phenomena using trigonometric functions across physics, biology, and astronomy. Students master identifying amplitude, midline, and period from contextual data to build and solve predictive equations.

A comprehensive unit where students act as data scientists to model real-world environmental phenomena using trigonometric functions. They progress from visual estimation to precise algebraic modeling and technological regression to predict future environmental conditions.

A comprehensive unit on trigonometric transformations, focusing on how parameters A, B, C, and D modify the parent sine and cosine functions. Students progress from simple vertical shifts to complex multi-parameter modeling.

An advanced exploration of vector-valued functions and their applications in modeling 2D motion and force, preparing students for multivariable calculus.