Mapping relationships through notation, algebraic representations, and growth rate comparisons. Equips learners to transform functions, model contextual data, and solve exponential equations.
A focused sequence on finding the inverse of logarithmic functions using algebraic switching, featuring a high-tech 'Log Decoder' theme.
A comprehensive final project for high school math, integrating linear equations, systems, sequences, data analysis, and polynomials through three real-world career paths. Includes scaffolded 'Skill Missions' to prepare students for the final choice-based project.
A multi-day intensive intervention designed for Grade 7 students working below grade level, focusing on the essential "blueprint" rules of proportional reasoning to prepare for the NC EOG.
A sequence focused on exponential growth models through the lens of agricultural yields, specifically tracking the population growth of peppers from a single fruit.
A intensive four-day review sequence for 7th grade AIS students focusing on bridging foundational gaps in algebraic expressions, equation solving, and graphing proportional relationships. The materials use a 'Blueprint' theme to emphasize building strong mathematical structures.
A comprehensive 7-week NYS Math Assessment preparation sequence for 8th grade, covering major clusters including algebra, functions, geometry, and statistics.
A 7-week comprehensive math review sequence designed to prepare 6th-grade students for the New York State (NYS) Math Assessment, aligned with the Next Generation Learning Standards. Covers Ratios, The Number System, Expressions & Equations, Geometry, and Statistics.
A real-world project where students use linear functions to model earnings from a summer job and manage a budget to reach a savings goal. Students will define variables, write equations, create tables, and graph their financial progress.
A comprehensive Algebra II unit on quadratic functions, covering parent functions, graphing, key features (vertex, intercepts, AOS), and solving via factoring and the quadratic formula, with a focus on real rational roots.
A 3-day small group math sequence designed to move students from NWEA RIT 170-180 to 181-190. Students master missing addend word problems, skip counting sequences, and input-output tables through investigative word problems.
A 2-day targeted small group intervention sequence focused on growing number patterns and input/output tables for students in the NWEA RIT 181-190 range. Students act as 'Pattern Detectives' to identify rules and predict future values in mathematical sequences.
A 5-day Algebra 2 Credit Recovery unit focused on quadratic equations, covering parent functions, key features of graphs, factoring, and the quadratic formula. Designed for 40-minute class periods with a blueprint-inspired visual theme.
A comprehensive 15-day TSIA2 math review sequence featuring daily warm-up questions and weekly progress logs for students. The program covers all four TSIA2 domains through a "Math Marathon" theme.
A comprehensive math investigation series where students act as detectives to solve mathematical 'crimes' by identifying and correcting common misconceptions in 6th grade math standards.
A comprehensive sequence covering the mastery of linear functions, equations, and inequalities. This progression takes students from identifying functions and solving basic equations to complex modeling with lines of best fit and inequality systems.
An intensive 4-day MAP review sequence for 8th grade students focusing on solving systems of linear equations using graphing, substitution, elimination, and real-world applications. The theme 'Intersection Investigators' uses a detective motif to make algebraic concepts engaging and accessible for reteaching.
A 4-day intensive tutoring sequence for 8th-grade Missouri MAP review, focusing on graphing proportional relationships, unit rate as slope, and comparing multiple representations. Designed for 20-minute high-impact sessions using a retro-gaming theme.
A 4-week project where students act as Space Architects, using coordinate planes, geometry, and numerical patterns to design a futuristic space station and present their plans.
A rigorous week of spiral math review for 5th-grade students. Each day features a 2-page worksheet covering mixed standards—including decimal operations, fraction arithmetic, multi-digit division, and volume—along with complex multi-step word problems and detailed answer keys.
A comprehensive unit on solving systems of linear equations using the substitution method, covering procedural steps, graphical verification, and real-world modeling.
A comprehensive assessment sequence focused on consumer mathematics, linear equations, and systems of equations through the lens of real-world scenarios like business comparisons and service fees.
A series of algebra and geometry foundation lessons designed with a technical blueprint aesthetic, focusing on precision, organized computation, and visual clarity in mathematical steps.
A comprehensive unit on 6th-grade expressions (NC.6.EE.1-4) themed around architecture and construction. Students act as 'Expression Architects' to master exponents, algebraic expressions, and equivalent properties.
A rigorous Saturday school session focused on Grade 7 Math standards, specifically proportional relationships, expressions, and percent change, featuring high-stakes testing strategies like process of elimination and estimation.
A comprehensive unit on qualitative graph analysis for 8th grade students, focusing on interpreting functional relationships, identifying intervals, and matching stories to graphs.
A Unit 8 Algebra sequence for 9th-grade IEP students, covering systems of linear equations. Includes graphing (8.1), substitution (8.2), and elimination (8.3) methods with high visual scaffolding, 60-minute lesson plans, and comprehensive student packets.
A comprehensive 3-week unit on quadratic equations themed around aerospace engineering and flight mechanics. Students learn to factor, graph, use the quadratic formula, and model projectile motion through the lens of mission control and rocket launches.
A series of targeted Algebra 1 lessons focusing on foundational linear skills: solving equations, inequalities, and calculating rate of change, all aligned to STAAR standards.
A comprehensive 2.5-week unit on business mathematics focusing on compensation structures, including hourly wages, overtime, timecards, piecework, piecewise pay functions, and commission, with integrated numeracy reviews.
A 3-day healthcare-themed project for remedial precalculus students. It covers algebra 2 fundamentals, systems of equations, and introductory trigonometric transformations within clinical contexts.
A high-energy, real-world application of exponential growth and decay through an interactive scavenger hunt. Students solve 20 distinct word problems to navigate a loop of stations.
A comprehensive unit on Grade 8 TEKS-aligned linear relationships, focusing on slope, y-intercept, and multiple representations. This sequence moves from discovery-based exploration of rate of change to mastery of STAAR-format algebraic computations.
A focused sequence on distinguishing between additive and multiplicative numerical patterns, specifically targeting TEKS 5.4D and 5.4C for 5th-grade students.
Ce module introduit les concepts fondamentaux des relations linéaires pour les élèves de CM2/Grade 5 en utilisant l'analogie de la machine à transformer les nombres.
A 5-lesson Algebra series focused on linear inequalities and systems of equations, designed for 9th-grade special education students with scaffolded instruction, visual aids, and scripted teacher guidance.
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.
This sequence explores real-world applications of rational exponents across biology, astronomy, music, finance, and physics. Students transition from abstract algebraic manipulation to applying fractional powers to model complex natural and human-made systems.
A graduate-level exploration of non-linear bivariate analysis, moving from the limitations of linear correlation to rank-based methods, local regression, and information-theoretic metrics. Students develop the skills to quantify complex dependencies in biological, financial, and environmental systems where standard assumptions fail.
A graduate-level project-based sequence focused on the rigorous comparison and selection of mathematical models. Students progress from strategy definition and candidate generation to statistical benchmarking and stability analysis, culminating in a professional-grade technical defense.
A technical workshop sequence for 11th-grade students focusing on cross-validation techniques, including train-test splits, MSE calculation, and K-Fold validation to assess and select robust mathematical models.
This sequence guides undergraduate students through the transition from descriptive statistics to predictive modeling. It covers hypothesis testing, linear and multiple regression, model evaluation, and logistic classification, emphasizing both mathematical foundations and practical coding implementation.
This sequence moves beyond simple error metrics to explore sophisticated selection criteria that penalize complexity, specifically AIC and BIC. Students learn to balance model fit with parsimony through real-world datasets and comparative analysis.
An advanced 12th-grade mathematics sequence focusing on model evaluation and selection. Students explore the bias-variance trade-off, information criteria (AIC/BIC), and cross-validation to select optimal predictive models.
A project-based exploration of stochastic modeling, focusing on Queueing Theory and Monte Carlo simulations. Students design and build computational models to optimize real-world systems like traffic flow and service lines.
A project-based unit where students apply polynomial calculus concepts to real-world scenarios like business profits, projectile motion, and engineering design. Students transition from abstract solving to modeling data and optimizing outcomes using regression, intercepts, and extrema.
An advanced graduate-level sequence exploring the mathematical foundations of model selection, including bias-variance decomposition, information criteria (AIC/BIC), resampling methods, and high-dimensional diagnostic strategies.
This sequence guides undergraduate students through model comparison and selection, covering the bias-variance tradeoff, cross-validation methods, and information criteria (AIC/BIC). Students will learn to balance model complexity with generalization ability to select the most robust models for prediction and inference.
This sequence guides undergraduate students through the rigorous process of mathematical modeling, from identifying function families via rates of change to validating complex models using residual analysis. Students explore linear, exponential, logistic, sinusoidal, and piecewise models in real-world contexts.
A 10th-grade mathematics sequence focusing on modeling real-world environmental data using linear, exponential, and piecewise functions. Students progress from identifying variables to performing complex regression analysis and presenting predictive models.
A comprehensive Algebra 1 EOC preparation series designed for AVID classrooms, focusing on inquiry-based learning and collaborative problem-solving across linear, quadratic, and exponential functions.
A 10-day intensive review sequence for the Texas Algebra I EOC exam, focusing on two high-stakes vocabulary terms each day with definitions, visual samples, and practice problems.
A comprehensive 10-week preparation sequence designed to get students ready for the Algebra I Regents exam by May 15th, featuring bi-weekly 30-minute practice sessions and visual anchor charts.
A series of targeted review lessons designed to prepare students for the Texas Algebra 1 End-of-Course (EOC) assessment, focusing on high-stakes TEKS.
A comprehensive prep sequence for the most challenging questions on the ACT Math and Science sections. It focuses on high-level conceptual blueprints for math topics like complex numbers and matrices, alongside speed-reading and data-interpretation strategies for the Science section.
A Tier 2 intervention sequence focused on the conceptual and algebraic foundations of inverse functions. Students move from reversing input-output tables to solving algebraic equations to find inverse expressions.
A comprehensive ACT Math preparation program focusing on essential strategies, high-yield Algebra and Geometry concepts, and realistic practice to boost scores.
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 comprehensive pre-calculus unit focused on the algebraic and geometric properties of inverse functions, including composition-based verification and domain restrictions.
A lesson sequence focusing on analyzing and manipulating exponential functions to reveal true growth rates, using real-world financial contexts and exponent rules.
A comprehensive math lesson focusing on identifying and representing relationships between numerical patterns using input/output tables and equations.
A 10th-grade trigonometry unit where students model circular motion using Ferris wheels, translating physical dimensions like radius, hub height, and speed into sine and cosine functions.
A comprehensive 4-lesson small group intervention series focused on TEKS 5.4C and 5.8C. Students master generating numerical patterns from rules, plotting ordered pairs in the first quadrant, and solving real-world coordinate plane problems.
A comprehensive 5-day self-paced packet for remedial Algebra 1 students focusing on the fundamentals of graphing, from basic coordinate planes to finding slope.
A comprehensive grade recovery packet for 9th Grade Algebra 1 students, covering exponent laws, exponential functions, polynomial operations, and factoring techniques.
A foundational math sequence for special education students (grades 5-6) focusing on algebraic thinking and spatial reasoning through highly visual, themed units.
A specialized Tier 3 intervention sequence for 8th-grade students performing at a 5th-grade level, focusing on bridging foundational arithmetic to high school algebra concepts. This sequence uses concrete-representational-abstract (CRA) methods to explore area modeling, systems of equations, exponential patterns, and inequalities.
A targeted Tier 2 intervention sequence focused on interpreting linear and exponential parameters in contextual problems, aligned with Colorado standard HS.F-LE.B.5. Students learn to decode slope, initial value, and growth factors using a navigation-inspired theme.
A targeted intervention sequence focused on helping high school students master arithmetic and geometric sequences through visual patterns, number lines, and real-world modeling. This sequence aligns with Colorado standard HS.F-BF.A.2.
A high school Tier 2 intervention unit focused on comparing linear, quadratic, and exponential growth rates using tables and graphs to demonstrate the eventual dominance of exponential functions.
A 7-week comprehensive math review sequence designed to prepare 6th-grade students for North Carolina state testing, covering Number Systems, Ratios, Expressions, Geometry, and Statistics.
A Tier 2 intervention sequence focused on helping high school students master the conversion between recursive and explicit formulas for arithmetic and geometric sequences through scaffolded side-by-side organizers.
A targeted intervention sequence for high school statistics students focusing on fitting linear functions to scatter plots. It moves from conceptual understanding of 'balance' in data to the procedural steps of calculating lines of best fit.
A targeted intervention sequence designed to help students bridge the gap between sequences and function notation, focusing on domain and recursive definitions.
A targeted intervention sequence focusing on the derivation and application of the geometric series sum formula for high school algebra students requiring Tier 2 support.
A Tier 2 intervention sequence focused on helping 8th-grade students master the construction and interpretation of linear functions ($y = mx + b$) from various representations. The sequence emphasizes scaffolding, contextual meaning, and procedural fluency with rate of change and initial values.
A targeted intervention sequence focused on Grade 8 linear modeling, helping students construct functions from verbal descriptions, tables, and graphs while interpreting rate of change and initial value in context.
A targeted intervention sequence focused on mastering trigonometric equations through inverse functions, visual symmetry, and contextual application. This sequence provides Tier 2 support for students needing scaffolded paths to find both principal and secondary solutions.
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 sequence bridges the gap between discrete mathematics and quantitative finance, focusing on the application of geometric series to asset valuation, loan amortization, and risk management. Graduate students will develop the mathematical foundations for pricing complex financial instruments and understanding market dynamics.
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 comprehensive unit for 12th-grade algebra focusing on solving equations with rational exponents, investigating extraneous solutions, and visualizing intersections graphically.
A comprehensive unit for undergraduate students focusing on the algebraic techniques and logical pitfalls involved in solving equations with variables raised to rational exponents. Students progress from basic isolation to quadratic-form structures and non-linear systems.
This sequence introduces undergraduate students to first-order differential equations through geometric visualization, analytical solving techniques (separation, integrating factors), and real-world modeling of thermal, biological, and electrical systems.
This sequence for undergraduate students focuses on complex algebraic structures involving exponentials, including quadratic forms, distinct bases, inequalities, systems, and transcendental limitations. It prepares students for higher-level calculus and engineering mathematics through rigorous analytical techniques.
A comprehensive exploration of exponential modeling across finance, biology, and physics, focusing on the algebraic techniques required to solve for time and rate variables in real-world growth and decay scenarios.
This sequence establishes foundational algebraic techniques for solving exponential equations, moving from common base matching to logarithmic inversion. It emphasizes the concept of inverse functions as the primary mechanism for variable isolation, preparing students for calculus and scientific applications.
A 9th-grade algebra sequence focused on modeling and solving exponential equations in real-world contexts like finance, biology, and archaeology. Students learn to construct models and solve for time using algebraic and graphical methods.
This sequence guides students through the algebraic methods for solving exponential equations, from the foundational skill of base rewriting to the introduction and application of logarithms. Students build structural recognition to handle both matchable and non-matchable bases.
This sequence guides 11th-grade students through algebraic techniques for solving exponential equations. It starts with base manipulation, introduces logarithms as inverse operations, and concludes with complex quadratic forms and the natural base e.
A comprehensive lesson for 8th-grade math students to distinguish between arithmetic and geometric sequences through interactive sorting and video-based analysis.
A math sequence for 11th Grade Special Education focusing on visual representations of functions. Students learn to interpret graphs as narratives, moving from qualitative sketches to precise quantitative analysis of slope, intersections, and non-linear trends.
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.
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.
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.
This sequence explores the relationship between rational exponents and the geometric behavior of power functions. Students analyze how numerators and denominators dictate domain, range, shape, and growth rates through inquiry and visual sketching.
This sequence investigates real-world applications of rational exponents in biology, finance, music, and physics. Students explore how fractional powers model growth, scaling, and harmonic relationships, culminating in a data-modeling project.
A sequence for undergraduate students bridging pre-calculus and calculus by focusing on the analytical properties of functions with rational exponents. Students explore graphing, algebraic rewriting, rationalizing for limits, and growth comparison.
