Algebra

A series of focused assessments to verify student mastery of polar coordinate plotting, conversion, graphing special curves, and representing complex numbers in polar form.

A strategic masterclass for the ACT Science section, focusing on speed-reading data sets, identifying experimental variables, and decoding scientific logic. This lesson emphasizes the 'Straight to the Data' approach to maximize score in the 35-minute time limit.

An introductory exploration of calculus-adjacent concepts tested on the ACT, focusing on limits, instantaneous rates of change, and function optimization. Students will master the Limit Blueprint and apply rate-of-change logic to complex algebraic scenarios.

An intensive masterclass on advanced trigonometric identities, the unit circle, and non-right triangle laws. Students will master the Pythagorean identities, Law of Sines/Cosines, and the specific ACT-style unit circle coordinates required for top-tier scores.

A specialized deep dive into advanced geometry concepts including circle equations, 3D volume/surface area of complex shapes, and coordinate geometry involving perpendicularity and distance. Students will master completing the square for circles and visualizing 3D cross-sections.

A specialized deep dive into trigonometric functions, mastering the critical distinction between period and frequency. Students will apply the 2π/b blueprint to decode sine and cosine graphs and solve high-difficulty periodic motion problems.

A focused deep dive into imaginary and complex numbers. Students will master powers of i, arithmetic with complex conjugates, and solving quadratic equations with complex roots—all through the lens of ACT-style 'Final Ten' questions.

A comprehensive lesson focused on high-level ACT Math topics including matrices, complex functions, trigonometry, and advanced statistics. The lesson emphasizes identifying common 'traps' and applying architectural-style problem-solving strategies.

A targeted Tier 2 intervention lesson focusing on the introduction of the imaginary unit i and the standard form of complex numbers a+bi, featuring a visual number line rotation model.

A Tier 2 intervention lesson focusing on the definition of i, the structure of complex numbers, and plotting in the complex plane for high school algebra students.

A targeted Tier 2 intervention lesson focusing on the conceptual foundation of complex numbers, specifically why i squared equals -1 and how this extends the real number system through visual discovery and graphic organizers.

Master the most challenging topics on the ACT, including Pre-Calculus concepts (matrices, vectors, complex numbers) and high-difficulty Geometry (Law of Sines/Cosines, ellipses).

Apply strategies and knowledge in a timed practice environment with a representative ACT Math question set.

Review critical Geometry and Trigonometry concepts, from SOH CAH TOA to circle properties and coordinate geometry.

Deep dive into high-yield Algebra topics including linear functions, systems of equations, and quadratic properties frequently tested on the ACT.

Master the structure of the ACT Math section and learn time-saving strategies like 'The 3-Pass Method' and 'Plugging In' while reviewing essential formulas.

A comprehensive Algebra II / Pre-Calculus lesson on adding and subtracting real and complex numbers, featuring a card-matching activity and a deep dive into standard form (a + bi).

A high-level exploration of Pythagorean Triples through the lens of complex number moduli, connecting geometry, algebra, and standardized test-taking strategies.

Students explore the geometric representation of complex numbers, connecting the modulus formula to the Pythagorean theorem and distance formula through visualization and practice.

A comprehensive lesson for Algebra II students on calculating the absolute value (modulus) of complex numbers. The lesson covers algebraic calculation, geometric representation in the complex plane, and the connection to the Pythagorean theorem.

A real-world project exploring linear functions through cell phone plans and career earnings. Students analyze slope as a rate of change and the y-intercept as a starting value.

A comprehensive guide to analyzing and graphing rational functions, covering all key features from asymptotes to holes.

A comprehensive 35-minute lesson on graphing quadratic functions in standard form, covering vertex, axis of symmetry, end behavior, and zeros.

Summative assessment covering intercepts, vertex, AOS, and solving quadratic equations using various methods.

Comprehensive review of unit targets including graphing features and all solving methods.

Synthesizing solving methods (graphing, factoring, formula) and choosing the most efficient strategy for different quadratic forms.

Using the quadratic formula to solve equations and the discriminant to determine the nature of the roots.

Solving quadratic equations by factoring and identifying x-intercepts using the Zero Product Property.

Finding the vertex, axis of symmetry, and intercepts of quadratic functions from standard form equations and graphs.

A high-speed reconnaissance of basic function families, including linear, quadratic, cubic, quartic, absolute value, and radical parent functions.

A summative assessment covering the identification of graph features and solving quadratic equations using multiple methods.

A comprehensive review of all three methods (graphing, factoring, formula) and identifying key features to prepare for the unit assessment.

Students use the quadratic formula to solve equations that are not easily factorable, with an emphasis on identifying coefficients and simplifying the result.

Students learn to solve quadratic equations by factoring trinomials and using the Zero Product Property, focusing on real roots and equations in standard form.

Students explore the quadratic parent function, identify key features of parabolas (vertex, axis of symmetry, zeros), and learn to graph by plotting points.

A comprehensive lesson on core parent functions for Algebra 2, focusing on identification, key features, and visual recognition using a blueprint theme.

A project-based lesson on performing linear regression analysis using United Nations population and surface area data to test socio-economic theories.

A focused lesson on identifying and comparing the domain and range of quadratic functions and their square root inverses using interval notation and graphical analysis.

A lesson focused on graphing and analyzing inverse relations for absolute value and quadratic functions. Students learn to reflect functions across y=x and evaluate if the resulting relation is a function.

A lesson focused on understanding and calculating inverse functions through multiple representations: numerical tables, algebraic equations, and graphical reflections. Students will practice reversing operations and reflecting functions across the line y=x.

A comprehensive lesson on core parent functions for Algebra 2, focusing on identification, key features, and visual recognition using a blueprint theme.

A high-intensity, time-efficient review and assessment unit designed for 30-minute class periods, focusing on core factoring techniques for Algebra 2 credit recovery.

A guided exploration of discrete and continuous compound interest formulas through visual organizers and structured notes.

A comprehensive 40-minute lesson on finding the Greatest Common Factor (GCF) using the ladder method, covering both numerical and algebraic expressions.

A comprehensive lesson on mastering Greatest Common Factor (GCF) and quadratic factoring techniques using a structured, step-by-step blueprint approach.

Day 10 of the EOC review focusing on Asymptotes and Correlation Coefficients.

Day 9 of the EOC review focusing on Exponential Growth and Decay.

Day 8 of the EOC review focusing on Roots, Zeros, and Solutions of quadratics.

Day 7 of the EOC review focusing on Quadratic Vertex and Axis of Symmetry.

Day 6 of the EOC review focusing on the Laws of Exponents and Polynomial operations.

Day 5 of the EOC review focusing on Systems of Equations and finding their Solutions.

Day 4 of the EOC review focusing on Parent Functions and basic Transformations.

Day 3 of the EOC review focusing on identifying Zeros and x-intercepts in various representations.

Day 2 of the EOC review focusing on the core components of linear equations: Slope and y-intercept.

Day 1 of the EOC review focusing on the fundamental concepts of Domain and Range.

A Tier 2 intervention lesson for high school students focusing on translating, interpreting, and simplifying algebraic expressions using visual models and error analysis.

A comprehensive lesson on exponential functions, focusing on identifying growth and decay, determining domain and range, describing end behaviors, and applying transformations.

A comprehensive introduction to square root functions, focusing on graphing, identifying key features like domain and range, and analyzing function behavior including end behavior and intervals.

A small-group intervention lesson designed to help students identify and interpret the parameters of linear ($mx+b$) and exponential ($ab^x$) functions within real-world contexts. Includes scaffolded matching activities and a structured writing task for progress monitoring.

A targeted Tier 2 small group intervention focused on the inverse relationship between exponential and logarithmic forms, designed to help students master conversion and foundational problem-solving.

Summative assessment covering intercepts, vertex, AOS, and solving quadratic equations using various methods.

Comprehensive review of unit targets including graphing features and all solving methods.

Synthesizing solving methods (graphing, factoring, formula) and choosing the most efficient strategy for different quadratic forms.

Using the quadratic formula to solve equations and the discriminant to determine the nature of the roots.

Solving quadratic equations by factoring and identifying x-intercepts using the Zero Product Property.

Finding the vertex, axis of symmetry, and intercepts of quadratic functions from standard form equations and graphs.

A high-speed reconnaissance of basic function families, including linear, quadratic, cubic, quartic, absolute value, and radical parent functions.

A lesson focused on graphing and analyzing inverse relations for absolute value and quadratic functions. Students learn to reflect functions across y=x and evaluate if the resulting relation is a function.

A high-energy, investigative lesson where honors students apply the quadratic formula to solve problems with rational and irrational roots to solve a 'case'.

A comprehensive practice set and review presentation for the TSIA2 Math exam, covering Quantitative, Algebraic, Geometric, and Statistical reasoning.

The final week of the TSIA2 Math Marathon, reviewing complex problems and multi-step reasoning.

The second week of the TSIA2 Math Marathon, expanding into geometric and statistical reasoning.

The first week of the TSIA2 Math Marathon, focusing on foundational algebraic and quantitative reasoning.

A procedural practice lesson focused on using the quadratic formula to solve equations with complex and imaginary solutions. Students will identify negative discriminants and simplify results into standard complex form.

A high-energy, visual jeopardy-style game designed for IEP students to master identifying, graphing, and writing inequalities. The lesson focuses on clear visual cues and step-by-step logic.

A comprehensive assessment on radical expressions, operations, complex numbers, and radical equations for Algebra 2 students.

A high-intensity EOC preparation lesson focused on mastering exponential functions, quadratic expressions, and data statistics for the Arkansas Algebra I state exam.

A comprehensive bell-ringer series designed to boost student confidence in solving, graphing, and applying quadratic equations for standardized tests.

A comprehensive review of circle geometry for Honors students, covering angle-arc relationships (central, inscribed, interior, and exterior) and segment lengths (chords, secants, and tangents) through technical blueprint-style visuals and complex algebraic applications.

A STAAR-aligned scavenger hunt focusing on graphing linear functions, writing equations from multiple representations, and solving linear inequalities. Students solve problems at various stations to find their next destination, reinforcing key attributes and solution sets.

A real-world project exploring linear functions through cell phone plans and career earnings. Students analyze slope as a rate of change and the y-intercept as a starting value.

A comprehensive practice set and review presentation for the TSIA2 Math exam, covering Quantitative, Algebraic, Geometric, and Statistical reasoning.

A comprehensive preparation set for the TSIA2 Mathematics assessment, featuring a full-length practice test, detailed step-by-step solutions, and a strategic review presentation.

The final week of the TSIA2 Math Marathon, reviewing complex problems and multi-step reasoning.

The second week of the TSIA2 Math Marathon, expanding into geometric and statistical reasoning.

The first week of the TSIA2 Math Marathon, focusing on foundational algebraic and quantitative reasoning.

Students act as hospital residents to solve clinical problems using algebra 2 and trigonometry skills. The project spans three days and includes systems of equations and periodic function transformations.

A comprehensive geometry lesson on angles of elevation and depression, ranging from basic trigonometry to complex algebraic applications. Students will master identifying, labeling, and solving for angles and distances in real-world scenarios.

A high school geometry lesson where students learn to construct Voronoi diagrams using perpendicular bisectors to solve real-world spatial optimization problems in urban planning.

A high-intensity EOC preparation lesson focused on mastering exponential functions, quadratic expressions, and data statistics for the Arkansas Algebra I state exam.

A high-level performance task involving nested right triangles and surveying applications to challenge advanced geometry students.

An interdisciplinary STEM challenge where 11th and 12th-grade students use exponential growth models and systems of equations to design a self-sustaining Mars colony, calculating metabolic and resource requirements.

An interdisciplinary challenge for 11th and 12th-grade students to model the mathematical and biological requirements for a self-sustaining Mars colony using exponential growth and systems of equations.

A comprehensive STAAR-aligned lesson on systems of linear equations and inequalities, focusing on graphical and algebraic solutions within real-world contexts. Students act as 'System Strategists' to solve business and science scenarios using strategic method selection.

An 8th-grade algebra lesson where students master systems of linear equations by graphing. Through the lens of a 'Break-Even Battle,' students identify the intersection point of two paths to find equilibrium between competing rates of change.

This lesson focuses on leveraging the Desmos graphing calculator to solve SAT Math problems efficiently across Heart of Algebra, Problem Solving and Data Analysis, and Passport to Advanced Math. Students will practice graphing systems, finding key features of nonlinear functions, and performing statistical calculations.

A comprehensive review of systems of linear equations including graphing, substitution, elimination, and real-world application problems involving cost and quantity.

A comprehensive review of linear equations, systems, and data analysis designed for Alabama high school students. This lesson uses real-world urban data to bridge algebraic manipulation with statistical interpretation.

Day 10 of the EOC review focusing on Asymptotes and Correlation Coefficients.

Day 9 of the EOC review focusing on Exponential Growth and Decay.

A high-energy, investigative lesson where honors students apply the quadratic formula to solve problems with rational and irrational roots to solve a 'case'.

Master complex fractions and high-precision decimal operations through the lens of algebraic manipulation and real-world mathematical modeling.

Explore the architecture of rational numbers, focusing on the rigorous conversion between fractions and decimals and the proof-based patterns of repeating digits.

A guided exploration of discrete and continuous compound interest formulas through visual organizers and structured notes.

A Tier 2 intervention lesson designed for high school students to bridge gaps in rational number operations (fractions, decimals, and integers) within algebraic contexts, focusing on visual models and practical equation-solving strategies.

A comprehensive introduction to square root functions, focusing on graphing, identifying key features like domain and range, and analyzing function behavior including end behavior and intervals.

This lesson explores infinite geometric series, focusing on the conditions for convergence and the application of the infinite sum formula. Students will investigate Zeno's Paradox and learn to convert repeating decimals into fractions using series concepts.

A comprehensive lesson on solving quadratic equations when the leading coefficient is greater than 1, emphasizing fraction arithmetic and collaborative problem-solving through a relay activity.

A comprehensive lesson for Algebra II students on graphing exponential functions with base 'e', featuring a video-led tutorial, pair activities, and domain/range analysis.

This lesson introduces students to the imaginary unit i, teaching them to distinguish between real and imaginary numbers and how to simplify radicals with negative radicands using video guidance and a tactile sorting activity.

Students explore the geometric representation of complex numbers, connecting the modulus formula to the Pythagorean theorem and distance formula through visualization and practice.

A lesson introducing imaginary numbers through the exploration of square roots of negative numbers, distinguishing them from real numbers, and investigating the behavior of even versus odd roots of negative values.

An advanced polynomial analysis lesson where students reverse-engineer polynomials from fractional roots to discover the mechanics of the Rational Root Theorem.

Students generalize the process of simplifying radicals from square roots to higher-index roots, using prime factorization and grouping strategies for cube and 4th roots.

A high-school level investigation into the domain of square root functions, focusing on why negative numbers are 'forbidden' in the set of Real numbers. Students use calculators to hunt for the one type of number that breaks the rules of square roots.

This lesson focuses on the crucial distinction between square rooting numerical coefficients and variables with exponents, specifically applied to the Difference of Squares formula with high-power variables.

A comprehensive lesson exploring the parent cube root function, contrasting its domain and range with square root functions, and investigating transformations through a detective-style activity.

A Pre-Calculus lesson exploring the constant e through limit definitions and numerical convergence. Students will 'race' to calculate e to high precision using two different limit formulas and evaluate their performance.

A geometry lesson focused on mastering 30-60-90 triangles by building a logic-based decision tree (flowchart). Students move from identifying triangle components to applying algebraic operations based on the 'shorter side vs. longer side' rule.

A high-school geometry lesson focused on solving 30-60-90 triangles with radical expressions and rationalizing denominators. Includes a collaborative relay activity and video-guided instruction.

A lesson focused on the product and quotient properties of logarithms, specifically adding and subtracting logs. Designed with heavy scaffolding for a math resource setting.

This lesson introduces exponential growth and decay functions, focusing on modeling real-life situations, identifying growth and decay factors, and analyzing key attributes of exponential models. Students will transition from Algebra 1 foundations to advanced Algebra 2 applications using the standard model \(y = ab^x\).

A summative assessment covering the identification of graph features and solving quadratic equations using multiple methods.

A comprehensive review of all three methods (graphing, factoring, formula) and identifying key features to prepare for the unit assessment.

Students use the quadratic formula to solve equations that are not easily factorable, with an emphasis on identifying coefficients and simplifying the result.

Students learn to solve quadratic equations by factoring trinomials and using the Zero Product Property, focusing on real roots and equations in standard form.

Students explore the quadratic parent function, identify key features of parabolas (vertex, axis of symmetry, zeros), and learn to graph by plotting points.

A comprehensive lesson on core parent functions for Algebra 2, focusing on identification, key features, and visual recognition using a blueprint theme.

Students apply their knowledge of permutations and combinations to design their own lottery game, calculating the odds of winning and presenting their mathematical findings in a professional format.

A comprehensive practice set and review presentation for the TSIA2 Math exam, covering Quantitative, Algebraic, Geometric, and Statistical reasoning.

The final week of the TSIA2 Math Marathon, reviewing complex problems and multi-step reasoning.

The second week of the TSIA2 Math Marathon, expanding into geometric and statistical reasoning.

The first week of the TSIA2 Math Marathon, focusing on foundational algebraic and quantitative reasoning.

Master complex fractions and high-precision decimal operations through the lens of algebraic manipulation and real-world mathematical modeling.

Explore the architecture of rational numbers, focusing on the rigorous conversion between fractions and decimals and the proof-based patterns of repeating digits.

A guided exploration of discrete and continuous compound interest formulas through visual organizers and structured notes.

A comprehensive geometry lesson exploring the relationships between chords, secants, and tangents within circles through the 'Segment Squad' blueprint theme.

In this lesson, students will apply their knowledge of exponential growth and decay formulas to solve 20 real-world scenarios. They will move through stations in a self-correcting loop, reinforcing their understanding of interest, half-life, population growth, and depreciation.

A focused practice session on simplifying radicals and rationalizing denominators, designed to prepare students for the Algebra 2 Topics 7-8 Assessment.

A lesson exploring the mathematics of exponential growth and decay through real-world scenarios, focusing on formula mastery and percentage-to-decimal conversion.