Algebra

Blueprint of Math

A comprehensive journey from basic arithmetic to algebraic reasoning, bridging the gap between elementary calculations and middle school expressions.

Foundation Missions Worksheet Part 1 Revised

Foundation Missions Worksheet Part 2 Revised

Math in Motion

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.

EL

Elsa LaLone

Brain Blueprint Math Review

A comprehensive 5-day math review sequence designed for middle school students preparing for state testing. The sequence covers number systems, expressions, ratios, geometry, and statistics through a 'Brain Blueprint' theme.

alicia accapezzato

5/6

Math Quest EOG Prep

A comprehensive 6th grade math review sequence designed to prepare students for End-of-Grade testing through a gamified Jeopardy-style challenge. Includes interactive presentation slides, student work trackers, and detailed teacher keys.

MK

Michell Kisler

5/3

Number Lab Weekly Math

A weekly spiral review series for 3rd-grade math, aligned with North Carolina Standard Course of Study. Each page provides a mix of operations, number sense, measurement, and geometry problems designed for morning work.

SP

sashagaye Panton

5/2

Club Maths Héroïnes

Un projet complet pour un atelier "Filles et Maths" destiné aux élèves de 6ème, incluant un dossier de présentation pour la direction et un calendrier annuel d'activités basées sur la logique et le numérique.

E

Enseignante

5/1

Grade 4 Math Mastery

A comprehensive collection of Tier 2 reteach lessons for every 4th grade NYS Math standard, using consistent visual models, thematic elements, and tiered support structures.

AS

Annie Shields

Empire State Math Prep

A intensive two-day review sequence designed to prepare 6th-grade students for the NYS math exam, covering Ratios, The Number System, Expressions, Equations, Geometry, and Statistics. Each day provides 40 minutes of targeted practice and vocabulary reinforcement.

Cheyenne Watkins

Emergency Math Kits

A set of two comprehensive 90-minute substitute teacher packets covering middle school math topics. Each packet includes review exercises, application problems, and extension activities designed for independent student work.

Cheyenne Watkins

NYS Math Mastery Review

A comprehensive 7-week review sequence designed to prepare 6th-grade students for the NYS Math Assessment. Each week focuses on a high-leverage domain with NYS-style multiple choice and constructed response questions.

Anna Gomez

Pepper Power

A sequence focused on exponential growth models through the lens of agricultural yields, specifically tracking the population growth of peppers from a single fruit.

M

MELANIE.ROBERTS

Science Teacher

Foundations Blueprint

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.

Anna Gomez

Empire State Math Prep

A 7-week math review sequence for 7th-grade students preparing for the NYS Math Assessment, covering proportional relationships, percents, algebraic expressions, inequalities, scale drawings, and statistics/probability.

Anna Gomez

Math Blueprint Week 1 Booklet (NYS Aligned)

Math Blueprint Week 3 Booklet (NYS Aligned)

Math Blueprint Week 4 Booklet (NYS Aligned)

Math Blueprint Week 5 Booklet (NYS Aligned)

Math Blueprint Week 2 Booklet (NYS Aligned)

Math Blueprint Week 6 Booklet (NYS Aligned)

Math Blueprint Week 7 Booklet (NYS Aligned)

Math NYS Blueprint Spiral

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.

Anna Gomez

Math Mastery Progression

A comprehensive collection of RIT-aligned math mastery resources for student and teacher tracking across key mathematical development ranges.

llocascio

4/27

Linear Logic Blueprints

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.

david.marques

Formula Flip

A comprehensive unit on literal equations and formula manipulation, focusing on using inverse operations to rearrange variables in geometry and physics contexts.

Karen Dhuyvetter

Quadratic Blueprints Unit

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.

Melanie Quick

4/21

Expression Architects

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.

BR

Brandon Ruffin

4/19

Math Marathon TSIA2 Prep

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.

Penne Reed

Generate Equivalent ExpressionsDistributive property, combining like terms, and factoring to rewrite algebraic expressions. Builds fluency in identifying mathematical equivalence across various symbolic representations.

Log Decoder Sequence

A focused sequence on finding the inverse of logarithmic functions using algebraic switching, featuring a high-tech 'Log Decoder' theme.

Cheydon Krysl

Math in Motion

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.

EL

Elsa LaLone

Brain Blueprint Math Review

A comprehensive 5-day math review sequence designed for middle school students preparing for state testing. The sequence covers number systems, expressions, ratios, geometry, and statistics through a 'Brain Blueprint' theme.

alicia accapezzato

5/6

Club Maths Héroïnes

Un projet complet pour un atelier "Filles et Maths" destiné aux élèves de 6ème, incluant un dossier de présentation pour la direction et un calendrier annuel d'activités basées sur la logique et le numérique.

E

Enseignante

Math Mastery Progression

A comprehensive collection of RIT-aligned math mastery resources for student and teacher tracking across key mathematical development ranges.

llocascio

4/27

Factor Force

A sequence focused on the foundational skills of factoring, including prime factorization, finding the Greatest Common Factor (GCF), and introducing the distributive property in reverse for grades 6-7.

4/24

Formula Flip

A comprehensive unit on literal equations and formula manipulation, focusing on using inverse operations to rearrange variables in geometry and physics contexts.

Karen Dhuyvetter

Expression Architects

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.

BR

Brandon Ruffin

4/19

Blueprint Bound Student Packet Plus Workspace

Blueprint Bound Student Packet Plus Workspace Print Version

Blueprint Bound Teacher Key Final Print Version

Blueprint Bound Saturday Prep

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.

Cheyenne Watkins

Math Mastery Guide

A collection of high-quality study tools and practice resources for 6th-grade math, focusing on Ratios, Proportions, Expressions, and Equations.

FB

Faith Bain-Lucey

Metro Math Mastery

A comprehensive 3-packet New York State test prep series for 7th grade math, covering all major domains including Ratios, Number Systems, Expressions, Equations, Geometry, and Statistics. Each packet includes vocabulary, fluency, guided practice, and a 15-question mock exam.

Cheyenne Watkins

Calculation Chaos Exit Ticket Answer Key

Consumer Math Student Test Final No Backslashes

Consumer Math Teacher Key Final No Backslashes

Consumer Math Student Test Final No Backslashes V2

Consumer Math Systems Mastery

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.

david.marques

Payroll Pros

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.

Melanie Quick

Profit Pro Ledger

A comprehensive 2.5-week introductory unit for Business Math focusing on decimal, fraction, and percentage operations, algebraic solving, and payroll management. This unit aligns with Indiana BMH standards (1.1, 5.1-5.3, 10.1-10.5), preparing students for practical financial applications through 70-minute instructional blocks.

Melanie Quick

Proportionality Blueprint Facilitator Guide

Proportion Power

A geometric exploration of similar triangles, focusing on identification criteria and real-world applications of scale factors and proportions.

DE

Donia ElSayed

Gig Guru Project

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.

EE

Ezz Eldeen Ahmed

llocascio

4/27

Empire State Math Sprints

A series of four targeted homework assignments designed to prepare 7th-grade students for the New York State Mathematics Test. Each assignment covers key domains including Number Systems, Ratios and Proportions, Geometry, Statistics, and Probability in a standardized format.

Cheyenne Watkins

Scaling Reality Ratios and Proportions

A 4-day unit on Ratios and Proportions integrating one-step, two-step, and multi-step algebraic equations with real-world applications. Students progress from simple cross-multiplication to complex proportional reasoning with variables on both sides.

Karen Dhuyvetter

Pattern Detectives

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.

SM

Safiyyah Multani

4/22

Math Box Collection

A collection of 4th-grade math review sheets modeled after the 'Math Boxes' format, focusing on mixed skills practice, mental math, and written reasoning.

Dahlia.Sirilla

4/20

Math Marathon TSIA2 Prep

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.

Penne Reed

Math Quest Review

A comprehensive review sequence for 7th grade math featuring themed stations covering Ratios, Rational Numbers, Algebra, and Geometry through interactive games and puzzles.

Cheyenne Watkins

Algebra Blueprint Series

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.

deeohnny.jackson

Boundary Builders Student Packet Space Optimized

Boundary Builders Teacher Packet Key Space Optimized

Meeting Point Mastery Teacher Packet Key

Meeting Point Mastery Student Packet Project

Substitution Showdown Student Packet Project

Substitution Showdown Teacher Key Project

Substitution Showdown Lesson Plan Project

Curve Command

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.

Melanie Quick

Math Marathon TSIA2 Prep

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.

Penne Reed

Math Mastery Guide

A collection of high-quality study tools and practice resources for 6th-grade math, focusing on Ratios, Proportions, Expressions, and Equations.

FB

Faith Bain-Lucey

Exam Architect Prep

A comprehensive test preparation series focused on 7th Grade NYS Math standards, using a blueprint-inspired design to help students construct their mathematical understanding.

Cheyenne Watkins

Metro Math Mastery

A comprehensive 3-packet New York State test prep series for 7th grade math, covering all major domains including Ratios, Number Systems, Expressions, Equations, Geometry, and Statistics. Each packet includes vocabulary, fluency, guided practice, and a 15-question mock exam.

Cheyenne Watkins

Equation Solving and ReasoningAlgebraic manipulation, inverse operations, and logical justifications for solving linear and multi-step equations. Develops the ability to verify solutions and communicate mathematical steps clearly.

Log Decoder Sequence

A focused sequence on finding the inverse of logarithmic functions using algebraic switching, featuring a high-tech 'Log Decoder' theme.

Cheydon Krysl

Blueprint of Math

A comprehensive journey from basic arithmetic to algebraic reasoning, bridging the gap between elementary calculations and middle school expressions.

5/3

Area Architects and Perimeter Patrol

A comprehensive 5-day unit for 3rd grade focusing on area (NC.3.MD.7) and perimeter (NC.3.MD.8). Students transition from tiling to multiplication, explore the distributive property of area, and master perimeter calculation through a blueprint-themed architectural lens.

A

astrid.rojastorres

5/2

Number Lab Weekly Math

A weekly spiral review series for 3rd-grade math, aligned with North Carolina Standard Course of Study. Each page provides a mix of operations, number sense, measurement, and geometry problems designed for morning work.

SP

sashagaye Panton

5/2

Club Maths Héroïnes

Un projet complet pour un atelier "Filles et Maths" destiné aux élèves de 6ème, incluant un dossier de présentation pour la direction et un calendrier annuel d'activités basées sur la logique et le numérique.

E

Enseignante

5/1

Linear Equations and SystemsSolving single-variable linear equations and systems through graphing, substitution, and elimination. Targets algebraic manipulation and real-world modeling of simultaneous relationships.

Log Decoder Sequence

A focused sequence on finding the inverse of logarithmic functions using algebraic switching, featuring a high-tech 'Log Decoder' theme.

Cheydon Krysl

Blueprint of Math

Anna Gomez

Melanie Quick

4/21

Metro Math Mastery

A comprehensive 3-packet New York State test prep series for 7th grade math, covering all major domains including Ratios, Number Systems, Expressions, Equations, Geometry, and Statistics. Each packet includes vocabulary, fluency, guided practice, and a 15-question mock exam.

Cheyenne Watkins

Graph Trackers

A comprehensive unit on qualitative graph analysis for 8th grade students, focusing on interpreting functional relationships, identifying intervals, and matching stories to graphs.

ER

Enessia R. Jones

Linear Algebra Mastery Track

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.

david.marques

Intersection Investigators

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.

RB

Rebecca Bale

Proportional Power Up

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.

RB

Rebecca Bale

Galaxy Grid Architects

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.

N

ntobin

4/1

English Language Arts Teacher

EOC Blueprint

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.

ES

Erin Sims

3/30

Swap Masters Unit

A comprehensive unit on solving systems of linear equations using the substitution method, covering procedural steps, graphical verification, and real-world modeling.

alicia accapezzato

Vital Vitals Healthcare Project

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.

KC

Kris Coyne

Intersection Investigators

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.

RB

Rebecca Bale

Galaxy Grid Architects

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.

N

ntobin

4/1

Swap Masters Unit

A comprehensive unit on solving systems of linear equations using the substitution method, covering procedural steps, graphical verification, and real-world modeling.

alicia accapezzato

3/26

Algebra Ace Countdown

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.

Penne Reed

3/3

English Language Arts Teacher

Algebra Archive Review

A comprehensive 3-day review sequence for the Algebra I Regents examination, focusing on foundations, systems, and polynomial operations. Each 75-minute lesson provides a balance of guided instruction and independent practice with problems modeled after the NYS Interim Assessment.

AO

Archie Olson

2/24

Algebra Regents Power Prep

A series of five high-stakes review rounds designed to prepare students for the Algebra I NYS Regents exam, focusing on expressions, equations, inequalities, and functions.

Cheyenne Watkins

2/20

Advanced ACT Mastery

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.

ava larumbe

Concept Lab Math

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

achurchill

District Administrator

Systems Intersections Intervention

A small-group algebra intervention sequence focused on solving systems of linear and nonlinear equations. Students learn to identify intersection points graphically and verify them algebraically through substitution.

Constraint Architects

A targeted intervention sequence focused on translating verbal constraints into mathematical inequalities, graphing systems to find feasible regions, and interpreting solutions in real-world contexts. Designed for Tier 2 small group support.

Equation Engineers

A targeted intervention sequence focused on the logic and justification behind solving systems of equations through linear combinations, ensuring students understand why the methods work.

Real-World Algebraic ProblemsTranslates complex word problems into solvable equations and inequalities to model financial, scientific, and geometric scenarios. Equips students with strategies for identifying variables and interpreting mathematical results within practical contexts.

Blueprint of Math

Anna Gomez

Pepper Power

A sequence focused on exponential growth models through the lens of agricultural yields, specifically tracking the population growth of peppers from a single fruit.

M

MELANIE.ROBERTS

Blueprint Builders Math Unit

A 5-day intensive math unit for 3rd-grade students focused on North Carolina Standards NC.3.MD.7 (Area) and NC.3.MD.8 (Perimeter), using a cohesive 'Blueprint Builders' architectural theme.

A

astrid.rojastorres

Math NYS Blueprint Spiral

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.

Anna Gomez

Math Blueprint Intensive

A comprehensive 10-day intensive review packet covering North Carolina 3rd grade math standards for fractions, area, perimeter, and two-step word problems, designed for at-home study with a 'Math Blueprint' theme.

SP

sashagaye Panton

4/26

Linear Logic Blueprints

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.

david.marques

Formula Flip

A comprehensive unit on literal equations and formula manipulation, focusing on using inverse operations to rearrange variables in geometry and physics contexts.

Karen Dhuyvetter

Exponential Growth Lab

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.

Cheydon Krysl

4/14

Math Mastery Sequence

A comprehensive math review sequence covering place value, number operations, and algebraic thinking for elementary students. Includes gradual release instruction and extensive independent practice.

TM

Tyler Monell

4/13

ILEARN Mastery Quest

A comprehensive 4-part review sequence designed to prepare 6th-grade students for the ILEARN math assessment. Each stage focuses on a major domain of the Indiana academic standards, using a 'Quest' theme to engage students in digital practice.

K

Kristin.Afana

Expression StructureIdentification of terms, factors, and coefficients within algebraic expressions. Analyzes the relationship between expression components to simplify complex forms and identify equivalent structures.

4/9

Blueprint of Math

A comprehensive journey from basic arithmetic to algebraic reasoning, bridging the gap between elementary calculations and middle school expressions.

Operation Math Mastery

A 4-day intensive reteach unit for 5th-grade math standards, styled as a high-stakes secret agent mission. Students solve task cards to crack codes and 'escape' daily challenges covering decimals, expressions, geometry, and measurement.

JJ

Jessica James

4/7

STAAR Success Packets

A comprehensive collection of STAAR-aligned practice packets for 3rd-5th grade Math, RLA, and 5th grade Science, designed to build confidence and mastery through authentic test-style questions.

duckettj

Principal

3/26

Grade 6 Thinking Vault

A comprehensive collection of "Building Thinking Classrooms" (BTC) tasks for Grade 6 Mathematics, Units 5-8. Each unit contains thin-sliced, low-floor high-ceiling tasks designed for collaborative problem-solving on vertical surfaces.

dfredericks

3/17

Math Blueprint Week 1 Booklet (Definitive)

Math Blueprint Spiral

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.

MK

Michell Kisler

Equivalent Expression FormsAlgebraic manipulation techniques for rewriting expressions using distributive, commutative, and associative properties. Builds fluency in factoring, expanding, and verifying equality between different symbolic representations.

3/16

Log Decoder Sequence

A focused sequence on finding the inverse of logarithmic functions using algebraic switching, featuring a high-tech 'Log Decoder' theme.

Cheydon Krysl

Blueprint of Math

4/24

NYS Exam Edge

A comprehensive 12-day test prep series for 7th graders preparing for the New York State (NYS) ELA and Math exams. Each day features targeted practice in key math domains (Number System, Ratios, Expressions) and ELA skills (Grammar, Evidence, Argumentation).

Cheyenne Watkins

Operation Math Mastery

A 4-day intensive reteach unit for 5th-grade math standards, styled as a high-stakes secret agent mission. Students solve task cards to crack codes and 'escape' daily challenges covering decimals, expressions, geometry, and measurement.

JJ

Jessica James

Exponent and Root Mastery

A 4-day intensive tutoring sequence for 8th grade students focusing on Missouri DESE MAP standards for integer exponents, square roots, and cube roots. Each session is designed for 20 minutes of targeted intervention using visual models and structured practice.

Radical Functions Mastery

A sequence exploring radical functions, focusing on solving radical equations through algebraic manipulation and function notation.

MR

Mahuya Roy Chowdhury

3/23

Trapezoid Survey Midsegment Analysis Page

Quadrilateral Coordinate Land

A high-level coordinate geometry sequence where students apply coordinate algebra formulas to identify and verify the properties of quadrilaterals and other polygons on the coordinate plane.

M

mastronardil

3/23

Power Up Exponents

A comprehensive unit on exponential notation and properties, taking students from basic understanding to applying rules in algebraic contexts.

CS

COURTNEY SCHERER

3/16

Algebra Ace Countdown

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.

Penne Reed

3/10

Regents Road Map

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.

laura.clar

3/9

Algebra Ace Countdown

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.

Penne Reed

3/3

Algebra Architect Recovery

A comprehensive grade recovery packet for 9th Grade Algebra 1 students, covering exponent laws, exponential functions, polynomial operations, and factoring techniques.

DG

Dakota Griffith

2/26

Advanced ACT Mastery

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.

ava larumbe

Coordinate Geometry Blueprint

A targeted intervention sequence focused on helping High School students master the application of the distance formula to find perimeter and area in the coordinate plane. This unit uses structured calculation templates and scaffolded practice to support Tier 2 learners.

Radical Rational Mastery

A Tier 2 intervention sequence focused on helping high school students master the conversion and simplification of expressions involving radicals and rational exponents, aligned with Colorado standard HS.N-RN.A.2.

Power Play

A Tier 2 intervention sequence focused on building fluency with integer exponent properties using concrete-to-abstract scaffolding, error analysis, and hands-on sorting activities.

Power Play

A Tier 2 intervention sequence focused on mastering integer exponent rules through pattern discovery, expanded form visualization, and scaffolded practice for Grade 8 students.

Logic Loops

A series of high-level enrichment activities for 6th-grade students to master expressions and equations through logic puzzles and real-world modeling.

KO

Kristin Osgood

2/11

ACT Math Mastery

A comprehensive ACT Math preparation program focusing on essential strategies, high-yield Algebra and Geometry concepts, and realistic practice to boost scores.

ava larumbe

Radical Relationships

A lesson sequence focusing on the algebraic and graphical properties of radical equations, bridging the gap between symbolic manipulation and visual intersection points.

Rational ExponentsRelationship between radical expressions and power notation using fractional exponents. Simplifies complex algebraic expressions by applying exponent properties to rational numbers.

Radical Rational Mastery

A Tier 2 intervention sequence focused on helping high school students master the conversion and simplification of expressions involving radicals and rational exponents, aligned with Colorado standard HS.N-RN.A.2.

ACT Math Mastery

A comprehensive ACT Math preparation program focusing on essential strategies, high-yield Algebra and Geometry concepts, and realistic practice to boost scores.

ava larumbe

Power Root Mastery

A lesson sequence for Algebra 2 focusing on the relationship between rational exponents and radical expressions, including conversion, simplification, and negative exponents.

Rate Radar

A lesson sequence focusing on analyzing and manipulating exponential functions to reveal true growth rates, using real-world financial contexts and exponent rules.

Structure and Logic

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.

Power Play Exponents

A gamified approach to mastering rational exponents through competition, collaboration, and high-stakes simulations. Students move from basic radical conversions to complex multi-variable simplification in a fast-paced 'Power Play' environment.

Analyzing and Graphing Power Functions

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.

Modeling with Rational Exponents

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.

Exponent Engineering

A workshop-style sequence for 10th-grade algebra focusing on the mechanics of simplifying expressions with rational exponents. Students develop fluency in applying exponent properties (product, quotient, power) to fractional exponents through targeted practice and multi-step problem-solving.

Power Patterns

An inquiry-based exploration of rational exponents for 10th-grade algebra students. This sequence moves from pattern recognition with integer exponents to the formalization of radical-exponential conversion, emphasizing conceptual consistency and mathematical logic.

Power and Root Blueprint

A comprehensive unit for 12th-grade algebra focusing on solving equations with rational exponents, investigating extraneous solutions, and visualizing intersections graphically.

Exponents in the Real World

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.

Advanced Algebraic Structure

An advanced, rigorous exploration of rational exponents and radical manipulation for 12th-grade students. This sequence focuses on the technical facility required for calculus, including factoring fractional exponents, handling nested radicals, rationalizing higher-order roots, and solving equations reducible to quadratic forms.

Blueprint of Rational Exponents

This sequence bridges the gap between radical notation and exponential notation, establishing a unified system for algebraic manipulation. Students begin by defining rational exponents through the lens of roots and powers, then systematically apply the laws of exponents to simplify expressions containing fractional powers.

Rational Exponents Blueprint

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.

Power Scaling Dynamics

This sequence explores the practical application of rational exponents and power functions in biology, physics, and finance. Students will progress from evaluating existing models like Kleiber's Law and Kepler's Third Law to constructing their own mathematical models from empirical data.

Rational Exponents Foundation

This sequence establishes the theoretical foundation linking radical notation to rational exponents. Students move from conceptual inquiry to rigorous algebraic application, covering translation, evaluation, domain analysis, and formal justification of exponent properties for rational numbers.

Power Play Equations

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.

Rational Exponents Mastery

An intensive procedural fluency module for undergraduate students focusing on the systematic simplification of algebraic expressions with rational exponents. The sequence progresses from basic operations to advanced factoring techniques required for higher-level calculus and engineering mathematics.

Exponent Power Quest

A gamified unit for 9th Grade Algebra focusing on the mastery of rational exponents. Students engage in relays, tournaments, and 'boss battles' to build speed, accuracy, and confidence in simplifying complex exponential expressions.

Math Mastery Quest

A comprehensive math review sequence designed for students with IEPs, featuring simplified numbers, visual aids, and a gamified arcade theme. Covers Ratios, The Number System, Expressions, Geometry, and Statistics through interactive slides and printable activities.

CS

COURTNEY SCHERER

4/24

Math Quest Review

A comprehensive review sequence for 7th grade math featuring themed stations covering Ratios, Rational Numbers, Algebra, and Geometry through interactive games and puzzles.

Cheyenne Watkins

Decimal Dimensions

A deep dive into the theoretical and practical relationship between fractions and decimals, designed for advanced learners to explore the structure of rational numbers and precision in calculation.

Metro Math Mastery

A comprehensive 3-packet New York State test prep series for 7th grade math, covering all major domains including Ratios, Number Systems, Expressions, Equations, Geometry, and Statistics. Each packet includes vocabulary, fluency, guided practice, and a 15-question mock exam.

Cheyenne Watkins

Blueprint Builders

A middle school math sequence centered on fractions, using an architectural and construction theme. It progresses from 6th-grade foundations to 8th-grade applications of slope and rational numbers.

Number Lab Real Numbers

A 4-day introductory unit on the Real Number System designed for special education classrooms, focusing on identifying rational and irrational numbers, converting repeating decimals, and estimating square roots with high-scaffold supports.

BR

Brandon Ruffin

Unit 6 Equal Groups and Multiplication

A comprehensive Grade 2 math packet focused on skip counting, repeated addition, arrays, and equal groups.

N

nmack

NYS Exam Edge

A comprehensive 12-day test prep series for 7th graders preparing for the New York State (NYS) ELA and Math exams. Each day features targeted practice in key math domains (Number System, Ratios, Expressions) and ELA skills (Grammar, Evidence, Argumentation).

Cheyenne Watkins

Operation Math Mastery

A 4-day intensive reteach unit for 5th-grade math standards, styled as a high-stakes secret agent mission. Students solve task cards to crack codes and 'escape' daily challenges covering decimals, expressions, geometry, and measurement.

JJ

Jessica James

4/7

Exponent and Root Mastery

A 4-day intensive tutoring sequence for 8th grade students focusing on Missouri DESE MAP standards for integer exponents, square roots, and cube roots. Each session is designed for 20 minutes of targeted intervention using visual models and structured practice.

Signed Number Navigator Notes Practice Expanded Unit 1

Math Foundations Reboot

A 10-day intensive review sequence for 8th-grade math, focusing on integer operations, rational numbers, and linear equations for students needing targeted intervention.

WJ

Whitney Jones

Polynomial OperationsAddition, subtraction, and multiplication of algebraic expressions using properties of exponents and distribution. Includes long and synthetic division techniques for simplifying higher-degree functions into standard form.

4/2

Math in Motion

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.

EL

Elsa LaLone

Multiplication Blueprint

A week-long 5th-grade unit focusing on multi-digit multiplication using the distributive property, area models, and partial products. Students progress from concrete base-ten modeling to representational grid drawings and abstract vertical partial products.

C

corteza

3/23

Algebra Ace Countdown

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.

Penne Reed

3/10

Regents Road Map

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.

laura.clar

3/9

Algebra Ace Countdown

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.

Penne Reed

3/3

Algebra Architect Recovery

A comprehensive grade recovery packet for 9th Grade Algebra 1 students, covering exponent laws, exponential functions, polynomial operations, and factoring techniques.

DG

Dakota Griffith

2/26

Galactic Factoring Quest

A Star Wars-themed unit focused on mastering polynomial factoring through GCF and Difference of Squares. Students participate in a 'Holocron Hunt' game to secure galactic knowledge.

JA

Jose Arcellana

2/24

English Language Arts Teacher

Algebra Archive Review

A comprehensive 3-day review sequence for the Algebra I Regents examination, focusing on foundations, systems, and polynomial operations. Each 75-minute lesson provides a balance of guided instruction and independent practice with problems modeled after the NYS Interim Assessment.

AO

Archie Olson

2/24

Algebra Regents Power Prep

A series of five high-stakes review rounds designed to prepare students for the Algebra I NYS Regents exam, focusing on expressions, equations, inequalities, and functions.

Cheyenne Watkins

2/20

Advanced ACT Mastery

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.

ava larumbe

Quadratic Blueprint

A targeted Tier 2 intervention sequence for high school students struggling with quadratic expressions and equations. This unit focuses on building procedural fluency through scaffolded instruction, visual models, and step-by-step factoring and solving techniques aligned with Colorado Standard 2.

2/13

Conic Blueprints Unit

A targeted intervention sequence for high school geometry students to master deriving equations for ellipses and hyperbolas using their geometric definitions.

ACT Math Mastery

A comprehensive ACT Math preparation program focusing on essential strategies, high-yield Algebra and Geometry concepts, and realistic practice to boost scores.

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.

Shape of Algebra

This sequence uses geometric area models (algebra tiles and the box method) to provide a concrete foundation for polynomial arithmetic and factoring, specifically designed for students needing academic support.

Combinatorial Architectures

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.

Exponent Blueprint

A high-school level algebra sequence focusing on the procedural mastery of rational exponents. Students learn to apply exponent laws to fractional powers, handle negative exponents, and convert between radical and exponential forms through a series of workshops and skill-building activities.

Circle Connections

A targeted Tier 2 intervention for High School Geometry focusing on the derivation of the circle equation and completing the square. Includes scaffolded student worksheets and teacher facilitation guides designed for struggling learners.

Array Architects

A 12-lesson Tier 2 intervention sequence for third-grade students focusing on 3.OA.B standards. This sequence uses All Learners Network's High Leverage Concepts and Illustrative Mathematics methods to build conceptual understanding of multiplication properties and the relationship between multiplication and division.

dfredericks

2/9

ACT Math Mastery

A comprehensive ACT Math preparation program focusing on essential strategies, high-yield Algebra and Geometry concepts, and realistic practice to boost scores.

ava larumbe

Pattern Detectives

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.

Conjugate Connection

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.

Modern Math for Families

A professional development sequence designed to bridge the gap between traditional and modern math instruction for parents and guardians. This sequence focuses on visual strategies like prime factorization and factor trees to build deep conceptual understanding and algebraic thinking.

Visualizing Mathematical Logic and Procedures

A specialized math sequence for 11th-grade students focusing on visual strategies like flowcharts and decision trees to support executive functioning and procedural memory. Students transition from following provided visual guides to designing their own logical maps for complex algebraic operations.

Sketching Solutions

A visual-first approach to algebra for 7th-grade students needing academic support, focusing on sketching equations using balance scales and area models to reduce cognitive load during problem-solving.

Combinatorial Architectures

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.

Advanced Algebraic Structure

An advanced, rigorous exploration of rational exponents and radical manipulation for 12th-grade students. This sequence focuses on the technical facility required for calculus, including factoring fractional exponents, handling nested radicals, rationalizing higher-order roots, and solving equations reducible to quadratic forms.

Summation Mastery

This sequence transitions students from listing terms to aggregating them, focusing on the rigorous use of summation notation. Through a workshop approach, learners practice manipulating sigma notation, applying properties of sums, and deriving formulas for arithmetic series.

Series Blueprints

This advanced sequence bridges series to function approximation, introducing Power Series and Taylor Polynomials. Students discover how polynomials can mimic complex curves like sine and cosine, moving from simple tangent lines to higher-order polynomials while investigating convergence and approximation error.

Quadratic Secrets Revealed

A targeted Tier 2 intervention sequence focused on helping high school students master quadratic transformations through factoring and completing the square using visual algebra tile models.

ACT Math Mastery

A comprehensive ACT Math preparation program focusing on essential strategies, high-yield Algebra and Geometry concepts, and realistic practice to boost scores.

ava larumbe

Polynomial Powers

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.

Visualizing Mathematical Logic and Procedures

A specialized math sequence for 11th-grade students focusing on visual strategies like flowcharts and decision trees to support executive functioning and procedural memory. Students transition from following provided visual guides to designing their own logical maps for complex algebraic operations.

Recursive Roots

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.

Series Solutions and Special Functions

A comprehensive graduate-level exploration of series solutions for differential equations with variable coefficients, focusing on power series, the Method of Frobenius, and the properties of Bessel and Legendre functions within the framework of Sturm-Liouville theory.

Complex Roots and Polynomial Equations

This skill-building sequence contextualizes complex numbers as necessary tools for solving polynomial equations. Students explore the Fundamental Theorem of Algebra, move from discriminants to synthetic division with complex numbers, and learn to find all roots of high-degree polynomials.

Geometric Perspectives on Complex Operations

A comprehensive exploration of complex numbers through a geometric lens, bridging algebraic arithmetic with vector transformations and polynomial theory for undergraduate students.

Imaginary Power Cycle

A 10th-grade algebra sequence exploring the cyclical nature of powers of the imaginary unit. Students progress from discovering the 4-step cycle to developing algorithms for large exponents, exploring negative powers, and evaluating polynomials with imaginary inputs.

Rational Analysis and Asymptotes

This sequence explores the behavior of rational functions, focusing on limits, asymptotes, and discontinuities. Students learn to distinguish between removable and non-removable discontinuities, analyze end behavior at infinity, perform polynomial division for slant asymptotes, and synthesize these skills to sketch complex functions.

Roots of Unity and Geometric Applications

An undergraduate-level exploration of the roots of unity, connecting algebraic solutions of polynomial equations to geometric symmetry in the complex plane and the fractal nature of complex iteration.

Polynomial Factorization and Conjugate Pairs

This sequence explores the deep connection between polynomials and complex numbers, focusing on the Fundamental Theorem of Algebra, the Conjugate Root Theorem, and advanced factorization techniques over the complex field. Students transition from real-only factorization to complete linear factorization, mastering the technical skills of complex synthetic division and sign-change analysis.

Quadratic Equations and Complex Roots

This sequence bridges the gap between graphical representations of parabolas and algebraic solutions. Students explore why some quadratic equations lack real x-intercepts and learn to identify and calculate complex roots using the discriminant, square root method, completing the square, and the quadratic formula.

Roots Revealed

This theoretical sequence explores the Fundamental Theorem of Algebra (FTA). Students move beyond quadratics to higher-degree polynomials, learning that the degree determines the total count of roots when complex numbers are included. Through inquiry and case studies, students will distinguish between real and non-real roots and understand the concept of multiplicity.

Polynomial Blueprints

This sequence explores the relationship between complex roots and polynomial coefficients. Students will master the Complex Conjugate Theorem to reverse-engineer polynomial functions from their solutions, progressing from simple quadratics to higher-degree 'mystery' polynomials.

Rational ExpressionsSimplification, arithmetic operations, and equation-solving involving polynomial fractions. Targets identification of domain restrictions and vertical asymptotes.

Linear Logic Blueprints

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.

david.marques

Decimal Dimensions

A deep dive into the theoretical and practical relationship between fractions and decimals, designed for advanced learners to explore the structure of rational numbers and precision in calculation.

Algebra Architect Recovery

A comprehensive grade recovery packet for 9th Grade Algebra 1 students, covering exponent laws, exponential functions, polynomial operations, and factoring techniques.

DG

Dakota Griffith

2/26

ACT Math Mastery

A comprehensive ACT Math preparation program focusing on essential strategies, high-yield Algebra and Geometry concepts, and realistic practice to boost scores.

ava larumbe

Domain Restriction Diagnostics

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.

Fraction Fortress

A series of lessons focused on mastering algebraic and numerical fractions through visual strategies and structural simplification.

Pre-Calculus Foundations

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.

Conjugate Connection

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.

Fraction Division Blueprint

A specialized sequence for 6th-grade academic support focused on visual and concrete understanding of fraction division. Students use fraction towers and pattern blocks to move from the concept of 'how many fit' to the standard algorithm, with a heavy emphasis on interpreting remainders.

Combinatorial Architectures

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.

Summation Mastery

This sequence transitions students from listing terms to aggregating them, focusing on the rigorous use of summation notation. Through a workshop approach, learners practice manipulating sigma notation, applying properties of sums, and deriving formulas for arithmetic series.

Summation Blueprints

A comprehensive unit for 12th-grade calculus students exploring the power of summation. This sequence covers Sigma notation, arithmetic and geometric series formulas, financial applications, and the transition to infinite sums through telescoping series and Zeno's Paradox.

Non Linear Constraints

A comprehensive unit for undergraduate algebra students exploring non-linear equations, specifically rational and radical forms, with a focus on domain constraints, extraneous solutions, and real-world modeling in economics and physics.

Rational Expressions Mastery

A comprehensive 5-lesson unit on rational expressions, covering domain restrictions, simplification, arithmetic operations, and solving equations with a focus on extraneous solutions.

Complex Fraction Blueprint

A comprehensive sequence for 9th-grade students transitioning from arithmetic division to algebraic rational expressions using complex fractions. Students explore structural identity, two primary simplification methods, and the introduction of variables.

Curve Sketching Mastery

A comprehensive 11th-grade calculus sequence that synthesizes domain, intercepts, symmetry, asymptotes, derivatives, and concavity into a systematic curve sketching algorithm. Students progress from procedural mastery to critical analysis of technological limitations and a final synthesis project.

Rational Analysis and Asymptotes

This sequence explores the behavior of rational functions, focusing on limits, asymptotes, and discontinuities. Students learn to distinguish between removable and non-removable discontinuities, analyze end behavior at infinity, perform polynomial division for slant asymptotes, and synthesize these skills to sketch complex functions.

Blueprint for Integration

A comprehensive 11th-grade calculus unit focusing on Partial Fraction Decomposition for integration. The sequence moves from pure algebraic skill-building to complex integration techniques and real-world logistic growth modeling.

Infinity and Growth Calculus

A 12th-grade calculus unit focusing on advanced integration techniques, including improper integrals, partial fractions, and trigonometric substitution, applied to real-world modeling scenarios like population growth and physics.

Model Interpreters

This sequence connects algebraic structure to real-world modeling. Students analyze formulas from physics, finance, biology, and business to understand how specific terms and coefficients dictate real-world behaviors like growth rates, initial conditions, and maximums.

Complex Number OperationsArithmetic operations including addition, subtraction, multiplication, and division of imaginary numbers. Builds skills in simplifying expressions using the imaginary unit, conjugates, and powers of i.

Advanced ACT Mastery

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.

ava larumbe

Complex Circuits

A Tier 2 intervention sequence focused on mastering operations with complex numbers, specifically designed for small group instruction with visual scaffolding.

Complex Circuits Sequence

A targeted intervention sequence for Tier 2 high school students focusing on mastering arithmetic operations with complex numbers, emphasizing visual scaffolding and color-coded procedures.

Imaginary Intel

A targeted intervention sequence focusing on performing operations with complex numbers using fundamental algebraic properties and the identity i² = -1.

ACT Math Mastery

A comprehensive ACT Math preparation program focusing on essential strategies, high-yield Algebra and Geometry concepts, and realistic practice to boost scores.

ava larumbe

Conjugate Connection

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.

Iterative Patterns and the Mandelbrot Set

A 12th-grade mathematics sequence exploring complex number operations through the lens of fractal geometry. Students learn to iterate complex functions, calculate orbits, and define the boundaries of the Mandelbrot and Julia sets.

Complex Roots and Polynomial Equations

This skill-building sequence contextualizes complex numbers as necessary tools for solving polynomial equations. Students explore the Fundamental Theorem of Algebra, move from discriminants to synthetic division with complex numbers, and learn to find all roots of high-degree polynomials.

Algebraic Mastery of Complex Arithmetic

A mastery-based sequence on the arithmetic of complex numbers, focusing on powers of i, standard operations, and rationalizing denominators using conjugates. Students will develop procedural fluency and understand the algebraic structure of the complex number system.

Vector Voyages

A 12th-grade inquiry into complex numbers through the lens of geometry and vector operations. Students transition from algebraic rules to visual intuition, exploring rotations, dilations, and translations in the complex plane.

Geometric Perspectives on Complex Operations

A comprehensive exploration of complex numbers through a geometric lens, bridging algebraic arithmetic with vector transformations and polynomial theory for undergraduate students.

Complex Multiplication Division and Conjugates

A comprehensive undergraduate-level sequence covering complex number multiplication, the role of the complex conjugate, division through rationalization, and the properties of the modulus. Students move from basic arithmetic to simplifying complex rational expressions used in engineering and physics.

Complex Number Fundamentals

This sequence introduces undergraduate students to the set of complex numbers, covering the imaginary unit, powers of i, and linear arithmetic operations within the complex field. Students will explore the historical necessity of complex numbers and verify their properties as a mathematical field.

Phantom Numbers Cycle

A game-based exploration of the imaginary unit $i$, focusing on its cyclic powers and the simplification of radicals with negative radicands. Students move from discovery to mastery through tournaments and escape-room style puzzles.

Fractal Frontiers

A project-based sequence for 11th grade algebra connecting complex number operations to visual geometry and the generation of the Mandelbrot set. Students transition from seeing complex numbers as points to seeing them as vectors, rotations, and eventually the building blocks of fractal art.

Conjugate Chemistry

A 5-lesson sequence for 11th-grade students focusing on the properties of complex conjugates and their application in dividing complex numbers. Students progress from basic conjugate multiplication to mastering division with binomial denominators and reciprocals.

Blueprint for Imaginary Math

A comprehensive workshop-style unit for 11th Grade Algebra students focusing on adding, subtracting, and multiplying complex numbers. Students learn to manipulate complex expressions by treating 'i' as a variable while applying the fundamental rule that i² = -1.

Blueprint for the Imaginary

This inquiry-based sequence introduces 11th-grade students to complex numbers, starting from the limitations of the real number system to the visualization of complex numbers on the Argand plane. Students explore the imaginary unit 'i', standard form (a + bi), and the calculation of magnitude (modulus).

Iterative Infinity

A project-based algebra sequence exploring complex number arithmetic through iterative processes and fractal geometry. Students transition from basic recursion to mapping orbits in the complex plane, culminating in a visual project exploring the Mandelbrot set.

Complex Numbers in PolynomialsImaginary units, complex zeros, and the Fundamental Theorem of Algebra. Connects polynomial degree to the total number of roots and applies the complex conjugate root theorem.

Advanced ACT Mastery

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.

ava larumbe

ACT Math Mastery

A comprehensive ACT Math preparation program focusing on essential strategies, high-yield Algebra and Geometry concepts, and realistic practice to boost scores.

A 10th-grade algebra sequence exploring the cyclical nature of powers of the imaginary unit. Students progress from discovering the 4-step cycle to developing algorithms for large exponents, exploring negative powers, and evaluating polynomials with imaginary inputs.

Root Detective Sequence

This sequence guides students through the process of solving high-degree polynomials to find all roots, including complex zeros. Students master synthetic division, the Rational Root Theorem, and polynomial 'depression' to systematically reduce functions until they can apply the Quadratic Formula to find complex solutions and express the results in full linear factorization.

Complex Numbers on PlaneGeometric representation of complex numbers on the Argand plane using real and imaginary axes. Connects algebraic operations to coordinate geometry, polar forms, and spatial transformations like rotations and dilations.

Advanced ACT Mastery

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.

ava larumbe

ACT Math Mastery

A comprehensive ACT Math preparation program focusing on essential strategies, high-yield Algebra and Geometry concepts, and realistic practice to boost scores.

A project-based algebra sequence exploring complex number arithmetic through iterative processes and fractal geometry. Students transition from basic recursion to mapping orbits in the complex plane, culminating in a visual project exploring the Mandelbrot set.

The Conjugate Mirror

A comprehensive sequence for 10th-grade students on complex number division and rationalizing denominators. This sequence covers defining conjugates, the sum of squares property, the division algorithm, complex reciprocals, and verification techniques through a mastery-based approach.

Real and Imaginary Blueprints Answer Key

Complex Number Architect

A comprehensive sequence for 10th-grade students covering addition, subtraction, and multiplication of complex numbers. Students learn to treat 'i' as a variable while applying the identity $i^2 = -1$ to simplify expressions.

Imaginary Dimensions Sequence

This sequence introduces students to the imaginary unit i through an inquiry-based approach, moving from the limitations of the real number system to the visualization of the complex plane and calculation of the modulus. Students transition from solving unsolvable quadratics to representing numbers in a 2D coordinate system.

Roots of Unity and Geometric Applications

An undergraduate-level exploration of the roots of unity, connecting algebraic solutions of polynomial equations to geometric symmetry in the complex plane and the fractal nature of complex iteration.

Complex Number Arithmetic and Representation

A foundational sequence for undergraduate students exploring the arithmetic, geometric, and algebraic properties of complex numbers, focusing on the imaginary unit, standard form, operations, and the complex plane.

Imaginary Realms

This sequence introduces 11th-grade students to complex numbers, covering the definition of 'i', powers of i, arithmetic operations, and division using conjugates. It provides the foundational skills needed for solving higher-degree polynomials.

Complex Cartography

This 12th-grade mathematics sequence explores the geometric interpretation of complex numbers on the Argand plane. Students will master plotting, calculating modulus, visualizing vector arithmetic, and discovering the elegant symmetry of roots of unity, culminating in an exploration of complex iterations and fractals.

Complex Plane Blueprints

This sequence explores geometric transformations using the complex plane as a primary framework. Students will learn how complex arithmetic maps to translations, rotations, dilations, and reflections, culminating in an investigation of non-linear mappings like circle inversion and Möbius transformations.

Complex Similarity Blueprint

This undergraduate sequence bridges classical geometry and modern algebra by exploring similarity through the lens of complex numbers and linear algebra. Students will master spiral similarities, matrix representations of conformal mappings, and iterative fractal generation.