Algebra

A set of interactive study resources designed to help students review key domains for the NYS Math Test through active creation and synthesis of information.

A comprehensive review lesson designed to prepare students for an upcoming Algebra quiz. It covers vertical lines, systems by elimination, factoring, vertex form, rate of change, and linear equations.

A focused lesson on factoring trinomials of the form x^2 + bx + c, featuring step-by-step instructions, worked examples, and practice problems.

A fast-paced review lesson on simplifying algebraic expressions using the distributive property and combining like terms, featuring a tiered 'Level Up' activity for differentiation.

A review-focused lesson for 8th graders on simplifying algebraic expressions using the distributive property and combining like terms, featuring tiered practice and discussion prompts.

A lesson focused on adding and subtracting polynomials with a specific emphasis on the distributive property when handling subtraction and negative signs. Students will practice horizontal and vertical methods to combine like terms.

A scaffolded lesson on factoring quadratic expressions using GCF, Reverse FOIL, and the AC Method (Grouping), designed specifically for Tier 3 intervention students with visual aids and step-by-step checklists.

A 20-minute lesson on solving multi-step equations, including those with variables on both sides. Focuses on the logical sequence of operations to isolate a variable.

Using area models to recognize and explain the difference between rational perfect squares and irrational non-perfect squares.

Solving equations in the form x squared = p and x cubed = p, where p is a positive rational number.

Evaluating square roots of perfect squares up to 625 and cube roots of perfect cubes up to 1000 using mental math and patterns.

Focuses on applying properties of integer exponents to generate equivalent numerical expressions, including expressions with multiple operations.

A 90-minute lesson where students master the art of transforming linear equations from standard and point-slope form into slope-intercept form through an alchemy-themed 'lab' experience.

A comprehensive review lesson on polynomial operations including addition, subtraction, box-method multiplication, and division by monomials. Students work in teams to solve 15 challenge problems styled as blueprint calculations.

A high-intensity math practice session designed to build speed and accuracy for the calculator-inactive portion of the NC EOG. Students tackle 10 multi-grade level questions under a strict 15-minute limit followed by a metacognitive reflection on their pacing strategies.

A comprehensive review of factoring linear expressions using Greatest Common Factors (GCF), including standard procedures, positive/negative factoring, and real-world applications.

A visual-first approach to simplifying algebraic expressions using flowcharts and distributive mapping.

A comprehensive lesson on the laws of exponents where students discover rules through patterns and apply them to simplify numerical expressions. Aligned to NCSCOS 8.EE.1.

A comprehensive lesson on equivalent expressions and the distributive property, using area models and algebraic manipulation to build foundation for 6th-grade math standards.

A comprehensive review of Algebra 1 Quadratic functions designed as a Jeopardy-style task card game to prepare students for the STAAR exam. Topics include graph attributes, domain and range, factoring, and finding solutions.

A set of interactive study resources designed to help students review key domains for the NYS Math Test through active creation and synthesis of information.

A comprehensive practice module for high school Algebra 1 students focusing on slope, point-slope form, and slope-intercept form. Designed with scaffolding and visual aids specifically for special education support.

Explores 8th-grade concepts like slope as a fraction (rise over run) and identifying rational vs. irrational numbers in structural engineering.

Covers 7th-grade topics including complex fractions, unit rates, and scaling designs for construction projects.

Focuses on 6th-grade fraction operations (addition, subtraction, multiplication, division) through the lens of foundational construction measurements.

In this lesson, students will learn to describe the relationship between two quantities by analyzing graphs, focusing on increasing, decreasing, and constant intervals, as well as sketching graphs from stories.

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.

An exploration of geometric growth and the power of incremental habits for grades 7-12, combining mathematical modeling with behavioral science.

Master the art of writing linear equations from proportional tables using the architect's blueprint for constant of proportionality. Students will learn to identify the unit rate and construct y=kx equations with precision.

A comprehensive 8th-grade TEKS mathematics review focusing on Proportionality, Algebra, Expressions, Equations, Geometry, Measurement, and Data Analysis. This lesson includes a diagnostic quiz and a supporting presentation for classroom review.

A practice-focused lesson where students identify independent and dependent variables in relatable, modern scenarios like sports, snacks, and technology.

This prep lesson bridges previously mastered linear equation concepts with newer topics like scatter plots, correlation, and linear inequalities. Students will synthesize modeling techniques and algebraic conversions to prepare for the cumulative unit test.

This lesson provides a comprehensive review and assessment of linear equations, covering function identification, standard form conversions, and the properties of parallel and perpendicular lines. Students will engage in guided practice, independent modeling, and summative evaluation to master linear relationships.

Students practice translating real-world scenarios into linear equations, tables, and graphs using positive whole numbers. This lesson reinforces the relationship between initial fees (y-intercept) and rates of change (slope).

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

A fast-paced exploration of exponential growth and decay through abstract equations and real-world financial scenarios. Students practice graphing curves and calculating data points to visualize rapid change.

A comprehensive review of Consumer Math concepts including one and two-variable equations, written reasoning, and trend identification through tables. Includes a full 50-minute review handout and a 15-question multiple-choice quiz with an open-ended performance task.

A cumulative review challenge where students compare multiple representations to solve 'boss level' problems.

Focuses on translating between equations (y=mx) and other representations to compare proportional relationships.

Focuses on comparing two proportional relationships using graphs and tables to determine which has a greater unit rate.

A comprehensive review lesson designed to prepare students for an upcoming Algebra quiz. It covers vertical lines, systems by elimination, factoring, vertex form, rate of change, and linear equations.

A focused math mini-lesson designed for 8th-grade special education students to review substitution across three levels: expressions, 2-step equations, and systems of equations. The lesson uses a 'Code Breaker' theme to make the abstract concepts more concrete and engaging.

A comprehensive series of activities where students learn to identify, model, and solve systems of linear equations to find the 'better deal' in real-world scenarios.

A comprehensive test prep lesson for the Grade 8 Arkansas ATLAS assessment, focusing on high-stakes topics like functions, linear equations, systems, geometry, and scientific notation. Includes a visual presentation, a practice test with ATLAS-style items, and a teacher guide.

The first part of a comprehensive Algebra I EOC prep series focusing on linear foundations, graphing, and systems of equations, aligned to Arkansas ATLAS standards. Students practice through real-world scenarios and test-style questions designed for 8th and 9th graders.

Synthesizes all methods to solve real-world problems and identifies the most efficient method through inspection.

Covers the elimination method, including cases that require multiplying one or both equations to create matching coefficients.

Teaches the substitution method for solving systems of equations, focusing on isolating variables and plugging them into the second equation.

Focuses on graphing systems of equations and identifying the three types of solutions: one solution, no solution, and infinitely many solutions.

A lesson focused on solving systems of two linear equations using the substitution method, specifically highlighting the distribution of negative values and handling negative results.

A focused quiz assessing student proficiency in solving systems of linear equations using both substitution and elimination methods.

A straightforward lesson on solving systems of linear equations using the two primary algebraic methods: substitution and elimination. Designed for 9th-grade algebra students.

A focused lesson on solving systems of linear equations using the substitution method, featuring drill practice and a self-checking maze activity for freshamn algebra students.

A scaffolded practice set for 8th-grade linear equations and systems, focusing on translation, solving, and verification of EOG-aligned problems.

A comprehensive guide to graphing linear equations, including plotting points, finding intercepts and slope, and solving systems of equations. Students will master the coordinate plane through technical drawing and architectural-themed challenges.

A comprehensive Grade 8 lesson on solving systems of linear equations using graphing, substitution, and elimination, featuring real-world applications and method selection strategies for the NC EOG.

A comprehensive lesson on solving systems of linear equations graphically and algebraically, designed for Grade 8 NCSCOS 8.EE.8. Covers graphing, substitution, and elimination with real-world applications.

This lesson covers the fundamentals of algebraic modeling in consumer contexts, focusing on translating real-world financial scenarios into equations and tables. Students will practice identifying variables, constants, and rates to make informed financial decisions.

A concluding lesson focused on reinforcing substitution techniques through comprehensive review and multi-type homework practice.

A lesson exploring special cases in systems of equations: no solution (parallel lines) and infinite solutions (identical lines).

A comprehensive lesson focused on NC.6.EE.1 and NC.6.EE.2, specifically designed for students with IEPs. The lesson uses a 'Blueprint Builders' theme to provide visual structure for exponents and algebraic expressions, breaking down complex concepts into manageable steps with heavy scaffolding for calculations.

Using area models to recognize and explain the difference between rational perfect squares and irrational non-perfect squares.

Solving equations in the form x squared = p and x cubed = p, where p is a positive rational number.

Evaluating square roots of perfect squares up to 625 and cube roots of perfect cubes up to 1000 using mental math and patterns.

Focuses on applying properties of integer exponents to generate equivalent numerical expressions, including expressions with multiple operations.

A comprehensive lesson on the laws of exponents where students discover rules through patterns and apply them to simplify numerical expressions. Aligned to NCSCOS 8.EE.1.

A comprehensive lesson on simplifying numeric expressions with rational exponents, transitioning from basic radical conversions to complex multi-step simplifications. This lesson aligns with Texas Algebra II standards for radical and exponential equivalency.

A focused lesson on mastering rational exponents, covering conversion between forms, simplification using the Power of a Power rule, handling negative exponents, and solving radical equations.

A comprehensive lesson on adding and multiplying numerical radicals using a record-shop 'Remix' theme. Includes guided notes and a practice worksheet focusing on horizontal operations.

Students will learn to simplify square, cube, and fourth roots using the prime factorization ladder method (repeated division). The lesson covers identifying perfect power factors and handling coefficients in radicals with radicands up to 500.

A comprehensive guide to mastering the rules of exponents and radicals, featuring a high-visibility anchor chart and practice materials.

A comprehensive guide to mastering exponent laws, from basic products to complex fractional roots. Includes a detailed reference sheet and scaffolded practice problems.

A comprehensive look at the powers of 10, scientific notation, and comparing the scale of objects from the microscopic to the cosmic. Students will learn to visualize and calculate magnitude differences.

A lesson on multiplying radical expressions focusing on square roots and cube roots with numerical radicands. Students will learn the product property of radicals and apply it to simplify expressions.

A comprehensive guide to mastering exponent rules, including product, quotient, power, zero, negative, and fractional (rational) exponents through technical organizers and tiered practice.

A lesson focused on identifying and correcting common misconceptions when applying exponent rules, including product, quotient, power, negative, and zero exponent rules.

A comprehensive Algebra 1 lesson focusing on discovering and applying the product, quotient, power, and zero exponent rules through a pattern-seeking productive struggle activity.

An introductory lesson on exponents where students identify parts of an exponential expression, convert repeated multiplication to power form, and calculate basic values.

An introduction to exponents focusing on the relationship between base and power, evaluating basic expressions, and mastering the product and quotient rules.

A comprehensive lesson on multiplying radical expressions using the distributive property, featuring a construction-themed 'Radical Remodel' aesthetic. Students will master monomial and binomial multiplication involving square roots.

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.

An exploration of geometric growth and the power of incremental habits for grades 7-12, combining mathematical modeling with behavioral science.

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

A fast-paced exploration of exponential growth and decay through abstract equations and real-world financial scenarios. Students practice graphing curves and calculating data points to visualize rapid change.

Introduces strategies for balancing and solving one-, two-, and multi-step linear equations using inverse operations.

Focuses on mastery of integer operations, absolute value, and rational number properties through visual number line navigation.

A comprehensive Grade 8 math lesson on functions, focusing on defining, evaluating, and comparing different representations through an industrial 'Function Factory' theme. Students explore the concept of one-to-one mapping, rate of change, and initial value in real-world contexts.

This lesson covers the fundamentals of algebraic modeling in consumer contexts, focusing on translating real-world financial scenarios into equations and tables. Students will practice identifying variables, constants, and rates to make informed financial decisions.

A high-stakes review of multi-step Start-Change-End word problems featuring unit conversions. Students use the MOLE strategy to navigate complex real-world scenarios in a mission-control themed environment.

A comprehensive Grade 8 Mathematics lesson focused on TEKS Reporting Category 3, covering the Pythagorean theorem and geometric transformations through technical 'blueprint' exploration and STAAR-aligned practice.

A comprehensive look at the powers of 10, scientific notation, and comparing the scale of objects from the microscopic to the cosmic. Students will learn to visualize and calculate magnitude differences.

An alternate version of the Trapezoid Territory mission featuring a larger plot of land and new coordinate data. Students continue to apply coordinate geometry formulas for survey verification.

The opening mission for the Trapezoid Territory unit. Students plot the primary boundary coordinates on a 2D plane to visualize the land reserve.

A lesson focused on calculating wave properties (frequency and wavelength) using the constant speed formula in various media.

Une séance d'exercices différenciés sur la proportionnalité et les échelles (données graphiquement) pour trois niveaux de difficulté.

Une leçon complète sur les bases des fonctions linéaires et affines, incluant des rappels de cours et des exercices pratiques de calcul et de lecture graphique.

A comprehensive assessment and review of order of operations, exponent properties, and scientific notation, designed for middle or high school math students.

Comprehensive review of high-frequency question types and unit conversions.

Focus on interpreting box plots, mean/standard deviation, and linear regression with correlation coefficients.

Focus on solving systems of equations algebraically and graphing systems of linear inequalities.

A comprehensive review of angle relationships and triangle properties, featuring guided scaffolds and visual equation solving. Students will master identifying angles, solving for unknowns, and applying triangle theorems.

A focused mini-lesson on identifying, calculating, and analyzing complementary and supplementary angles using color-coded visual supports and real-world architect-themed scenarios.

A comprehensive review lesson designed to prepare students for an upcoming Algebra quiz. It covers vertical lines, systems by elimination, factoring, vertex form, rate of change, and linear equations.

A lesson focused on solving one-step equations using tape diagrams as a visual strategy to represent relationships between numbers and variables across all four operations.

A comprehensive practice module for high school Algebra 1 students focusing on slope, point-slope form, and slope-intercept form. Designed with scaffolding and visual aids specifically for special education support.

A targeted assessment lesson focusing on applying one-step multiplication and division equations to solve real-world problems.

A focused lesson on solving one-step equations using inverse operations with addition, subtraction, multiplication, and division. Students will apply their skills to solve a riddle, reinforcing the concept of isolating variables.

Final mission debrief including a comprehensive review and a summative assessment of quadratic mastery.

Applying quadratic models to real-world projectile motion, calculating maximum height, flight time, and landing coordinates.

Using the Quadratic Formula and Discriminant as a universal system recovery tool to solve any quadratic equation.

Exploring how transformations affect the flight path of a parabola and learning to graph from vertex and standard forms.

Mastering the art of factoring trinomials and using the Zero Product Property to find the 'launch codes' (roots) of quadratic equations.

A comprehensive lesson on solving one-step addition and multiplication equations using visual models like balance scales, tape diagrams, and algebra tiles, specifically designed for 6th-grade students.

A comprehensive lesson on solving one-step equations involving non-negative rational numbers, featuring a secret agent tactical theme. Includes guided notes, extensive practice, and an EOG-style assessment.

A focused lesson on solving one-step addition and subtraction equations using a variety of number types including whole numbers, decimals, and fractions.

A foundational lesson on solving one-step equations using inverse operations, featuring a blueprint-inspired design to help students 'build' their algebraic skills.

A focused math mini-lesson designed for 8th-grade special education students to review substitution across three levels: expressions, 2-step equations, and systems of equations. The lesson uses a 'Code Breaker' theme to make the abstract concepts more concrete and engaging.

A lesson introducing one-step algebraic equations through the conceptual lens of a balance scale, focusing on the principle of keeping both sides equal.

A comprehensive 8th-grade TEKS mathematics review focusing on Proportionality, Algebra, Expressions, Equations, Geometry, Measurement, and Data Analysis. This lesson includes a diagnostic quiz and a supporting presentation for classroom review.

A practice-focused lesson where students identify independent and dependent variables in relatable, modern scenarios like sports, snacks, and technology.

A comprehensive review of angle relationships and triangle properties, featuring guided scaffolds and visual equation solving. Students will master identifying angles, solving for unknowns, and applying triangle theorems.

A comprehensive practice module for high school Algebra 1 students focusing on slope, point-slope form, and slope-intercept form. Designed with scaffolding and visual aids specifically for special education support.

A targeted assessment lesson focusing on applying one-step multiplication and division equations to solve real-world problems.

Explores 8th-grade concepts like slope as a fraction (rise over run) and identifying rational vs. irrational numbers in structural engineering.

Covers 7th-grade topics including complex fractions, unit rates, and scaling designs for construction projects.

Focuses on 6th-grade fraction operations (addition, subtraction, multiplication, division) through the lens of foundational construction measurements.

Exploring compound inequalities (AND/OR), temperature ranges, and service cost comparisons.

Introduction to one-step inequalities, graphing on number lines, and solving speed and distance limit word problems.

Final mission debrief including a comprehensive review and a summative assessment of quadratic mastery.

Applying quadratic models to real-world projectile motion, calculating maximum height, flight time, and landing coordinates.

Using the Quadratic Formula and Discriminant as a universal system recovery tool to solve any quadratic equation.

Exploring how transformations affect the flight path of a parabola and learning to graph from vertex and standard forms.