Functions

Fixed Slide 6 where the visualization of two paired triangular numbers forming a rectangle was missing. Replaced the previous layout with explicit flex rows to ensure the dots render correctly and clearly show how $T_4$ and its twin create a $4 \times 5$ rectangle. Label positioning and container sizing were also refined for better clarity. Adjusted Slide 4 to fill vertical space more effectively.

A print-optimized, one-page formula sheet for linear equations. Features reduced font sizes and a minimalist white-background design for high legibility and low ink usage. Includes slope formulas, all linear forms with examples, sign flip warnings, and step-by-step strategies.

A refined comprehensive two-page cheat sheet for Algebra 1 standard A.3.B. Page 1 covers graphical and tabular foundations, while Page 2 covers Desmos regression hacks, context clues, and HOY VUX mnemonics, ensuring a clean and clear layout across two distinct pages.

Correction ultra-pédagogique et méthodologique du Sujet Zéro du Brevet (DNB) de Mathématiques, combinant rédaction type examen, conseils de prof, pièges classiques et astuces pour réussir le jour J. Version optimisée pour éviter tout débordement de page.

A comprehensive, formatted reference list of all Algebra 1 Texas Essential Knowledge and Skills (TEKS) organized by standard strands for teacher use. Includes Process Standards.

A high-contrast anchor chart comparing linear and exponential functions through annotated tables, equations, and graphs. Optimized for single-page printing as a wall poster. Updated equations to lowercase variables. Corrected graph y-intercepts to show y=5 at x=0 for both functions by using integrated SVG axes. Refined visual clarity for poster use.

A comprehensive, formatted reference list of all Algebra 1 Texas Essential Knowledge and Skills (TEKS) organized by standard strands for teacher use. Includes Process Standards.

A high-intensity, 120-minute math simulation. Students act as lead consultants, completing a high-speed skill warmup before selecting a professional sector (Music, Urban Planning, Rocket Science, or Sports Analytics) to solve a series of complex work orders.

A high-intensity, 120-minute math simulation. Students act as lead consultants, completing a high-speed skill warmup before selecting a professional sector (Music, Urban Planning, Rocket Science, or Sports Analytics) to solve a series of complex work orders.

A comprehensive review suite for the New York State Mathematics Regents exams, including Algebra 1, Geometry, and Algebra 2, featuring mastery blueprints, calculator strategies, and exam-taking tips.

A comprehensive 10-week preparation sequence designed to get students ready for the Algebra I Regents exam by May 15th, featuring bi-weekly 30-minute practice sessions and visual anchor charts.

A 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 comprehensive summer bridge workbook for rising 8th graders transitioning to Algebra 1. Contains review of prerequisite topics, advanced pre-algebra skills, real-world application, and an Algebra Escape Challenge.

A comprehensive 7-week NYS Math Assessment preparation sequence for 8th grade, covering major clusters including algebra, functions, geometry, and statistics.

A 4-week project where students act as Space Architects, using coordinate planes, geometry, and numerical patterns to design a futuristic space station and present their plans.

A 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.

An inquiry-based exploration of additive vs. multiplicative growth, moving from a classic penny-doubling dilemma to formal identification of linear and exponential functions using tables and graphs.

This advanced sequence introduces powerful tools for analyzing series with factorials and powers, leading to the concept of power series. Students master the Ratio and Root tests, explore absolute versus conditional convergence, and conclude by connecting series to functions through Taylor polynomials.

A high school Tier 2 intervention unit focused on comparing linear, quadratic, and exponential growth rates using tables and graphs to demonstrate the eventual dominance of exponential functions.

A high-intensity, 120-minute math simulation. Students act as lead consultants, completing a high-speed skill warmup before selecting a professional sector (Music, Urban Planning, Rocket Science, or Sports Analytics) to solve a series of complex work orders.

A high-intensity, 120-minute math simulation. Students act as lead consultants, completing a high-speed skill warmup before selecting a professional sector (Music, Urban Planning, Rocket Science, or Sports Analytics) to solve a series of complex work orders.

A series of 8th and 9th grade Algebra lessons focused on linear relationships and systems of equations, with a focus on SPED/IEP support.

A foundational math sequence for special education students (grades 5-6) focusing on algebraic thinking and spatial reasoning through highly visual, themed units.

A 7-week comprehensive math review sequence designed to prepare 6th-grade students for North Carolina state testing, covering Number Systems, Ratios, Expressions, Geometry, and Statistics.

A comprehensive review suite for the New York State Mathematics Regents exams, including Algebra 1, Geometry, and Algebra 2, featuring mastery blueprints, calculator strategies, and exam-taking tips.

A comprehensive 10-week preparation sequence designed to get students ready for the Algebra I Regents exam by May 15th, featuring bi-weekly 30-minute practice sessions and visual anchor charts.

A comprehensive math intervention sequence for 6th-grade students, focusing on four key domains: Numbers & Operations, Algebraic Thinking, Measurement & Data, and Geometry. This sequence uses high-leverage strategies from the All Learners Network (ALN) and aligns with i-Ready prerequisite modules to bridge conceptual gaps.

A comprehensive unit on 6th-grade expressions (NC.6.EE.1-4) themed around architecture and construction. Students act as 'Expression Architects' to master exponents, algebraic expressions, and equivalent properties.

A 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.

A series of targeted Algebra 1 lessons focusing on foundational linear skills: solving equations, inequalities, and calculating rate of change, all aligned to STAAR standards.

A focused sequence on distinguishing between additive and multiplicative numerical patterns, specifically targeting TEKS 5.4D and 5.4C for 5th-grade students.

A high-intensity, 120-minute math simulation. Students act as lead consultants, completing a high-speed skill warmup before selecting a professional sector (Music, Urban Planning, Rocket Science, or Sports Analytics) to solve a series of complex work orders.

A high-intensity, 120-minute math simulation. Students act as lead consultants, completing a high-speed skill warmup before selecting a professional sector (Music, Urban Planning, Rocket Science, or Sports Analytics) to solve a series of complex work orders.

A foundational math sequence for special education students (grades 5-6) focusing on algebraic thinking and spatial reasoning through highly visual, themed units.

A 7-week comprehensive math review sequence designed to prepare 6th-grade students for North Carolina state testing, covering Number Systems, Ratios, Expressions, Geometry, and Statistics.

A comprehensive review suite for the New York State Mathematics Regents exams, including Algebra 1, Geometry, and Algebra 2, featuring mastery blueprints, calculator strategies, and exam-taking tips.

A comprehensive 10-week preparation sequence designed to get students ready for the Algebra I Regents exam by May 15th, featuring bi-weekly 30-minute practice sessions and visual anchor charts.

A comprehensive math intervention sequence for 6th-grade students, focusing on four key domains: Numbers & Operations, Algebraic Thinking, Measurement & Data, and Geometry. This sequence uses high-leverage strategies from the All Learners Network (ALN) and aligns with i-Ready prerequisite modules to bridge conceptual gaps.

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.

A focused sequence on distinguishing between additive and multiplicative numerical patterns, specifically targeting TEKS 5.4D and 5.4C for 5th-grade students.

A 3-day math sequence for 3rd graders focused on multiplication comparisons and identifying patterns in tables using a fun Toy Factory theme.

A Unit 8 Algebra sequence for 9th-grade IEP students, covering systems of linear equations. Includes graphing (8.1), substitution (8.2), and elimination (8.3) methods with high visual scaffolding, 60-minute lesson plans, and comprehensive student packets.

A 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.

This lesson covers identifying the domain and range of exponential, square root, and quadratic functions through multiple-choice practice. Students will analyze function equations to determine possible input and output values.

A comprehensive Algebra II final exam covering quadratics, function operations, inverses, exponent rules, and polynomial division.

A comprehensive 9th-grade assessment lesson covering coordinate geometry, functions, slope, and graph interpretation through review, testing, and reflection.

A 65-minute lesson for 9th-grade students on graphing linear equations efficiently using slope-intercept form (y = mx + b). Students move from the tedious method of tables to the 'shortcut' of using the y-intercept and slope as a blueprint for their lines.

This lesson introduces 9th-grade students to the concept of functions and relations, focusing on how to visually identify a function using the vertical line test. Students will learn a practical skill for analyzing graphical representations in mathematics, preparing them for more complex algebraic concepts.

This lesson introduces 9th-grade students to the concept of slope, enabling them to calculate it from graphs or two given points and interpret it as a rate of change in real-world scenarios.

A comprehensive lesson on writing numerical expressions and analyzing mathematical patterns through the lens of digital logic and circuit design. Students will master parentheses in expressions and explore relationships between numerical patterns on a coordinate plane.

A quick warm-up session to prepare students for the Graphing Patterns Checkpoint, focusing on proportional relationships, data tables, and coordinate graphing.

A comprehensive final assessment for Algebra 1 covering linear equations, systems, exponents, polynomials, and quadratic functions. Includes free response and graphing sections to evaluate deep understanding.

A high-yield GED prep lesson targeting core algebraic reasoning, including linear equations, inequalities, simplifying expressions, and coordinate functions. Includes a comprehensive study guide, practice worksheet, and step-by-step explanatory answer key.

A scaffolded algebra lesson designed for 8th-grade students with IEPs to master converting linear equations, identifying equivalent standard forms, and analyzing parallel and perpendicular lines through graphic organizers and step-by-step visual templates.

Students will learn to calculate the slope of a line between two points using the slope formula, identifying positive, negative, zero, and undefined slopes.

This lesson covers identifying the domain and range of exponential, square root, and quadratic functions through multiple-choice practice. Students will analyze function equations to determine possible input and output values.

Un kit complet de révision de dernière minute pour le DNB de Mathématiques, comprenant un sujet blanc guidé pas-à-pas pour les élèves et un corrigé détaillé avec barème pour l'enseignant.

A comprehensive 9th-grade assessment lesson covering coordinate geometry, functions, slope, and graph interpretation through review, testing, and reflection.

A 65-minute lesson for 9th-grade students on graphing linear equations efficiently using slope-intercept form (y = mx + b). Students move from the tedious method of tables to the 'shortcut' of using the y-intercept and slope as a blueprint for their lines.

This lesson introduces 9th-grade students to the concept of functions and relations, focusing on how to visually identify a function using the vertical line test. Students will learn a practical skill for analyzing graphical representations in mathematics, preparing them for more complex algebraic concepts.

This lesson introduces 9th-grade students to the concept of slope, enabling them to calculate it from graphs or two given points and interpret it as a rate of change in real-world scenarios.

A comprehensive lesson on writing numerical expressions and analyzing mathematical patterns through the lens of digital logic and circuit design. Students will master parentheses in expressions and explore relationships between numerical patterns on a coordinate plane.

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 quick warm-up session to prepare students for the Graphing Patterns Checkpoint, focusing on proportional relationships, data tables, and coordinate graphing.

A comprehensive final assessment for Algebra 1 covering linear equations, systems, exponents, polynomials, and quadratic functions. Includes free response and graphing sections to evaluate deep understanding.

A scaffolded algebra lesson designed for 8th-grade students with IEPs to master converting linear equations, identifying equivalent standard forms, and analyzing parallel and perpendicular lines through graphic organizers and step-by-step visual templates.

Students will learn to calculate the slope of a line between two points using the slope formula, identifying positive, negative, zero, and undefined slopes.

This lesson covers identifying the domain and range of exponential, square root, and quadratic functions through multiple-choice practice. Students will analyze function equations to determine possible input and output values.

A comprehensive Algebra II final exam covering quadratics, function operations, inverses, exponent rules, and polynomial division.

This lesson introduces 9th-grade students to the concept of functions and relations, focusing on how to visually identify a function using the vertical line test. Students will learn a practical skill for analyzing graphical representations in mathematics, preparing them for more complex algebraic concepts.

A comprehensive lesson on writing numerical expressions and analyzing mathematical patterns through the lens of digital logic and circuit design. Students will master parentheses in expressions and explore relationships between numerical patterns on a coordinate plane.

A quick warm-up session to prepare students for the Graphing Patterns Checkpoint, focusing on proportional relationships, data tables, and coordinate graphing.

A comprehensive final assessment for Algebra 1 covering linear equations, systems, exponents, polynomials, and quadratic functions. Includes free response and graphing sections to evaluate deep understanding.

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 comprehensive AVID-style lesson comparing linear and quadratic functions through inquiry-based algebraic methods and Cornell Note-taking.

A comprehensive unit review and summative assessment covering three key methods for solving quadratic equations: graphing, factoring, and the quadratic formula. Students practice identifying key features of parabolas, algebraic manipulation for factoring, and the step-by-step application of the quadratic formula.

An extra practice lesson focused on helping students strategically choose between slope-intercept and point-slope forms based on given mathematical information. Includes a comprehensive student packet with scaffolding and a detailed teacher answer key.

Explore the relationship between a quadratic function and its inverse. Students will graph both, compare domain and range, and determine if the inverse is a function or a relation.

A specialized two-day review sequence for 8th-grade Tier 3 students, focusing on high-frequency assessment topics: exponents, linear functions, transformations, and scatter plots. Each 30-minute lesson uses a 'Model, Guide, Practice' framework to build confidence and accuracy.