Foundational fraction equivalence, ordering, and operations across the rational number system. Addresses multi-digit computation, decimal conversions, and the distinction between rational and irrational numbers.
A series of algebra and geometry foundation lessons designed with a technical blueprint aesthetic, focusing on precision, organized computation, and visual clarity in mathematical steps.
A 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.
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.
A 6-day intensive test prep unit for NC.7.RP.1 focused on unit rates. Designed specifically for special education resource rooms with heavy scaffolding, visual aids, and real-world shopping and measurement applications. Includes 4 days of instruction, a collaborative review relay, and a final assessment.
A set of targeted skill-building worksheets designed to guide students through common procedural math errors using step-by-step checklists and worked examples in a blueprint-inspired layout.
A 10-day intensive review sequence for 8th-grade math, focusing on integer operations, rational numbers, and linear equations for students needing targeted intervention.
Une exploration mathématique de l'impact des coefficients sur les moyennes, utilisant des cas pratiques concrets pour comprendre la pondération et les moyennes pondérées.
A comprehensive math series designed to prepare students for HSED exams by focusing on essential arithmetic skills applied to real-world workplace and adult life scenarios. Topics include multi-digit operations, decimals, fractions, and percentages.
A comprehensive Tier 2 intervention designed to move 7th graders from foundational one-step equations to complex multi-step real-world problems using a 'structural engineering' theme.
A comprehensive Tier 2 intervention sequence focused on multiplying and dividing rational numbers. Students move from concrete modeling with fraction tiles to abstract long division and fluency practice.
A specialized intervention sequence focused on mastering linear expressions through visual models and properties of operations. Students move from concrete algebra tiles to abstract manipulation of rational coefficients.
A comprehensive math review sequence focusing on foundational middle school skills including fraction conversions and decimal operations. This unit is designed to bridge conceptual understanding with procedural fluency.
A comprehensive math unit focusing on applying percentage calculations, sales tax, and multi-step budgeting to real-world scenarios. students act as event planners to manage a fixed budget while accounting for specific tax rates.
A unit focused on applying percentages to real-world financial contexts, including discounts, markups, and interest.
A lesson sequence focusing on financial literacy and the practical application of percentage decrease through real-world shopping scenarios and discount calculations.
A series of lessons focused on mastering algebraic and numerical fractions through visual strategies and structural simplification.
A middle school mathematics unit focused on proportional reasoning, ratio analysis, and multi-representation of numerical relationships.
This 8th-grade sequence focuses on fundamental math fluency using manipulatives. Students redefine base-10 blocks for decimals, engage in regrouping simulations, visualize division, and perform error analysis to solidify their understanding of place value and operations.
A specialized math support sequence for 8th-grade students, focusing on the conceptual understanding of fractions, decimals, and operations through the use of physical and virtual manipulatives. This sequence uses a 'Blueprint & Construction' theme to make abstract rational number concepts concrete and applicable to real-world design.
This mastery-based sequence focuses on the algebraic side of probability, specifically utilizing the multiplication rule for complex problems. Students progress from visual models to abstract formulas, covering independent and dependent events, 'at least one' scenarios using complements, and mixed strategy application.
A comprehensive 7-week NYS Math Assessment preparation sequence for 8th grade, covering major clusters including algebra, functions, geometry, and statistics.
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.
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.
A comprehensive 10-week preparation sequence designed to get students ready for the Algebra I Regents exam by May 15th, featuring bi-weekly 30-minute practice sessions and visual anchor charts.
A series of lessons designed to build fluency in mathematical notation and operations through visual and tactile learning.
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.
A targeted intervention sequence for Grade 8 students to master estimating irrational numbers like square roots and pi, placing them accurately on number lines between rational benchmarks.
A specialized intervention sequence focused on the Number System for Grade 8, specifically identifying rational and irrational numbers through their decimal expansions and converting between forms.
A targeted Tier 2 intervention sequence focused on helping students master rational approximations of irrational numbers. Students move from 'sandwiching' square roots between perfect squares to estimating complex expressions and comparing values on a number line.
A Tier 2 intervention unit focused on distinguishing between rational and irrational numbers through pattern recognition and algebraic conversion. Students explore decimal expansions, long division models, and number line placement to master Colorado standard 8.NS.A.1.
A specialized intervention sequence designed for Grade 8 students to build a conceptual foundation in the real number system, focusing on the distinction between rational (repeating/terminating) and irrational numbers using CRA methods.
A specialized intervention sequence focused on helping 8th-grade students master the approximation and comparison of irrational numbers using visual models and estimation strategies.
A 7th-grade unit exploring the divide between rational and irrational numbers. Students use long division patterns, geometric square models, and number line approximation to master the real number system.
This high school mathematics sequence guides students from the decimal representation of rational and irrational numbers through the formal logic of proof by contradiction, culminating in the classic proof of the irrationality of the square root of 2 and the exploration of closure properties in the real number system.
An 8th-grade geometry sequence focusing on the algebraic manipulation of volume formulas for cylinders, cones, and spheres. Students progress from simple calculations to solving for missing dimensions (height and radius) using inverse operations, square roots, and cube roots.
This sequence bridges the conceptual gap between basic arithmetic definitions and rigorous algebraic understanding of the real number system. Students move from decimal expansion to formal proofs by contradiction, geometric construction, and iterative approximation algorithms.
A high-school level exploration of irrational numbers, covering geometric origins, formal proofs by contradiction, decimal classification, and high-precision estimation techniques. Students move from historical context to rigorous algebraic reasoning and numerical analysis.
This sequence guides 8th-grade students from the basics of perfect squares to the complex task of approximating and ordering irrational numbers on the real number line. Students will use geometric models, decimal expansion analysis, and systematic bounding techniques to master the real number system.
This sequence guides 9th-grade students through the conceptual shift from rational to irrational numbers. Students explore decimal expansions, geometric models of square roots, estimation techniques using perfect square benchmarks, and precision plotting on the real number line, culminating in the comparison and ordering of real numbers in various formats.
A math unit focused on understanding and applying ratios and proportions through visual methods, mental math strategies, and algorithmic problem-solving.
A comprehensive 5-lesson unit on rational expressions, covering domain restrictions, simplification, arithmetic operations, and solving equations with a focus on extraneous solutions.
This sequence guides 7th-grade students from visual probability models (tree diagrams, area models) to the abstract Multiplication Rule for independent and dependent events. Students will discover the rule through inquiry, apply it to increasingly complex multi-stage scenarios, and master the distinction between replacement and non-replacement contexts.
This sequence explores the differences between independent and dependent events through hands-on simulations, comparative analysis, and multi-step calculations. Students learn to adjust sample spaces and numerators based on whether items are replaced, building a strong foundation for compound probability.
A comprehensive 9th-grade unit on mastering arithmetic operations with signed rational numbers (fractions and decimals). The sequence moves from visual number line models to abstract algorithms and complex order of operations, emphasizing the 'why' behind sign rules.
A comprehensive 7th-grade unit that builds a deep conceptual understanding of fraction division, moving from visual modeling to the standard algorithm and real-world application. Students investigate reciprocals, handle mixed numbers, and solve complex multi-step problems.
This sequence guides students from conceptual modeling of fraction division to applying the standard algorithm with mixed numbers in complex geometric and real-world contexts. Students will explore the 'why' behind the reciprocal before mastering the 'how' and applying it to find missing dimensions and unit rates.
This inquiry-based sequence utilizes geometric area models to conceptualize the distributive property. Students move from concrete arithmetic to abstract algebraic manipulation, eventually fluently expanding linear expressions with rational coefficients.
An 8th-grade algebra sequence focused on the precision of expression simplification, covering negative distribution, nested grouping symbols, and fractional coefficients through a technical blueprint theme.
Students transition from rote arithmetic to applying fraction operations within the context of architectural design and resource management, culminating in a blueprint design project.
This 8th-grade sequence bridges ratio concepts with linear functions by exploring unit rates as the slope of proportional relationships. Students progress from complex fraction calculations to graphing, comparing multiple representations, and modeling real-world scenarios with equations, culminating in a logistics optimization challenge.
This project-based sequence guides students through the practical application of unit rates in financial and physical contexts. Students calculate basic unit prices, solve complex fraction rates, and analyze constant speed through graphing, culminating in a consumer analysis project.
A comprehensive math review unit focused on mastering rational numbers, absolute value, and algebraic expressions through structured gameplay and practice.
A comprehensive collection of mathematical vocabulary resources covering number systems, algebraic expressions, and statistical analysis. This unit focuses on building precise mathematical language for foundational concepts.
A series of inquiry-based lessons exploring the deep connection between prime factorization and decimal representations. Students move from predicting decimal types to mental conversion strategies and advanced simplification.
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 unit focused on mastering the number system, starting with integer basics and moving toward complex operations and coordinate planes.
A high-stakes financial modeling unit where students apply rational number arithmetic to track net worth, allocate assets, and forecast long-term growth. Students take on the role of financial planners using signed decimals and fractions to navigate market volatility and interest rates.
A project-based unit where 8th-grade students apply rational number operations (fractions and decimals) to scale blueprints and budget materials for a 'Tiny House' architectural design project.
A 5-lesson unit where 8th-grade students act as financial analysts to master operations with rational numbers through real-world simulations of bank ledgers, stock markets, and debt division.
This sequence moves students from visual models to standard algorithms for multiplying and dividing fractions. Students build a deep conceptual understanding through scaling, area models, and physical manipulatives before mastering the standard algorithm and applying it to real-world scaling and design projects.
A comprehensive 8th-grade math sequence that bridges the gap between basic fraction division and algebraic reasoning. It covers visual proofs, rational number rules, complex fractions, fractional coefficients in equations, and real-world rate applications.
This sequence applies fraction multiplication and division to architectural design and spatial planning, moving from visual area models to complex multi-step scaling and design challenges. Students master operations with rational numbers through the lens of a professional architect.
A comprehensive math sequence where students become prospectors to master arithmetic, word problems, geometry, and probability through engaging, game-based challenges.
