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 comprehensive 6-part homework series designed to prepare 7th-grade students for their math interim assessments. Each sheet covers specific standards from Expressions and Equations, Ratios and Proportional Relationships, and Rational Number operations, mirroring the format and rigor of the assessment.
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.
Students act as supply chain managers for an international relief organization, using decimal and fraction arithmetic to manage budgets, logistics, and resource distribution in real-world scenarios.
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 unit bridging concrete area models and abstract algorithms for multiplying and dividing fractions. Students move from 'taking a part of a part' to mastering reciprocals and mixed number operations in real-world contexts.
A 7th-grade math unit where students act as contractors to master adding and subtracting fractions and mixed numbers through the lens of home renovation and construction projects.
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 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 comprehensive sequence for 7th-grade students focused on building procedural fluency with mixed numbers and improper fractions, including negative values. Students will learn to navigate between forms, apply regrouping strategies, and choose the most efficient methods for multi-step rational number operations.
A high-energy series of 7th-grade math lessons focusing on fluency with rational fraction operations through games, puzzles, and competitive challenges. Students master addition, subtraction, multiplication, and division of signed fractions and mixed numbers.
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 7th-grade math project-based sequence where students apply fraction multiplication and division to manage a catering business, from scaling recipes to cost analysis and final event bidding.
A comprehensive 6th-grade math sequence exploring the conceptual and procedural foundations of adding and subtracting fractions with unlike denominators through a 'Blueprint Architects' theme. Students progress from visual modeling to mastery of the standard algorithm and simplification.
A comprehensive math sequence where students become prospectors to master arithmetic, word problems, geometry, and probability through engaging, game-based challenges.
A comprehensive 5-day review program designed to prepare students for the Grade 7 Math Interim Assessment 3. Each day covers a key domain through targeted explanations, pro-tips, and practice problems focusing on rational numbers, expressions, equations, proportions, percents, and circles.
A series of focused prep sessions designed to equip 7th-grade students with the tools and strategies needed for the New York State Math Assessment. This sequence emphasizes reference sheet familiarity, test-taking endurance, and conceptual review.
A series of targeted review lessons designed to prepare 7th-grade students for state assessments in mathematics, covering all major clusters including Ratios, Number Systems, and Geometry.
A comprehensive review for the Grade 7 Math Interim Assessment 3, covering algebraic equations, proportional relationships, rational numbers, and multi-step percent problems.
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 Tier 2 intervention sequence focused on rational number operations for 7th graders. Students navigate deep-sea depths to master integer addition, subtraction, multiplication, and division, as well as operations with fractions and decimals in real-world contexts.
A specialized intervention sequence for 7th grade students focusing on multiplying and dividing rational numbers. This sequence emphasizes visual models, sign rules, and real-world application of decimal conversion.
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 math unit focused on mastering decimal operations through problem-solving, visual modeling, and critical thinking.
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 7th-grade math sequence focused on applying algebraic equations to real-world consumer scenarios, specifically involving discounts, sale prices, and original prices.
A middle school mathematics unit focused on proportional reasoning, ratio analysis, and multi-representation of numerical relationships.
A 5-lesson sequence for 7th-grade students focusing on using base-ten blocks as manipulatives to master decimal place value, addition, and subtraction. The unit redefines the whole (flat block = 1) to build conceptual understanding of tenths and hundredths.
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 math unit focused on understanding and applying ratios and proportions through visual methods, mental math strategies, and algorithmic problem-solving.
A project-based unit where 7th-grade students analyze, design, and audit games of chance using compound probability. Students move from playing carnival games to calculating theoretical win rates and testing them against experimental data.
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 project-based math sequence where students apply mixed number division to design a Tiny House, focusing on conversion, algorithms, and real-world interpretation of remainders.
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.
Students transition from concrete unit cube packing to abstract volume formulas (V=lwh, V=Bh) with a specific focus on rectangular prisms with fractional edge lengths. The sequence culminates in real-world application through shipping logistics and a design challenge.
This sequence introduces 7th-grade students to the concept of volume through the lens of rectangular prisms. Starting with concrete unit cube packing and moving toward abstract formulas including fractional edge lengths and the 'Base Area' method, students build a deep conceptual understanding of 3D space measurement.
A sequence focused on conceptualizing fraction division through visual area models, progressing from whole numbers to fraction-by-fraction division for 6th-grade students needing academic support.
Students transition from rote arithmetic to applying fraction operations within the context of architectural design and resource management, culminating in a blueprint 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 guides 7th-grade students through the mechanics and conceptual understanding of multiplying and dividing signed rational numbers. Students move from discovering integer rules through patterns to applying those rules to complex fractions, decimals, and real-world rate problems.
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 6th-grade math sequence that teaches decimal operations through the real-world lens of financial literacy, culminating in a complex event planning budget challenge.
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 Tier 2 intervention sequence focused on foundational probability concepts for 7th grade, specifically interpreting the 0-1 scale and real-world likelihood.
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 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.
A comprehensive 6th-grade math unit that uses the number line as a primary tool for understanding the magnitude, ordering, and comparison of decimals. Students transition from visualizing tenths to 'zooming in' on hundredths and calculating midpoints.
A project-based unit where 7th-grade students act as data consultants to solve school-wide problems. They learn to identify bias, design sampling plans, collect data, and present data-backed recommendations to administration.
This sequence explores how different algebraic structures represent real-world scenarios, specifically focusing on percents, geometry, and financial modeling. Students learn to translate verbal descriptions, analyze equivalent expressions, and apply their knowledge to a final project as financial consultants.
This sequence introduces 6th-grade students to one-step equations using the concept of inverse operations. Students explore the logic of 'undoing' actions, apply properties of equality to solve equations involving all four operations, and master the skill of verifying their solutions through substitution.
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.
