Number Operations

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.

A sequence focused on mastering the fundamental properties of mathematical operations, including commutative, associative, and distributive properties, and understanding why they don't apply to subtraction and division.

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.

Une série de micro-leçons de 10 minutes centrée sur l'optimisation de l'espace papier. Les élèves apprennent à mettre à l'échelle une mise en page de 6 photos (format A4) vers le format Raisin (50x65 cm) en minimisant les chutes.

A comprehensive small-group intervention toolkit designed to help students master multi-step equations through scaffolded practice, error analysis, and real-world translation.

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

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 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 middle school algebra lesson focused on identifying terms, combining like terms, and recognizing equivalent expressions through video analysis and a matching card game.

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 Pre-Algebra sequence focused on mastering the distributive property through visual analogies, emoji-based patterns, and color-coded modeling. Students transition from concrete sushi and emoji examples to abstract algebraic expressions.

This sequence uses two-color counters and algebra tiles to help students understand integer operations and basic algebraic equations through concrete modeling. Students progress from physical manipulation to symbolic representation, focusing on the concept of 'zero pairs'.

A four-day series of post-testing cooldown activities for 7th graders, featuring math, ELA, logic, and creative tasks with a 'Mission Possible' spy theme.

A unit exploring ratios, rates, and unit rates through engaging real-world scenarios and visual modeling techniques like ratio tables and double number lines.

A sequence focused on mastering the fundamental properties of mathematical operations, including commutative, associative, and distributive properties, and understanding why they don't apply to subtraction and division.

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 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 small-group intervention toolkit designed to help students master multi-step equations through scaffolded practice, error analysis, and real-world translation.

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

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 targeted math intervention sequence focused on remediating GCF gaps using a visual, color-coded prime factorization strategy. This sequence emphasizes the efficiency of prime factorization over listing factors for larger numbers.

A middle school algebra lesson focused on identifying terms, combining like terms, and recognizing equivalent expressions through video analysis and a matching card game.

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

A Pre-Algebra sequence focused on mastering the distributive property through visual analogies, emoji-based patterns, and color-coded modeling. Students transition from concrete sushi and emoji examples to abstract algebraic expressions.

A middle school mathematics unit focused on proportional reasoning, ratio analysis, and multi-representation of numerical relationships.

This sequence uses two-color counters and algebra tiles to help students understand integer operations and basic algebraic equations through concrete modeling. Students progress from physical manipulation to symbolic representation, focusing on the concept of 'zero pairs'.

A concrete introduction to algebraic thinking using algebra tiles. Students move from representing variables to solving one-step equations by balancing and partitioning physical models.

This 5-lesson sequence uses the Concrete-Representational-Abstract (CRA) framework to teach integer operations to 6th-grade students with academic support needs. Students utilize two-color counters to model positive and negative values, master the concept of zero pairs, and eventually transition to number line representations and symbolic computation.

A 5-lesson series for 7th-grade students using algebra tiles to bridge the gap between concrete manipulatives and abstract algebraic notation. Students move from naming tiles to solving two-step equations using the Concrete-Representational-Abstract (CRA) framework.

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.

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 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 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 review for the Grade 7 Math Interim Assessment 3, covering algebraic equations, proportional relationships, rational numbers, and multi-step percent problems.

A Tier 2 intervention series focusing on multi-digit division using partial quotients and the standard algorithm. Designed for 15-minute daily sessions to build fluency and confidence in 6th grade students.

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.

Une série de micro-leçons de 10 minutes centrée sur l'optimisation de l'espace papier. Les élèves apprennent à mettre à l'échelle une mise en page de 6 photos (format A4) vers le format Raisin (50x65 cm) en minimisant les chutes.

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 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 week-long math unit focused on identifying coin values and performing addition and subtraction of money up to $20 using a calculator in real-world contexts.

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 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.

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 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.

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 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 sequence focused on visual representations of integers, absolute value, and inequalities using vertical and horizontal number lines to support 6th-grade academic support students.

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 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 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.

An advanced geometry sequence focusing on solving for missing legs, identifying triples, and applying the Pythagorean Theorem to coordinate geometry and real-world navigation.

An inquiry-driven sequence where students explore special polynomial products to discover consistent algebraic patterns. Students derive the patterns for the square of a sum, square of a difference, and difference of squares through experimentation, building foundational number sense and preparing for future factoring units.

This sequence explores the intersection of art and geometry through inscribed regular polygons. Students use compass and straightedge techniques to construct triangles, hexagons, squares, and pentagons, culminating in a geometric mandala project.

This sequence applies graphing skills to real-world decision-making scenarios, focusing on comparing rates and constraints. Students act as analysts, using graphs to model costs, earnings, and movement, moving from single rates to systems of equations and linear inequalities.

An inquiry-based unit where students investigate numerical patterns, generate sequences from rules, and represent these relationships on the coordinate plane. They will learn to compare patterns and analyze how different operations affect visual trends.

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.

This workshop-style sequence empowers students to fluently translate between fraction and decimal notations to compare values effectively. Students explore fractions as division, use powers of ten for conversion, and master ordering mixed data sets.

A comprehensive 7th-grade math unit focused on identifying proportional relationships, calculating unit rates with complex fractions, and defining the constant of proportionality (k) in real-world contexts. Students will progress from inquiry-based discovery to mastery-level application and comparison of rates.

This sequence empowers students to become savvy consumers through the lens of proportional relationships. They will master unit rates, compare mixed representations, and apply their skills to real-world financial decisions.

A workshop-style sequence for 7th-grade students focusing on the transition from unit rates to algebraic equations of the form y = kx. Students learn to calculate the constant of proportionality, interpret graphical points, and use equations to predict outcomes.

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 sequence focused on visual representations of integers, absolute value, and inequalities using vertical and horizontal number lines to support 6th-grade academic support students.

This sequence explores the geometric logic of polygons, focusing on the relationship between sides and angles. Students will derive formulas for interior and exterior angles and apply this knowledge to determine which shapes can tessellate a plane, culminating in the creation of original geometric art.

A specialized sequence for 6th-grade students to master complex math problems by breaking them down into algorithmic steps. Students move from analyzing everyday tasks to drafting and testing their own Standard Operating Procedures (SOPs) for math operations, fostering independence and reducing procedural errors.

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.

A comprehensive sequence on statistical variability focusing on Mean Absolute Deviation (MAD). Students progress from conceptual understanding of spread to algorithmic calculation and comparative analysis of data distributions.

An advanced geometry sequence focusing on solving for missing legs, identifying triples, and applying the Pythagorean Theorem to coordinate geometry and real-world navigation.

An inquiry-driven sequence where students explore special polynomial products to discover consistent algebraic patterns. Students derive the patterns for the square of a sum, square of a difference, and difference of squares through experimentation, building foundational number sense and preparing for future factoring units.

This sequence explores the intersection of art and geometry through inscribed regular polygons. Students use compass and straightedge techniques to construct triangles, hexagons, squares, and pentagons, culminating in a geometric mandala project.

This sequence applies graphing skills to real-world decision-making scenarios, focusing on comparing rates and constraints. Students act as analysts, using graphs to model costs, earnings, and movement, moving from single rates to systems of equations and linear inequalities.

An inquiry-based unit where students investigate numerical patterns, generate sequences from rules, and represent these relationships on the coordinate plane. They will learn to compare patterns and analyze how different operations affect visual trends.

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.

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.

Students explore the building blocks of numbers through arrays, divisibility patterns, and real-world scenarios to master Greatest Common Factors and Least Common Multiples.

A comprehensive 7th-grade math unit focused on identifying proportional relationships, calculating unit rates with complex fractions, and defining the constant of proportionality (k) in real-world contexts. Students will progress from inquiry-based discovery to mastery-level application and comparison of rates.

A workshop-style sequence for 7th-grade students focusing on the transition from unit rates to algebraic equations of the form y = kx. Students learn to calculate the constant of proportionality, interpret graphical points, and use equations to predict outcomes.

A ten-week Tier 2 intervention program for 7th graders focused on Polya's four-step problem-solving process and specific mathematical strategies. Each session is designed for 30 minutes and includes visual instruction, guided practice, and independent reflection.