Number Operations

A 5-day intensive reteach sequence focused on converting measurements within metric and customary systems and solving real-world measurement word problems using the four operations.

A 6-week comprehensive practice program focusing on 6+ digit addition and subtraction. Includes weekly homework assignments with increasing complexity and a final summative assessment, all featuring an architectural blueprint theme to emphasize precision and structure.

A 10-week spiral multiplication curriculum for 5th grade, focusing on building conceptual understanding through models and moving toward procedural fluency with whole numbers and decimals. Each week introduces new concepts while revisiting previous ones to ensure long-term retention.

A unit focused on identifying and applying mathematical patterns to solve complex problems with ease, specifically targeting multiplication and division of large numbers.

A 5-lesson sequence for 5th Grade students focusing on the conceptual development of volume using unit cubes, specifically designed for academic support. Students progress from physical building and counting to discovering the multiplicative formula and applying it to composite shapes and real-world design challenges.

This sequence builds a conceptual foundation for multi-digit multiplication and division through visual models like area models, partial products, and partial quotients. Students move from concrete representations to abstract problem-solving, culminating in multi-step word problems involving remainders.

A 5th-grade math sequence exploring numerical patterns through the lens of multi-digit multiplication, long division, and coordinate graphing. Students act as code breakers and data analysts to solve real-world scenarios.

A 5th-grade math sequence focused on multi-digit multiplication and division. Students bridge conceptual models to standard algorithms, develop procedural fluency, and learn to select and verify operations using inverse relationships.

A 5th-grade math sequence exploring the creation, comparison, and graphing of numerical patterns. Students progress from simple rules to visualizing linear growth on a coordinate plane, transforming arithmetic into algebraic thinking.

This inquiry-based sequence focuses on algebraic thinking by exploring numerical patterns and functional relationships. Students progress from simple repeating and growing patterns to identifying explicit rules and using them to predict future terms.

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.

A 5th-grade math unit that bridges visual area models with standard algorithms for multi-digit multiplication and division, emphasizing place value logic and conceptual fluency.

A comprehensive 5th-grade math unit focusing on multi-digit division. Students progress from partial quotients to the standard algorithm, with a heavy emphasis on interpreting remainders in real-world contexts and solving complex multi-step logistics problems.

Students transition from area models to linear models, representing fractions as specific locations and distances on a number line. The sequence progresses from physical paper folding to abstract plotting and real-world measurement beyond one whole.

A Tier 2 intervention sequence designed for 5th-grade students struggling with adding and subtracting fractions with unlike denominators. The sequence follows a concrete-representational-abstract (CRA) progression, moving from visual models to standard algorithms and mixed numbers.

A collaborative mathematics lesson focusing on adding mixed numbers with regrouping. Students work in teams to master the regrouping algorithm through a relay-style activity after analyzing instructional video content.

A 5th-grade math sequence focused on volume formulas through the lens of packaging engineering. Students analyze real-world efficiency, optimize dimensions, design nets for prototypes, and solve complex 'volume within a volume' shipping problems.

A 5th-grade geometry sequence exploring volume and surface area through the lens of packaging engineering. Students investigate optimization, real-world constraints, and design prototypes.

This sequence shifts from concrete models to abstract rules and pattern recognition, focusing on efficiency and application. Students explore divisibility rules to quickly analyze larger numbers and use Venn diagrams to find commonalities between numbers. The arc moves from individual number analysis to comparing two numbers to find Greatest Common Factors (GCF) and Least Common Multiples (LCM), culminating in a real-world logistics case study.

This inquiry-based sequence focuses on algebraic thinking by exploring numerical patterns and functional relationships. Students progress from simple repeating and growing patterns to identifying explicit rules and using them to predict future terms.

This sequence guides 5th-grade students through the world of factors and multiples. Students will learn to distinguish between these two fundamental number properties, master GCF and LCM calculation techniques, and apply their knowledge to solve complex real-world word problems and strategy games.

An inquiry-based exploration of number theory through geometric modeling, investigating factor pairs, prime and composite numbers, and divisibility rules. Students move from physical manipulation of arrays to abstract prime factorization, culminating in an architectural design project.

This sequence transitions students from visual models of fractions to abstract computational algorithms using a community garden simulation context. Students explore the necessity of common denominators, learn LCM strategies, and master operations with mixed numbers, culminating in a garden design project.

This comprehensive sequence guides 4th-grade students through the progression of adding and subtracting fractions. It moves from visual models of like denominators to the procedural mastery of unlike denominators using LCM, culminating in real-world problem-solving applications.

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 sequence for 5th-grade students to master adding and subtracting fractions with unlike denominators using visual models, LCM strategies, and real-world word problems.

A 6th-grade math unit that applies GCF, LCM, and decimal operations to real-world logistics and supply chain management. Students act as logistics managers, optimizing cargo loads, scheduling fleet departures, and calculating operating costs and profit margins.

This inquiry-based sequence guides 6th-grade students through prime factorization, GCF, and LCM, culminating in real-world application of number theory. Students explore the unique prime signatures of numbers and use visual tools like Venn diagrams and area models to master multi-digit computation concepts.

A comprehensive 5-lesson sequence that guides 5th-grade students from visual models of equivalent fractions to algebraic comparison strategies and real-world ordering applications. students develop conceptual understanding through paper folding, discovery of the multiplicative identity property, and benchmark reasoning.

A project-based math sequence for 5th graders where they act as event planners. Students apply multi-digit multiplication, division, and decimal operations to plan and budget a large-scale event within strict constraints.

This 5th-grade math sequence explores factors, multiples, prime numbers, and composite numbers through a 'Number Architect' theme. Students move from visual array building to advanced logic puzzles, learning how the fundamental building blocks of numbers (primes) are used to solve real-world problems involving GCF and LCM.

This inquiry-based sequence explores how numbers are constructed through factors, primes, and multiples. Students use visual models like rectangular arrays and the Sieve of Eratosthenes to develop a deep conceptual understanding of number properties.

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.

This 5th-grade math sequence guides students from the conceptual 'why' of common denominators through inquiry-based modeling to procedural fluency in adding and subtracting fractions. Students will explore equivalent fractions, Least Common Multiples (LCM), and simplification techniques to master fractions with unlike denominators.

A comprehensive unit on fractions covering identification, decomposition with tape diagrams, equivalent fractions, and representing fractions on a number line. Students act as 'Factory Engineers' to build and analyze numerical parts.

A comprehensive 5-week Tier 3 intervention for grades 4-6 focusing on foundational place value concepts from grades 1-4. The sequence uses a 'Digit Detectives' mystery theme to engage students in mastering place value relationships, large numbers, comparison, rounding, and number patterns.

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

A series of targeted interventions focusing on foundational fraction concepts, specifically partitioning and representing fractions on number lines.

A Tier 2 intervention unit focused on numerical patterns, relationships, and coordinate graphing for 5th grade students. Students use linking cubes and color-coded sequences to bridge the gap between concrete patterns and abstract graphing.

A 6-lesson Tier 2 intervention designed to help students master the relationship between numerical patterns, converting them into ordered pairs, and graphing them on a coordinate plane using a cartography and exploration theme.

A comprehensive math lesson focusing on identifying and representing relationships between numerical patterns using input/output tables and equations.

A game-based introduction to coordinate geometry where students learn to navigate grids, plot points, and transform shapes within a space exploration theme. Students transition from basic location-finding to complex mapping and translations.

A comprehensive 5th-grade math sequence exploring numerical patterns, the rules governing them, and their visual representation on coordinate planes. Students advance from identifying simple rules to comparing two related patterns and graphing functional relationships.

A 5th-grade math sequence exploring numerical patterns through the lens of multi-digit multiplication, long division, and coordinate graphing. Students act as code breakers and data analysts to solve real-world scenarios.

A 5th-grade math sequence exploring the creation, comparison, and graphing of numerical patterns. Students progress from simple rules to visualizing linear growth on a coordinate plane, transforming arithmetic into algebraic thinking.

This inquiry-based sequence focuses on algebraic thinking by exploring numerical patterns and functional relationships. Students progress from simple repeating and growing patterns to identifying explicit rules and using them to predict future terms.

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.

A 5th-grade math sequence that bridges the gap between simple arithmetic rules and coordinate graphing, teaching students to generate, compare, and visualize numerical relationships.

A comprehensive sequence for 5th-grade students focusing on identifying, generating, and graphing numerical patterns using the four operations. Students progress from simple additive rules to multi-step expressions and coordinate plane visualization.

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.

Students transition from area models to linear models, representing fractions as specific locations and distances on a number line. The sequence progresses from physical paper folding to abstract plotting and real-world measurement beyond one whole.

A series of lessons designed to bridge 3rd-grade math concepts with foundational algebraic thinking, focusing on solving for variables through visual modeling and tactile interactive components.

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

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 series of lessons designed for remedial 5th/6th grade students to master fraction operations through visual modeling, manipulatives, and conceptual understanding.

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.

A comprehensive sequence focused on using bar models (tape diagrams) to bridge the gap between arithmetic reasoning and algebraic abstraction. Students progress from simple part-whole relationships to complex equations with variables on both sides and the distributive property.

This sequence uses the Concrete-Representational-Abstract (CRA) framework to help 4th-grade students decompose multi-step math problems. Students progress from physical manipulatives to bar models, mastering multiplicative comparisons and two-step problem structures to reduce cognitive load and improve problem-solving accuracy.

A case study approach to interpreting and analyzing data sets to solve multi-step comparison problems. Students move from simple reading of values to synthesizing complex data to make informed decisions.

A 5th-grade geometry sequence exploring the additive nature of angles, straight angles, complementary relationships, and solving for unknown angles through logic and deduction. Students move from concrete measurement to abstract calculation in a mystery-solving context.

This 5th-grade math sequence shifts the focus from simple computation to critical error analysis in addition and subtraction equations. Students act as 'Math Detectives,' diagnosing common pitfalls like unbalanced operations, incorrect inverse strategies, and arithmetic vs. conceptual errors to build a deep understanding of algebraic properties.

A 5th-grade math sequence focused on building algebraic reasoning through logic puzzles, games, and mystery-solving activities. Students move from visual shape algebra to formal addition and subtraction equations.

Students bridge literacy and algebra by translating real-world scenarios into mathematical equations. The sequence focuses on identifying variables, mapping keywords to symbols, and constructing one-step addition and subtraction equations.

A 5th-grade math sequence focused on understanding algebraic equality through visual models, pan balances, and bar models to solve addition and subtraction equations.

Students master the inverse relationship between addition and subtraction to solve single-step equations. The sequence uses a detective-themed approach to help students 'undo' operations and find missing values.

This foundational sequence reintroduces the equal sign as a symbol of balance ('the same as') rather than a command to calculate ('the answer is'). Students move from concrete physical balances to visual representations, exploring how equations remain true only when values on both sides are equivalent.

A 12-session Tier 2 intervention series focusing on making ten and decomposing strategies for addition and subtraction word problems within 20 and 200. Designed for students with learning and intellectual disabilities using direct instruction and hands-on practice.

A 10-session unit focused on teaching students with ADHD and intellectual disabilities how to solve 1-step and multi-step word problems using pictorial models and visual strategies.

A comprehensive set of multiplication fact fluency quizzes covering facts from 0 to 12, including individual fact sprints and mixed reviews. Each material is designed as a half-page "sprint" to save paper and allow for quick daily practice.

A comprehensive diagnostic suite for grades 2-5 designed to identify specific skill gaps in foundational math domains aligned to the Iowa Core standards. This series helps educators pinpoint exactly where students have discrepancies in place value, arithmetic, and early rational numbers.

A comprehensive sequence focusing on linear measurement conversions, providing step-by-step visual guides and practice for converting between inches, feet, yards, and miles.

A diverse collection of high-quality math resources spanning grades 2 through 5, focusing on core arithmetic, fractions, and place value concepts.

A four-day intensive unit on decomposing rectilinear figures to find total area, progressing from basic strategies to complex real-world architectural challenges. Students act as 'Blueprint Builders' to master vertical cuts, horizontal cuts, and additive/subtractive methods.

A 4-day small group reteach sequence for 5th-grade students focusing on decimal multiplication and division. The sequence uses hands-on strategies, place value relationships, and pictorial models to solve real-world mathematical discoveries.

A 5-day Tier 2 math intervention series designed for 4th-grade students to master multiplication concepts, ranging from conceptual modeling to partial products and fluency. The series utilizes a "Multiplication Builders" theme, treating math concepts like construction projects to build a solid foundation.

A collection of Valentine's Day math packets at two different levels (Level 1 and Quest), covering budgeting, graphing, measurement, time, and word problems.

A comprehensive suite of strategies and visual supports designed to help K-5 students decode and solve addition, subtraction, multiplication, and division word problems using a detective-themed approach.

A Tier 2 intervention sequence for 5th-grade students focusing on solving complex volume problems. Students act as 'Volume Architects,' using blueprints and unit cubes to master multiplication formulas and the additive property of volume for composite figures.

A Tier 2 intervention unit focused on understanding multiplication as scaling. Students explore how multipliers greater than, less than, or equal to one affect the size of the product compared to the original factor.

A Tier 2 intervention sequence focused on dividing unit fractions by whole numbers and vice versa, using bakery-themed visual models and story-based learning. Students use fraction strips, number lines, and area models to master 5.NF.B.7.

A three-day project-based learning sequence where students plan a Hawaii vacation while solving two-step word problems. The math progresses from addition and subtraction to multiplication and finally all four operations, all within 1000.

A comprehensive 12-lesson intervention sequence focused on geometric measurement and volume (5.MD.C). Designed for Tier 2 small groups, it utilizes All Learners Network (ALN) High Leverage Concepts and Illustrative Mathematics (IM) instructional routines to build conceptual understanding from unit cubes to complex additive volume.

A 12-session tier 2 intervention sequence designed to build conceptual mastery of fraction division. Grounded in All Learners Network (ALN) principles, students progress from visual measurement models to the common denominator strategy and eventually the standard algorithm through deep reasoning and high-leverage concepts.

Une séquence complète de 6 heures sur la proportionnalité pour les élèves de 5ème, couvrant la reconnaissance des situations, les tableaux, le coefficient, les échelles et les pourcentages.

A comprehensive unit where students become 'Problem Detectives,' learning to decode word problems using linguistic cues and cloze-style paragraph writing to explain their mathematical reasoning.

A math unit focused on mastering decimal operations through problem-solving, visual modeling, and critical thinking.

This sequence utilizes base-ten blocks and area models to scaffold multi-digit multiplication and division, providing a visual and tactile framework for students who struggle with standard algorithms. By connecting physical area models to expanded form and eventually the standard algorithm, students build a conceptual foundation that supports future algebraic learning.

A 5-lesson sequence for 5th-grade students that uses area models and math manipulatives to build a deep understanding of multi-digit multiplication. Students progress from physical arrays to drawing boxes and finally connecting these models to numerical partial products.

A comprehensive diagnostic suite for grades 2-5 designed to identify specific skill gaps in foundational math domains aligned to the Iowa Core standards. This series helps educators pinpoint exactly where students have discrepancies in place value, arithmetic, and early rational numbers.

A diverse collection of high-quality math resources spanning grades 2 through 5, focusing on core arithmetic, fractions, and place value concepts.

A comprehensive 5-week Tier 3 intervention for grades 4-6 focusing on foundational place value concepts from grades 1-4. The sequence uses a 'Digit Detectives' mystery theme to engage students in mastering place value relationships, large numbers, comparison, rounding, and number patterns.

A 4-day small group reteach sequence for 5th-grade students focusing on decimal multiplication and division. The sequence uses hands-on strategies, place value relationships, and pictorial models to solve real-world mathematical discoveries.

A series of small-group sessions designed to build foundational fraction skills, from basic identification of parts of a whole to understanding fractions greater than one and fractions of a set. Each session is designed for a 15-20 minute timeframe.

A Tier 2 intervention sequence focused on mastering decimal operations to the hundredths place using place value models, estimation, and real-world contexts. Designed for 5th-grade students needing targeted support with Colorado Standard 5.NBT.B.7.

A Tier 2 intervention sequence focused on developing deep conceptual understanding of rounding decimals using place value and number line reasoning, aligned with Colorado standard 5.NBT.A.4.

A series of 3 lessons focused on mastering decimal place value and ordering decimals on a number line, following Illustrative Mathematics Grade 5 Unit 5 Section A. Students use a map-making theme to explore tenths, hundredths, and thousandths.

A 4-day math sequence for 5th grade focused on adding/subtracting mixed rational numbers (5.3K) and modeling decimal division (5.3F) within a "Math Market" theme.

A comprehensive math review sequence for 5th grade students, specifically targeting standards from the NY Interim Assessment 3. This unit covers decimals, whole number and decimal operations, fractions, and volume through direct instruction and differentiated practice.

A 12-lesson Tier 2 intervention sequence for 5th Grade NBT standards, focusing on conceptual understanding through visual models, manipulatives, and explicit instruction following ALN and IM frameworks.

A comprehensive 12-lesson intervention sequence for 5th-grade place value and multi-digit operations. This program breaks down high-leverage concepts into granular steps: from whole number and decimal digit shifts (5.NBT.A.1) to scaffolded area models and the standard algorithm for multiplication (5.NBT.B.5), and partial quotients division with 2-digit divisors (5.NBT.B.6).

A 10-week spiral multiplication curriculum for 5th grade, focusing on building conceptual understanding through models and moving toward procedural fluency with whole numbers and decimals. Each week introduces new concepts while revisiting previous ones to ensure long-term retention.

A unit focused on identifying and applying mathematical patterns to solve complex problems with ease, specifically targeting multiplication and division of large numbers.

This sequence uses the Concrete-Representational-Abstract (CRA) framework to teach decimal place value through the lens of financial literacy. Students move from manipulating physical currency to drawing models and finally using standard algorithms to manage budgets.

A 5-lesson sequence for 5th-grade students focused on using base-ten blocks to master decimal place value, addition, and subtraction. Students transition from concrete manipulation to representational drawings and finally to the standard algorithm.

This sequence builds a conceptual foundation for decimals by linking them to fractions and area models. Students progress from physical base-ten models to writing tenth and hundredth notation, culminating in a mosaic design project.

This sequence connects abstract decimal fractions to tangible measurement and data analysis. Students act as scientists and analysts using metric tools, financial data, and sports timing to understand the necessity of precise decimal notation.

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 4th-grade math unit that uses money and shop-based simulations to teach decimal operations, focusing on place value alignment, regrouping, and real-world subtraction.

A comprehensive set of multiplication fact fluency quizzes covering facts from 0 to 12, including individual fact sprints and mixed reviews. Each material is designed as a half-page "sprint" to save paper and allow for quick daily practice.

A comprehensive diagnostic suite for grades 2-5 designed to identify specific skill gaps in foundational math domains aligned to the Iowa Core standards. This series helps educators pinpoint exactly where students have discrepancies in place value, arithmetic, and early rational numbers.

A diverse collection of high-quality math resources spanning grades 2 through 5, focusing on core arithmetic, fractions, and place value concepts.

A 5-day Tier 2 math intervention series designed for 4th-grade students to master multiplication concepts, ranging from conceptual modeling to partial products and fluency. The series utilizes a "Multiplication Builders" theme, treating math concepts like construction projects to build a solid foundation.

A series of lessons designed to bridge 3rd-grade math concepts with foundational algebraic thinking, focusing on solving for variables through visual modeling and tactile interactive components.

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