Number Operations

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 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.

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 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 12-lesson Tier 2 intervention unit for 6th-grade students focusing on the properties of operations (Commutative, Associative, and Distributive). Students learn to use these properties as "tools" in an "Operation Lab" to simplify multiplication and division tasks, progressing from visual models to mental math applications.

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.

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 comprehensive 5-lesson sequence for 6th-grade students on generating and verifying equivalent algebraic expressions. The unit moves from concrete area models to symbolic manipulation (distributive property, combining like terms, factoring) and concludes with verification through substitution and error analysis.

A comprehensive 6th-grade sequence on fraction division, moving from visual modeling with tape diagrams to the standard algorithm and real-world application with mixed numbers. Students discover reciprocals and patterns to build a deep conceptual understanding of the 'invert and multiply' rule.

A game-based sequence where students use the Capture-Recapture method to estimate population sizes, progressing from physical simulations to proportional reasoning and real-world ecological analysis.

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.

A middle school algebra sequence focused on error analysis, substitution-based verification, and mathematical argumentation regarding equivalent expressions. Students act as 'Math Detectives' to identify common misconceptions and prove equivalence.

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.

This sequence guides 6th-grade students through the process of verifying algebraic equivalence. Moving beyond rote rules, students use substitution, identify counterexamples, and analyze structural properties to prove whether two expressions are truly identical in value across all possible inputs.

A visual approach to the Distributive Property using area models, guiding 6th-grade students from numerical decomposition to algebraic expansion and error analysis.

This sequence guides 6th-grade students through the conceptual and procedural mastery of the Distributive Property. Starting with concrete area models, students learn to expand and factor expressions, ultimately building a deep understanding of algebraic structure.

This inquiry-based sequence challenges 6th-grade students to determine when and why two different-looking expressions are equivalent. Students move from numerical verification via substitution to geometric visualization with area models, and finally to algebraic justification using properties of operations.

A comprehensive 6th-grade math sequence focusing on the transition from ratio tables to linear equations. Students explore constant rates, coordinate graphing, the constant of proportionality, and algebraic modeling through real-world scenarios like snack pricing and ride-share algorithms.

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.

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 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.

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 math and SEL integration designed for Grades 5-6, focusing on multi-step fraction word problems through the lens of growth mindset and productive struggle. Students learn to reframe mistakes as data points and persistence as a measurable skill.

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 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 12-lesson Tier 2 intervention sequence for 6th-grade students struggling with multi-digit division. This sequence uses the Illustrative Mathematics approach (area models and partial quotients) and aligns with the All Learners Network's High Leverage Concepts to build deep conceptual understanding of the relationship between multiplication and division.

A 12-lesson Tier 2 intervention sequence for 6th-grade students focused on computational fluency with decimals and the system of rational numbers. The sequence follows the All Learner Network High Leverage Concepts, moving from multi-digit decimal operations to complex coordinate plane navigation.

A 6-lesson intervention sequence for 6th-grade students focusing on multi-digit decimal operations and rational number concepts on the number line and coordinate plane. Designed for small-group instruction using High Leverage Concepts.

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 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 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 focused unit on fraction operations, moving from basic multiplication to division using reciprocals and algorithmic shortcuts.

A unit focused on applying percentages to real-world financial contexts, including discounts, markups, and interest.

A 6th-grade math sequence focused on building mental math fluency with percentages. Students learn to decompose percentages into friendly numbers (10%, 5%, 1%) to estimate discounts and calculate real-world values like tips and sales prices.

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

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 12-lesson Tier 2 intervention sequence for 6th-grade students focused on computational fluency with decimals and the system of rational numbers. The sequence follows the All Learner Network High Leverage Concepts, moving from multi-digit decimal operations to complex coordinate plane navigation.

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

A comprehensive 5-lesson sequence for 6th-grade students on generating and verifying equivalent algebraic expressions. The unit moves from concrete area models to symbolic manipulation (distributive property, combining like terms, factoring) and concludes with verification through substitution and error analysis.

A 5-lesson sequence for 6th-grade students exploring the inverse relationship between the Distributive Property and factoring. Students progress from finding the Greatest Common Factor of integers and algebraic terms to factoring complex linear expressions and identifying prime expressions.

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 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.

A comprehensive 6th-grade sequence on fraction equivalence and ordering, moving from visual area models and number lines to algorithmic comparisons using common denominators and strategic ordering of rational sets.

A comprehensive 6th-grade math unit on adding and subtracting fractions and mixed numbers with unlike denominators. Students progress from conceptual visual models to procedural mastery and multi-step real-world application, with a focus on least common multiples and regrouping strategies.

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.

A comprehensive 6th-grade math unit exploring the building blocks of numbers through prime factorization, GCF, LCM, and the distributive property. Students use visual models and real-world scenarios to master number theory concepts.

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 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 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 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 Grade 6 intervention unit focused on using substitution to determine if values are solutions to equations and inequalities. This sequence targets Tier 2 support for standard 6.EE.5 through scaffolded reasoning and investigative activities.

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

A tier 2 intervention sequence for 6th-grade students focused on 6.EE.B (Equations and Inequalities). Built on All Learners Network (ALN) High Leverage Practices, this unit uses a 'Blueprint' theme to help students conceptually understand balancing equations, using variables, and representing constraints with inequalities.

A 12-lesson Tier 2 intervention unit for 6th-grade students focusing on the properties of operations (Commutative, Associative, and Distributive). Students learn to use these properties as "tools" in an "Operation Lab" to simplify multiplication and division tasks, progressing from visual models to mental math applications.

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.

A 12-lesson Tier 2 intervention series focused on 6th-grade Expressions and Equations. Using the All Learners Network (ALN) High Leverage Concepts, students build conceptual understanding of variables, equality as balance, and the structure of expressions through number sense routines and low-floor, high-ceiling tasks.

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 focused unit on fraction operations, moving from basic multiplication to division using reciprocals and algorithmic shortcuts.

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 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 6th-grade math sequence exploring different strategies for calculating percentages of numbers, specifically comparing fractional and decimal methods.

A hands-on sequence designed for students needing academic support to master fraction equivalence and operations through concrete modeling. Students use physical manipulatives like towers, blocks, and overlays to bridge the gap between abstract symbols and conceptual understanding.

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 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 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 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 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 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.

A comprehensive unit for 6th-grade students on statistical variability, focusing on quartiles, Interquartile Range (IQR), and the construction and interpretation of box plots. Students move from basic median splitting to complex data visualization and comparison.

A project-based math sequence for 6th grade where students explore equivalent algebraic expressions through the lens of geometric design, perimeter, and area. Students act as landscape architects to discover how different forms of the same expression can simplify calculations and reveal geometric properties.

This inquiry-based sequence challenges 6th-grade students to determine when and why two different-looking expressions are equivalent. Students move from numerical verification via substitution to geometric visualization with area models, and finally to algebraic justification using properties of operations.

A comprehensive 6th-grade math sequence focusing on the transition from ratio tables to linear equations. Students explore constant rates, coordinate graphing, the constant of proportionality, and algebraic modeling through real-world scenarios like snack pricing and ride-share algorithms.

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.

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 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.

This inquiry-based sequence focuses on the conceptual foundations of dividing fractions. Students move from visual area models to the discovery of the reciprocal algorithm, ensuring they understand 'why' before they focus on 'how'.

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 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 unit designed for Kindergarten and 6th-grade special education students, focusing on subitizing, counting, pattern recognition, and foundational algebraic thinking through multi-sensory engagement.

A 12-lesson Tier 2 intervention sequence for 6th-grade students focused on computational fluency with decimals and the system of rational numbers. The sequence follows the All Learner Network High Leverage Concepts, moving from multi-digit decimal operations to complex coordinate plane navigation.

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 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 unit for 6th-grade students on statistical variability, focusing on quartiles, Interquartile Range (IQR), and the construction and interpretation of box plots. Students move from basic median splitting to complex data visualization and comparison.

A comprehensive 6th-grade math sequence focusing on the transition from ratio tables to linear equations. Students explore constant rates, coordinate graphing, the constant of proportionality, and algebraic modeling through real-world scenarios like snack pricing and ride-share algorithms.

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 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 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.

This inquiry-based sequence focuses on the conceptual foundations of dividing fractions. Students move from visual area models to the discovery of the reciprocal algorithm, ensuring they understand 'why' before they focus on 'how'.

A comprehensive workshop-style sequence for 6th-grade students to master fraction equivalence and ordering. The sequence moves from visual area models to algebraic strategies using the multiplicative identity, culminating in precise number line placement and justification.

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

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 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.

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.