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 7-lesson intervention sequence designed to build conceptual fraction understanding through visual models, number lines, and scaffolded practice. The sequence moves from basic area models to adding and subtracting with unlike denominators, prioritizing 'why' over 'how'.
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 building conceptual understanding and procedural fluency for adding and subtracting fractions with unlike denominators. Students use visual models and Cuisenaire rods to discover common units and create equivalent fractions.
An intensive Tier 2 intervention sequence designed for small groups to master mixed numbers and improper fractions. This series builds conceptual understanding and procedural fluency through visual modeling and structured architectural-themed practice.
A series of lessons designed for remedial 5th/6th grade students to master fraction operations through visual modeling, manipulatives, and conceptual understanding.
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 comprehensive sequence focused on mastering mixed number operations through visual modeling, hands-on manipulatives, and algorithmic fluency.
A lesson sequence focused on applying mixed number subtraction to real-world scenarios through collaborative problem-solving and blueprint-themed activities.
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.
This sequence addresses the conceptual hurdles of fraction operations by utilizing number lines as a concrete visual anchor. Students move from placing fractions on a line to visually estimating and calculating sums and differences using movement and length to represent value.
A sequence focused on using bar models to visualize and solve complex math problems, specifically designed for students needing academic support in executive functioning and working memory. Students progress from concrete block representations to abstract multi-step problem decomposition.
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 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 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.
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 5th-grade culminating project where students apply fraction and decimal operations to run a small business, manage a budget, and analyze profit and loss.
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 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 5-lesson Tier 2 intervention series designed for 6th-grade small group instruction, focusing on the conceptual understanding and procedural fluency of comparing, ordering, and converting fractions, decimals, and percentages.
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 math unit focused on understanding and applying ratios and proportions through visual methods, mental math strategies, and algorithmic problem-solving.
A specialized sequence for 6th-grade academic support focused on visual and concrete understanding of fraction division. Students use fraction towers and pattern blocks to move from the concept of 'how many fit' to the standard algorithm, with a heavy emphasis on interpreting remainders.
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.
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.
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.
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 6th-grade math sequence exploring positive and negative rational numbers through a cartography and navigation theme. Students move from basic placement on a number line to complex multi-step operations in real-world contexts like deep-sea exploration and extreme weather.
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 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 focused unit on fraction operations, moving from basic multiplication to division using reciprocals and algorithmic shortcuts.
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.
This sequence guides 6th-grade students through the conceptual and procedural aspects of calculating the volume of rectangular prisms. Starting with unit cubes and moving through fractional edge lengths and composite figures, students develop a deep understanding of 3D space measurement.
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.
This sequence builds a strong conceptual foundation for fraction division by using visual models (tape diagrams, number lines, area models) before introducing algorithms. Students explore dividing whole numbers by unit fractions and vice versa, mastering the 'how many groups' vs 'sharing' interpretations of division.
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.
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.
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.
A comprehensive 6th-grade geometry sequence exploring volume with fractional edge lengths. Students move from concrete visual modeling with unit cubes to abstract formula application and complex real-world packing problems.
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 comprehensive 6th-grade sequence on multiplying and dividing fractions. Students transition from visual area models and tape diagrams to mastering the standard reciprocal multiplication algorithm through inquiry and real-world scaling projects.
A series of inquiry-based lessons exploring the deep connection between prime factorization and decimal representations. Students move from predicting decimal types to mental conversion strategies and advanced simplification.
A comprehensive math 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 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 sequence focused on the practical application of percent error in real-world scenarios, emphasizing accuracy and relative scale.
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.
This sequence uses the Concrete-Representational-Abstract (CRA) framework to teach decimal operations through the lens of financial literacy. Students move from physical base-ten blocks representing currency to visual grid models and finally to standard algorithms for real-world budgeting.
This financial literacy sequence for 6th-grade students focuses on consumer skills, specifically unit pricing, discount evaluation, brand comparison, and hidden costs. Students apply mathematical strategies to real-world shopping scenarios, culminating in a comprehensive grocery store simulation.
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.
A comprehensive 5th-grade sequence focused on transitioning from conceptual area models and partial operations to the standard algorithms for multi-digit multiplication and division, utilizing the Concrete-Representational-Abstract (CRA) framework.
Students step into the role of supply chain coordinators to master unit conversions. They navigate customary and metric systems through the lens of warehouse logistics, international shipping, and multi-step problem solving.
Students master dimensional analysis to convert between U.S. Customary and Metric systems through an international logistics simulation. They apply these skills to length, mass, volume, and complex rates to solve real-world shipping and travel problems.
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 lesson sequence focusing on financial literacy and the practical application of percentage decrease through real-world shopping scenarios and discount calculations.
A targeted Tier 2 intervention sequence for 6th grade students focusing on understanding percents as rates per 100 and solving problems involving finding the part and the whole. The sequence utilizes a Concrete-Representational-Abstract (CRA) approach to build conceptual understanding before moving to procedural fluency.
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 sequence for 6th-grade students focusing on the conceptual and procedural links between fractions with denominators of 10 and 100 and their decimal equivalents. Students use area models and place value charts to build mastery in conversion and mathematical justification.
A comprehensive 6th-grade math sequence focusing on the formal algebraic process of solving one-step addition and subtraction equations. Students master inverse operations, vertical formatting, verification through substitution, and error analysis.
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.
A 5-day intervention sequence for 6th-grade students to master foundational concepts of rates and percentages through daily 10-minute 'power-up' activities.
A project-based sequence applying rational number operations (addition, subtraction, multiplication, division of decimals and fractions) to financial literacy. Students act as financial planners managing income, debt, interest, and stock fluctuations.
A comprehensive Tier 2 intervention sequence focused on building conceptual understanding of ratios, unit rates, and percents through visual models and real-world applications for 6th-grade students.
A small group intervention sequence focused on understanding integers through real-world opposites like elevation, temperature, and finance. Students explore the meaning of zero and how positive and negative values represent directional change.
A unit focused on mastering the number system, starting with integer basics and moving toward complex operations and coordinate planes.
