This sequence explores compound probability through the lens of engineering reliability. Students learn to model series and parallel systems, analyze hybrid structures, and account for dependent failures in complex risk environments.
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 comprehensive 12-lesson Tier 2 intervention sequence focused on 6th-grade ratio and proportion standards. Using High Leverage Concept strategies from the All Learners Network, this sequence moves from basic ratio language to complex unit rate and percent problems using visual models like tape diagrams and ratio tables.
A 12-lesson intervention sequence focused on numeral identification, forward/backward sequences, and number lines for 1st-grade Tier 2 support, utilizing High Leverage Concepts from All Learners Network.
Une introduction complète aux statistiques universitaires, couvrant la classification des données, les mesures descriptives, la visualisation et les fondements de la loi normale. L'approche est axée sur l'analyse de données réelles et la compréhension conceptuelle.
A sequence of lessons helping 4th-grade students with autism master division word problems through structured visual supports and familiar daily scenarios at school and in the community.
A lesson sequence focusing on the algebraic and graphical properties of radical equations, bridging the gap between symbolic manipulation and visual intersection points.
A series of higher-level mathematics lessons exploring calculus foundations through engaging, thematic activities and visual demonstrations.
A specialized unit focused on identifying and correcting algebraic misconceptions in function transformations, specifically reflections. Students develop critical analysis skills by acting as "Error Doctors" to diagnose and treat common mathematical pitfalls.
A lesson sequence focusing on the transition from expanded ellipsis notation to formal Sigma notation within the context of arithmetic series proofs. Students analyze a standard proof and reformulate it using summation properties.
A Pre-Algebra unit focused on understanding the nature of linear equations and their solutions. Students explore how the structure of an equation determines whether it has one, none, or infinite solutions, connecting algebraic results to geometric representations.
A math remediation sequence for 3rd and 4th graders focused on place value concepts, specifically periods (units and thousands) and the structural role of commas in large numbers.
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 high-level Honors Algebra lesson focused on complex recursive sequences where students analyze notation, explore the Fibonacci sequence, and engage in a 'Sequence Maker' activity to reverse-engineer formulas.
This 8th Grade Math sequence explores the properties of triangles, focusing on the Triangle Angle Sum Theorem and its applications in algebraic problem-solving. Students progress from hands-on measurement to complex multi-step relay challenges.
A specialized unit exploring the geometric properties of slope, connecting algebraic rates of change to trigonometric functions and the geometry of inclination.
A remedial math sequence focused on clarifying misconceptions between integer addition and multiplication rules through conceptual visualization and active sorting.
An 11th-grade mathematics sequence focused on analyzing linear-quadratic systems through algebraic and geometric lenses, specifically utilizing the discriminant to predict intersection counts.
A comprehensive math lesson for 5th graders focused on adding mixed numbers with regrouping, themed around baking a 'Giant Cookie' for a bakery. Includes visual instruction via video, hands-on recipe calculation, and reflection.
A lesson sequence focusing on financial literacy and the practical application of percentage decrease through real-world shopping scenarios and discount calculations.
A high school geometry and algebra sequence focused on applying 3D geometry formulas to real-world optimization problems, specifically focusing on cones.
A comprehensive pre-calculus unit focused on the algebraic and geometric properties of inverse functions, including composition-based verification and domain restrictions.
A foundational sequence for 11th Grade Pre-Calculus focusing on the essential building blocks of functions, their graphs, and their behavior. Students develop the ability to recognize, sketch, and analyze parent functions which serves as the basis for all future transformation and modeling work.
A unit focusing on algebraic foundations, moving from basic definitions of variables to solving multi-step equations and real-world applications.
A unit focused on mastering polynomial operations, from long division to advanced shortcuts like the Remainder and Factor Theorems. Students move from laborious calculation to strategic evaluation.
A comprehensive sequence focused on mastering mixed number operations through visual modeling, hands-on manipulatives, and algorithmic fluency.
A middle school mathematics unit focused on proportional reasoning, ratio analysis, and multi-representation of numerical relationships.
A unit focused on mastering the number system, starting with integer basics and moving toward complex operations and coordinate planes.
A lesson on rationalizing binomial denominators using complex conjugates for 11th Grade Pre-Calculus students. The sequence focuses on the algebraic logic behind conjugates and their relationship to the difference of squares.
A remedial math sequence focused on mastering inequalities and negative numbers on a number line through visual and kinesthetic learning.
A professional development sequence designed to bridge the gap between traditional and modern math instruction for parents and guardians. This sequence focuses on visual strategies like prime factorization and factor trees to build deep conceptual understanding and algebraic thinking.
A series of parent engagement workshops designed to bridge the gap between classroom instruction and home support for early elementary mathematics. Each session focuses on a specific conceptual strategy to empower parents as learning partners.
A comprehensive lesson sequence for Undergraduate College Algebra focused on synthesizing and selecting the most efficient strategies for solving exponential equations, utilizing common bases, logarithms, and quadratic forms.
A short sequence introducing 2nd-grade students to the concept of estimation and rounding, focusing on when to use approximate numbers versus exact ones.
A comprehensive lesson sequence for 12th Grade Pre-Calculus/Calculus students on solving and visualizing systems of nonlinear equations involving conic sections. Students move from sketching predictions to algebraic verification and creative system design.
A series of lessons focused on geometry and spatial reasoning, where students explore the properties of 2D shapes, symmetry, and patterns.
A lesson sequence focusing on analyzing and manipulating exponential functions to reveal true growth rates, using real-world financial contexts and exponent rules.
A comprehensive unit exploring circle geometry, vocabulary, arcs, angles, and properties through visual and hands-on investigation.
A scaffolded sequence for 10th-grade academic support, focusing on using two-color counters and algebra tiles to master integer operations and transition to algebraic reasoning. This sequence moves from concrete manipulation to representational drawing and finally to abstract procedural fluency.
A mastery-based sequence using base-ten blocks and area models to build conceptual understanding of multi-digit multiplication and division for high school students. This sequence bridges the gap between concrete manipulatives and abstract algorithms through the visual scaffold of area.
A specialized math sequence for 11th-grade students focusing on practical fraction operations and ratios through the lens of construction and design. Students move from basic measurement precision to complex scaling tasks using physical manipulatives like tape measures and Cuisenaire rods.
A sequence designed for 11th-grade academic support students to master integer operations and linear equations using two-color counters and algebra tiles. This tactile approach builds conceptual understanding through zero pairs and balance models, eventually transitioning students to abstract algebraic notation.
A specialized math sequence for 9th-grade academic support, focusing on fraction mastery through concrete manipulatives and visual models. It follows the CRA framework to bridge gaps in foundational understanding for high school success.
A specialized sequence for 12th-grade students focusing on math manipulative use and visual modeling to master multi-digit multiplication and division. Students progress from concrete base-ten blocks to representational area models, ending with strategy efficiency and real-world application.
A math sequence for 12th-grade students in special education, focusing on practical fraction mastery through measurement, construction, and home maintenance scenarios. Students use manipulatives like fraction tiles and rulers to build conceptual understanding and operational fluency.
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 5-lesson sequence designed to help 5th-grade students master fraction operations through concrete manipulatives. Students move from physical towers to abstract algorithms, building a deep conceptual understanding of why common denominators are essential for addition and subtraction.
A 7th-grade math support sequence focusing on proportional reasoning through the use of counters and tape diagrams. This tactile-to-visual approach helps students bridge the gap between physical grouping and abstract multiplicative thinking.
This 8th-grade sequence focuses on fundamental math fluency using manipulatives. Students redefine base-10 blocks for decimals, engage in regrouping simulations, visualize division, and perform error analysis to solidify their understanding of place value and operations.