Number Operations

Un programme d'entraînement complet pour le concours Kangourou (niveau 4ème), couvrant la géométrie, la logique pure et les stratégies de résolution rapide.

Une séquence de 8 séances conçue pour préparer les élèves de 4ème au concours Kangourou des Mathématiques, mettant l'accent sur la logique, la géométrie et le raisonnement, avec une séance finale innovante pour une inspection.

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 comprehensive 3-day review sequence for the Algebra I Regents examination, focusing on foundations, systems, and polynomial operations. Each 75-minute lesson provides a balance of guided instruction and independent practice with problems modeled after the NYS Interim Assessment.

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 Tier 2 intervention sequence focused on mastering integer exponent rules through pattern discovery, expanded form visualization, and scaffolded practice for Grade 8 students.

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 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 specialized unit on advanced exponent rules, focusing on simplifying complex algebraic expressions involving fractions and negative powers.

A remedial math sequence focused on clarifying misconceptions between integer addition and multiplication rules through conceptual visualization and active sorting.

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 targeted remediation sequence focused on identifying, analyzing, and correcting high-frequency algebra errors in polynomial operations.

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.

A sequence focused on algebraic substitution in linear equations, moving from basic coordinate completion to complex variable isolation and graphing.

Un programme d'entraînement complet pour le concours Kangourou (niveau 4ème), couvrant la géométrie, la logique pure et les stratégies de résolution rapide.

A comprehensive 3-day review sequence for the Algebra I Regents examination, focusing on foundations, systems, and polynomial operations. Each 75-minute lesson provides a balance of guided instruction and independent practice with problems modeled after the NYS Interim Assessment.

A Tier 2 intervention unit focused on distinguishing between rational and irrational numbers through pattern recognition and algebraic conversion. Students explore decimal expansions, long division models, and number line placement to master Colorado standard 8.NS.A.1.

A specialized intervention sequence designed for Grade 8 students to build a conceptual foundation in the real number system, focusing on the distinction between rational (repeating/terminating) and irrational numbers using CRA methods.

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 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.

A comprehensive lesson for 8th-grade math students to distinguish between arithmetic and geometric sequences through interactive sorting and video-based analysis.

A lesson sequence focused on the critical thinking skills required to verify mathematical patterns, using geometric sequences as the primary vehicle for exploration. Students learn that initial data points can be deceptive and that rigorous verification is essential for mathematical proof and real-world predictions.

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 introduces students to arithmetic and geometric sequences, moving from visual patterns to formal algebraic formulas. Students explore the connections between sequences and linear or exponential functions, analyze complex non-standard patterns, and apply their knowledge in a culminating mastery assessment.

An inquiry-based exploration of systems of equations using graphing and visual inspection. Students progress from comparing tables to graphing lines and identifying special cases like parallel and coinciding lines.

An inquiry-based exploration of additive vs. multiplicative growth, moving from a classic penny-doubling dilemma to formal identification of linear and exponential functions using tables and graphs.

Students move from concrete visual patterns to abstract formulas, exploring arithmetic and geometric growth. They learn to translate sequences into recursive and explicit function rules.

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 project-based unit where 8th-grade students act as data analysts, moving from real-world data collection to constructing linear models and making evidence-based predictions using interpolation and extrapolation.

This 8th-grade math sequence guides students through the process of interpreting linear models in bivariate data. They move from identifying basic associations to constructing lines of best fit, deriving equations, and translating the algebraic components (slope and y-intercept) into meaningful real-world descriptions.

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 8th-grade geometry sequence focusing on the algebraic notation of geometric transformations. Students transition from visual graphing to using coordinate rules like (x, y) -> (x+a, y+b) to predict the position of images.

A high school statistics sequence investigating economic disparity through measures of spread (Range, IQR, MAD), emphasizing how variability reveals truths hidden by averages.

This high school mathematics sequence guides students from the decimal representation of rational and irrational numbers through the formal logic of proof by contradiction, culminating in the classic proof of the irrationality of the square root of 2 and the exploration of closure properties in the real number system.

Un programme d'entraînement complet pour le concours Kangourou (niveau 4ème), couvrant la géométrie, la logique pure et les stratégies de résolution rapide.

Une séquence de 8 séances conçue pour préparer les élèves de 4ème au concours Kangourou des Mathématiques, mettant l'accent sur la logique, la géométrie et le raisonnement, avec une séance finale innovante pour une inspection.

A Tier 2 intervention unit focused on distinguishing between rational and irrational numbers through pattern recognition and algebraic conversion. Students explore decimal expansions, long division models, and number line placement to master Colorado standard 8.NS.A.1.

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 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.

A comprehensive lesson for 8th-grade math students to distinguish between arithmetic and geometric sequences through interactive sorting and video-based analysis.

A lesson sequence focused on the critical thinking skills required to verify mathematical patterns, using geometric sequences as the primary vehicle for exploration. Students learn that initial data points can be deceptive and that rigorous verification is essential for mathematical proof and real-world predictions.

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.

This sequence introduces students to arithmetic and geometric sequences, moving from visual patterns to formal algebraic formulas. Students explore the connections between sequences and linear or exponential functions, analyze complex non-standard patterns, and apply their knowledge in a culminating mastery assessment.

An inquiry-based exploration of systems of equations using graphing and visual inspection. Students progress from comparing tables to graphing lines and identifying special cases like parallel and coinciding lines.

An inquiry-based exploration of additive vs. multiplicative growth, moving from a classic penny-doubling dilemma to formal identification of linear and exponential functions using tables and graphs.

Students move from concrete visual patterns to abstract formulas, exploring arithmetic and geometric growth. They learn to translate sequences into recursive and explicit function rules.

A project-based unit where 8th-grade students act as data analysts, moving from real-world data collection to constructing linear models and making evidence-based predictions using interpolation and extrapolation.

This 8th-grade math sequence guides students through the process of interpreting linear models in bivariate data. They move from identifying basic associations to constructing lines of best fit, deriving equations, and translating the algebraic components (slope and y-intercept) into meaningful real-world descriptions.

This sequence guides students through the algebraic methods for solving exponential equations, from the foundational skill of base rewriting to the introduction and application of logarithms. Students build structural recognition to handle both matchable and non-matchable bases.

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 deep dive into the mathematical mechanics of money. Students move from basic interest calculations to understanding the exponential power of compound interest, the impact of inflation, and the massive advantage of starting early.

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 high school statistics sequence investigating economic disparity through measures of spread (Range, IQR, MAD), emphasizing how variability reveals truths hidden by averages.