A 15-25 minute exploration into how ancient navigators used fixed points (the North Star) and the repeating patterns of the universe (microcosms, macrocosms, and symmetry) to navigate without modern technology.

A 15-30 minute exploration of how ancient Phoenicians used the macrocosm of the stars to navigate the microcosm of their ships, featuring the root words micro/macro/cosmos and the mathematics of rotational symmetry.

A high-energy, medical-themed 50-minute review of proportional relationships, equations, and geometry for middle school students, featuring error analysis and state-test style practice.

A middle school math lesson exploring proportional reasoning through real-world scaling, mapping, and budgeting scenarios. Students use visual models and multiple pathways to solve authentic problems.

An inquiry-based exploration of proportional reasoning through recipe scaling, map navigation, and smart shopping for grades 6-8, aligned to Massachusetts curriculum frameworks.

A comprehensive lesson on solving one-step inequalities using addition and subtraction, featuring a visual anchor chart, guided notes for instruction, and a practice worksheet with number line graphing.

Students will learn to translate verbal phrases into mathematical number sentences using the four operations and solve for unknown values in real-world contexts.

A comprehensive guide to solving quadratic equations using various factoring techniques, including GCF, difference of squares, and trinomials.

Une collection de problèmes courts et rapides pour s'échauffer et gagner des points faciles au concours Kangourou.

Focus sur les techniques d'élimination, de test de valeurs et de modélisation par le dessin pour résoudre des problèmes complexes rapidement.

A comprehensive review lesson that synthesizes all the skills learned in the Real World Math series. Students will complete a final assessment covering multi-digit operations, decimals, fractions, and percentages through a variety of workplace and financial scenarios.

Understanding the power of percentages in finance and data. Students will solve for parts, wholes, and percentages in contexts like sales tax, interest rates, discounts, and performance statistics.

Developing a strong grasp of fractions in practical contexts such as construction, cooking, and time management. This lesson covers simplifying, adding/subtracting with unlike denominators, and multiplying/dividing fractions.

Mastering decimals through the lens of currency and precise measurements. Students learn to add, subtract, multiply, and divide decimals to calculate unit prices, handle cash transactions, and interpret technical specifications.

A foundational lesson on multi-digit multiplication and division focused on workplace budgeting and large-scale inventory management. Students will practice these operations through realistic scenarios like calculating monthly revenue and distributing supplies across departments.

Teacher answer keys for the Real World Math series.

Instructional slides for the Real World Math series.

Une série d'exercices ciblés pour préparer le concours Kangourou des mathématiques, focalisée sur la visualisation spatiale et la géométrie de réflexion.

A lesson focused on solving proportions that lead to linear and quadratic equations through cross-multiplication.

Students practice solving rational equations by applying cross-multiplication to proportions. The lesson focuses on setting up the equation, distributing correctly, and isolating the variable.

A comprehensive lesson on multiplying polynomials, focusing exclusively on the Box Method (Area Model) and utilizing Desmos Quadratic Regression as a robust verification and fallback strategy for high-stakes testing.

A comprehensive 90-minute math lesson focused on generating and identifying equivalent expressions using properties of operations and substitution. It includes differentiated materials for advanced and scaffolded learners, plus a hands-on building project.