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 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.

A collection of 4th-grade Illustrative Mathematics center planning resources, including a visual reference and a CSV data export.

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

A collection of ocean-themed math activities focused on counting, identifying numbers 1-20, and developing one-to-one correspondence through task cards and a matching game.

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.

Extends number sense to 100, emphasizing place value (tens and ones), magnitude comparison, and identifying patterns in the 100-chart.

Develops the ability to compose and decompose numbers within 20, focusing on the power of 10 and building basic addition/subtraction fact fluency.

Focuses on identifying numbers to 20, mastering 1:1 correspondence through physical and visual counting, and developing perceptual subitizing skills.

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 3-digit by 1-digit division using the standard algorithm, themed around a detective investigation. includes a lesson plan, slides, anchor chart, and tiered worksheets.

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.

Master the art of solving real-world rational function equations, focusing on clinical drug concentration models and rate-based applications. Students will learn to translate verbal scenarios into rational equations and apply algebraic techniques to find precise solutions.

A student-centered lesson on adding and subtracting polynomials of degree one and degree two, designed for self-paced mastery.

A collection of teacher-facing tools including scoring keys, result interpretation guides, and class-wide data tracking charts to help educators act on diagnostic findings.

A diagnostic assessment for 5th-grade students focusing on decimal operations, powers of 10, multi-digit division, and adding/subtracting fractions with unlike denominators.

A diagnostic assessment for 4th-grade students targeting multi-digit multiplication and division, place value to 1,000,000, fraction equivalence, and basic decimal notation.

A diagnostic assessment for 3rd-grade students covering rounding, multi-digit addition/subtraction, multiplication and division concepts, and introductory fraction understanding.

A diagnostic assessment for 2nd-grade students focusing on place value to 1,000, addition and subtraction within 100, and early foundations of multiplication through arrays.

A comprehensive lesson on simplifying square roots using the product property, focusing on identifying perfect square factors and reducing radicals to their simplest form.