A collection of challenging math problems focusing on number theory, geometry, combinatorics, and algebra, designed for middle school students preparing for GAIM and similar math competitions.
A comprehensive lesson focusing on constructing linear and exponential models and analyzing function transformations. Students will compare function families and evaluate how parameters shift and stretch graphs.
A lesson on understanding and graphing inequalities with negative numbers using the real-world context of temperature and thermometers. Students will master the 'flip the sign' rule when multiplying or dividing by negatives.
A visual-heavy lesson introducing 6th graders to adding and subtracting integers using thermometers, number lines, and integer chips. Students explore movement and zero pairs to master signed number operations.
A comprehensive practice session covering prime factorization, percentage conversions, multi-digit operations with regrouping, basic integers, and word problems with built-in scaffolding and visual aids.
Students will review basic addition and subtraction facts and learn the step-by-step procedures for regrouping in multi-digit problems.
A concise review lesson connecting the concepts of division as equal groups and fractions as equal parts of a whole, including numerator and denominator definitions.
This lesson focuses on solving equal group problems involving decimals, specifically dividing decimals by decimals in real-world money contexts. Students will learn how to shift the decimal point to create whole-number divisors and apply these skills to marketplace scenarios.
An introductory lesson on combining like terms designed for special education students, focusing on visual coding, shape-sorting strategies, and step-by-step guided practice.
Applying the mean to animal data sets, exploring how averages help scientists understand the natural world.
An introduction to the concept of averages using sports statistics, focusing on the 'add then divide' algorithm.
A lesson focused on identifying like terms and simplifying algebraic expressions through the lens of a high-tech 'Term Terminator' mission. Students will learn to group terms by variable and exponent to clean up cluttered code.