An investigation into primitive roots of unity and the factorization of x^n - 1 into irreducible cyclotomic polynomials.
A comprehensive review of exponential growth, decay, and compound interest through real-world scenarios. Students practice applying discrete and continuous formulas to predict future values.
A lesson focused on understanding and applying z-scores to compare values from different normal distributions and interpret real-world statistical data.
A lesson focused on calculating and interpreting z-scores within the context of normal distributions, featuring real-world data from ecology to education.
A focused lesson on the binomial distribution, covering the BINS criteria, identifying parameters, and calculating probabilities using digital spreadsheet tools.
A comprehensive guide to analyzing and graphing rational functions, covering all key features from asymptotes to holes.
A project-based lesson on performing linear regression analysis using United Nations population and surface area data to test socio-economic theories.
A comprehensive lesson covering probability basics, counting principles, and the binomial distribution, concluding with a summative 30-question mastery exam.
A comprehensive examination combining elementary probability theory, counting principles, and binomial distribution problems into a single rigorous assessment.
A lesson focused on solving word problems using the binomial probability distribution formula, featuring real-world scenarios and step-by-step calculations.
A comprehensive lesson covering counting techniques, permutations, combinations, and basic probability distributions based on statistical principles.
A lesson covering fundamental counting techniques, random variable classification, and probability distributions based on statistical principles.
A comprehensive lesson on elementary probability theory covering valid probability ranges, compound events, independent and dependent outcomes, and tree diagrams based on textbook problems.
A lesson focused on understanding and calculating inverse functions through multiple representations: numerical tables, algebraic equations, and graphical reflections. Students will practice reversing operations and reflecting functions across the line y=x.
A comprehensive assessment covering discrete random variables, permutations, combinations, and the binomial probability distribution based on real-world statistical data.
A comprehensive practice set and review presentation for the TSIA2 Math exam, covering Quantitative, Algebraic, Geometric, and Statistical reasoning.
A comprehensive preparation set for the TSIA2 Mathematics assessment, featuring a full-length practice test, detailed step-by-step solutions, and a strategic review presentation.
A lesson focused on applying binomial distribution concepts to real-world scenarios through a creative coloring activity. Students translate narrative word problems into mathematical models to calculate probabilities, means, and variances.
The final week of the TSIA2 Math Marathon, reviewing complex problems and multi-step reasoning.
The second week of the TSIA2 Math Marathon, expanding into geometric and statistical reasoning.
The first week of the TSIA2 Math Marathon, focusing on foundational algebraic and quantitative reasoning.
Master complex fractions and high-precision decimal operations through the lens of algebraic manipulation and real-world mathematical modeling.
Explore the architecture of rational numbers, focusing on the rigorous conversion between fractions and decimals and the proof-based patterns of repeating digits.
A series of focused assessments to verify student mastery of polar coordinate plotting, conversion, graphing special curves, and representing complex numbers in polar form.
