Shifting Shapes

A comprehensive two-day high school geometry sequence focusing on the foundations of spatial geometry: points, lines, planes, segments, and rays. Students master rigorous mathematical notation, identify real-world physical models, investigate undefined terms and dimensions, and perform detailed error analysis.

A mathematical exploration of social choice theory where students analyze a single preference schedule under different voting methods—specifically comparing Plurality, Top-Two Runoff, and Sequential Runoff (Instant Runoff Voting) to discover how a single electorate can produce multiple distinct winners.

A 3-page teacher answer key matching the Ballot Battleground Worksheet. It contains completed calculations, step-by-step vote redistributions for the top-two runoff and sequential runoff (IRV), and clear pedagogical explanations of the electoral paradoxes.

A comprehensive 3-week business mathematics unit focused on real-world compensation structures, payroll systems, and digital spreadsheet modeling. Students learn to calculate straight-time, overtime, piecework, salary, and commission while building a functional business payroll sheet.

A comprehensive pre-test assessment and detailed step-by-step teacher answer key covering core business math calculations. Topics include percentages, straight-time pay, overtime pay, piecework, time cards, salaries, and commission in real-world payroll scenarios.

A 3-page practice worksheet with scaffolding guiding students to analyze a 5-candidate preference schedule, with voter counts located in a dedicated row at the bottom of the schedule. Students will calculate the election outcomes under Plurality, Top-Two Runoff, and Sequential Runoff (IRV) to discover how different rules produce three distinct winners.

A three-day high school mathematics icebreaker sequence designed to reduce math anxiety, build collaborative relationships, and introduce short-form video storyboarding through data collection, interactive logic puzzles, and personal reflection.

A structured lesson on evaluating algebraic expressions, moving from single-variable positive substitution to multi-variable negative integers, complex PEMDAS with fractions and absolute values, and real-world formula applications.

A student-facing 1-page printable syllabus quiz for high school Business Math at F.J. Reitz High School. It assesses comprehension of course policies, grading breakdowns (assessments 70%), binder setups, the Indiana SB 185 cell phone law, and project due dates.

A highly visual, scaffolded mathematics progression spanning foundational visual fractions through modified quadratic models. Designed for middle school students needing concrete graphic organizers, functional real-world connections, and simplified numbers.

Day 2 of the Dimension Architects sequence. Students transition from infinite structures to finite segments and directional rays, master rigorous notation, and identify and correct common notation misconceptions.

A detailed, step-by-step teacher answer key for the Payroll Power Pretest. Matches the student pretest page-for-page and layout-for-layout, showing fully calculated solutions, formulas, intermediate figures, and final answers styled in a high-contrast teacher-only color scheme.