2026-27 Course Syllabus

Applied Quantitative Reasoning

Real Math. Real Decisions. Real Life.

InstructorMr. Gayhart
CourseAQR
CreditMathematics / Fourth-Year Math Option
Back to Course Overview

What Is AQR?

Applied Quantitative Reasoning is a project-based math class built around real decisions, real data, real tools, and real communication.

This class will not look exactly like a traditional math class. You will still work with numbers, data, graphs, models, percentages, rates, probability, statistics, and mathematical reasoning—but you will usually use them to solve problems, build useful things, analyze information, and make decisions.

You will be expected to explain your thinking, use evidence, revise your work, and decide whether an answer actually makes sense.

The goal is not just to get answers. The goal is to think better with numbers.

What We Will Do

Quarter 1 — Know Yourself

Build a learner profile and a personalized learning-support system. Investigate how you learn, work, communicate, use technology, and respond to different kinds of support; then use that evidence to build and test a personalized AI-supported learning tool or workflow.

Quarter 2 — Track Yourself

Compare estimates with evidence, track a manageable question, and use Google Forms and Sheets when useful to organize, display, and interpret real data. Examine sampling, bias, measurement, correlation, and causation, then use the evidence to defend a practical next step.

Quarter 3 — Build a Decision Tool

Build something that helps a real person make a real decision. Compare choices, identify criteria, examine costs and risks, make assumptions visible, test your logic, and revise based on evidence.

Quarter 4 — Don’t Get Played

Learn to question numbers, graphs, claims, and evidence. Analyze misleading graphs, statistics, media claims, AI outputs, samples, sources, and arguments. Main question: What should a reasonable person actually believe?

What Class Usually Looks Like

  • a short opener or thinking challenge
  • a brief lesson, demonstration, or example
  • a large block of project/work time
  • individual or small-group help
  • a Learning Catcher or another check of progress
  • a short reflection or next-step check
AQR is designed around doing the work in class. Use that time.

How You Are Graded

Project / Summative — 45%

Major project checkpoints, evidence, explanations, and demonstrations of learning.

Formative — 15%

Short checks of reasoning, interpretation, assumptions, limitations, and understanding.

Catchers / Classwork — 40%

Learning Catchers and related classwork show follow-through, organization, evidence, appropriate support use, and recovery within announced windows.

Grading Scale

ABCDF
90–100%80–89%70–79%60–69%Below 60%

The Important Part

You do not have to be perfect to succeed in AQR. You do have to keep producing evidence of real work. Partial but real work is much better than disappearing and submitting nothing. Revision matters. Progress matters. Showing your thinking matters.

Math Graduation Menu of Options and Credit Recovery

Mathematics graduation competency

For 2026–27, AQR performance assessments are approved for the district Mathematics Menu of Options graduation competency requirement. A C (70%) or higher on the approved performance task qualifies when the performance-task grade is recorded separately in Infinite Campus. This is different from earning math course credit; a course grade by itself is not the Menu of Options record.

Q1 credit recovery

Students who did not pass Q1 have an independent recovery pathway. Successful recovery requires a live teacher Final Check and is capped at a D. It does not automatically satisfy the C-level Menu of Options performance-task requirement.

Current AQR students: Open Google Classroom → Classwork → Credit Recovery, then AQR Q1 Recovery - Student Start Here. Follow the posted steps and deadline; the Gem Directory is also posted near the top of Classroom. Ask your counselor or teacher about eligibility and timing.

Learning Catchers and Recovery

A Learning Catcher is an honest snapshot of your current work. Show real evidence, use Not Yet when work is incomplete, and explain what you will do next. If you claim work is finished, you should be able to open it and show it.

For Q1, the strongest five of nine Catchers count. For Q2, the strongest five of eight Catcher opportunities count. Follow each assignment's announced revision or recovery window; not every missing assignment stays open until quarter's end.

AI and Technology

Technology is part of this course. We will use tools such as Gemini, Google Drive, Google Docs, Google Sheets, Google Forms, Google Slides, Google Calendar, and other approved tools when they are useful.

AI is allowed and often expected when the assignment calls for it.

The tool is not the thinking.

AI can help you understand directions, ask questions, brainstorm, get examples, organize ideas, revise work, troubleshoot, and test your thinking. AI cannot replace your responsibility to understand, verify, explain, and defend what you submit.

If your name is on the work, you own the final answer.

School Policies

Phones and Tardies

AQR follows school policy for phones and tardies.

Attendance

Being here matters because much of AQR happens through in-class project work, demonstrations, discussions, collaboration, and checkpoints.

If you arrive late, get into the current work as quickly and quietly as possible. Use the posted class materials and Daily Brief to figure out what is happening rather than stopping the class.

If you miss class, check the class materials and Daily Brief, find out what you missed, complete or repair the important work, and ask for help if you still need it.

What I Expect From You

  • Do real work.
  • Use class time.
  • Keep your files where you can find them.
  • Ask for help when you need it.
  • Explain your reasoning.
  • Use evidence.
  • Be willing to revise.
  • Treat other people seriously.
  • Let other people think and speak.
  • Do not pretend to understand when you do not.
  • Do not disappear when you get behind.
Getting stuck is normal. Doing nothing about it is the problem.

Late Work and Revision

AQR is built around progress and revision. If work is incomplete or weak, the normal response is usually: fix it, improve it, or show better evidence.

Revision matters, but retakes and recovery are bounded by each assignment's published rules. Do not assume an unfinished task remains open until the end of the quarter.

Do not wait until the end of the quarter to start caring about missing work.

The easiest way to pass this class is boring: show up, do something real every week, keep your evidence, and revise when needed.

Getting Help

Start with the current Slides, Daily Brief, Classroom directions, and examples. Use the appropriate Help Gem or support tool, ask peers, and ask Mr. Gayhart when those resources do not resolve the problem. After an absence, use these materials to rejoin the current work rather than waiting for an individual replay of the lesson.

Materials

Bring your school Chromebook every day and keep it charged. You will also need access to your school Google account and your AQR Drive materials. Most other materials will be provided.

What Success Looks Like

By the end of AQR, you should be better able to:

  • make decisions using evidence
  • understand and question data
  • create and interpret graphs and tables
  • recognize misleading claims
  • use spreadsheets and digital tools
  • use AI intelligently instead of blindly
  • identify assumptions and tradeoffs
  • explain your reasoning clearly
  • test and revise something you built
  • decide when a number, graph, claim, or recommendation actually makes sense

AQR is not about memorizing more math just because someone says you should. It is about learning to use mathematics to understand things, build things, question things, and make better decisions.

Real Math. Real Decisions. Real Life.