Math Foundations Adventure RPG Semester 2: The Arithmancer’s Legacy

How It Works

 

Every week follows the same three-step rhythm, designed so students arrive at the live session already prepared — and leave having demonstrated real understanding through the adventure.

 

Step 1 — Watch (Start of Week) A pre-recorded video drops at the beginning of each week. Students watch it on their own time before the live session. The video covers that week’s math concept — vocabulary, worked examples, the skill explained clearly — so the live session isn’t spent on passive lecture. Students come in ready to use what they learned.

 

Step 2 — Complete the Worksheet (Before Live Session) Each week’s worksheet is built around practicing the concept from the video. No busywork — every problem is something students will need in the live session. Worksheets are D&D themed and designed to be engaging on their own.

 

Step 3 — Play (Live Session, 85 min) The live session is where the learning gets tested — through the adventure itself. Sessions run in three parts:

 

• Warm-Up & Review (~10 min) — The DM opens with a quick review of the week’s concept. Students get a chance to ask questions, clarify anything from the video, and get their bearings in the story before the quest begins.

• The Adventure (~65 min) — The party ventures deeper into the Numerlands. Lord Dravos’s corruption has spread further — and the only way to stop it is to apply what students learned. The DM presents challenges, puzzles, and encounters that require real math to solve.

• DM Challenge (~10 min) — Each session closes with a direct challenge question worth bonus HP. Students answer individually, the DM discusses, and the group closes out the story beat for the week.

 

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Week-by-Week Curriculum

Unit 5 — Ratios, Rates & Percents

Weeks 1–5

 

Week	Topic	What Students Learn
1	Ratios	Writing ratios three ways; equivalent ratios; ratio tables; part-to-part and part-to-whole
2	Rates & Unit Rates	Calculating unit rates; comparing rates; speed, distance, and time; best-buy problems
3	Proportions	Setting up and solving proportions; cross-multiplication; scaling; map and recipe problems
4	Percents — Meaning & Conversions	Percent meaning; converting between percent, decimal, and fraction; benchmark percents
5	Percents — Applications	Finding the percent of a number; tax, tip, discount; percent increase and decrease

 

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Unit 6 — Integers

Weeks 6–8

 

Week	Topic	What Students Learn
6	Negative Numbers & Integers	The integer number line; comparing and ordering integers; absolute value; real-world negatives (temperature, elevation, debt)
7	Adding & Subtracting Integers	Sign rules for addition and subtraction; number line model; chip model; real-world applications
8	Multiplying & Dividing Integers	Sign rules for multiplication and division; why negative × negative is positive; all four integer operations

 

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⚔ Week 9 — Mid-Semester Boss Battle

The party faces Lord Dravos directly for the first time. Three combat rounds test students on ratios and proportions, percent applications, and integers. Lord Dravos is defeated but escapes — and the truth about who he really is comes to light.

 

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Unit 7 — Introduction to Algebra

Weeks 10–13

 

Week	Topic	What Students Learn
10	Variables & Expressions	What a variable represents; writing expressions from words; evaluating expressions by substitution
11	Writing & Understanding Equations	Expressions vs. equations; writing equations from situations; checking solutions by substitution
12	Solving One-Step Equations (Add & Subtract)	Inverse operations; keeping equations balanced; solving and checking; word problems
13	Solving One-Step Equations (Multiply & Divide)	Solving multiplication and division equations; connecting to fractions; word problem applications

 

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Unit 8 — Geometry & Coordinates

Weeks 14–16

 

Week	Topic	What Students Learn
14	The Coordinate Plane	Plotting and naming ordered pairs in all four quadrants; graphing patterns; finding horizontal and vertical distances
15	Area & Perimeter	Perimeter of polygons; area of rectangles, triangles, and parallelograms; compound shapes; real-world problems
16	Volume & Surface Area	Volume of rectangular prisms; counting unit cubes; surface area; nets; real-world building problems

 

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⚔ Week 17 — Year-End Final Boss

The Arithmancer’s Chamber. Lord Dravos — fully merged with the Null — stands between the party and the completion of Arithmancer Primus Calyx’s Final Working. Five seals stand in the way, each requiring a skill from a different part of the year. Break all five, complete the equation, and the Null is sealed forever.

 

This is the year-end capstone — a full review of both semesters assessed together through the final boss battle.

 

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What Students Walk Away With

By the end of Semester 2 — and the full Arithmancer’s Legacy campaign — students have covered the equivalent of a complete middle school math foundations course. Not as definitions to memorize, but as problems they have actually solved, enemies they have actually defeated, and a story they have actually lived through.

 

They will understand ratios, rates, proportions, and percents and how they connect to the fractions and decimals from Semester 1. They will be fluent with integers across all four operations. They will know how to write and solve algebraic equations — the gateway skill to every math class that follows. And they will be able to work confidently on a coordinate plane and calculate area, perimeter, and volume in real contexts.

 

They will know all of this because they needed it to win.

Pre-requisites:

Math Foundations Adventure RPG — Semester 1: The Arithmancer’s Legacy begins with number sense, fractions, and decimals. Students are encouraged to complete Semester 1 before enrolling in Semester 2, though students with a strong prior foundation may be placed directly. Contact us to discuss placement. dragonacademy.net