SUPPLEMENTAL MATH | GRADE 6 - CALCULUS III
The platform that makes great math teaching scalable.
Derivita extends what your best math teachers already do — asking rigorous questions, understanding student thinking, delivering real feedback — automatically, for every student, every day.
✓ 150K expert-authored questions with millions of variations
✓ Seamless LMS integration reduces training and support
✓ Tools for students, teachers, schools, PLCs and districts
0%
Percentile point gains when students answer one more Derivita question daily.
85%
vs. ~10% market average.
110%
THE PROBLEMS WE SOLVE
Great math teachers are invaluable. But even the best ones can't be everywhere at once.
Every math teacher faces the same ceiling: there simply aren’t enough hours in the day to create rigorous practice, respond to each student when they need help, and grade questions that often have more than one correct answer. Derivita solve this—enabling every teacher to provide every student the high-quality math support they deserve.
PROBLEM 1
Creating enough high-quality problems for practice to mastery takes hours
Mastery requires repeated, deliberate practice — but most platforms default to simplified question types because that's all they can grade. Writing rigorous, open-ended problems with enough variations for every student takes time no teacher has.
PROBLEM 2
Students need feedback right when they need it
A student working through a problem during class or independent practice can't wait for teacher feedback. Delayed feedback breaks the learning loop — and no teacher can respond to every student in the moment.
PROBLEM 3
Questions that reveal mathematical reasoning can't be auto-graded — by other platforms
Derivita is built to grade them — accepting multiple solution paths, any mathematically equivalent response, and delivering feedback tied to what the student actually wrote.
THE DERIVITA DIFFERENCE
Most K-12 math platforms are built around the questions they can easily grade — not the ones students need.
Too often, math instruction is shaped by what digital products can easily score, rather than by how students actually learn math. This leads to simplified questions, constrained responses, and practice that rewards answer guessins more than mathematical thinking. The result is a weaker picture of student understanding and less useful insight for teachers.
Derivita changes that. Its proprietary math engine—a Computer Algebra System built for teaching not just grading—generates meaningful variations for practice, interprets student responses as they are written, recognizes mathematically valid equivalents, delivers feedback tied to each answer, and grades even open-ended responses.
Here's what sets the Derivita Math Engine apart from other math products: |
|
|---|---|
| Math Engine Capability | What It Means for Learning |
| Algebraic equivalence evaluation | Accepts any mathematically correct form of an answer — not just the one the teacher wrote |
| Multiple valid solution paths | Students can show their thinking their way — and still get credit |
| Millions of problem variations | Every student gets a unique version of every problem — eliminating copying, enabling personalization |
| Automatic grading of open-ended responses | Complex, multi-step problems graded instantly — without teacher burden |
| Targeted, immediate feedback | Students know not just that they're wrong, but why — and what to do next |
Example 1 — Equivalent expressions
Question: Write an equation of a line parallel to y = 2x.
Most K-12 platforms
Point-slope form is mathematically correct — but the platform only accepts slope-intercept. Students learn to format answers, not understand math. The teacher sees a wrong answer that isn't wrong.
"Incorrect. Please try again."
Derivita
Our CAS evaluates mathematical equivalence — any valid form is accepted. Students answer in the language of math, not the language of our input box.
Correct — your equation has slope 2 and a different y-intercept than the original. That's what parallel means.
Example 2 — Open-ended with multiple valid answers
Question: Write any quadratic function with roots at x = 2 and x = −3.
Most K-12 platforms
This question cannot be asked. The platform has no way to grade an open-ended response with infinite valid answers. So it isn't asked — ever. Students never practice this type of thinking.
Not available. Try a multiple choice or numeric answer question instead.
Derivita
All three are correct — and our engine knows it. Every mathematically valid quadratic with those roots is accepted, in any form.
Correct — your function has roots at x = 2 and x = −3. Notice that scaling by any constant preserves the roots.
Example 3 — Feedback that responds to the student, not just the answer
Question: Simplify: (3x²)(4x³)
Most K-12 platforms
"Incorrect. The correct answer is 12x⁵."
Both wrong answers get the same response. The student who added exponents instead of multiplying gets identical feedback to the one who got the coefficient wrong. No one learns why.
Derivita
For 7x⁶: Your coefficients were added instead of multiplied, and the exponents were also added — check both operations.
For 12x⁶: Your coefficients are right — but when multiplying terms with the same base, exponents are added, not multiplied.
Different errors, different feedback. Every response gets a reply that addresses what that student actually did — not a generic redirect to the answer key.
THE THEORY OF ACTION BEHIND THE RESULTS
The formative feedback loop that turns productive struggle into authentic mastery.
Mastery requires three things: productive struggle, formative feedback, and deliberate practice. Great teachers have always known this. Derivita makes it available to every student — automatically, at scale, whether during class, intervention, or independent practice.
High-quality question
150,000+ questions written by in-house math, assessment, and curriculum experts.
Student attempts
Types a response in the language of math. No multiple choice. No guessing.
Engine understands
CAS reads what they actually wrote — not just whether it matches an answer key.
Targeted feedback
A response to exactly what they entered and where their thinking broke down.
Worked solution + retry
Full step-by-step solution. Then a regenerated problem to prove they've got it.
↩ Regenerated question returns student to step 2 — deliberate practice with real feedback, every time
THIRD-PARTY VALIDATION
Don't take our word for it.
What a third-party 2026 ESSA Level III study indicated was each additional Derivita question answered per day, an average student would be expected to perform 13 percentile points better on the Derivita math assessment.
Meaning a student at the 50th percentile who answered just one additional Derivita question per day would be expected to perform at the 63rd percentile, a 13-point gain (effect size b = 0.34; p < .001).
SUPPORTS EVERY LEVEL OF INSTRUCTION
Built for your whole district, not just the classroom.
Derivita streamlines and connects student, teacher, school, PLC, and district tools, content, and data—each question delivered becoming a data point that informs instruction and decision-making at every level, improving math outcomes at scale.
STUDENT ENGAGEMENT
Questions spark student engagement
Turn daily math work into deeper understanding. Students engage with high-quality questions that spark curiosity, provide unlimited practice, and deliver targeted feedback that supports real learning.
TEACHER IMPACT
Teachers save time and know where to focus
Save time without sacrificing rigor. Millions of dynamic question variations provide targeted feedback and auto-grade even complex responses—freeing teachers to focus attention where it matters most.
PLC COLLABORATION
PLCs align instruction and assessment
Collaborate on common assessments and align instruction across classrooms. Automated PLC reports reveal mastery patterns, helping teams compare results, identify gaps, and adjust instruction where it will have the greatest impact.
DISTRICT-WIDE INSIGHTS
District insights inform strategic improvement
Turn daily classroom activity into district-level insight. Leaders gain real-time visibility into instruction, assessment, and performance—enabling smarter decisions and improved math outcomes at scale.
CURRICULUM AGNOSTIC
Supplements the curriculum
you already chose.
Derivita doesn't ask you to change your core curriculum. It amplifies it!
Most districts have spent years selecting the right core curriculum.
The last thing they need is a math tool that fights against it or requires reteaching in a different system.
Derivita aligns directly to the curricula and standards your teachers already know, so adoption is fast, content is familiar, and instructional coherence stays intact.
CURRICULUM ALIGNEMENTS
STANDARDS ALIGNMENTS
SEAMLESS INTEGRATION WITH ANY LMS
No new logins. No new workflows. Just better math.
Derivita was co-founded by Devlin Daley, creator of Canvas—the world’s most widely used learning management system—so the platform was designed from the start to work seamlessly within LMS environments for maximum scaling.
✓ Reduced training and support, and increased use and impact
✓ Improved ROI on your existing LMS; keeps it at the center of instruction
✓ Consolidates the tools needed to support your math program
STEP 1
We coordinate the LMS setup — so you don't have to
Your dedicated Derivita rep works directly with your LMS administrator to activate Derivita. You don't inherit a project. We handle it, and walk your team through onboarding so everyone starts with confidence.
No IT project management required.
STEP 2
Teachers assign, students practice — inside the LMS they already use
Teachers and students access Derivita from the LMS experience they already know. Derivita regenerates questions, provides students feedback as they practice, and auto-grades everything.
No new accounts or passwords.
STEP 3
You see the district-wide picture — in real time
Data aggregates instantly across students, teachers, classrooms, PLCs, and schools. Leaders get the visibility needed to align instruction, and surface learning gaps. When it matters.
Student to district in one dashboard.
Derivita seamlessly integrates with any LMS
We support districts just like yours
