Transparent Demo Evidence

Sample learning traces before real classroom data exists

MathRoutine is pre-launch, so these are not real student outcome claims. They are fictional, expert-designed scenarios that show the kind of diagnosis, scaffold, and next-practice decision the product is built to produce.

Important disclosure

These traces are representative examples for product demonstration and QA. They do not represent actual students, actual schools, or measured learning gains. Real outcome claims should wait until consented student usage data exists.

Grade 7Ratios & Proportions

A recipe uses 2 1/4 cups of flour for 3 identical batches. The baker has 5 cups. After making 8 batches, how many more cups of flour are needed?

Student attempt

The student finds the total flour needed for 8 batches but submits that value as the final answer.

Likely misconception

The proportional reasoning is mostly intact. The miss is the final comparison: the baker already has 5 cups, so the question asks for the shortage.

Adaptive scaffold

Ask for two labels before calculation: total needed and already available. Then subtract only after the scaled total is known.

Next practice

Another ratio problem with an already-have amount, followed by one with irrelevant information to test transfer.

Grade 8Linear Equations

A taxi charges a $4 starting fee plus $2.75 per mile. The total fare is $31.50. How many miles was the ride?

Student attempt

The student writes 2.75 + 4m = 31.50 because 2.75 appears first as the per-mile number.

Likely misconception

This is a setup error, not a calculation error. The repeated quantity is miles, so the per-mile cost must multiply the variable.

Adaptive scaffold

Have the student mark fixed fee once and repeated fee per mile before writing the equation.

Next practice

One more fixed-plus-rate problem, then a plan-comparison problem where two linear expressions must be compared.

Grade 8Systems of Equations

A school sold 80 tickets. Adult tickets cost $12 and student tickets cost $7. The total collected was $760. How many adult tickets were sold?

Student attempt

The student tries to solve using only the money total and guesses the number of adult tickets.

Likely misconception

The student is missing the second constraint. This problem needs both total tickets and total money.

Adaptive scaffold

Reduce depth for one attempt: define a and s, write the count equation, then write the revenue equation.

Next practice

A similar two-constraint story with a different surface context, such as animals and legs or items and revenue.

Why this is the right pre-launch substitute

Demo data should prove the loop, not fake the outcome

It gives parents and testers a concrete story instead of an empty dashboard.

It lets the product team test misconception categories before real data arrives.

It avoids privacy risk because no child data is used.

It stays honest because every example is labeled as fictional and representative.

See adaptive practice See misconception analysis