Calculus tutoring in Colorado
Kolu is software. Nobody from Kolu will drive to your house in Colorado, and we have no office there. If you want a person, this page says how we would look for one. If the question is which skill is missing, we can help with that part.
No state test in Colorado covers calculus. What counts is the grade the teacher gives and, for students in the AP course, the AP Calculus exam in May. The main testing window is three weeks in April.
Most points lost in calculus are lost to algebra
The calculus in a calculus problem is often one line. Take the derivative, set it to zero. The other nine lines are factoring, fractions, exponent rules and trig values, and that is where the work falls apart. Students walk out of a test saying they understood the lecture and still got a 60, and both things are true.
The other common hole is functions. A student who thinks of f(x) as a formula to plug numbers into, and has no picture of its graph or how fast it is changing, can follow every rule without knowing what the answer means. That shows up the first week of related rates.
The problem on the page
Find the local minimum of f(x) = x³ − 6x²
Finding a minimum with the derivative
Calculus
Power rule
Calculus · rests on the one below
Solving an equation by factoring
Algebra I · usually where it started
Exponent rules
Grade 8
What Colorado tests, by grade
| Grade | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 |
|---|---|---|---|---|---|---|---|---|---|---|
| Reading and writing | CMAS | CMAS | CMAS | CMAS | CMAS | CMAS | PSAT | PSAT | SAT | Not tested |
| Math | CMAS | CMAS | CMAS | CMAS | CMAS | CMAS | PSAT | PSAT | SAT | Not tested |
| Science | Not tested | Not tested | CMAS Science | Not tested | Not tested | CMAS Science | Not tested | Not tested | CMAS Science | Not tested |
- CMAS (Colorado Measures of Academic Success): reading and writing, math, grades 3 through 8
- CMAS Science (Colorado Measures of Academic Success, science): science, grades 5, 8 and 11
- PSAT: reading and writing, math, grades 9 and 10
- SAT: reading and writing, math, grade 11
Testing dates, graduation rules and the one deadline families miss are on a separate page. Colorado guide
Kolu finds the missing skill and goes back to it
Kolu's calculus map keeps precalculus and algebra attached, and the skill check goes there if the answers say it should. It treats 3x(x − 4) and 3x² − 12x as the same expression, draws the function when a picture helps, and brings each skill back days later to see whether it stuck. College students use it the same way, alongside the course.
Kolu does not call a skill mastered after one right answer. That takes correct work on different kinds of problems on different days, and a skill that fades gets brought back.
Kolu is not test prep for CMAS. It has no bank of released questions. It teaches the skills the test draws on, and it will not do tonight's homework.
When to hire a person instead
For AP Calculus with the exam close, find someone who has taught the course and knows how the free-response questions are scored. Kolu does not grade free-response answers against the College Board rubric.
Ask the school first. Teachers know who tutors, and a counselor can tell you what the district already offers at no cost. A nearby college is the next place to look, since students there took these courses recently and usually charge less than an agency.
Whoever you hire, ask one question before the first session: how will you find out what my child doesn't know? If the answer is that they will go over the homework, keep looking.
Free for one subject, $15 a month for 5
Kolu is free for one subject at a time, with one full skill check every 30 days and up to 4 sessions a day. Plus is $15 a month, or $120 for a year, and covers 5 subjects at once with unlimited skill checks. A learner under 13 needs a parent or guardian to set up the account.