Grades 5–6 · Ages 10–12

Young Fermats - Pre-Algebra

SOMATH's math enrichment track for grades 5–6 — integers, fractions, ratios, intro algebraic thinking, the foundation for everything that follows.

Length120 minutes · once a week
Tuition$489 / month
Location226 W 79th St, UWS
FormatIn-person · max 6 students
Marcelo Ambrozio, lead math teacher at School of Math

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Marcelo Ambrozio

Co-Founder & Lead Math Teacher

MBA · B.S. Applied Mathematics, Northwestern · 20 years coaching MIT, Harvard & Stanford candidates. Meet the team →

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Young Fermats - Pre-Algebra · Grades 5–6

$489 / month — tuition (recurring) · $99 one-time registration (placement test, written diagnostic, learning plan)
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About the course

What students learn

Young Fermats Pre-Algebra is the entry track of our middle-school program. We close the arithmetic gaps that quietly hold middle schoolers back — signed numbers, fractions, ratios, percent — and start the transition to algebraic thinking: variables, expressions, and one-step equations. Courses are rolling — a student can join at any meeting and continue into the next term without losing the thread.

A typical class

Sample class format · 120 minutes

Every Young Fermats - Pre-Algebra class follows the same structure so students walk in knowing what to expect and walk out with a corrected mini-quiz in hand.

0:00 – 0:30
30 min

Puzzles & Enigmas

Warm-up with logic puzzles, math riddles, and short brain-teaser problems. The point is to switch the brain on without yet introducing today’s topic — students arrive at different focus levels and this 30-minute block evens the room.

0:30 – 1:00
30 min

Subject — concept & guided practice

First half of today’s topic. One pre-algebra topic per meeting — signed numbers, order of operations, variables and expressions, ratio/percent, or one-step equations. Concept-first: the instructor demonstrates one or two worked examples, then students try guided practice with the teacher walking the table.

1:00 – 1:05
5 min

Brain break

A short break — water, stretch, a quick chat. Five minutes is enough to reset focus without losing the rhythm of the class.

1:05 – 1:30
25 min

Subject — word problems & applications

Second half of the topic, focused on word problems, abstraction, and math applied to real situations — the place where rote knowledge turns into real understanding. Examples we use: Negative temperatures in a December weather report (signed numbers).; Computing a real 15% tip and total at a NYC restaurant.; Scaling a Google Maps screenshot to figure out actual walking distance..

1:30 – 2:00
30 min

Mini-quiz — corrected in class

A short timed mini-quiz on today’s topic, then we correct it together — question by question, out loud, with the right strategy spelled out for each item. Parents get the corrected paper at the end of the session so they know exactly where their child stands.

Syllabus arc

48-class rolling syllabus

Courses are rolling — a student can join at any class and continue without losing the thread. Here’s the full topic arc:

  1. Class1Integers on the number line and absolute value.
  2. Class2Adding and subtracting integers.
  3. Class3Multiplying and dividing integers.
  4. Class4Order of operations with integers and fractions.
  5. Class5Equivalent fractions, comparing, and converting to decimals.
  6. Class6All four operations on fractions and mixed numbers.
  7. Class7Decimals — all four operations, including by decimals.
  8. Class8Ratios and rates — equivalent ratios and unit rates.
  9. Class9Proportional reasoning — solving simple proportions.
  10. Class10Percent — three faces (part/whole/percent), tip, tax, discount.
  11. Class11Variables and algebraic expressions — translating words.
  12. Class12Evaluating expressions and combining like terms.
  13. Class13One-step equations with addition and subtraction.
  14. Class14One-step equations with multiplication and division.
  15. Class15Two-step equations — bringing it all together.
  16. Class16Word problems modeled with one- and two-step equations.
  17. Class17Solving multi-step equations with variables on both sides.
  18. Class18Solving and graphing one-variable inequalities.
  19. Class19Functions — tables, graphs, and the vertical-line test.
  20. Class20Linear functions — slope as rate of change.
  21. Class21Graphing lines from slope-intercept form.
  22. Class22Systems of two linear equations — substitution method.
  23. Class23Word problems using systems — mixture, age, distance-rate-time.
  24. Class24Exponents and square roots — rules, perfect squares, and irrational numbers.
  25. Class25Prime factorization, GCF, and LCM.
  26. Class26Divisibility rules and number theory basics.
  27. Class27Fractions on a number line — comparing, ordering, and equivalences.
  28. Class28Multiplying and dividing fractions — visual models to formal rules.
  29. Class29Fractions, decimals, and percents — converting fluently among all three.
  30. Class30Percent change — increase, decrease, and percent-of-percent.
  31. Class31Simple interest and applications to money problems.
  32. Class32Ratios in multi-part problems — three-way ratios and scaling recipes.
  33. Class33Direct proportion and inverse proportion — recognizing and using each.
  34. Class34Unit conversion and dimensional analysis (customary and metric).
  35. Class35Coordinate plane refresher — plotting, quadrants, distance between points.
  36. Class36Perimeter, area, and area of composite figures.
  37. Class37Volume and surface area of rectangular prisms.
  38. Class38Statistics — mean, median, mode, and range from data sets.
  39. Class39Reading and building bar graphs, line graphs, and pie charts.
  40. Class40Probability — likelihood of simple events with fair spinners and dice.
  41. Class41Compound events — independent events and the multiplication principle.
  42. Class42Order of operations with exponents and grouping symbols.
  43. Class43Distributive property in expressions with multiple terms.
  44. Class44Solving equations with fractions and decimals as coefficients.
  45. Class45Multi-step word problems mixing percent, ratio, and equations.
  46. Class46Introduction to inequalities on a number line and in real contexts.
  47. Class47Cumulative review — arithmetic fluency and problem-solving strategies.
  48. Class48Cumulative review — pre-algebra placement, mock middle-school assessment.

Frequently asked

Common questions from parents

How large are SOMATH classes?

Every SOMATH class is capped at 6 students. That is the number that lets one teacher see every student's work in real time, correct silent mistakes before they become habits, and pace to the room instead of the average. Larger groups defeat the whole point of small-group teaching, so we hold the cap firmly.

Where do classes meet?

In person at 226 W 79th Street, 1st Floor, New York, NY 10024 — one block from the 79th Street 1 train and a short walk from the B and C at 81st Street. We do not offer online classes; the small-group model relies on shared whiteboard work and in-room feedback.

What is included in registration?

$99 one-time registration covers a placement test, a written diagnostic, and a personalized learning plan delivered within 48 hours. Workbooks, problem sets, and printed practice tests are included at no extra charge. The $99 registration is separate from monthly tuition.

Can we pause or cancel?

Yes. Cancel anytime with 15 days written notice — no long-term contract. Up to 4 weeks of free pause per year to cover travel or family events, and one free make-up per month for a missed class (subject to available seats in another cohort).

Do you offer a free trial or evaluation?

Yes. Every new family starts with a free 60-minute evaluation in our classroom plus a written diagnostic delivered within 48 hours. There is no charge and no commitment — the diagnostic is yours to keep whether you enroll or not. Book at schoolofmath.us/evaluation or call (646) 668-6151.

When should a student take Young Fermats Pre-Algebra?

Typically 6th or 7th grade. The course prepares students for Algebra 1 by building fluency with variables, expressions, linear equations, ratios and proportions, and negative-number arithmetic. Students who complete Pre-Algebra with confidence are ready for Algebra 1 in the following school year — whether at school or with us.