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Every mentor teaches from a structured programme, adapted live to your child. Open a course to see the full syllabus and enroll in minutes, or start with the free demo class and let the diagnostic pick the level for you.
Best fitElementary Mathematics Masterclass
Counting to advanced problem solving: number sense, fractions, geometry and word problems, built concrete-first.
$100/mo group · $150/mo 1-on-1
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Middle School Mathematics Mastery
Ratios, negatives, algebra and geometry: the make-or-break years, taught for genuine ownership.
$100/mo group · $150/mo 1-on-1
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Mental Maths Mastery for Kids
Number sense, not tricks: bonds, strategies and estimation built into speed that never expires.
$100/mo group · $150/mo 1-on-1
View course & enrollA good online math tutor for a 4th grader does three things: rebuilds place value deeply enough that multi-digit multiplication and long division make sense instead of being memorized dances; teaches fractions as numbers, not pizza slices, before fraction arithmetic arrives; and stays with your child, the same mentor, class after class. That is what we do: 8 live one-hour classes a month, 1-on-1 for $150 a month or small group for $100, free demo class first.
Fourth grade is where shortcuts stop working.
A child can fake grade 3 with a good memory. Grade 4 ends the act. Multi-digit multiplication has too many steps to memorize blind; long division punishes every place-value gap; and fraction arithmetic is meaningless to a child who never truly placed 1/3 on a number line. The procedures of grade 4 are honest: they pay out exactly what the foundations deserve.
This is also the year the spread inside a classroom becomes visible. Some children finish two-digit multiplication in three minutes; others are still counting the first partial product when the class moves on. One teacher cannot split themselves twenty-five ways, so the gap widens quietly, week by week.
The good news is precise: grade 4 struggles almost always trace back to two or three specific gaps, usually place value beyond hundreds, the meaning of multiplication as comparison, or the number-line picture of fractions. Fix those, and the procedures assemble themselves with startling speed.
That diagnosis-then-rebuild work is exactly what a live hour with a dedicated mentor is for. Not more worksheets on top of confusion, but the right idea, rebuilt properly, at your child's pace, with the procedures reattached on top.
Nine signs a 4th grader needs math help now, not later.
Multiplication facts still are not automatic
Hesitating on 7 × 8 makes multi-digit multiplication a slow-motion ordeal. Fluency is now infrastructure, not an extra.
Long division produces random layouts
Numbers scattered around the division bracket with no sense of what goes where means the procedure was copied, never understood.
Remainders get ignored or misused
Answering "26 buses" or dropping the remainder entirely shows the child computes without ever picturing the situation.
Fractions with different denominators cause shutdown
Comparing 2/3 and 3/5 by guessing means the grade 3 number-line picture never landed, and grade 5 will be brutal.
Decimals read as "point four seven"
Reading 0.47 digit-by-digit instead of as forty-seven hundredths signals place value stopped at the decimal point.
Multi-step problems collapse
Grade 4 problems need two and three operations in order. Children without a drawing habit grab numbers and pray.
Homework time has doubled
The workload did grow, but doubling usually means every problem is being re-derived from zero instead of flowing from understanding.
Confidence dipped after the first test
Grade 4 tests are longer and stricter. One bad score can start the "I'm not a math person" story if nobody intervenes.
They avoid showing their work
Hiding the working usually hides guessing. A child sure of their method shows it off.
Three or more of these? A diagnostic hour finds the exact gaps. Our demo class doubles as that diagnostic, and it is free.
Understand the machine before you operate it.
Grade 4 is procedure-heavy, so the temptation is to drill procedures. We do the opposite first: every algorithm is built from a model the child already trusts, and only then compressed into the fast method. Procedures built this way survive test pressure; memorized ones do not.
Area models before algorithms
23 × 14 starts as a rectangle cut into four regions the child can see and add. The standard algorithm arrives later as the shorthand for that picture.
Division as repeated reasoning
Long division is taught as "how many groups can I take out?", connected to multiplication at every step, so the bracket layout finally means something.
Fractions stay on the number line
Equivalence, comparison and addition all happen where fractions live, on the line, so rules like common denominators arrive as observations, not decrees.
Estimation before every computation
"Roughly what should this be?" before solving builds the self-checking instinct that catches errors graders love to punish.
Live, interactive, out loud
Your child computes, draws, explains and argues for the full hour. Mentors ask "how do you know?" until the knowing is real.
One mentor, compounding
The same teacher every class, tracking exactly which skills are automatic, which are fragile and which need rebuilding this month.
Multi-digit multiplication, taught so it cannot fall apart.
How it usually goes wrong: the child stacks the numbers, multiplies some digits, forgets the placeholder zero, and gets 122 or 322. When asked why there is a zero in the second row, they shrug. The algorithm is a ritual, and rituals break under pressure.
How our mentor teaches it: draw the rectangle. 23 becomes 20 + 3 across the top; 14 becomes 10 + 4 down the side. Four regions appear, and the child computes each one:
+----------+-----+
10 | 200 | 30 |
+----------+-----+
4 | 80 | 12 |
+----------+-----+
200 + 30 + 80 + 12 = 322
Now the standard algorithm is taught as the compressed version of this exact picture, and the mysterious zero turns out to be the 200-and-80 row wearing a disguise. A child who owns this picture can rebuild the method any time nerves wipe the ritual away.
Bonus: this same rectangle returns in grade 9 as (x + 3)(x + 4). We are quietly teaching algebra four years early.
Every math topic a 4th grader is expected to master.
The full Common Core-aligned picture of fourth-grade mathematics, the structure state standards follow across the US. Our mentors diagnose against this map first, then close the exact gaps.
Operations & Algebraic Thinking
| Skill | What mastery actually looks like |
|---|---|
| Multiplicative comparison | Reads "3 times as many" correctly and can distinguish it from "3 more than", the wording that sinks word-problem scores. |
| Multi-step word problems | Solves problems requiring several operations, represents unknowns with letters, and interprets remainders sensibly. |
| Factors and multiples | Finds factor pairs to 100, recognizes primes and composites, and sees why 1 is neither. |
| Number and shape patterns | Generates and analyzes patterns, noticing features the rule itself does not state. |
Number & Operations in Base Ten
| Skill | What mastery actually looks like |
|---|---|
| Place value to 1,000,000 | Understands each place is ten times the one to its right, reads and writes large numbers in all forms, and compares them. |
| Rounding large numbers | Rounds to any place using number-line reasoning, and knows what the rounding is for. |
| Multi-digit multiplication | Multiplies up to 4-digit by 1-digit and 2-digit by 2-digit using area models, partial products and the standard algorithm, and can explain the connection. |
| Division with remainders | Divides up to 4-digit dividends by 1-digit divisors, interprets the remainder in context, and checks by multiplying back. |
| Fluent addition and subtraction | Adds and subtracts multi-digit numbers with the standard algorithm, fluently and with understanding of every regroup. |
Number & Operations: Fractions
| Skill | What mastery actually looks like |
|---|---|
| Fraction equivalence | Explains why 3/4 = 6/8 using area models and the number line, not just "multiply top and bottom". |
| Comparing unlike fractions | Compares 2/3 and 3/5 by reasoning about benchmarks like 1/2, common denominators or common numerators, and can justify the choice. |
| Adding and subtracting fractions | Adds and subtracts fractions and mixed numbers with like denominators, understanding 5/8 as 5 pieces of size 1/8. |
| Multiplying fraction by whole number | Sees 3 × 2/5 as 3 jumps of 2/5 on the number line, solving word problems with the picture. |
| Decimal notation | Writes tenths and hundredths as decimals, places them on the number line, and compares them by size, not digit count. |
Measurement & Data
| Skill | What mastery actually looks like |
|---|---|
| Unit conversion | Converts within systems (km to m, hours to minutes, pounds to ounces) using multiplication, in two-column tables and word problems. |
| Area and perimeter formulas | Applies the rectangle formulas in real problems, including finding a missing side from a known area. |
| Angles | Understands angles as turning measured in degrees, measures with a protractor, and adds angle parts, geometry's first real numbers. |
| Line plots with fractions | Makes and interprets line plots with fractional units, quietly combining measurement with fraction arithmetic. |
Geometry
| Skill | What mastery actually looks like |
|---|---|
| Lines and angles | Identifies points, lines, segments, rays, parallel and perpendicular lines, and classifies angles as right, acute or obtuse. |
| Classifying shapes | Sorts triangles and quadrilaterals by their line and angle properties rather than by how they happen to look. |
| Line symmetry | Finds lines of symmetry and completes symmetric figures. |
The remainder problem, where computation meets meaning.
Each bus holds 40 students.
How many buses does the school need?
What computation alone produces: 245 ÷ 40 = 6 remainder 5, so the child writes "6 buses" and leaves five students in the parking lot. Or writes "6 R5 buses", an answer no bus company has ever heard of.
How our mentor teaches it: picture first. Six buses fill up; who is left? Five students standing at the curb. Can they walk? No. So the school needs a seventh bus, mostly empty, and the answer is 7.
Context says: those 5 still need a seat
Answer: 7 buses
Then we flip the context: "How many buses are completely full?" (6). "If cookies were shared instead, how much does each child get?" (the remainder becomes a fraction). One computation, three different answers depending on the story. That is the grade 4 skill tests actually probe, and drilling division alone never builds it.
A journey with a map, not an endless subscription.
Weeks 1-2 · Diagnose and win
The free demo doubles as a diagnostic against the full grade 4 map, including the grade 3 foundations underneath it. Early classes bank quick wins to rebuild momentum.
Month 1 · Place value and the big procedures
Place value to a million, then multi-digit multiplication through area models into the standard algorithm, with fact fluency drilled alongside, in that order.
Month 2 · Division and fractions
Long division built from meaning, remainders interpreted in context, then fraction equivalence and comparison rebuilt on the number line before any arithmetic rules.
Month 3 · Decimals, measurement and the word-problem engine
Decimal notation as extended place value, unit conversions, angles, and the multi-step word-problem method that turns all of it into test performance.
Ongoing · Ahead, not just caught up
Strong students extend into grade 5 previews and competition problems. Monthly billing means you re-decide every four weeks with the evidence in front of you.
One full hour, minute by minute.
Minutes 0-5 · Retrieval warm-up
Quick-fire facts and one problem from last week. Retrieval makes skills permanent and instantly shows the mentor what held.
Minutes 5-20 · The new idea, modeled
Today's concept built visually, area model, number line or bar, with the child doing the drawing and the predicting.
Minutes 20-40 · Guided practice
Problems solved together with support fading each round. Mistakes get caught at the moment of thinking, which is the whole point of live.
Minutes 40-52 · Independent solving
The child works alone while the mentor watches the process, not just the answer, spotting the exact step where reasoning bends.
Minutes 52-60 · Teach-back and preview
The child explains today's idea in their own words, the strongest consolidation there is, and takes a short practice set. Recorded for revision.
What grade 4 covers, month by month, in most US classrooms.
| When | What school teaches | Where children wobble |
|---|---|---|
| Aug-Oct | Place value to 1,000,000, rounding, multi-digit addition and subtraction | Large numbers read digit-by-digit; rounding without the number line |
| Oct-Dec | Multi-digit multiplication, factors, multiples, multiplicative comparison | The placeholder zero mystery; "times as many" misread as "more than" |
| Dec-Feb | Long division with remainders, multi-step word problems | Bracket layout chaos; remainders dropped or misapplied |
| Feb-Apr | Fraction equivalence, comparison, addition, multiplication by whole numbers; decimals | Rules memorized without the number line; "longer decimal = bigger" |
| Apr-May | Measurement conversion, angles, area and perimeter, line plots | Protractor confusion; formula mixing |
| May-Jun | Review, state testing, geometry classification | October's multiplication gaps resurface under time pressure |
The high-stakes window is December to April: long division and fraction arithmetic land back-to-back, and both punish weak grade 3 foundations. Support that starts before that window beats rescue after it.
The six grade 4 misconceptions we fix most often.
"The zero in row two is just a rule"
The placeholder in multiplication is the tens row in disguise. One area-model lesson and the zero finally has a job.
"0.25 is bigger than 0.5, it has more digits"
Decimal size judged by length. Fixed by reading decimals as place value, twenty-five hundredths versus fifty hundredths, on the number line.
"Remainders are decoration"
R5 written and forgotten. We teach every remainder to answer a question: rounds up, rounds down, or becomes a fraction, depending on the story.
"Equivalent fractions change the amount"
Multiplying top and bottom feels like making the fraction bigger. The area model shows the same shaded amount cut finer, and the fog lifts.
"3 times as many means add 3"
Multiplicative versus additive comparison is grade 4's sneakiest reading trap, and it is fixed with bar models, not rereading.
"A bigger angle has longer arms"
Angles judged by ray length instead of turn. Two minutes with rotating hands on a clock face rebuilds the concept for good.
Comparing 2/3 and 3/5 without a common-denominator ritual.
The ritual answer: cross-multiply or find common denominators, 10/15 versus 9/15, done. It works, and the child learns nothing about the fractions themselves.
The reasoning answer our mentors build first: compare each fraction to the benchmark 1/2, then to 1. Both beat 1/2. So ask instead: how far is each from 1? 2/3 is missing 1/3; 3/5 is missing 2/5. Which gap is bigger?
3/5 = 1 − 2/5 (missing two pieces of size 1/5)
1/3 < 2/5 → 2/3 is closer to 1 → 2/3 > 3/5
A child who can argue this way owns fractions. The common-denominator method still gets taught, as one tool among several, but it stops being a magic spell and becomes a choice. That flexibility is exactly what standardized tests reward in grades 5 and 6.
The only tutors who can turn grade 4 math into working code.
Every mentor here teaches mathematics and coding both, and grade 4 is where that pairing starts paying serious dividends. Factors and multiples become a program that finds them. The area model becomes a drawing the child codes. Angle turns become the commands steering a sprite through a maze the child designed.
An idea met twice in one week, once as a lesson, once as something the child built, is an idea that stays. Families who start with math here often add the coding track within a term, because the child asks for it, which tells you everything about how the classes feel.
Both subjects, one school, one mentor relationship, one monthly bill.
Six things parents of 4th graders can do at home.
Race the facts, gently
Five minutes of multiplication-fact games beats thirty of nagging. Automatic facts are the fuel grade 4 runs on.
Shop with estimation
"Will $20 cover these three things?" Real-world rounding with stakes, which is exactly the grade 4 skill.
Share pizza mathematically
Eighths versus sixths at dinner is fraction comparison with cheese on it. Ask which slice is bigger and why.
Let them budget something small
A birthday party budget or a grocery list gives multi-digit arithmetic a purpose no worksheet can fake.
Ask for the picture
When homework stalls, say "draw what the problem says" instead of explaining. The drawing habit is the single best gift for grades 5 and up.
Praise the method, not the speed
"I like how you checked that" builds a mathematician. "You're so fast" builds a rusher who peaks in grade 5.
Who this genuinely fits, and who it does not.
A strong fit if…
• Your child is behind on multi-digit multiplication, long division or fractions and needs the ideas rebuilt, not re-drilled.
• Your child is coasting at school and needs depth and challenge before boredom becomes a habit.
• Homework has become a nightly negotiation and you want a calm expert to take over the teaching.
• You want one mentor who knows your child, not a rotating cast or an app with streaks.
Honestly not the fit if…
• Your child cannot yet engage with a screen and a teacher for a full hour. By grade 4 nearly every child can, provided the hour is genuinely interactive, and ours are.
• You want homework done for the child. We teach the child to do it, which is slower on night one and far faster by week four.
• You are looking for a test-cram sprint. Grade 4 is about consolidating the machinery; cramming a nine-year-old is counterproductive and we will say so.
The courses behind the tutoring.
Every mentor teaches from a structured curriculum, adapted live to your child. If you prefer to see the full syllabus before you start, these are the programmes grade 4 students join.
Premium teaching. One honest price.
You are paying for a real teacher, live, for a full hour, twice a week, the same format US tutoring centers charge $300 to $450 a month for. Our cost base is global, so the price is not.
1:1 Private Mentorship
$150 / month
- 8 live one-hour classes a month, 2 per week
- A dedicated mentor who knows your child by name
- Diagnostic-led plan against the full grade 4 map
- Class recordings for revision · cancel any time
Small-Group Class
$100 / month
- 8 live one-hour classes a month, 2 per week
- A handful of children at the same level
- Same teaching method, gentle peer energy
- Recordings included · cancel any time
That is $18.75 per dedicated hour of 1-on-1 teaching, or $12.50 in a small group. No registration fee, no contract, and a free demo before any payment. Read our zero-risk promise or compare with what US math tutoring costs in 2026.
Mentors who teach the why, in classes kids wait for.
Our mentors are trained in one method: understanding before procedure, concrete before abstract, the child talking more than the teacher. They teach both maths and coding, which matters more than it sounds, because a mentor who can turn "4 groups of 6" into a game your child wants to build has engagement tools a worksheet never will.
And because the same mentor stays with your child month after month, teaching compounds. They know that your daughter rushes when unsure, that your son shuts down after two wrong answers, and exactly which idea to revisit before it becomes a gap.
"My child Dhairya is really enjoying the classes. This is his first online class, and he eagerly looks forward to it. I can see his improvement."
Sonam Oswal, mother of Dhairya · verified Google review
"My son struggled with math for years. Integrating it into coding projects has transformed his understanding and confidence. Highly recommended!"
Shewta Singh, mother of Ishan · verified Google review
Your real options for a struggling 4th grader.
| Option | Typical cost | What it really is | Best for |
|---|---|---|---|
| Modern Age Coders | $100-$150 / month | 8 live one-hour classes with a dedicated mentor, concrete-first teaching | Rebuilding understanding and confidence, sustained progress |
| Mathnasium center | $300-$450 / month + enrollment fee | Drop-in worksheet floor with rotating instructors | Children who focus better out of the house |
| Kumon | $150-$220 / subject / month | Daily worksheet packets, brief check-ins, no taught lessons | Building a drill habit and calculation speed |
| Local private tutor | $35-$80 / hour | Quality varies; twice-weekly quickly costs $280-$640 a month | Short-term help when you have found a gem nearby |
| Math apps | $10-$20 / month | Gamified practice, no teacher, no accountability | Casual practice between real lessons |
Competitor figures are typical published US prices as of July 2026 (tutors.com, brighterly.com). See our full comparisons: vs Mathnasium · vs Kumon · best online math tutoring 2026.
Everything parents of 4th graders ask us.
How do I know if my 4th grader is actually behind?
Four quick markers: are multiplication facts automatic, can they explain the area model for 23 x 14, can they compare 2/3 and 3/5 with a reason, and do they interpret a remainder in a word problem sensibly? Wobbly on two or more means gaps, usually inherited from grade 3, are compounding. Our free demo class doubles as this diagnostic.
My child knew their tables last year and seems to have forgotten them. Is that normal?
Common, and diagnostic: facts memorized without meaning decay over a summer, facts built from understanding do not. We rebuild the strategy underneath (doubling, near-squares, distributive shortcuts) and then re-automatize, which holds permanently this time.
Long division: is it even worth the fight?
Yes, and not mainly for the answers. Long division is the first algorithm where place value, multiplication, subtraction and estimation must cooperate over many steps. Children who genuinely own it show better algebra readiness later, because algebra is exactly this kind of multi-step discipline.
How long does catching up take?
Honestly: a child whose gap is just fluency usually stabilizes within a month of twice-weekly classes. A child missing grade 3 concepts, equal groups or the fraction number line, needs a term, because we rebuild those first. The diagnostic tells us which case yours is, and monthly billing means you re-decide every four weeks.
Can a 9-year-old focus for a full online hour?
Yes, when the hour is genuinely interactive: drawing area models, predicting answers, explaining out loud, solving live. Parents tell us in reviews their children look forward to class, which is the real measure.
Who teaches, and is it the same person every time?
A dedicated mentor, the same one every class, tracking your child against the full grade 4 map. You can meet the team on our team page and watch recorded real classes before booking anything.
What does it cost, exactly?
1-on-1 is $150 a month, small group is $100 a month, both with 8 live one-hour classes (2 per week) and recordings included. No registration fee, no contract, cancel any month. The first class is a free live demo with the actual teacher, no card needed.
Is this aligned with my child's school?
Yes. We teach against the Common Core grade 4 structure US state standards follow, using the same models schools use, so our classes and classwork reinforce each other.
My child cries over the new methods. Can you just teach the old way?
We teach both, connected. The models are genuinely better for understanding, and the traditional algorithms are genuinely better for speed. Taught as one story, the tears usually stop within weeks, because the child finally sees why each step exists.
What if my child is ahead?
Grade 4 is a wonderful year to go deeper: multi-step problem solving, early fraction multiplication, factor and prime play, and our Olympiad track for children who light up at hard problems.
Do you cover state test prep?
We prepare the child rather than drill the test: full understanding plus word-problem method plus estimation checking is what grade 4 state tests actually measure. In the weeks before testing, mentors fold in test-format practice naturally.
Can we try before paying anything?
Yes. Every family starts with a free live demo class, no card details, no obligation, and it doubles as the diagnostic. Our zero-risk promise is written down on the guarantee page.
The terms on your child's worksheets, decoded.
Area model
A rectangle cut into regions to multiply big numbers visually. Returns in grade 9 as algebra.
Partial products
The pieces of a multiplication (20 x 10, 20 x 4...) added up. The bridge between the model and the fast algorithm.
Multiplicative comparison
"3 times as many", comparing by multiplying rather than adding. Grade 4's sneakiest word-problem phrase.
Remainder
What is left after division. Its meaning, round up, drop, or turn into a fraction, depends entirely on the story.
Factor pairs
Two numbers that multiply to a target: 24 has 1 and 24, 2 and 12, 3 and 8, 4 and 6.
Prime and composite
A prime has exactly two factors, itself and 1. Composite numbers have more. The number 1 is neither.
Benchmark fraction
A friendly reference like 1/2 or 1 used to compare messier fractions by reasoning instead of ritual.
Mixed number
A whole and a fraction together, like 2 3/4, traded for 11/4 and back.
Tenths and hundredths
The first decimal places: 0.47 is 47 hundredths, place value continuing past the point.
Protractor
The half-circle tool that measures angles in degrees, and the source of a thousand upside-down readings we fix.
Line plot
A dot-above-a-number-line chart, in grade 4 often with fraction positions.
Standard algorithm
The traditional column method for an operation. We teach it as the compressed form of a model, never as the starting point.
More math help from Modern Age Coders.
Watch one full hour of real teaching. Free.
Book the demo class. Your child gets a real lesson with a real mentor, you get a diagnostic against the complete grade 4 map, and nobody asks for a card. If your child does not leave the hour lighter about math, walk away with our thanks.