Grade 4
By Knomi Learning · Updated
The short answer
A 4th grader learns 25 math topics, in 7 units: Big Numbers, Multiplying and Dividing, Factors and Patterns, Fractions, Decimals, Geometry and Measurement and Problem Solving. That is 66 smaller skills in all, taught in the order below, each building on earlier ones.
Base camp for the whole-number half of the year. Kids stretch place value all the way to 1,000,000 and learn to read and write big numbers, and meet the ten-times idea that every algorithm after it grows from.
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Line up place values to decide which big number is bigger, then round to any place by asking which landmark is closer. Rounding is the engine behind every estimate on the map.
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The paper-and-pencil classics, done with understanding. Kids master the standard algorithms for numbers into the hundred-thousands, estimate to check themselves, and put it all to work in story problems.
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The fuel depot for everything multiplicative on the map. Kids lock in their facts through 12 × 12 and meet grade 4's big new idea: "times as many."
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The multiplication spine, climbed rung by rung: place-value patterns, area models and partial products, up to the grade-4 summit of 2-digit × 2-digit — with estimation and word problems to make it stick.
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Division as multiplication's flip side. Kids build fact fluency through fact families and meet the leftover — the remainder — for the first time.
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The division spine: place-value patterns, partial quotients, and dividends up to four digits — plus the judgment call of what a remainder actually means in a story.
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Number detective work — finding every factor pair, spotting multiples, and sorting numbers into prime and composite. This toolkit powers fraction simplifying and comparing later on.
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A short trail into algebraic thinking. Kids generate patterns from rules, hunt for hidden features, and run rule machines forward and backward, using the multiplication and division they now have.
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The gateway to the fraction half of the map. Kids reconnect with what a fraction is — in area models, on bars, and on the number line — and learn to take fractions apart into unit-fraction pieces.
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Why 1/2, 2/4, and 4/8 are the same amount — and how to run that idea in reverse to simplify. Equivalence is the root idea that feeds comparison, and later, decimals.
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Which of two fractions is bigger? Easy cases first — same denominator, same numerator — then any pair at all, by benchmarking against 1/2 or rewriting with a common denominator.
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Joining and separating parts of the same whole — from same-denominator sums through mixed numbers and their regrouping, into story problems and fraction-flavored line plots.
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What 3 × 2/5 means — repeated addition of a fraction, built from copies of a unit fraction — and the practical payoff of scaling recipes and servings with mixed numbers.
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The doorway from fractions into decimal land. Tenths and hundredths get a new outfit — the decimal point — and kids read, write, and model them in every form.
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Decimals and fractions share one number line, so 0.3 and 3/10 land on the same point. From there, kids compare and order decimals by place value — without falling for "longer means bigger."
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Putting decimals to work with money and measurements: adding tenths and hundredths by thinking in like units, and counting out change. The full decimal algorithms wait for Grade 5.
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Geometry's alphabet. Kids learn points, lines, rays, and segments, sort lines into parallel and perpendicular, and meet angles as turns through a circle — with a degree as 1/360 of a full spin.
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Get real with a protractor: measure and sketch angles to the degree, then discover that angle measures add — so the missing piece of a straight line is one subtraction away.
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Sorting shapes by what they really are, not what they look like. Kids classify triangles two ways and untangle the quadrilateral family tree.
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A playful finish to the geometry world: fold lines where two halves match exactly, then a step off the page into cubes, prisms, pyramids, and the nets that fold into them.
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Fencing gardens and carpeting rooms. Kids wield the rectangle formulas forward and backward, slice up composite shapes, and discover that a shared perimeter doesn't mean a shared area.
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A light, friendly path with a view. Kids read and build tables, pictographs, and graphs, and think about which picture tells a data story best.
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How big is a kilometer, really? Kids build unit intuition across metric, customary, and time, then convert bigger units to smaller ones with the multiplication they just mastered.
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The capstone of the year. Kids mix all four operations in multi-step stories, including measurement problems with conversions and simple fraction and decimal amounts, and check that their answers make sense.
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On Knomi's map, 4th grade math has 25 topics in 7 units, made of 66 smaller skills.
The earlier topics 4th grade leans on most are Adding and Subtracting (Grade 3); Fraction Number Lines (Grade 3); Shapes and Quadrilaterals (Grade 3); Place Value to 1,000 (Grade 3); and Counting Patterns (Grade 3). A student who is quick and sure with those is ready. Each topic below lists exactly what it builds on.
Common Core is the spine. All 66 skills carry a Common Core reference, and the order follows the usual US course.
Every one of them has a full lesson on Knomi. The 4th grade map is open to anyone, with no account needed to look around.
Every topic above, with lines to what it needs first. Open it and look around, no account needed.
Open the Grade 4 map