Corpus Analytics

Distribution & coverage across the 427 유형 — built statically from the content tree.

By grade

■ take   ■ adapt   ■ drop

Decision breakdown

take 330 · adapt 97 · drop 0

Adapt reasons (localization mismatch flags)

CCSS domain coverage

⚠ 44 types flagged ccss-needs-new-standard — Round-2 backfill backlog (grade 6-8 topics / K-5 subset gaps).

Productization: planned vs actual

427 types with no generator (static-only)

• u1-arrange-cards-count-numbers 2-2
• u1-balance-equal-weights 5-1
• u1-box-value-range 3-1
• u1-build-and-order-of-operations 3-2
• u1-build-number-from-conditions 4-1
• u1-cancel-denominator-smallest-fraction 6-2
• u1-cancel-denominator-whole-result 6-1
• u1-clock-gain-per-day-fraction 6-1
• u1-closest-from-digit-cards 5-2
• u1-closest-sum-to-target 3-1
• u1-combine-equations-eliminate 5-1
• u1-combine-into-one-expression 5-1
• u1-combined-work-rate 4-2
• u1-compare-digit-by-digit-unknown 4-1
• u1-compare-with-unknown-digit 2-2
• u1-consecutive-integers 3-2
• u1-consecutive-sum 3-1
• u1-constant-sum-tradeoff 5-1
• u1-context-round-up-down 5-2
• u1-cryptarithm-regrouping 3-1
• u1-custom-operator-symbol 4-2
• u1-decompose-into-addition 3-1
• u1-defined-operation-symbol 5-1
• u1-digit-cards-largest-product 3-2
• u1-digit-cards-largest-smallest 3-1
• u1-digit-conditions-find-number 2-2
• u1-divide-by-whole-as-reciprocal 6-1
• u1-equation-both-sides-same-operation 6-1
• u1-estimate-product-inequality 3-2
• u1-fraction-sequence-rule 4-2
• u1-gaps-versus-posts 3-2
• u1-inequality-boundary-inclusion 5-2
• u1-make-amount-with-coins 2-2
• u1-maximize-result-by-factor 5-1
• u1-missing-digit-in-product 3-2
• u1-multiplication-division-inverse 6-2
• u1-name-unknown-build-equation 6-2
• u1-number-cards-largest-mixed 4-2
• u1-number-line-interval-value 4-1
• u1-number-line-locate-compare 4-1
• u1-overlap-as-area-unit 6-1
• u1-overlap-subtract 3-1
• u1-overlap-subtract-distance 4-2
• u1-place-value-regrouping 3-1
• u1-range-bounds-max-difference 5-2
• u1-range-overlap-count 5-2
• u1-rectangle-perimeter 4-2
• u1-regroup-bundles-carry 4-1
• u1-regroup-ten-to-next-place 2-2
• u1-reverse-from-wrong-product 3-2
• u1-reverse-order-find-unknown 5-1
• u1-round-by-lower-digits 5-2
• u1-rounding-original-range 5-2
• u1-simplify-before-comparing 6-2
• u1-skip-count-backward 2-2
• u1-skip-count-by-place-value 4-1
• u1-skip-count-step-size 2-2
• u1-smallest-quotient-card-placement 6-2
• u1-submerged-bar-length 4-2
• u1-sum-and-difference 3-1
• u1-sum-as-middle-times-count 3-2
• u1-symbolize-unknown-build-expression 5-1
• u1-thousand-as-ten-hundreds 2-2
• u1-times-ten-shifts-place 4-1
• u1-two-digit-place-value-enumerate 5-2
• u1-unit-amount-first 6-2
• u1-unit-distance-from-total-time 6-1
• u1-unit-shape-count-area 6-1
• u1-whole-from-fractional-part 6-2
• u1-whole-job-as-one-work-rate 6-1
• u1-wrong-calc-inverse 4-2
• u2-adjust-to-zero-remainder 3-2
• u2-bouncing-ball-ratio 5-2
• u2-bus-departure-lcm-coincide 5-1
• u2-clock-hands-angle 4-1
• u2-container-weight-from-poured-amount 6-2
• u2-count-angles-in-figure 4-1
• u2-count-composite-shapes 3-1
• u2-count-isosceles-on-geoboard 4-2
• u2-count-line-segments 3-1
• u2-count-triangles-in-figure 4-2
• u2-cube-views-base-perimeter 3-1
• u2-custom-operator-rule 5-1
• u2-decimal-unit-conversion-rate 6-2
• u2-different-factors-same-product 2-2
• u2-divisible-fill-blanks 3-2
• u2-divisors-count-equal-shares 5-1
• u2-equal-perimeter-find-side 3-1
• u2-equal-value-bounds-inequality 2-2
• u2-equilateral-properties 4-2
• u2-find-unknown-then-correct 2-2
• u2-folded-triangle-angle 4-2
• u2-fraction-of-quantity-distributive 5-2
• u2-fraction-of-quantity-from-figure 5-2
• u2-fraction-unit-conversion 5-2
• u2-gaps-versus-posts-division 3-2
• u2-gear-mesh-lcm 5-1
• u2-guess-and-check-legs 2-2
• u2-isosceles-angle-stepwise 4-2
• u2-isosceles-from-radius 4-2
• u2-isosceles-in-polygon 4-2
• u2-largest-quotient-card-placement 6-2
• u2-lightbulb-blink-lcm 5-1
• u2-line-angle-in-figures 4-1
• u2-long-division-missing-digits 3-2
• u2-map-scale-fraction 5-2
• u2-multiple-divisible-by-factor 5-1
• u2-multiple-factor-decompose 5-1
• u2-multiple-ways-to-count 2-2
• u2-net-congruent-faces-are-bases 6-1
• u2-net-segment-is-solid-edge 6-1
• u2-net-side-face-single-rectangle 6-1
• u2-overlap-figure-perimeter 3-1
• u2-part-to-whole 5-2
• u2-pattern-perimeter-nth 3-1
• u2-perimeter-and-tile-count 3-1
• u2-perimeter-by-counting-sides 3-2
• u2-perimeter-from-sides 3-1
• u2-polygon-angle-sum-triangulation 4-1
• u2-prism-from-face-edge-vertex-counts 6-1
• u2-product-equals-gcf-times-lcm 5-1
• u2-properties-of-one-and-zero 2-2
• u2-pyramid-from-face-edge-counts 6-1
• u2-quadrilateral-angle-sum-360 4-1
• u2-range-conditions-common-number 2-2
• u2-rebuild-dividend-from-quotient-remainder 6-2
• u2-recover-dividend-from-quotient-remainder 3-2
• u2-rectangle-side-single-unknown 3-2
• u2-remainder-less-than-divisor 3-2
• u2-repeating-decimal-far-digit 6-2
• u2-ribbon-parallel-to-edges 6-1
• u2-rotation-preserves-angle 4-2
• u2-rounding-as-up-or-down 6-2
• u2-shape-equations-solve-in-order 2-2
• u2-single-unknown-angle-equation 4-1
• u2-sticks-to-build-shapes 2-2
• u2-straight-angle-180 4-1
• u2-subtract-remainder-find-divisor 5-1
• u2-top-up-to-divide-exactly 6-2
• u2-transfer-line-onto-net 6-1
• u2-triangle-angle-sum-180 4-1
• u2-truncated-solid-edge-count 6-1
• u2-unit-amount-decimal 6-2
• u2-unit-fraction-smaller-denominator-larger 5-2
• u2-whole-as-one-remaining-fraction 5-2
• u3-arrange-digits-extremize-quotient 4-1
• u3-axis-splits-congruent-halves 5-2
• u3-chain-of-circle-centers-segment 3-2
• u3-closest-decimal-cards 4-2
• u3-common-multiple-divisibility 3-1
• u3-congruent-corresponding-sides 5-2
• u3-congruent-overlap-leftover 5-2
• u3-congruent-sides-find-area 5-2
• u3-consecutive-naturals-decimal 4-2
• u3-constant-rate-correspondence-rule 5-1
• u3-container-weight-difference 4-2
• u3-counts-give-front-side-views 6-2
• u3-cryptarithm-multiplication 4-1
• u3-cuts-to-pieces-rule 5-1
• u3-decimal-compare-digit 4-2
• u3-decimal-inequality-blank 4-2
• u3-decimal-inverse-find-number 4-2
• u3-decimal-sum-difference-system 4-2
• u3-decimal-wrong-calc 4-2
• u3-defined-operation-symbol 4-1
• u3-diameter-twice-radius 3-2
• u3-dividend-equals-divisor-times-quotient 3-1
• u3-division-as-repeated-subtraction 3-1
• u3-double-counted-removals 6-2
• u3-exposed-faces-by-layer-position 6-2
• u3-factor-decomposition-divisibility 4-1
• u3-find-number-meeting-conditions 3-1
• u3-find-rule-write-expression 6-1
• u3-find-total-then-divide 3-1
• u3-fit-circles-in-rectangle 3-2
• u3-fixed-vs-changing-pattern 5-1
• u3-fold-or-rotate-overlap-symmetry 5-2
• u3-fraction-of-whole-as-division 6-1
• u3-gaps-depend-on-path-shape 6-1
• u3-gaps-one-fewer-than-objects 2-2
• u3-grid-cut-card-count 2-2
• u3-handspan-from-counts 2-2
• u3-identify-added-pieces 6-2
• u3-inequality-multiply-both-sides 6-1
• u3-larger-dividend-larger-quotient 3-1
• u3-layers-to-top-view-counts 6-2
• u3-max-intersection-points 5-1
• u3-maximize-remainder 4-1
• u3-more-and-less-find-original 2-2
• u3-multiple-correspondence-rule 5-1
• u3-multiplicative-comparison 4-1
• u3-objects-and-gaps-spacing 3-1
• u3-overlap-subtract-length 2-2
• u3-overlapping-circles-through-centers 3-2
• u3-perimeter-as-radius-and-straight-parts 3-2
• u3-perimeter-from-circle-centers 3-2
• u3-perimeter-of-touching-circles 3-2
• u3-point-symmetry-complete-perimeter 5-2
• u3-polygon-perimeter-overlap 4-2
• u3-position-to-term-rule 5-1
• u3-radius-diameter-from-segments 3-2
• u3-radius-equal-in-one-circle 3-2
• u3-range-before-rounding 6-1
• u3-repeating-decimal-digit-position 6-1
• u3-ribbon-around-box 2-2
• u3-side-as-radius-sum-general 3-2
• u3-side-as-radius-sum-triangle 3-2
• u3-side-length-from-cut-pieces 3-1
• u3-single-unknown-equation-sum-difference 6-1
• u3-smaller-unit-more-counts 2-2
• u3-smallest-cube-from-longest-side 6-2
• u3-spacing-interval-count 4-1
• u3-start-where-views-pin-count 6-2
• u3-subtract-remainder-to-divide-exactly 6-1
• u3-sum-and-difference-two-lengths 2-2
• u3-symmetry-axis-corresponding-angles 5-2
• u3-symmetry-bisects-corresponding-segment 5-2
• u3-two-separate-correspondences 5-1
• u3-unify-units-then-compare 2-2
• u3-unit-conversion-simplify 4-1
• u3-unit-rate-value 4-1
• u3-views-after-removing-cubes 6-2
• u4-arrange-digits-for-extreme-product 3-1
• u4-auxiliary-parallel-line-angle 4-2
• u4-bouncing-ball-fraction-height 3-2
• u4-clock-drift-as-proportion 6-2
• u4-common-denominator-ordering 5-1
• u4-common-factor-not-lowest-terms 5-1
• u4-compare-hour-then-minute 2-2
• u4-compare-mixed-and-improper-fractions 3-2
• u4-compare-via-common-denom-or-num 5-1
• u4-composite-figure-perimeter 4-2
• u4-concentration-after-adding-salt 6-1
• u4-corresponding-alternate-angles 4-2
• u4-count-shapes-in-figure 4-2
• u4-days-per-month-future-date 2-2
• u4-decimal-point-placement 5-2
• u4-decompose-rectangles-decimal-area 5-2
• u4-discount-rate-comparison 6-1
• u4-distributive-factor-decimals 5-2
• u4-elapsed-time-between-clocks 2-2
• u4-equal-height-area-ratio-is-base-ratio 6-2
• u4-equivalent-fractions-scale 5-1
• u4-estimate-product-inequality 3-1
• u4-evaluate-custom-defined-operation 3-1
• u4-even-flips-identity 4-1
• u4-fast-slow-clock 2-2
• u4-find-whole-from-fraction 3-2
• u4-flip-image-overlaps 4-1
• u4-flip-turn-digits-letters 4-1
• u4-fraction-closeness-by-difference 5-1
• u4-fraction-of-a-number 3-2
• u4-fraction-sequence-pattern 3-2
• u4-fractions-by-conditions 5-1
• u4-full-turn-identity 4-1
• u4-interest-rate-on-principal 6-1
• u4-make-oclock-then-add 2-2
• u4-minutes-to-hours-decimal 5-2
• u4-mirror-clock-elapsed 2-2
• u4-missing-digits-in-multiplication 3-1
• u4-overlaps-one-fewer-than-strips 3-1
• u4-paper-fold-equal-angles 4-2
• u4-parallelogram-adjacent-angles 4-2
• u4-pattern-rule-as-expression 3-1
• u4-percent-base-hundred 6-1
• u4-perimeter-path-around-pond 3-1
• u4-perpendicular-right-angle 4-2
• u4-place-value-maximize-product 5-2
• u4-population-density-rate 6-1
• u4-proper-fraction-repeated-subtraction 3-2
• u4-proportional-division-of-profit 6-2
• u4-quiz-scoring-right-wrong-counts 3-1
• u4-rate-as-fraction-gives-terms 6-2
• u4-rate-gives-part-area 6-1
• u4-ratio-from-rate-and-difference 6-1
• u4-read-hour-hand-between 2-2
• u4-rectangle-overlap-perimeter 4-2
• u4-reverse-moves-to-original 4-1
• u4-reverse-steps-recover-fraction 5-1
• u4-rotation-center-fixed 4-1
• u4-same-numerator-compare-denominators 5-1
• u4-same-numerator-fraction-comparison 3-2
• u4-scale-simple-ratio-up 6-2
• u4-scaling-terms-keeps-ratio 6-2
• u4-single-unknown-equation-from-relations 3-1
• u4-speed-as-distance-over-time 6-1
• u4-stepwise-decimal-multistep 5-2
• u4-tape-overlap-total-length 5-2
• u4-transfer-keeps-total 6-2
• u4-two-unknowns-two-equations 6-2
• u4-undo-operations-to-find-start 3-1
• u4-weekday-repeats-every-seven 2-2
• u5-accumulate-distance-and-time 3-1
• u5-am-pm-arrival-time 3-1
• u5-angle-share-of-360-to-percent 6-1
• u5-angles-past-360-exceed-one-circle 6-2
• u5-central-angle-share-of-circle 6-2
• u5-closest-weight-estimate 3-2
• u5-compare-across-different-scales 4-2
• u5-compare-gap-between-two-lines 4-2
• u5-compare-paths-same-unit 3-1
• u5-complete-line-graph-from-clues 4-2
• u5-constant-speed-distance 3-1
• u5-container-weight-from-changes 3-2
• u5-cube-net-perimeter-edge 5-2
• u5-cut-into-straight-and-curved 6-2
• u5-empty-container-weight-fraction-subtract 5-1
• u5-equal-after-removing-common-part 6-2
• u5-estimate-intermediate-value 4-2
• u5-fast-slow-clock-drift 3-1
• u5-fraction-inverse-from-wrong-calc 5-1
• u5-graph-total-and-difference 2-2
• u5-hidden-edge-sum 5-2
• u5-inclusion-exclusion-fractions 5-1
• u5-interpret-many-facts 4-1
• u5-largest-proper-fraction 5-1
• u5-length-per-unit-gives-total 6-1
• u5-length-sum-difference-with-conversion 3-1
• u5-link-two-graphs 4-1
• u5-material-ratio-is-area-ratio 6-2
• u5-minutes-as-hour-fractions 5-1
• u5-net-adjacent-faces-perpendicular 5-2
• u5-net-faces-edges-vertices 5-2
• u5-net-fill-rate-with-leak 3-2
• u5-net-perpendicular-parallel-faces 5-2
• u5-one-roll-is-one-circumference 6-2
• u5-opposite-faces-parallel-dice-sum 5-2
• u5-painted-cube-faces 5-2
• u5-percent-of-part-weight 6-1
• u5-perimeter-fraction-sides 5-1
• u5-ratio-splits-percent 6-1
• u5-read-values-from-line-graph 4-2
• u5-regraph-one-item-as-whole 6-1
• u5-ribbon-parallel-edges 5-2
• u5-round-up-bundles-for-weight 3-2
• u5-scale-per-gridline 2-2
• u5-scale-reaches-max-value 4-1
• u5-scale-then-complete-graph 2-2
• u5-share-changes-with-total 6-1
• u5-single-unknown-capacity-equation 3-2
• u5-slide-parts-into-one-lump 6-2
• u5-snug-square-side-equals-diameter 6-2
• u5-solve-known-then-fill 4-1
• u5-speed-as-distance-per-time 3-1
• u5-stepwise-from-conditions 2-2
• u5-straight-and-curved-boundary 6-2
• u5-sum-of-line-graph-values 4-2
• u5-table-graph-cross-complete 2-2
• u5-table-to-graph 4-1
• u5-time-distance-slope-speed 4-2
• u5-time-sum-difference-base-sixty 3-1
• u5-total-capacity-by-adding-water 3-2
• u5-total-equals-sum-of-rows 2-2
• u5-total-from-one-item-and-share 6-1
• u5-total-from-percent-and-count-gap 6-1
• u5-two-bars-per-item 4-1
• u5-two-data-sets-one-graph 2-2
• u5-unit-fraction-decompose 5-1
• u5-unit-rate-per-kilogram 3-2
• u5-value-per-grid-square 4-1
• u5-weight-sum-and-difference 3-2
• u5-whole-as-sum-of-fractional-parts 5-1
• u6-average-speed-distance 5-2
• u6-calendar-grid-relations 4-1
• u6-clock-time-pattern 2-2
• u6-compare-decimals-by-place 3-1
• u6-compare-fractions-same-part 3-1
• u6-complete-addition-multiplication-table 2-2
• u6-composite-polygon-perimeter 5-1
• u6-composite-solid-surface-area 6-2
• u6-constant-sum-pairs 4-1
• u6-convert-table-and-pictograph 3-2
• u6-count-cubes-along-each-edge 6-1
• u6-count-points-lines-faces 4-1
• u6-cut-away-reduces-volume 6-1
• u6-cylinder-dimension-from-surface-area 6-2
• u6-decimal-place-value-tenths 3-1
• u6-digit-cards-largest-smallest-decimal 3-1
• u6-displaced-water-equals-stone-volume 6-1
• u6-edge-from-volume-or-surface-area 6-1
• u6-equal-overlap-area 5-1
• u6-exterior-angle-sum 4-2
• u6-fraction-as-multiple-of-unit-fraction 3-1
• u6-fraction-of-equal-parts 3-1
• u6-fractions-between-on-number-line 3-1
• u6-front-view-is-vertical-cross-section 6-2
• u6-growing-block-stack 2-2
• u6-isosceles-triangle-from-diagonal 4-2
• u6-matching-lengths-in-cylinder-net 6-2
• u6-mean-as-area-model 5-2
• u6-mean-count-sum 5-2
• u6-mean-recompute-after-change 5-2
• u6-mean-solve-unknown-value 5-2
• u6-missing-data-from-conditions 3-2
• u6-multiplication-table-symmetry 2-2
• u6-neighbor-difference-rule 4-1
• u6-overlap-rectangles-perimeter 5-1
• u6-parallelogram-diagonals-bisect 4-2
• u6-partial-average-find-unknown 5-2
• u6-perimeter-unit-length-multiple 5-1
• u6-pictograph-symbol-value 3-2
• u6-pictograph-to-table 3-2
• u6-polygon-angle-sum-triangulation 4-2
• u6-prism-from-three-views 6-1
• u6-probability-as-fraction-of-outcomes 5-2
• u6-radius-scaling-squares-volume 6-2
• u6-rectilinear-perimeter-rearrange 5-1
• u6-remaining-fraction-of-whole 3-1
• u6-repeating-block-sum 2-2
• u6-rolling-cone-circumference-match 6-2
• u6-rule-predicts-result 4-1
• u6-same-unit-before-volume 6-1
• u6-scaling-edges-cubes-volume 6-1
• u6-shape-and-color-pattern 2-2
• u6-shape-and-number-rule 4-1
• u6-shared-base-area 5-1
• u6-solve-knowns-then-unknowns 3-2
• u6-square-diagonals-perpendicular-equal 4-2
• u6-stacking-changes-surface-area 6-1
• u6-stepwise-area-from-known 5-1
• u6-surface-area-all-faces-sum 6-1
• u6-tiling-count-distinct-shapes 4-2
• u6-tiling-identify-pieces-and-area 4-2
• u6-total-from-pictograph 3-2
• u6-triangle-area-base-height 5-1
• u6-volume-as-base-times-height 6-1
• u6-weekday-cycle-pattern 2-2

Figure coverage

of 211 figured types: 211 have an EN SVG, 0 are PNG-only. Flags: enFigureNeedsRedraw 92 · enUnitsKept 42.

Archetype progression spine

37 of 46 archetypes span ≥2 grades (the progression spine). See progressions →

Grade-span distribution

Largest archetypes

Gap action list (471)