MathJewels content atlas

Every MathJewels problem, in its place.

58 published problems across 431 targetable nodes (441 total ontology nodes). Explore the coverage map and find connected skills. Uncovered nodes remain visible so the atlas also shows where new challenges can extend the collection.

Coverage matrix

DomainKindergartenGrade 1Grade 2Grade 3Grade 4Grade 5Grade 6Grade 7Grade 8Grade 9Grade 10Grade 11Grade 12
Number and quantity1053031023366
Operations and computation10511020000000
Ratios, rates, and proportional reasoning0000001000000
Algebraic structure and equations0011121101389
Functions and change0000001110112
Geometry and spatial reasoning0011010000000
Measurement and units0004120000001
Data, statistics, and probability0001010000001
Discrete mathematics and logic0002221113313
Modeling and applied quantitative literacy0000000000000
Reasoning, proof, and mathematical practice0000000000000
Calculus and continuous change0000000000003

Problem inventory

IDProblemStatusGradeDomainTopicSkillsFlags
0The Zero Routethe-zero-route · rev 6publishedgrade-11
grade-12
ALGMJ.STR.ALG.SYSTEMS_LINEAR_ALGEBRAMJ.ALG.MATRIX.LINEAR_TRANSFORMATION
MJ.ALG.MATRIX.SYSTEMS_CONNECTION
0
1The Machine That Repeats Forevermachine-that-repeats-forever · rev 2publishedgrade-6
grade-7
grade-8
FUNMJ.STR.FUN.TRANSFORM_COMPOSE_INVERSEMJ.FUN.ITERATION.IDEMPOTENT_STABILIZATION0
2The Necklace Codenecklace-code · rev 6publishedgrade-3DISMJ.STR.DIS.PATTERNS_INVARIANTSMJ.DIS.CYCLE.POSITION.REPEATING
MJ.DIS.CYCLE.CATEGORY_COUNT
0
3Steve’s Big Digsteves-big-dig · rev 5publishedgrade-5MEA
NUM
DAT
MJ.STR.MEA.VOLUME_SURFACE_AREA
MJ.STR.NUM.FRACTIONS
MJ.STR.DAT.PROBABILITY
MJ.MEA.VOLUME.RECTANGULAR_PRISM.FORMULA
MJ.NUM.FRACTION.ONE_TENTH.OF_QUANTITY
MJ.PROB.EXPECTED_VALUE.NONWHOLE.INTERPRET
0
4The Chest Room Splitchest-room-split · rev 4publishedgrade-3OPSMJ.STR.OPS.MULTIPLICATION_DIVISION
MJ.STR.OPS.ADDITION_SUBTRACTION
MJ.OPS.DIV.INTERPRET.QUOTIENT
MJ.OPS.MULT.INTERPRET.PRODUCT
MJ.OPS.ADD_SUB.ONE_TWO_STEP.WITHIN_100
0
5Fence the Wheat Farmfence-the-wheat-farm · rev 4publishedgrade-3MEA
OPS
MJ.STR.MEA.AREA_PERIMETER
MJ.STR.OPS.ADDITION_SUBTRACTION
MJ.MEA.AREA.RECTANGLE.FORMULA
MJ.MEA.PERIMETER.POLYGON
MJ.OPS.ADD_SUB.ONE_TWO_STEP.WITHIN_100
0
6The Stained-Glass Windowstained-glass-window · rev 6publishedgrade-3NUM
OPS
MJ.STR.NUM.FRACTIONS
MJ.STR.OPS.ADDITION_SUBTRACTION
MJ.NUM.FRACTION.A_OVER_B
MJ.OPS.ADD_SUB.ONE_TWO_STEP.WITHIN_100
0
7Race the Sunsetrace-the-sunset · rev 6publishedgrade-3MEAMJ.STR.MEA.LENGTH_TIME_MONEY_MASSMJ.MEA.TIME.MINUTE.ELAPSED0
8The Ore Cart Graphore-cart-picture-graph · rev 5publishedgrade-3DAT
OPS
MJ.STR.DAT.EARLY_DATA_DISPLAYS
MJ.STR.OPS.MULTIPLICATION_DIVISION
MJ.STR.OPS.ADDITION_SUBTRACTION
MJ.DAT.SCALED.GRAPH
MJ.OPS.MULT.INTERPRET.PRODUCT
MJ.OPS.ADD_SUB.ONE_TWO_STEP.WITHIN_100
0
9Nurse Joy’s Poké Ball Packsnurse-joys-poke-ball-packs · rev 3publishedgrade-2NUM
OPS
MJ.STR.NUM.PLACE_VALUE_NUMERATION
MJ.STR.OPS.ADDITION_SUBTRACTION
MJ.NUM.PLACE_VALUE.COMPOSE_DECOMPOSE.1000
MJ.OPS.ADD_SUB.ONE_TWO_STEP.WITHIN_100
0
10Rotom’s Pokédex Rectanglerotoms-pokedex-rectangle · rev 7publishedgrade-2NUM
OPS
MJ.STR.NUM.PLACE_VALUE_NUMERATION
MJ.STR.OPS.ADDITION_SUBTRACTION
MJ.NUM.PLACE_VALUE.HUNDRED_CHART.STRUCTURE
MJ.OPS.ADD_SUB.ONE_TWO_STEP.WITHIN_100
0
11The Infinite Factorization Glitchinfinite-factorization-glitch · rev 2publishedgrade-8
grade-9
grade-10
NUMMJ.STR.NUM.NUMBER_THEORYMJ.NUM.FACTORIZATION.UNITS_ASSOCIATES0
12The Ironclad’s Hidden Rest Siteironclads-hidden-rest-site · rev 4publishedgrade-2NUM
OPS
MJ.STR.NUM.PLACE_VALUE_NUMERATION
MJ.STR.OPS.MULTIPLICATION_DIVISION
MJ.NUM.NUMBER_LINE.WHOLE.100
MJ.OPS.DOUBLE_HALVE.WHOLE_NUMBER
0
13Lakitu’s Hidden Boost Settingmarios-last-unreachable-checkpoint · rev 4publishedgrade-3NUM
OPS
MJ.STR.NUM.PLACE_VALUE_NUMERATION
MJ.STR.NUM.NUMBER_THEORY
MJ.STR.OPS.MULTIPLICATION_DIVISION
MJ.STR.OPS.ADDITION_SUBTRACTION
MJ.NUM.NUMBER_LINE.WHOLE.100
MJ.NUM.PARITY.EVEN_ODD
MJ.OPS.MULT.INTERPRET.PRODUCT
MJ.OPS.ADD_SUB.ONE_TWO_STEP.WITHIN_100
0
14The Fire-and-Frost Dragon Bridgefire-and-frost-dragon-bridge · rev 3publishedgrade-5NUM
OPS
GEO
MJ.STR.NUM.COUNTING_CARDINALITY
MJ.STR.NUM.PLACE_VALUE_NUMERATION
MJ.STR.OPS.FOUNDATIONS
MJ.STR.GEO.SHAPES_SPACE
MJ.NUM.COUNT.ONE_TO_ONE
MJ.NUM.COUNT.CARDINALITY
MJ.NUM.COUNT.OBJECTS.20
MJ.NUM.COMPARE.GROUPS
MJ.OPS.COMPOSE_DECOMPOSE.WITHIN_5
MJ.GEO.POSITION.DESCRIBE
0
15Firefly Jarsfive-firefly-jars · rev 3publishedgrade-kNUM
OPS
MJ.STR.NUM.COUNTING_CARDINALITY
MJ.STR.NUM.PLACE_VALUE_NUMERATION
MJ.STR.OPS.FOUNDATIONS
MJ.NUM.COUNT.ONE_TO_ONE
MJ.NUM.COUNT.CARDINALITY
MJ.NUM.COUNT.OBJECTS.20
MJ.NUM.COMPARE.GROUPS
MJ.OPS.COMPOSE_DECOMPOSE.WITHIN_5
0
17Corner Courtyardcorner-courtyard · rev 3publishedgrade-3MEAMJ.STR.MEA.AREA_PERIMETERMJ.MEA.AREA.RECTANGLE.FORMULA0
19Pen Nib’s First Movepen-nibs-first-move · rev 5publishedgrade-3OPSMJ.STR.OPS.MULTIPLICATION_DIVISIONMJ.OPS.DOUBLE_HALVE.WHOLE_NUMBER0
20The Defect’s 100th Orbdefects-100th-orb · rev 4publishedgrade-3DISMJ.STR.DIS.PATTERNS_INVARIANTSMJ.DIS.CYCLE.POSITION.REPEATING0
21Neow’s Counterexampleneows-every-hand-claim · rev 3publishedgrade-3OPSMJ.STR.OPS.ADDITION_SUBTRACTIONMJ.OPS.ADD_SUB.ONE_TWO_STEP.WITHIN_1000
22Jar Jar’s Ruination Rulejar-jars-ruination-rule · rev 2publishedgrade-5NUMMJ.STR.NUM.FRACTIONSMJ.NUM.FRACTION.ONE_TENTH.OF_QUANTITY0
23Grogu’s Force Sortgrogus-force-sort · rev 4publishedgrade-2
grade-3
GEOMJ.STR.GEO.SHAPES_SPACEMJ.GEO.POSITION.DESCRIBE0
27The Knight’s Missing Numbersknights-missing-numbers · rev 2publishedgrade-4DISMJ.STR.DIS.COMBINATORICSMJ.DIS.COUNT.SYSTEMATIC0
28Knightmareknightmare · rev 3publishedgrade-6
grade-7
DISMJ.STR.DIS.COMBINATORICSMJ.DIS.COUNT.SYSTEMATIC0
33One Step Past Omegaone-step-past-omega · rev 2publishedgrade-10
grade-11
grade-12
ALGMJ.STR.ALG.ALGEBRAIC_STRUCTURESMJ.ALG.STRUCTURE.BINARY_OPERATION0
34Least Action Lableast-action-lab · rev 2publishedgrade-7ALGMJ.STR.ALG.EXPRESSIONSMJ.ALG.EXPRESSION.EVALUATE0
35Rook’s Halfway Signalrooks-halfway-signal · rev 2publishedgrade-9
grade-10
DISMJ.STR.DIS.ALGORITHMS_RECURSIONMJ.DIS.RECURRENCE.RECURSION0
36The Orbit of ithe-orbit-of-i · rev 7publishedgrade-10
grade-11
NUMMJ.STR.NUM.EXTENDED_SYSTEMSMJ.NUM.COMPLEX.ARITHMETIC0
37The Safe Zonethe-safe-zone · rev 2publishedgrade-9
grade-10
DISMJ.STR.DIS.ALGORITHMS_RECURSIONMJ.DIS.RECURRENCE.RECURSION0
38The Last Safe Positive Real Numbermandelbrot-positive-real-endpoint · rev 2publishedgrade-10
grade-11
ALGMJ.STR.ALG.EXPRESSIONSMJ.ALG.EXPRESSION.REWRITE.PURPOSE0
39How Far East Can the Mandelbrot Set Go?how-far-east-mandelbrot · rev 1publishedgrade-11
grade-12
NUM
ALG
MJ.STR.NUM.EXTENDED_SYSTEMS
MJ.STR.ALG.EXPRESSIONS
MJ.NUM.COMPLEX.ARITHMETIC
MJ.ALG.EXPRESSION.REWRITE.PURPOSE
0
40U + Me = Us: The Screen Testu-plus-me-equals-us · rev 1publishedgrade-4
grade-5
DISMJ.STR.DIS.COMBINATORICSMJ.DIS.COUNT.SYSTEMATIC0
41Action Between Framesaction-between-frames · rev 2publishedgrade-12CALCMJ.STR.CALC.INTEGRALS_FTC
MJ.STR.CALC.LIMITS_CONTINUITY
MJ.CALC.INTEGRAL.ACCUMULATION_AREA
MJ.CALC.LIMIT.CONCEPT
0
43The Fullest Gallery Casefullest-gallery-case · rev 1publishedgrade-3OPS
NUM
MJ.STR.OPS.ADDITION_SUBTRACTION
MJ.STR.NUM.PLACE_VALUE_NUMERATION
MJ.OPS.ADD_SUB.FLUENT.WITHIN_1000
MJ.NUM.COMPARE.THREE_DIGIT
0
44Rook's Gallery Recordrooks-gallery-record · rev 1publishedgrade-2
grade-3
OPS
ALG
MJ.STR.OPS.ADDITION_SUBTRACTION
MJ.STR.ALG.FOUNDATIONS
MJ.OPS.ADD_SUB.REPRESENT
MJ.ALG.EQUALITY.MEANING
0
45Jules's Nested Workshop Notejules-nested-workshop-note · rev 1publishedgrade-4
grade-5
ALGMJ.STR.ALG.EXPRESSIONSMJ.ALG.EXPRESSION.GROUPING_SYMBOLS0
46The Observatory's Inside-Out Signalobservatory-inside-out-signal · rev 1publishedgrade-10
grade-11
grade-12
FUNMJ.STR.FUN.TRANSFORM_COMPOSE_INVERSEMJ.FUN.COMPOSE
MJ.FUN.INVERSE
0
47The Museum Displaymuseum-display · rev 4publishedgrade-3OPSMJ.STR.OPS.MULTIPLICATION_DIVISION
MJ.STR.OPS.ADDITION_SUBTRACTION
MJ.OPS.MULT.INTERPRET.PRODUCT
MJ.OPS.DIV.INTERPRET.QUOTIENT
MJ.OPS.ADD_SUB.ONE_TWO_STEP.WITHIN_100
0
48Pairing Packetspairing-packets · rev 3publishedgrade-2NUMMJ.STR.NUM.NUMBER_THEORYMJ.NUM.PARITY.EVEN_ODD0
49The Oran Berry Passing Circleberry-passing-circle · rev 5publishedgrade-2OPS
NUM
MJ.STR.OPS.MULTIPLICATION_DIVISION
MJ.STR.NUM.NUMBER_THEORY
MJ.STR.OPS.ADDITION_SUBTRACTION
MJ.OPS.DOUBLE_HALVE.WHOLE_NUMBER
MJ.NUM.PARITY.EVEN_ODD
MJ.OPS.ADD_SUB.ONE_TWO_STEP.WITHIN_100
0
50One Knob, Infinitely Many Historiesone-knob-many-histories · rev 2publishedgrade-12CALCMJ.STR.CALC.DERIVATIVES
MJ.STR.CALC.INTEGRALS_FTC
MJ.CALC.DERIVATIVE.APPLICATION
MJ.CALC.INTEGRAL.ACCUMULATION_AREA
0
51The Dangerous-ers’ Drop-Line Testdangerous-ers-safe-jump-test · rev 1publishedgrade-3OPSMJ.STR.OPS.ADDITION_SUBTRACTIONMJ.OPS.ADD_SUB.ONE_TWO_STEP.WITHIN_1000
54Jules and the Crooked Shadow Screenjules-crooked-shadow-screen · rev 2publishedgrade-3
grade-4
MEAMJ.STR.MEA.AREA_PERIMETERMJ.MEA.AREA_PERIMETER.DISTINGUISH
MJ.MEA.PERIMETER.POLYGON
MJ.MEA.AREA.UNIT_SQUARE
0
55Steve’s Chestful Challengesteves-bigger-dig · rev 1publishedgrade-5MEA
OPS
MJ.STR.MEA.VOLUME_SURFACE_AREA
MJ.STR.OPS.MULTIPLICATION_DIVISION
MJ.STR.OPS.MULTIOPERATION
MJ.MEA.VOLUME.UNIT_CUBE
MJ.MEA.VOLUME.RECTANGULAR_PRISM.FORMULA
MJ.OPS.MULT.STANDARD_ALGORITHM.MULTIDIGIT
MJ.OPS.DIV.UP_TO_4_BY_2
MJ.OPS.FOUR_OPERATIONS.MULTISTEP.REMAINDER
0
56The Ouroboros Bindingthe-ouroboros-binding · rev 4publishedgrade-11
grade-12
DIS
NUM
MJ.STR.DIS.ALGORITHMS_RECURSION
MJ.STR.NUM.NUMBER_THEORY
MJ.STR.DIS.COMBINATORICS
MJ.DIS.RECURRENCE.RECURSION
MJ.NUM.MODULAR.ARITHMETIC
MJ.DIS.PIGEONHOLE.INTUITIVE
0
57Make the Calculation Plan Visiblemake-the-calculation-plan-visible · rev 1publishedgrade-5ALGMJ.STR.ALG.EXPRESSIONSMJ.ALG.EXPRESSION.GROUPING_SYMBOLS0
59The Midnight Hollowthe-midnight-hollow · rev 2publishedgrade-6ALG
RAT
NUM
MJ.STR.ALG.FOUNDATIONS
MJ.STR.RAT.PERCENT
MJ.STR.NUM.FRACTIONS
MJ.ALG.PATTERN.ARITHMETIC.EXPLAIN
MJ.RAT.PERCENT.PER_HUNDRED
MJ.NUM.FRACTION.MULT.SCALING_EFFECT
0
111The Missing Rungmissing-rung · rev 2publishedgrade-8
grade-9
NUMMJ.STR.NUM.EXPONENTS_NOTATIONMJ.NUM.EXPONENT.INTEGER.PROPERTIES0
261Shedletsky’s Self-Checking Formula Cabinetshedletskys-suspicious-formula-cabinet · rev 6publishedgrade-12ALG
NUM
FUN
CALC
DIS
MEA
DAT
MJ.STR.ALG.SYSTEMS_LINEAR_ALGEBRA
MJ.STR.NUM.EXTENDED_SYSTEMS
MJ.STR.FUN.FAMILIES
MJ.STR.CALC.DERIVATIVES
MJ.STR.DIS.COMBINATORICS
MJ.STR.CALC.INTEGRALS_FTC
MJ.STR.MEA.UNITS_CONVERSION
MJ.STR.DAT.PROBABILITY
MJ.STR.CALC.LIMITS_CONTINUITY
MJ.STR.DIS.PATTERNS_INVARIANTS
MJ.ALG.MATRIX.OPERATIONS
MJ.NUM.VECTOR.ARITHMETIC
MJ.FUN.LOGARITHM.DEFINITION
MJ.NUM.COMPLEX.ARITHMETIC
MJ.CALC.DERIVATIVE.RULES
MJ.DIS.COUNT.PERMUTATION_COMBINATION
MJ.CALC.ANTIDERIVATIVE.RULES
MJ.MEA.UNIT_CONVERSION.RATIO_REASONING
MJ.PROB.EXPECTED_VALUE.DECISION
MJ.CALC.LIMIT.CONCEPT
MJ.DIS.INVARIANT.OVERLAPPING_CHECKS.LOCATE_ERROR
0
404404: The Address That Survivedthe-page-that-proves-itself-missing · rev 12publishedgrade-5DISMJ.STR.DIS.LOGIC_PROOFMJ.DIS.LOGIC.ELIMINATION0
1111The Empty Arrangementempty-arrangement · rev 2publishedgrade-8
grade-9
grade-10
DISMJ.STR.DIS.COMBINATORICSMJ.DIS.COUNT.PERMUTATION_COMBINATION0
11111Four Ways Back to Onefour-ways-back-to-one · rev 2publishedgrade-9
grade-10
grade-11
grade-12
NUMMJ.STR.NUM.NUMBER_THEORYMJ.NUM.MODULAR.ARITHMETIC0
111111Can There Be Two Ones?can-there-be-two-ones · rev 2publishedgrade-9
grade-10
grade-11
grade-12
ALGMJ.STR.ALG.ALGEBRAIC_STRUCTURESMJ.ALG.STRUCTURE.BINARY_OPERATION0
1111111The Circle That Returnscircle-that-returns · rev 2publishedgrade-11
grade-12
NUM
ALG
MJ.STR.NUM.EXTENDED_SYSTEMS
MJ.STR.ALG.ALGEBRAIC_STRUCTURES
MJ.NUM.COMPLEX.POLAR
MJ.ALG.STRUCTURE.GROUP_AXIOMS_SYMMETRY
0
11111111The Same Equation, Different Worldssame-equation-different-worlds · rev 2publishedgrade-11
grade-12
ALG
NUM
MJ.STR.ALG.SYSTEMS_LINEAR_ALGEBRA
MJ.STR.NUM.NUMBER_THEORY
MJ.ALG.MATRIX.OPERATIONS
MJ.NUM.MODULAR.ARITHMETIC
0
111111111Everything Points Hereeverything-points-here · rev 2publishedgrade-11
grade-12
ALGMJ.STR.ALG.CATEGORY_THEORYMJ.ALG.CATEGORY.TERMINAL_UNIQUE_ISOMORPHISM
MJ.ALG.CATEGORY.TERMINAL_OBJECT
0
1111111111Two Kinds of Onetwo-kinds-of-one · rev 2publishedgrade-12ALGMJ.STR.ALG.CATEGORY_THEORYMJ.ALG.CATEGORY.MONOIDAL_UNIT
MJ.ALG.CATEGORY.NATURAL_TRANSFORMATION
0
11111111111The Truth Inside Onetruth-inside-one · rev 2publishedgrade-12DISMJ.STR.DIS.CATEGORICAL_LOGICMJ.DIS.CATEGORICAL_LOGIC.HEYTING_NEGATION
MJ.DIS.CATEGORICAL_LOGIC.PRESHEAF_GLOBAL_TRUTH_VALUES
0