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Mathroom

Standards alignment

Summary

Practised skills are mapped to Common Core State Standards for Mathematics codes. The report describes practice coverage of the listed standards, not a formal assessment. The progress report shows each practised skill with its descriptor, its CCSS code, the number of attempts, the number correct, and a level band.

This page explains how that mapping is built, what the bands mean numerically, and where the claim stops.


What is mapped

Mathroom's question generator works from internal concept tags: a catalogue of specific mathematical skills. Each concept tag carries an authored mapping to:

Where a concept spans more than one standard, the mapping records the primary one. It does not attempt to list every standard a skill might touch.

All nine grade selections carry concept to standard mappings. Choose the learner’s current grade, 1 through 9, to practice math from the previous school year. Grade 1 practices kindergarten math.


The seven topic areas

Within every track, practice is organised into a Review starting point plus seven topic areas. These are stable navigation identities across all tracks: the concepts and representations inside them change with the grade.

  1. Rational numbers and number operations
  2. Ratios and proportional reasoning
  3. Percents
  4. Equations and expressions
  5. Geometry and measurement
  6. Statistics and probability
  7. Word problems and applied reasoning

A topic number is a navigation identity, not a claim that every grade receives the same problem. Grade 1's number work and Grade 8's number work share a lane, not a difficulty.


Example mappings

Examples from the same current mapping used in the report:

Selected gradeConceptCCSS codeDescriptor
Grade 1k-countK.CC.B.4Count objects and connect the count to a number
Grade 2add-within-201.OA.C.6Add and subtract within 20
Grade 6fraction-add-unlike5.NF.A.1Add fractions with unlike denominators
Grade 7one-step-equation6.EE.B.7Solve one step equations
Grade 9integer-exponents8.EE.A.1Apply the properties of integer exponents

Descriptors are Mathroom's own wording. They are not presented as verbatim standards text.

Coverage by grade selection

Selected school gradeMain practiceLevel 0 reviewMapped skill rows
Grade 1KindergartenSmall-number kindergarten foundations7
Grade 2Grade 1Kindergarten9
Grade 3Grade 2Grade 19
Grade 4Grade 3Grade 29
Grade 5Grade 4Grade 39
Grade 6Grade 5Grade 49
Grade 7Grade 6Grade 59
Grade 8Grade 7Grade 69
Grade 9Grade 8Grade 79

These are mapped skill rows, not a count of distinct standard codes. A skill can appear in more than one grade selection.


How to read the report

The progress report presents two different measures, and they answer different questions.

Topics show a numerical 0 to 100% mastery value. Skills and standards show bands: Not started, Emerging, Developing, Mastered.

Each topic also shows problems tried and correct. Each practised skill shows its CCSS code, attempts and correct answers.

What the bands mean, numerically. The bands come from the learning model's confidence estimate for that skill:

Band Meaning
Not started No attempts recorded for this skill
Emerging Model confidence below 0.60
Developing Model confidence from 0.60 to below 0.95
Mastered Model confidence at or above 0.95

The raw confidence value is not printed as a percentage; the band is the reported form.

One design decision worth knowing. Assisted answers do not enter the qualifying evidence these bands are calculated from while still earning ordinary answer rewards. Ordinary main-room answer currency and XP for owned companions remain available when using Show Steps. Assistance does not award an unearned first-attempt streak bonus, and an assisted boss answer costs no shield. When a learner opens the worked steps, that round becomes practice rather than assessment. Help is unlimited and never penalised. It does not feed the record. A learner cannot raise a band by asking for more help.


How the mapping is exercised

The mapping is typed against the concept tag catalogue, so a concept cannot be mapped to a code that does not exist in the catalogue, and the active skills used by each grade are checked against its published mapping.

The repository contains a sampling test that generates questions across every track, each of the seven topic areas, and three difficulty levels, with multiple samples per combination, checking that generated questions carry valid concept tags with resolvable standard mappings.

This describes the test's structure rather than reporting a result, because a passing test on a given day is not the same claim as continuous correctness.


Why practice comes from the previous school year

Choose the learner’s current grade, 1 through 9, to practice math from the previous school year. Grade 1 practices kindergarten math. The selected grade means the learner's current school grade. The practice curriculum is deliberately familiar material, with kindergarten as its earliest point.

Levels 1 through 7 stay within that prior year. Level 0 reviews one year earlier again; first graders start with small-number kindergarten foundations. Earlier prerequisite skills can also appear within those boundaries.

Scheduled review returns to familiar topics at one, three, seven and twenty one day intervals. This is practice inside a game, not a placement test or an official school result.

What is not claimed

Being specific about the limits is what makes the rest of this page usable.

No framework edition or adoption date. The mapping records CCSS codes. It does not record which edition, revision, or state adaptation those codes are drawn from, so no edition is claimed here. Do not read a state specific alignment into the codes.

No claim of complete curriculum coverage. Mathroom maps the standards it practises. It does not claim to cover every standard in a grade's full CCSS curriculum, and it should not be treated as a complete scope and sequence for any grade.

Not an assessment. The report summarises practice evidence. It is not a grade, a diagnosis, or a placement recommendation. The report describes practice coverage of the listed standards and carries a printed footnote saying so.

Not a substitute for your own judgement. A band is a summary of practice inside a game. Use it to choose what to work on next, not to decide what a learner knows.

Not independently verified against official standards text. The mappings record a closest primary code and a plain language descriptor written by us. Whether each mapping is substantively correct against the official published text of that standard has not been checked by an outside reviewer, and we do not claim it has. The complete table is published below precisely so that you can make that judgement yourself.


If the alignment doesn't fit your curriculum

Tell us. If a mapping looks wrong, if a code is a poor fit for the skill as practised, or if your scope and sequence needs something Mathroom doesn't currently practise, email hello@mathroom.fun.

A teacher who reads a mapping closely enough to disagree with it is exactly the person whose feedback improves it.


The complete mapping

Grade 1

ConceptCCSS codeDescriptor
k-countK.CC.B.4Count objects and connect the count to a number
k-compareK.CC.C.6Compare groups of up to ten objects
k-teenK.NBT.A.1Compose teen numbers from ten ones and further ones
k-composeK.OA.A.1Represent addition and subtraction with objects and equations
k-shapesK.G.B.4Describe and compare attributes of simple shapes
k-sortK.MD.B.3Sort objects into categories and count each category
k-storiesK.OA.A.2Solve addition and subtraction stories within ten

Grade 2

ConceptCCSS codeDescriptor
add-within-201.OA.C.6Add and subtract within 20
skip-count-patterns1.NBT.C.5Count on by ones and tens within 100
tens-ones-place1.NBT.B.2Understand two digit numbers as tens and ones
compare-two-digit1.NBT.B.3Compare two digit numbers using place value
missing-addend1.OA.D.8Find the unknown number in addition and subtraction equations
shape-attributes1.G.A.1Identify shapes by their defining attributes
clock-time-hours1.MD.B.3Tell time in hours and half hours
picture-graph-count1.MD.C.4Read and answer questions about simple picture graphs
addition-story1.OA.A.1Solve addition and subtraction story problems within 20

Grade 3

ConceptCCSS codeDescriptor
two-digit-add-sub2.NBT.B.5Add and subtract two digit numbers using place value
arrays-equal-groups2.OA.C.4Use arrays of rows and columns to find totals
coin-combinations2.MD.C.8Solve money problems with coins and dollars
place-value-hundreds2.NBT.A.1Understand three digit numbers as hundreds, tens, and ones
missing-add-sub2.OA.A.1Solve for unknowns in addition and subtraction within 100
length-measurement2.MD.A.1Measure lengths with appropriate units and tools
clock-time-five-minutes2.MD.C.7Tell time to the nearest five minutes
bar-graph-compare2.MD.D.10Read and compare data on bar graphs
two-step-add-sub-story2.OA.A.1Solve two step addition and subtraction story problems

Grade 4

ConceptCCSS codeDescriptor
unit-fractions3.NF.A.1Understand fractions as equal parts of a whole
fraction-number-line3.NF.A.2Place fractions on a number line
fraction-compare3.NF.A.3Compare fractions by reasoning about their size
multiplication-facts3.OA.C.7Fluently multiply and divide within 100
rounding-nearest-ten3.NBT.A.1Round whole numbers to the nearest ten
unknown-factor3.OA.A.4Find the unknown number in multiplication and division equations
area-perimeter3.MD.D.8Find area and perimeter of rectangles
scaled-graph3.MD.B.3Solve problems using scaled picture and bar graphs
multiplication-division-story3.OA.A.3Solve multiplication and division story problems

Grade 5

ConceptCCSS codeDescriptor
equivalent-fractions4.NF.A.1Recognize and generate equivalent fractions
fraction-add-like4.NF.B.3Add and subtract fractions with like denominators
mixed-improper4.NF.B.3Convert between mixed numbers and improper fractions
factor-pairs4.OA.B.4Find factor pairs of whole numbers
decimal-tenths4.NF.C.6Write fractions with denominator 10 as decimals
multi-step-number-sentence4.OA.A.3Solve multi step problems with whole number equations
angle-measure4.MD.C.7Add and subtract angle measures to find unknown angles
line-plot-fractions4.MD.B.4Read line plots with fraction measurements
multi-step-whole-number-story4.OA.A.3Solve multi step whole number story problems

Grade 6

ConceptCCSS codeDescriptor
fraction-add-unlike5.NF.A.1Add fractions with unlike denominators
equal-groups3.OA.A.3Solve equal group multiplication and division problems
tenths-to-decimal4.NF.C.6Convert tenths between fraction and decimal form
decimal-operations5.NBT.B.7Add, subtract, multiply, and divide decimals
missing-factor3.OA.B.6Understand division as a missing factor problem
coordinate-plane5.G.A.2Graph and interpret points in the first quadrant
prism-volume5.MD.C.5Find the volume of rectangular prisms
data-range4.MD.B.4Find differences between measurements in a line plot
multiplication-story5.NBT.B.5Solve multi step multiplication story problems

Grade 7

ConceptCCSS codeDescriptor
integer-number-line6.NS.C.6Locate positive and negative numbers on the number line
unit-rate6.RP.A.2Find and use unit rates
ratio-tables6.RP.A.3Use tables of equivalent ratios to solve problems
percent-of-number6.RP.A.3cFind a percent of a number
one-step-equation6.EE.B.7Solve one step equations
one-step-inequality6.EE.B.8Write and solve simple inequalities
triangle-area6.G.A.1Find the area of triangles
mean-average6.SP.B.5Find the mean (average) of a data set
two-step-story4.OA.A.3Solve multi step story problems with the four operations

Grade 8

ConceptCCSS codeDescriptor
signed-fraction-add-sub7.NS.A.1Add and subtract positive and negative fractions
integer-multiply-divide7.NS.A.2Multiply and divide positive and negative numbers
scale-ratios7.RP.A.2Recognize and use proportional relationships
percent-increase7.RP.A.3Solve percent increase problems
two-step-equation7.EE.B.4Solve two step equations
triangle-area6.G.A.1Find the area of triangles
mean-average6.SP.B.5Find the mean (average) of a data set
probability-simple7.SP.C.7Find probabilities of simple chance events
two-step-story4.OA.A.3Solve multi step story problems with the four operations

Grade 9

ConceptCCSS codeDescriptor
integer-exponents8.EE.A.1Apply the properties of integer exponents
scientific-notation8.EE.A.4Read, write, and multiply numbers in scientific notation
slope-two-points8.EE.B.6Find the slope of a line from two points
function-rules8.F.A.1Understand a function as a rule pairing each input with one output
percent-decrease7.RP.A.3Solve percent decrease problems
variables-both-sides8.EE.C.7Solve equations with variables on both sides
pythagorean-theorem8.G.B.7Apply the Pythagorean theorem to find side lengths
mean-missing-value6.SP.B.5Find a missing data value from a given mean
linear-story8.F.B.4Model linear relationships from story problems

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