Michigan Department of Education · Mathematics · K–12

Michigan K–12 Math Standards & Skills Domain-by-domain, grade-by-grade reference for the Michigan Math Standards (K through Algebra 2 + AP courses), with curated free resources for every skill, Troy SD curriculum overlay, and a secondary view of NWEA MAP Growth alignment.

NWEA MAP Growth Math · test families at a glance

Different MAP Growth Math tests cover different grade bands. A 5th grader is on the 2-5 form; a 6th grader moves to 6+. The instructional-area labels shift slightly between forms — here's the reference.

Test Grade Range Instructional Areas Notes
MAP Growth K-2 Math K – Gr 2
  • Operations & Algebraic Thinking
  • Number & Operations
  • Measurement & Data
  • Geometry
Audio-supported; visual-heavy items for emergent readers.
MAP Growth 2-5 Math Gr 2 – Gr 5
  • Operations & Algebraic Thinking
  • Number & Operations (includes Fractions)
  • Measurement & Data
  • Geometry
Fractions are folded into Number & Operations rather than getting their own area.
MAP Growth 6+ Math Gr 6 – HS (general math)
  • Operations & Algebraic Thinking (Expressions, Equations, Functions)
  • The Real & Complex Number System
  • Geometry
  • Statistics & Probability
Functions and Expressions/Equations both live under "OAT" in this form.
Course-Specific MAP Growth During HS course only
  • Algebra 1: Number & Quantity · Algebra (Structure / Equations) · Functions · Statistics & Probability
  • Geometry: Congruence · Similarity, Right Triangles & Trig · Circles · Coordinate Geometry · Measurement & Modeling
  • Algebra 2: Number & Quantity (incl. Complex) · Polynomial/Rational/Radical · Functions (incl. Trig) · Statistics & Probability
  • Integrated Math 1/2/3: Blended Algebra/Functions/Geometry/Statistics consistent with the integrated CCSS pathway
Used quarterly for in-course progress monitoring. Not for placement.

The matrix · jump to a grade

Searches across all grades.

Kindergarten

The K standards establish counting, one-to-one correspondence, and the very first operations within 10. NWEA MAP Growth K-2 Math covers these with audio support and visual items.

MDE Domain Key Standards Skills NWEA Test NWEA Area RIT Band Notes
Counting & Cardinality

K.CC.A.1–3
K.CC.B.4–5
K.CC.C.6–7

  • Count to 100
  • One-to-one correspondence
  • Compare quantities
K-2 Number & Operations <161 Distributed across Number & Ops items.
Operations & Algebraic Thinking

K.OA.A.1–5

  • Add/subtract within 10
  • Word problems with objects
K-2 Operations & Algebraic Thinking <161 Clean.
Number & Operations in Base Ten

K.NBT.A.1

  • Compose/decompose teen numbers (tens + ones)
K-2 Number & Operations <161 Clean.
Measurement & Data

K.MD.A.1–2
K.MD.B.3

  • Compare attributes (length, weight)
  • Classify and count
K-2 Measurement & Data <161 Clean.
Geometry

K.G.A.1–3
K.G.B.4–6

  • Identify shapes
  • Position words
  • Compose simple shapes
K-2 Geometry <161 Clean.

Grade 1

MDE DomainKey StandardsSkillsNWEA TestNWEA AreaRIT BandNotes
Operations & Algebraic Thinking

1.OA.A.1–2
1.OA.B.3–4
1.OA.C.5–6
1.OA.D.7–8

  • Add/subtract within 20
  • Properties (commutative, associative)
  • Word problems
K-2 Operations & Algebraic Thinking 161–180 Clean.
Number & Operations in Base Ten

1.NBT.A.1
1.NBT.B.2–3
1.NBT.C.4–6

  • Place value to 100
  • Add within 100
K-2 Number & Operations 161–180 Clean.
Measurement & Data

1.MD.A.1–2
1.MD.B.3
1.MD.C.4

  • Length
  • Tell time to half hour
  • Data
K-2 Measurement & Data 161–180 Clean.
Geometry

1.G.A.1–3

  • Attributes
  • Equal shares (halves, fourths)
K-2 Geometry 161–180 Clean.

Grade 2

Transition grade. Districts may use either the K-2 or 2-5 form depending on student readiness.

MDE DomainKey StandardsSkillsNWEA TestNWEA AreaRIT BandNotes
Operations & Algebraic Thinking

2.OA.A.1
2.OA.B.2
2.OA.C.3–4

  • Fluent +/− within 20
  • Foundations of multiplication (arrays, equal groups)
K-2 or 2-5 Operations & Algebraic Thinking 171–190 Form depends on district.
Number & Operations in Base Ten

2.NBT.A.1–4
2.NBT.B.5–9

  • Place value to 1000
  • +/− within 1000
K-2 or 2-5 Number & Operations 171–190 Clean.
Measurement & Data

2.MD.A.1–4
2.MD.B.5–6
2.MD.C.7–8
2.MD.D.9–10

  • Measure length
  • Time to 5 min
  • Money
  • Data
K-2 or 2-5 Measurement & Data 171–190 Clean.
Geometry

2.G.A.1–3

  • Shapes
  • Partition into halves/thirds/fourths
K-2 or 2-5 Geometry 171–190 Clean.

Grade 3

Multiplication, division, and the first formal introduction of fractions as numbers.

MDE DomainKey StandardsSkillsNWEA TestNWEA AreaRIT BandNotes
Operations & Algebraic Thinking

3.OA.A.1–4
3.OA.B.5–6
3.OA.C.7
3.OA.D.8–9

  • Multiply/divide within 100
  • Properties of operations
  • Multistep problems
2-5 Operations & Algebraic Thinking 181–200 Clean.
Number & Operations in Base Ten

3.NBT.A.1–3

  • Round
  • +/− within 1000
  • Multiply by multiples of 10
2-5 Number & Operations 181–200 Clean.
Number & Operations · Fractions

3.NF.A.1–3

  • Unit fractions
  • Equivalent fractions
  • Fractions on the number line
2-5 Number & Operations 181–205 NWEA folds Fractions into "Number & Operations."
Measurement & Data

3.MD.A.1–2
3.MD.B.3–4
3.MD.C.5–7
3.MD.D.8

  • Time, mass, volume
  • Area
  • Perimeter
  • Data
2-5 Measurement & Data 181–200 Clean.
Geometry

3.G.A.1–2

  • Categories of shapes
  • Partition by area
2-5 Geometry 181–200 Clean.

Grade 4

MDE DomainKey StandardsSkillsNWEA TestNWEA AreaRIT BandNotes
Operations & Algebraic Thinking

4.OA.A.1–3
4.OA.B.4
4.OA.C.5

  • Multistep problems
  • Factors & multiples
  • Patterns
2-5 Operations & Algebraic Thinking 191–210 Clean.
Number & Operations in Base Ten

4.NBT.A.1–3
4.NBT.B.4–6

  • Multi-digit multiplication
  • Multi-digit division
2-5 Number & Operations 191–210 Clean.
Number & Operations · Fractions

4.NF.A.1–2
4.NF.B.3–4
4.NF.C.5–7

  • Equivalence
  • +/− fractions
  • Multiply fraction by whole
  • Decimal notation
2-5 Number & Operations 195–215 Folded into Number & Operations.
Measurement & Data

4.MD.A.1–3
4.MD.B.4
4.MD.C.5–7

  • Conversions
  • Line plots
  • Angles (measure & sketch)
2-5 Measurement & Data 191–210 Clean.
Geometry

4.G.A.1–3

  • Lines, angles
  • Classify shapes
  • Symmetry
2-5 Geometry 191–210 Clean.

Grade 5

Decimals, fraction operations, coordinate plane (Q1), and volume.

MDE DomainKey StandardsSkillsNWEA TestNWEA AreaRIT BandNotes
Operations & Algebraic Thinking

5.OA.A.1–2
5.OA.B.3

  • Order of operations
  • Numerical patterns
  • Coordinate pairs from rules
2-5 or 6+ Operations & Algebraic Thinking 201–220 Clean.
Number & Operations in Base Ten

5.NBT.A.1–4
5.NBT.B.5–7

  • Decimal place value
  • Operations with decimals to hundredths
2-5 or 6+ Number & Operations / Real Number System 201–220 Crosses test boundary.
Number & Operations · Fractions

5.NF.A.1–2
5.NF.B.3–7

  • +/− with unlike denominators
  • Multiply/divide fractions
2-5 or 6+ Number & Operations / Real Number System 205–225 Crosses test boundary.
Measurement & Data

5.MD.A.1
5.MD.B.2
5.MD.C.3–5

  • Conversions
  • Line plots with fractions
  • Volume (rectangular prisms)
2-5 or 6+ Measurement & Data → Geometry 201–220 Volume migrates to Geometry on the 6+ test.
Geometry

5.G.A.1–2
5.G.B.3–4

  • Coordinate plane (Q1)
  • Classify 2D figures (hierarchy)
2-5 or 6+ Geometry 201–220 Clean.

Grade 6

Ratios, the four-quadrant plane, signed numbers, and the first formal equations.

MDE DomainKey StandardsSkillsNWEA TestNWEA AreaRIT BandNotes
Ratios & Proportional Relationships

6.RP.A.1–3

  • Ratio language
  • Unit rate
  • Percent
6+ OAT / Real & Complex Number System 211–225 Distributed — items split between OAT and RCNS.
The Number System

6.NS.A.1
6.NS.B.2–4
6.NS.C.5–8

  • Divide fractions
  • Integers
  • Rationals on number line
6+ Real & Complex Number System 211–225 Clean.
Expressions & Equations

6.EE.A.1–4
6.EE.B.5–8
6.EE.C.9

  • Variables
  • One-step equations
  • Inequalities
6+ Operations & Algebraic Thinking 211–225 Clean.
Geometry

6.G.A.1–4

  • Area of polygons
  • Surface area
  • Volume of right prisms
6+ Geometry 211–225 Clean.
Statistics & Probability

6.SP.A.1–3
6.SP.B.4–5

  • Statistical questions
  • Measures of center & variability
6+ Statistics & Probability 211–225 Clean.

Grade 7

MDE DomainKey StandardsSkillsNWEA TestNWEA AreaRIT BandNotes
Ratios & Proportional Relationships

7.RP.A.1–3

  • Proportional relationships
  • Multistep ratio & percent
6+ Operations & Algebraic Thinking 215–230 Distributed across OAT and RCNS.
The Number System

7.NS.A.1–3

  • Operations on rationals (incl. negatives)
6+ Real & Complex Number System 215–230 Clean.
Expressions & Equations

7.EE.A.1–2
7.EE.B.3–4

  • Equivalent expressions
  • Multistep equations & inequalities
6+ Operations & Algebraic Thinking 215–230 Clean.
Geometry

7.G.A.1–3
7.G.B.4–6

  • Scale drawings
  • Circles
  • Cross-sections
  • Volume / SA
6+ Geometry 215–230 Clean.
Statistics & Probability

7.SP.A.1–2
7.SP.B.3–4
7.SP.C.5–8

  • Sampling
  • Comparative inference
  • Probability models
6+ Statistics & Probability 215–230 Clean.

Grade 8

Functions emerge as a formal concept; transformations introduce slope geometrically; Pythagorean theorem.

MDE DomainKey StandardsSkillsNWEA TestNWEA AreaRIT BandNotes
The Number System

8.NS.A.1–2

  • Rational vs. irrational
  • Estimate irrationals
6+ Real & Complex Number System 220–240 Clean.
Expressions & Equations

8.EE.A.1–4
8.EE.B.5–6
8.EE.C.7–8

  • Exponent rules
  • Scientific notation
  • Linear equations & systems
6+ Operations & Algebraic Thinking 220–240 Clean.
Functions

8.F.A.1–3
8.F.B.4–5

  • Function definition
  • Linear functions
  • Qualitative graph descriptions
6+ Operations & Algebraic Thinking 220–240 Folded into OAT in 6+ form.
Geometry

8.G.A.1–5
8.G.B.6–8
8.G.C.9

  • Transformations
  • Congruence/similarity
  • Pythagorean theorem
  • Volume of cones, cylinders, spheres
6+ Geometry 220–240 Clean.
Statistics & Probability

8.SP.A.1–4

  • Scatter plots
  • Line of fit
  • Two-way tables
6+ Statistics & Probability 220–240 Clean.

Algebra 1 · Gr 8 or 9

High school is organized by conceptual category, not grade. Algebra 1 typically draws from Number & Quantity, Algebra, Functions, and Statistics & Probability.

Conceptual CategoryKey StandardsSkillsNWEA TestNWEA AreaRIT BandNotes
Number & Quantity

N-RN.A, N-RN.B
N-Q.A

  • Rational exponents
  • Units in modeling
Course-Specific (or 6+) Number & Quantity / Real Number System 225–245 Course-Specific test best aligned.
Algebra

A-SSE.A–B
A-APR.A
A-CED.A
A-REI.A–D

  • Interpret/manipulate expressions
  • Create equations
  • Solve linear & quadratic equations
Course-Specific: Algebra 1 Algebra: Equations & Inequalities · Seeing Structure in Expressions 225–250 In-course progress monitoring.
Functions

F-IF.A–C
F-BF.A
F-LE.A–B

  • Function notation
  • Key features of graphs
  • Build/transform functions
  • Linear vs. exponential
Course-Specific: Algebra 1 Functions 225–250 Clean.
Statistics & Probability

S-ID.A–C

  • Univariate distributions
  • Bivariate data
  • Correlation/causation
Course-Specific: Algebra 1 Statistics & Probability 225–250 Clean.

Geometry · Gr 9 or 10

Conceptual CategoryKey StandardsSkillsNWEA TestNWEA AreaRIT BandNotes
Congruence

G-CO.A–D

  • Rigid motions
  • Congruence proofs
  • Constructions
Course-Specific: Geometry Congruence 230–255 Clean.
Similarity, Right Triangles, & Trig

G-SRT.A–C

  • Similarity
  • Trig ratios
  • Pythagorean applications
Course-Specific: Geometry Similarity, Right Triangles, & Trigonometry 230–255 Clean.
Circles

G-C.A–B

  • Circle theorems
  • Arcs, angles, sectors
Course-Specific: Geometry Circles 230–255 Clean.
Expressing Properties with Equations

G-GPE.A–B

  • Coordinate proofs
  • Equations of circles, parabolas
Course-Specific: Geometry Expressing Geometric Properties with Equations 230–255 Clean.
Measurement & Modeling

G-GMD.A–B
G-MG.A

  • Volume
  • Cross-sections
  • Modeling with geometry
Course-Specific: Geometry Geometric Measurement and Dimension · Modeling with Geometry 230–255 Clean.
Conditional Probability

S-CP.A–B

  • Conditional probability
  • Independence
Course-Specific: Geometry (varies) Statistics & Probability 230–255 Some districts place S-CP in Geometry, others in Algebra 2.

Algebra 2 · Gr 10 or 11

Conceptual CategoryKey StandardsSkillsNWEA TestNWEA AreaRIT BandNotes
Number & Quantity

N-CN.A–C
N-RN.A

  • Complex numbers
  • Advanced exponent topics
Course-Specific: Algebra 2 Number & Quantity (incl. Complex Number System) 235–260 Clean.
Algebra

A-SSE.B
A-APR.B–D
A-CED.A
A-REI.A–D

  • Polynomial / rational / radical operations
  • Advanced equation solving
Course-Specific: Algebra 2 Polynomial, Rational, & Radical Expressions / Equations 235–260 Clean.
Functions

F-IF.B–C
F-BF.A–B
F-LE.A
F-TF.A–B

  • Polynomial, rational, exponential, logarithmic, trig functions
Course-Specific: Algebra 2 Functions (incl. Trig) 235–260 Clean.
Statistics & Probability

S-ID.A–B
S-IC.A–B

  • Distributions
  • Sampling & experiments
  • Inference
Course-Specific: Algebra 2 Statistics & Probability 235–260 Clean.

Pre-Calculus / AP Precalculus · Gr 10–11

College Board released AP Precalculus in 2023. Topics: polynomial & rational functions, exponential & logarithmic functions, trigonometric & polar functions, functions as models. NWEA MAP Growth does not cover this content (above the 6+ test ceiling).

Conceptual CategoryKey StandardsSkillsNWEA TestNWEA AreaRIT BandNotes
Polynomial & Rational Functions

F-IF.B.4–6
F-IF.C.7c
A-APR.B.3
A-APR.D.6

  • Identify zeros, end behavior
  • Graph polynomial & rational functions
  • Simplify rational expressions
Not assessed Above MAP ceiling.
Exponential & Logarithmic

F-LE.A.1–4
F-BF.B.5
F-IF.C.8.b

  • Model exponential growth/decay
  • Solve exponential and logarithmic equations
  • Inverse functions
Not assessed Above MAP ceiling.
Trigonometric & Polar Functions

F-TF.A.1–4
F-TF.B.5–7
F-TF.C.8

  • Radian measure, unit circle
  • Sinusoidal modeling
  • Trig identities; polar coordinates
Not assessed Above MAP ceiling.
Functions as Models

F-IF.B.4
F-LE.A.2
A-CED.A.1–2

  • Choose function family for context
  • Build & interpret models
  • Compose & transform functions
Not assessed Above MAP ceiling.

AP Calculus AB · Gr 11–12

Equivalent to one semester of college calculus. Eight units (Big Ideas: Change, Limits, Analysis of Functions). NWEA does not assess.

Unit / TopicKey ConceptsSkillsNWEA TestNWEA AreaRIT BandNotes
Limits & Continuity

Unit 1
Big Idea: Limits

  • Compute limits algebraically and graphically
  • Continuity and IVT
  • Limits at infinity, asymptotes
Not assessed Foundational.
Differentiation: Definition & Properties

Units 2–3
Big Idea: Change

  • Definition of derivative
  • Power, product, quotient, chain rules
  • Implicit differentiation; inverse functions
Not assessed
Applications of Differentiation

Units 4–5
Big Idea: Analysis of Functions

  • Related rates; linear approximation
  • Mean Value Theorem; extrema
  • Concavity; optimization
Not assessed
Integration & Accumulation

Units 6–8
Big Idea: Change

  • Riemann sums; Fundamental Theorem of Calculus
  • U-substitution; integration techniques
  • Areas, volumes, accumulation
  • Separable differential equations
Not assessed

AP Calculus BC · Gr 11–12

Equivalent to two semesters of college calculus. Includes all AP Calc AB content plus parametric / polar / vector functions and infinite sequences & series. Ten units total.

Unit / TopicKey ConceptsSkillsNWEA TestNWEA AreaRIT BandNotes
All AP Calc AB Content

Units 1–8

  • Limits & continuity
  • Differentiation & applications
  • Integration & accumulation
  • Differential equations
Not assessed See AB section.
Parametric, Polar, Vector-Valued Functions

Unit 9
Big Idea: Analysis

  • Derivatives & integrals of parametric functions
  • Polar curves: area, arc length
  • Vector-valued functions
Not assessed BC-only content.
Infinite Sequences & Series

Unit 10
Big Idea: Limits

  • Convergence tests
  • Power series, Taylor & Maclaurin series
  • Lagrange error bound
Not assessed BC-only content.

AP Statistics · Gr 10–12

Equivalent to a one-semester college intro statistics course. Open to students after Algebra 2. Nine units organized into four big ideas: Variation & Distribution, Patterns & Uncertainty, Data-Based Predictions, Decisions & Conclusions, Probability & Random Variables.

Unit / TopicKey StandardsSkillsNWEA TestNWEA AreaRIT BandNotes
Exploring Data (one variable)

S-ID.A.1–4

  • Describe distributions (shape, center, spread)
  • Boxplots, histograms, dot plots
  • z-scores; normal model
Not assessed Builds on Algebra 1 stats.
Exploring Data (two variables)

S-ID.B.5–9
S-ID.C.7–9

  • Scatter plots, correlation
  • Least-squares regression
  • Residuals; influential points
Not assessed
Sampling & Experimentation

S-IC.A.1–2
S-IC.B.3–6

  • Sampling design; bias
  • Experiments vs. observational studies
  • Random assignment, control, blocking
Not assessed
Probability, Random Variables & Distributions

S-CP.A.1–5
S-MD.A.1–4

  • Probability rules; conditional probability
  • Discrete & continuous random variables
  • Binomial, geometric, normal distributions
Not assessed
Inference (means, proportions, regression)

S-IC.B.4–6

  • Confidence intervals
  • Hypothesis testing (z, t, χ²)
  • Inference for slope of regression
Not assessed College-level.

Throughlines · single concepts that thread K → 12

Seven concepts that evolve continuously from kindergarten through AP-level mathematics, and consistently land in a particular NWEA instructional area at each stage (where MAP coverage exists).

1. OAT → Expressions & Equations → Algebra

K–5: Operations & Algebraic Thinking domain
6–7: Expressions & Equations (6.EE, 7.EE)
8: Expressions & Equations + Functions (8.EE, 8.F)
HS: Algebra (A-SSE, A-APR, A-CED, A-REI) and Functions (F-IF, F-BF, F-LE)
AP: Pre-Calc / AP Precalc deepens function families; AP Calc applies algebra to limits and derivatives
NWEA: "OAT" → "OAT / Expressions & Equations" (6+) → "Algebra" + "Functions" (Course-Specific)
The spine of K–12 algebra readiness. Growth in OAT can be tracked from kindergarten through MAP's ceiling, then handed off to AP coursework.

2. Number Sense → Real Numbers → Complex Numbers → Limits

K–2: Counting and Cardinality + NBT
3–5: NBT + Fractions
6–7: The Number System (rationals, integers)
8: Number System (irrationals)
HS: N-RN, N-CN (complex), N-VM (vectors)
AP Calc: The number line becomes the foundation for limits, continuity, and convergence of series
NWEA: "Number & Operations" → "Real & Complex Number System" → "Number & Quantity"
Most stable longitudinal signal across all MAP tests; ends at MAP ceiling, becomes the substrate for AP Calc.

3. Geometry (spatial reasoning throughout)

K–5: Geometry domain (shapes, attributes, coordinate plane)
6–7: Area, surface area, volume; scale; circles
8: Transformations, Pythagorean, congruence/similarity
HS: G-CO, G-SRT, G-C, G-GPE, G-GMD, G-MG
NWEA: "Geometry" instructional area in every test family
The most stable label across all NWEA tests — a clean longitudinal measurement.

4. Measurement & Data → Statistics & Probability → Inference

K–5: Measurement & Data domain
6–8: Statistics & Probability emerges as its own domain
HS: S-ID, S-IC, S-CP, S-MD
AP Statistics: Sampling distributions, confidence intervals, hypothesis testing (z, t, χ²), inference for slope
NWEA: "Measurement & Data" (K-2, 2-5) → "Statistics & Probability" (6+, Course-Specific)
The transition involves a name change in NWEA's sub-scores around grade 5–6; AP Statistics moves from descriptive to inferential reasoning.

5. Ratios → Linear Functions → Function Families → Calculus

3–5: Multiplicative reasoning
6–7: Ratios & Proportional Relationships
8: Functions, especially linear
HS: F-IF, F-BF, F-LE; A-CED (modeling)
Pre-Calc: Polynomial, rational, exponential, log, trigonometric, polar function families
AP Calc: Functions become the object of differentiation and integration
NWEA: Distributed in 2-5 (OAT and N&O) → "OAT / Expressions & Equations" → "Functions"
The function concept's continuous evolution — from ratio table to function notation to derivative and integral.

6. Algebraic Modeling & Problem Solving (★)

K–5: Word problems embedded in OA, MD
6–8: Real-world problems in EE, RP, G, SP
HS: Modeling category (★ on standards across categories); A-CED specifically
AP Calc / AP Stats: Differential equations, accumulation, regression, study design as modeling
NWEA: Distributed across all instructional areas — not its own sub-score
Modeling growth has to be inferred from items spread across other sub-scores. Watch this gap.

7. Rate of Change → Slope → Derivative

3–5: Multiplicative comparison, unit rate
6–7: Constant of proportionality (k in y = kx)
8: Slope from similar triangles; y = mx + b
HS Algebra/Pre-Calc: Average rate of change of any function (F-IF.B.6); instantaneous rate
AP Calc: Derivative as the limit of the average rate of change; differential equations
NWEA: Distributed in OAT/RCNS; not its own sub-score above grade 8
Single most consequential mathematical idea — the entire K-12 path can be read as preparation for the derivative concept.