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Curriculum

Every skill we cover, in one place.

NudgeLearn teaches across math (grade 4 and up), vocabulary, the SAT and ACT, four AP exams, and SSAT-style admissions prep.

Subject 01

Math

Grades 4 – 10 (Algebra I · Geometry · Algebra II)

9,600+ questions across 320 skills, aligned to Common Core State Standards. Difficulty bands 1 (warm-up) through 5 (challenge). Pick a grade to see every skill we cover.

Grade 4

10 strands · 38 skills

4.APlace value & multi-digit whole numbers

📖 Lesson →

4.A.1Read & write multi-digit numbers (to 1,000,000)· 4.NBT.A.2 · diff 1-2
4.A.2Compare multi-digit numbers· 4.NBT.A.2 · diff 1-2
4.A.3Round multi-digit numbers· 4.NBT.A.3 · diff 2
4.A.4Place-value relationships (10x)· 4.NBT.A.1 · diff 2

4.BMulti-digit addition & subtraction

📖 Lesson →

4.B.1Add multi-digit whole numbers (standard alg.)· 4.NBT.B.4 · diff 1-2
4.B.2Subtract multi-digit whole numbers· 4.NBT.B.4 · diff 2
4.B.3Add/subtract word problems· 4.OA.A.3 · diff 2-3
4.B.4Estimate sums & differences· 4.NBT.B.4 · diff 2

4.CMulti-digit multiplication

📖 Lesson →

4.C.1Multiply 1-digit by up to 4-digit numbers· 4.NBT.B.5 · diff 2
4.C.2Multiply two 2-digit numbers· 4.NBT.B.5 · diff 2-3
4.C.3Multiplicative comparisons· 4.OA.A.1 · diff 2
4.C.4Multiplication word problems (compare / equal grp.)· 4.OA.A.2 · diff 2-3

4.DDivision with remainders

📖 Lesson →

4.D.1Divide up to 4-digit by 1-digit (whole-number q.)· 4.NBT.B.6 · diff 2-3
4.D.2Division with remainders (interpret the remainder)· 4.OA.A.3 · diff 3
4.D.3Division word problems· 4.OA.A.3 · diff 3

4.EFactors, multiples & patterns

📖 Lesson →

4.E.1Factors & multiples (1-100)· 4.OA.B.4 · diff 2
4.E.2Prime vs composite numbers· 4.OA.B.4 · diff 2
4.E.3Number & shape patterns (from a rule)· 4.OA.C.5 · diff 2-3

4.FFraction equivalence & comparison

📖 Lesson →

4.F.1Equivalent fractions (using area / number line)· 4.NF.A.1 · diff 2
4.F.2Compare fractions with unlike denom. (benchmarks)· 4.NF.A.2 · diff 2-3
4.F.3Order a set of fractions· 4.NF.A.2 · diff 3

4.GFraction addition, subtraction & multiplication

📖 Lesson →

4.G.1Decompose a fraction into unit fractions· 4.NF.B.3 · diff 2
4.G.2Add fractions with like denominators· 4.NF.B.3 · diff 1-2
4.G.3Subtract fractions with like denominators· 4.NF.B.3 · diff 2
4.G.4Add/subtract mixed numbers (like denom.)· 4.NF.B.3 · diff 2-3
4.G.5Multiply a fraction by a whole number· 4.NF.B.4 · diff 2-3
4.G.6Fraction word problems· 4.NF.B.3 · diff 3

4.HDecimals (tenths & hundredths)

📖 Lesson →

4.H.1Tenths & hundredths as fractions· 4.NF.C.5 · diff 2
4.H.2Decimal notation for fractions (10ths/100ths)· 4.NF.C.6 · diff 2
4.H.3Compare decimals to hundredths· 4.NF.C.7 · diff 2-3

4.IMeasurement & data

📖 Lesson →

4.I.1Convert larger units to smaller (within system)· 4.MD.A.1 · diff 2
4.I.2Measurement word problems (time, money, dist.)· 4.MD.A.2 · diff 2-3
4.I.3Area & perimeter of rectangles· 4.MD.A.3 · diff 2
4.I.4Line plots with fractions· 4.MD.B.4 · diff 2-3

4.JAngles & geometry

📖 Lesson →

4.J.1Lines, rays, segments; parallel/perpendicular· 4.G.A.1 · diff 1-2
4.J.2Classify triangles & quadrilaterals· 4.G.A.2 · diff 2
4.J.3Lines of symmetry· 4.G.A.3 · diff 2
4.J.4Measure angles (protractor) & angle sums· 4.MD.C.7 · diff 2-3

Subject 02

Vocabulary

Middle school · High school · SAT level · Advanced

2,100+ curated academic words, each with a definition, part of speech, example sentence, and curated synonyms + antonyms. Spaced repetition (SM-2) decides which words come back and when, so kids see new words paced against the ones they're still consolidating — not 10 brand-new words a day forever.

Middle School

500+ words

Foundational tier — frequently confused pairs, school-essay vocabulary

High School

800+ words

Default band — academic register, SAT-adjacent

SAT level

800+ words

Test-prep tier — passage-anchored words from real SAT practice

Advanced

100+ words

Top tier — for kids who exhaust the SAT band

Subject 03

SAT

Digital SAT (2024+ format) — Reading & Writing + Math

Full SAT coverage across both sections — 1,100+ R&W passage questions plus 2,600+ math questions cross-tagged from our K-12 math bank by SAT domain. Math is delivered as 4-choice MC over SMS for ~75% of items (matches digital SAT format); the remaining ~25% are grid-in (write-in) for short numeric answers. PSAT 8/9 and PSAT 10 are cross-tagged from the same banks, with daily practice tracked by skill.

Reading & Writing

Craft & Structure

~28%

· Words in context
· Text structure & purpose
· Cross-text connections

Information & Ideas

~26%

· Central ideas & details
· Command of evidence
· Inferences

Standard English Conventions

~26%

· Boundaries & supplements
· Agreement
· Punctuation

Expression of Ideas

~20%

· Rhetorical synthesis
· Transitions

Math

Heart of Algebra

~35%

· Linear equations + functions
· Linear systems
· Linear inequalities

Advanced Math

~35%

· Quadratic + polynomial
· Exponential growth/decay
· Rational + radical expressions

Problem-Solving & Data

~15%

· Ratios + percent
· Probability + two-way tables
· Data interpretation

Geometry & Trigonometry

~15%

· Right triangles + Pythagorean
· Circles
· 3D figures + trig functions

Subject 04

ACT

Post-2025 enhanced ACT format — English + Math live; Reading + Science in build

1,000+ passage-anchored ACT English questions sized for the ACT's faster ~42-second-per-question pace, plus ACT Math cross-tagged from our K-12 math bank (algebra, geometry, grade-8 prealgebra). Each English item references a short prose passage with the issue underlined or numbered, matching the on-test format. Reading and Science sections are next in build.

English

Conventions of Standard English

~55%

· Sentence structure
· Punctuation
· Usage

Production of Writing

~30%

· Topic development
· Organization, unity, cohesion

Knowledge of Language

~15%

· Word choice
· Style, tone, register

Math

Pre-algebra & elementary algebra

~45%

· Number properties, ratios, percents
· Linear equations & inequalities
· Exponents, roots

Intermediate algebra & coord. geom.

~30%

· Quadratics, systems, functions
· Lines, slopes, distance
· Conics basics

Plane geometry & trigonometry

~25%

· Angles, triangles, circles
· Area, perimeter, volume
· Right-triangle trig

Subject 05

AP

Advanced Placement exams — Biology · Psychology · U.S. Government · Human Geography

3,800+ multiple-choice questions across four AP exams, each tagged by official College Board exam unit so kids see practice for the topics their AP class is actually moving through. Delivered as 4-choice MC over SMS — matches the AP MC format. More AP exams added based on demand.

AP Biology

· Unit 1 — Chemistry of Life
· Unit 2 — Cell Structure & Function
· Unit 3 — Cellular Energetics
· Unit 4 — Cell Communication & Cycle
· Unit 5 — Heredity
· Unit 6 — Gene Expression & Regulation
· Unit 7 — Natural Selection
· Unit 8 — Ecology

AP Psychology

· Biological bases of behavior
· Sensation & perception
· Learning
· Cognitive psychology
· Developmental psychology
· Motivation, emotion, personality
· Clinical psychology
· Social psychology

AP U.S. Government

· Foundations of American democracy
· Interactions among branches
· Civil liberties & civil rights
· American political ideologies & beliefs
· Political participation
· Required foundational documents
· Required Supreme Court cases

AP Human Geography

· Thinking geographically
· Population & migration
· Cultural patterns & processes
· Political patterns & processes
· Agriculture & rural land use
· Cities & urban land use
· Industrial & economic development

Subject 06

SSAT & other admissions tests

SSAT (Middle · Upper) · ISEE · SHSAT · HSPT — both halves where applicable

800+ questions across the verbal-reasoning types these private-school and selective-admissions tests share — analogies, sentence completion, antonyms, quantitative comparison, classification, logic, language mechanics. A subscription to one of these tests gets BOTH halves: verbal questions from this bank PLUS grade-appropriate math cross-tagged from the K-12 math bank, with daily practice tracked by skill.

AP.AAnalogies (word relationships)

AP.A.1Part-to-whole analogies· AP.VERBAL
AP.A.2Function / purpose analogies· AP.VERBAL
AP.A.3Synonym / antonym analogies· AP.VERBAL
AP.A.4Cause / effect analogies· AP.VERBAL
AP.A.5Category / member analogies· AP.VERBAL
AP.A.6Degree-of-intensity analogies· AP.VERBAL

AP.BSentence completion

AP.B.1Single-blank, context-clue completions· AP.VERBAL
AP.B.2Two-blank completions (logical relation)· AP.VERBAL
AP.B.3Completions with transition words· AP.VERBAL

AP.CAntonyms

AP.C.1Antonyms (common words)· AP.VERBAL
AP.C.2Antonyms (test-tier vocabulary)· AP.VERBAL
AP.C.3Antonyms (nuanced distinction)· AP.VERBAL

AP.DQuantitative comparison

AP.D.1Compare arithmetic expressions (Column A vs B)· AP.QUANT
AP.D.2Compare algebraic expressions· AP.QUANT
AP.D.3Compare geometric quantities· AP.QUANT
AP.D.4Recognize 'cannot be determined' cases· AP.QUANT

AP.EVerbal classification

AP.E.1Which word does not belong (category)· AP.VERBAL
AP.E.2Which word does not belong (function)· AP.VERBAL

AP.FVerbal logic

AP.F.1Transitive relations (if A>B and B>C...)· AP.LOGIC
AP.F.2Necessary vs sufficient conditions· AP.LOGIC
AP.F.3Matrix-style deduction puzzles· AP.LOGIC

AP.GLanguage mechanics

AP.G.1Capitalization· AP.MECH
AP.G.2Punctuation (comma, semicolon, apostrophe)· AP.MECH
AP.G.3Subject-verb agreement· AP.MECH
AP.G.4Pronoun case & agreement· AP.MECH
AP.G.5Usage (commonly confused words)· AP.MECH