Math Academy-style readiness
Your knowledge graph
A node unlocks when every prerequisite reaches 80% mastery over at least 12 attempts.
Knowledge points
60
Mapped learning
69.75h
70h target
Plan length
12 weeks
5.8h/week
Live drills
60
runnable now
Mastered (0)In progress (0)Available (2)Locked (58)Planned (0)
All KPs connected. 60 nodes · 107 prerequisite edges · 0 orphans · no cycles.
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Prerequisite map
- Red-flag self-screen and practice setup←no prerequisites
- Alignment and release scan←Red-flag self-screen and practice setup
- Comfortable speaking-center map←Red-flag self-screen and practice setup
- Silent inhale plus hiss exhale←Red-flag self-screen and practice setup, Alignment and release scan
- Easy hum onset on /m/ or /ŋ/←Alignment and release scan, Silent inhale plus hiss exhale
- Single-note match in comfortable range←Comfortable speaking-center map, Easy hum onset on /m/ or /ŋ/
- Same / higher / lower discrimination←Single-note match in comfortable range
- Pulse clap with click←no prerequisites
- Single-vowel sustain on /u/←Easy hum onset on /m/ or /ŋ/, Single-note match in comfortable range
- Three-note siren within a fifth←Easy hum onset on /m/ or /ŋ/, Single-note match in comfortable range
- Coordinated onset on open vowel←Easy hum onset on /m/ or /ŋ/, Single-note match in comfortable range
- Smooth release / offset←Coordinated onset on open vowel, Single-vowel sustain on /u/
- Two-note echo on neutral syllable←Single-note match in comfortable range, Same / higher / lower discrimination
- so-mi with hand signs←Two-note echo on neutral syllable
- so-mi-la patterns←so-mi with hand signs
- Repeated-note stability in pulse←Pulse clap with click, Single-vowel sustain on /u/
- Four-beat entry after count-in←Pulse clap with click, Coordinated onset on open vowel
- Five-note descending hum←Three-note siren within a fifth, Two-note echo on neutral syllable
- Hum-to-vowel transfer←Five-note descending hum, Single-vowel sustain on /u/
- Short echo after 2-second delay←so-mi-la patterns, Hum-to-vowel transfer
- Five pure vowels on one pitch←Single-vowel sustain on /u/
- Vowel switching on one pitch←Five pure vowels on one pitch
- Jaw / tongue release while sustaining←Five pure vowels on one pitch, Vowel switching on one pitch
- Straw or lip-trill sustain (SOVT)←Silent inhale plus hiss exhale, Easy hum onset on /m/ or /ŋ/
- SOVT glide across a sixth←Straw or lip-trill sustain (SOVT), Three-note siren within a fifth
- Detect and reduce register event in a glide←SOVT glide across a sixth
- 1–3–5 arpeggio on trill or hum←Five-note descending hum, SOVT glide across a sixth
- Resting-tone / tonic finding after cadence←so-mi with hand signs, Short echo after 2-second delay
- 4–5 note phrase from memory←Short echo after 2-second delay, Resting-tone / tonic finding after cadence
- Degree prompts from tonic: do, re, mi, sol, la←Resting-tone / tonic finding after cadence, so-mi-la patterns
- Major pentachord up and down←1–3–5 arpeggio on trill or hum, Degree prompts from tonic: do, re, mi, sol, la
- Minor and major third echo←Two-note echo on neutral syllable, Degree prompts from tonic: do, re, mi, sol, la
- Perfect fourth and fifth echo←Minor and major third echo
- Glide-to-discrete-note landing←SOVT glide across a sixth, Minor and major third echo
- Soft vs medium contrast←Single-vowel sustain on /u/, Five pure vowels on one pitch
- Simple swell and decrescendo←Soft vs medium contrast, Single-vowel sustain on /u/
- Two-syllable legato phrase←Vowel switching on one pitch, Major pentachord up and down
- Consonant-to-vowel clarity←Four-beat entry after count-in, Five pure vowels on one pitch
- Breath grouping for 6–8 second phrase←Silent inhale plus hiss exhale, Straw or lip-trill sustain (SOVT)
- Two-phrase memory with clean restart←4–5 note phrase from memory, Breath grouping for 6–8 second phrase
- Siren across the main bridge / passaggio←Detect and reduce register event in a glide, SOVT glide across a sixth
- Vowel modification on upward motion←Vowel switching on one pitch, Siren across the main bridge / passaggio
- Bright / narrow resonance cue←Five pure vowels on one pitch, Siren across the main bridge / passaggio
- Speech-to-song three-note transfer←Comfortable speaking-center map, Coordinated onset on open vowel, Two-note echo on neutral syllable
- One-octave scale fragment←Major pentachord up and down, Siren across the main bridge / passaggio
- Tonic-dominant arpeggio←Perfect fourth and fifth echo, Resting-tone / tonic finding after cadence
- Sing target degrees against tonic drone←Resting-tone / tonic finding after cadence, Degree prompts from tonic: do, re, mi, sol, la
- Straight-tone then optional natural vibrato release←Soft vs medium contrast, Siren across the main bridge / passaggio
- Staccato in tempo←Coordinated onset on open vowel, Four-beat entry after count-in, Repeated-note stability in pulse
- Five-note melisma←One-octave scale fragment, Staccato in tempo
- Phrase transposition up or down a whole step←Degree prompts from tonic: do, re, mi, sol, la, Major pentachord up and down
- Call-and-response with one-note variation←4–5 note phrase from memory, Phrase transposition up or down a whole step
- A cappella eight-beat phrase resolving to tonic←Breath grouping for 6–8 second phrase, Sing target degrees against tonic drone
- Verse-length breath planning←Two-phrase memory with clean restart, Breath grouping for 6–8 second phrase
- Emotional contrast via dynamics and vowel colour←Soft vs medium contrast, Bright / narrow resonance cue
- Unison with guide voice←Sing target degrees against tonic drone, One-octave scale fragment
- Simple harmony line over drone←Tonic-dominant arpeggio, Sing target degrees against tonic drone
- Eight-bar simple song from memory←Two-phrase memory with clean restart, A cappella eight-beat phrase resolving to tonic
- Self-diagnosis of miss type←Eight-bar simple song from memory
- Independent rescue-drill selection←Self-diagnosis of miss type