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Mechanics · Projectiles

LAB NOTES
MOTION MODEL

x = u cos θ · t

y = u sin θ · t − ½gt²

TRAJECTORY42°u = 18 m/smax height?horizontal range R
ignore air resistancecheck units + scale
Concept output Preview

Projectile motion

Launch investigation

Parametric model

x(t) = 18 cos(42°)t

y(t) = 18 sin(42°)t − 4.9t²

Concept
H = 8.2 mR = 33.1 m
Review planProduct direction

What we’re building

Four planned chapters for a teacher-led workflow. These interface previews show the product direction while early access is still in development.

1Step 1 of 4

Capture your material

Bring in the way your work already exists: a phone photo, PDF, scanned worksheet, pasted question, or a page of handwritten notes.

New teaching document

Drop material here

Photos, scans, PDFs, or copied content

Choose sourcePaste

4 sources received

Phone photo
PDF worksheet
Scanned page
Pasted notes
2Step 2 of 4

Structure the content

The planned workflow will organize headings, questions, equations, diagrams, tables, and teaching blocks while keeping the source visible beside the result.

Detecting worksheet structure

Practical physics · Energy

Pendulum investigation: energy transfers

Question 3

A 0.40 kg pendulum is released from a height of 0.28 m. Determine its speed at the lowest point.

Energy model

mgh = ½mv²

v = √(2gh) = 2.34 m s⁻¹

h = 0.28 mvL = 0.75 m
TrialHeight / mTime / sSpeed / m s⁻¹
010.200.641.98
020.240.692.17
030.280.752.34
Heading
Question
Equation
Diagram
Table
Structure concept preview
3Step 3 of 4

Verify and refine

We’re designing review steps for formulas, scientific labels, and warnings, with teachers making every final decision.

Review reaction scheme

Stoichiometry check

2H₂ + O₂ → 2H₂O

Atoms and coefficients are balanced

Energy profile label

Activation energy Eₐ

Arrow endpoint confirmed at transition state

EₐReactantsProductsΔH < 0
Teacher review concept
4Step 4 of 4

Edit and export

The product direction includes editable blocks and practical classroom formats. Export capabilities are not part of tonight’s public early access.

Circle theorem lesson pack

Geometry · Theorem 4

Angles subtended by an arc

Concept

Worked proof

Show that ∠AOC = 2∠ABC for points A, B and C on the circle.

ACBO
1. OA = OB = OC (radii)
2. Base angles in each isosceles triangle are equal.
3. Therefore α + β = 2x.
Teacher note · reveal Step 3 after discussion

Independent check

Apply the theorem to arc AC when ∠ABC = 38°.

Answer

76°

Export lesson pack

12 pages · diagrams embedded

×
PDFPrint ready
DOCXEditable
LaTeXSource
SlidesClass deck
SVGFigures

Designed around real
teaching work

Lesson preparation

Notes become a clear handout

We’re exploring a teacher-led path from rough lesson planning to a clearer resource that can be reviewed and refined.

Product concept Source-led Teacher controlled
MON 09:10

lesson: quadratic transformations

y = (x − 2)² − 3

vertex (2, −3), axis x = 2

vertex right 2, down 3

• compare with y = x²

• ask pupils to predict roots first

misconception: signs inside bracket!

Quadratic transformations · Handout

Year 10 mathematics · Lesson handout

Transforming quadratic graphs

Read vertex form, sketch the transformation, then verify intercepts.

y = (x − h)² + k → vertex (h, k)

(2, −3)
1. Translate right by 2.
2. Translate down by 3.
Check: substitute x = 0.
Try: sketch y = −2(x + 1)² + 44 marks

Worksheet rebuilding

Questions stay editable

The product direction keeps source material visible while educators shape editable questions, equations, and diagrams.

Product concept Source-led Teacher controlled

DC circuits · Rebuilt worksheet

Physics · Electricity

Series and parallel circuits

Concept

Question 6 · Network analysis

A 12 V supply powers R₁ = 4 Ω and R₂ = 6 Ω in parallel, with R₃ = 2 Ω in series. Find the total current and each branch current.

R₃ = 2 ΩR₁ = 4 ΩR₂ = 6 Ω12 V

Equation set

1/Rₚ = 1/4 + 1/6

Rₜ = Rₚ + 2

Iₜ = V/Rₜ

Known

V = 12 V

R₁, R₂, R₃

Find

Iₜ, I₁, I₂

include units

Working

Rₚ = 2.4 Ω

Iₜ = 2.73 A

Scientific communication

Rough diagrams become precise

We’re designing visual tools for clearer labels and relationships, with every part kept available for teacher review.

Product concept Source-led Teacher controlled

Synaptic transmission figure

Biology · Neurophysiology

Chemical synaptic transmission

Synaptic vesiclesNeurotransmitterLigand-gated receptor1 · Action potentialSynaptic cleftPostsynaptic membrane
1. Vesicle release2. Diffusion3. Receptor binding
Interface concept

Designed with STEM in mind

Early-access interface concepts for proofs, investigations, worked solutions, and scientific figures—shown to invite educator feedback.

Geometry

Cyclic quadrilateral proof

Concept
ABCDα180° − α

Proof structure

Opposite angles in a cyclic quadrilateral sum to 180°.

1.∠BAD subtends arc BCD
2.∠BCD subtends arc BAD
3.∠BAD + ∠BCD = 180°
Reason attached to each step

Physics

Standing-wave harmonics

Concept

Standing waves · first three harmonics

L = 0.80 m
n=1n=2n=3
λ₁ = 2Lf₂ = 2f₁v = fλ

Calculus

Definite integral and area

Concept
ab∫ f(x) dx

∫₁³ (x³ − 3x² + 4) dx

F(x) = ¼x⁴ − x³ + 4xArea = 6 units²

Chemistry

Esterification mechanism

Concept

CH₃COOH

Ethanoic acid

+

CH₃CH₂OH

Ethanol

CH₃COOCH₂CH₃

Ethyl ethanoate

fruity ester
conc. H₂SO₄ · heatprotonationnucleophilic attackeliminate H₂O
Reversible reactionRemove water to increase yield

Statistics

Regression and interpretation

Concept
revision time / minassessment score / %

Correlation

r = 0.87

Strong positive association. Correlation does not prove causation.

Model

ŷ = 0.31x + 48.2

Biology

Nephron filtration pathway

Concept
Loop of HenleDistal tubuleCollecting ductProximal tubuleGlomerulus
1Ultrafiltration2Selective reabsorption3Water balance4Urine formation

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