KHAEMENES ACADEMY · PHYSICS 12 · WEEK 01 · DAY 01

Measurement, SI Units, Scalars & Vectors

Distinguish measured quantities, units, scalars, and vectors while preserving uncertainty.

Explicit physics instruction

Physics depends on measurements tied to units. A number without a unit is usually incomplete evidence. SI units provide a common language for comparing measurements and calculations.

Scalars have magnitude only; vectors have magnitude and direction. Distance and speed are scalars, while displacement and velocity are vectors.

Every measurement has limited resolution and uncertainty. Reporting more digits than the instrument supports creates false precision rather than better science.

Vocabulary: SI unit; scalar; vector; resolution; uncertainty.

Worked example with reasoning

A ruler marked every millimetre supports a length report such as 12.4 cm, not 12.400000 cm. A displacement of 12.4 cm east also includes direction and is therefore a vector.

Guided question

Classify mass, temperature, speed, displacement, force, and energy as scalar or vector and justify two of your choices.

Independent work

  1. Convert four supplied measurements into SI units.
  2. For each measurement, record value, unit, and plausible resolution.
  3. Write one scalar and one vector description of the same trip.

Misconception check

Precision in displayed digits is not the same as measurement accuracy.

Formative understanding check

What additional information turns a speed into a velocity?

Reveal response

Direction or a signed reference-frame convention.

Mentor evidence conference

Ask Archaemenes to audit units, assumptions, coordinate choices, and evidence limits.

Teacher guidance

Foundation: Use a scalar/vector organizer and unit table.

Core: Classify quantities and report measurements with appropriate precision.

Extended: Evaluate how instrument resolution limits downstream calculations.