Grade 10 — Mathematics 10-3 › T3U01 SI Measurement

Grade 10 › T3U01 SI Measurement › L2
GRADE 10 · ALBERTAOUTCOME MAT10-3-M1

L2 · SI units and their relationships: length, area, volume, capacity, mass, temperature

Learning goal

“I can name the SI unit family for length, area, volume, capacity, mass and temperature, and state how the units inside each family are related - including why area steps multiply by 100 and volume/capacity steps by 1000.”

Capacity — how much a container holds, measured in litres (L) and millilitres (mL). Capacity is volume, measured from the inside.
Volume — the space a solid takes up, measured in cubic units: cm3, m3.
Mass — the amount of matter in an object, measured in grams (g), kilograms (kg) and tonnes (t).
Tonne (t) — the large mass unit: 1 t = 1000 kg. (Not the same as the imperial ton in T3U02.)
Worked example

Two families, one pattern. Length is built on the metre: km - m - (and below) dm, cm, mm; each step multiplies or divides by 10, so 1 km = 1000 m, 1 m = 100 cm, 1 cm = 10 mm. Mass is built on the gram, with the kilogram as the working base unit you'll meet most: 1 kg = 1000 g, 1 g = 1000 mg, and for truck-sized masses, 1 tonne = 1000 kg. Notice mass uses the same tens - the ladder shape never changes inside SI, only the unit names do.

Check yourself — explain it

1 m = 100 cm but 1 kg = 1000 g. Both are SI, so why different counts?

Paired problem — example still visible

How many milligrams are in 1 kilogram? -> Steps: kg -> g is x1000, g -> mg is x1000, so 1 kg = 1000 x 1000 = 1,000,000 mg

Faded completion — last step is yours

"1 km = ___ m, so 1 km = ___ cm (two more steps of x10 each: m -> dm -> cm)." -> 1000; 100,000

Ready to practise?

10 scored questions with a 3-rung hint ladder. Mastery needs 8/10 plus both gate questions.

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