Systems of Measurement – Metric – Demonstration This resource provides animated demonstrations of the mathematical method. Check animations and delete slides not needed for your class.
Which is taller? Which is longer? How do we know? In real life we measure height & length using distances . Horses are sometimes measured in hands – a measurement that dates back 3000 years! What measurements do we use in modern times to measure length?
We often use centimetres to measure length. How long is a pencil? What other items can you measure in the classroom? Can we use centimetres to measure the length of the whiteboard?
The horse is 200 centimetres tall. How else can we describe this length? 200 cm So, 200 centimetres is the same as 2 metres. 100 centimetres = 1 metre
To measure distance we often use four units in the metric system . The base unit is the metre . 1 metre contains 100 centimetres 1 centimetre contains 10 millimetres 1 mm 1 cm 1 m 1000 metres makes 1 kilometre
For each real-life item, which measurement do you think is correct? 1 m 1 cm 1 km 3 m 3 km 3 mm mm (millimetre) cm (centimetre) m (metre) km (kilometre) 15 cm 15 m 15 mm 12 m 12 cm 12 km 4.2 cm 4.3 m 4.3 mm 22 m 22 km 22 mm 22 cm 7 cm 7 m 7 mm
7 m The tree is 7 metres tall. How many centimetres tall is it? metres There are 100 cm in every metre, so we multiply 7 by 100 . ÷ 1000 kilometres × 1000 centimetres millimetres × 100 × 10 ÷ 100 ÷ 10 7 metres 700 centimetres
9 cm The flower is 9 centimetres tall. How many millimetres tall is it? metres There are 10 mm in every centimetre, so we multiply 9 by 10 . ÷ 1000 kilometres × 1000 centimetres millimetres × 100 × 10 ÷ 100 ÷ 10 9 centimetres 90 millimetres
140 mm The pencil is 140 millimetres long. How many centimetres long is it? metres There are 10 mm in every centimetre, so we divide 140 by 10 . ÷ 1000 kilometres × 1000 centimetres millimetres × 100 × 10 ÷ 100 ÷ 10 14 centimetres 140 millimetres
0.4 m The duck is 0.4 metres tall. How many centimetres tall is it? metres There are 100 cm in every metre, so we multiply 0.4 by 100 . ÷ 1000 kilometres × 1000 centimetres millimetres × 100 × 10 ÷ 100 ÷ 10 0.4 metres 40 centimetres
180 cm Tim is 180 centimetres tall. How many metres tall is he? metres There are 100 cm in every metre, so we divide 180 by 100 . ÷ 1000 kilometres × 1000 centimetres millimetres × 100 × 10 ÷ 100 ÷ 10 1.8 metres 180 centimetres
80 km The distance across London is 80 kilometres. How many metres is this? metres There are 1000 m in every kilometre, so we multiply 80 by 1000 . ÷ 1000 kilometres × 1000 centimetres millimetres × 100 × 10 ÷ 100 ÷ 10 80,000 metres 80 kilometres
metres ÷ 1000 kilometres × 1000 centimetres millimetres × 100 × 10 ÷ 100 ÷ 10 3 m = 300 cm 600 cm = 6 00 m 2.4 m = 240 00 cm 3200 cm = 32 00 m 40 mm = 4 00 cm 90 cm = 900 mm 12 cm = 120 00 mm 5 mm = 0.5 00 cm 6 km = 6000 m 8000 m = 8 00 km 2400 m = 2.4 00 km 1.7 km = 1700 m
Measuring Length ? Measuring Capacity ? (volume) Measuring Mass ? (Similar to weight) 3.6 What units do we use in the metric system for…. millilitre (ml) centilitre (cl) litre (l) gram (g) kilogram (kg) tonne (t) millimetre (mm) centimetre (cm) metre (m) kilometre (km)
The Metric System This is a system designed to make it easy to measure any real-life quantity. Started in France in 1790. Units are in multiples of 10 of a base unit . Distance metre centimetre millimetre kilometre Mass kilogram gram milligram tonne Capacity litre centilitre millilitre The most common units… 1000 metres 1/100 of a metre 1/10 of a centimetre 1000 grams 1/100 of a litre 1000 kilograms 1/1000 of a gram 1/1000 of a litre
Converting Metric Units 1 tonne = 1000 kilograms 1 kilogram = 1000 grams 1 litre = 1000 millilitres 1 kilometre = 1000 metres 1 metre = 100 centimetres 1 centimetre = 10 millimetres 4 metres × 100 = _______ cm 5 kilograms × 1000 = _______ g 1.5 litres = _______ ml × 1000 × 10 18 centimetres = _______ mm 180 1500 5000 400
Converting Metric Units 1 tonne = 1000 kilograms 1 kilogram = 1000 grams 1 litre = 1000 millilitres 1 kilometre = 1000 metres 1 metre = 100 centimetres 1 centimetre = 10 millimetres 400 grams ÷ 1000 = _______ kg 800 metres ÷ 1000 = _______ km 330 millilitres = _______ l ÷ 1000 ÷ 10 152 millimetres = _______ cm 0.4 0.8 0.33 15.2
metres km × 1000 cm mm × 100 × 10 t kg grams × 1000 × 1000 litres ml × 1000 Converting Metric Units 1 kilometre = 1000 metres 1 tonne = 1000 kilograms 1 kilogram = 1000 grams 1 litre = 1000 millilitres 1 metre = 100 centimetres 1 centimetre = 10 millimetres
metres ÷ 1000 km × 1000 cm mm × 100 × 10 ÷ 100 ÷ 10 t kg grams × 1000 × 1000 ÷ 1000 ÷ 1000 litres ml × 1000 ÷ 1000 Converting Metric Units 10 millimetres = 1 centimetre 1000 grams = 1 kilogram 1000 kilograms = 1 tonne 1000 millilitres = 1 litre 100 centimetres = 1 metre 1000 metres = 1 kilometre
metres ÷ 1000 km × 1000 cm mm × 100 × 10 ÷ 100 ÷ 10 t kg grams × 1000 × 1000 ÷ 1000 ÷ 1000 litres ml × 1000 ÷ 1000 4 m = cm 400
metres ÷ 1000 km × 1000 cm mm × 100 × 10 ÷ 100 ÷ 10 t kg grams × 1000 × 1000 ÷ 1000 ÷ 1000 litres ml × 1000 ÷ 1000 700 mm = cm 70
metres ÷ 1000 km × 1000 cm mm × 100 × 10 ÷ 100 ÷ 10 t kg grams × 1000 × 1000 ÷ 1000 ÷ 1000 litres ml × 1000 ÷ 1000 4 km = m 4000
metres ÷ 1000 km × 1000 cm mm × 100 × 10 ÷ 100 ÷ 10 t kg grams × 1000 × 1000 ÷ 1000 ÷ 1000 litres ml × 1000 ÷ 1000 6 l = ml 6000
metres ÷ 1000 km × 1000 cm mm × 100 × 10 ÷ 100 ÷ 10 t kg grams × 1000 × 1000 ÷ 1000 ÷ 1000 litres ml × 1000 ÷ 1000 4500 cm = m 45
metres ÷ 1000 km × 1000 cm mm × 100 × 10 ÷ 100 ÷ 10 t kg grams × 1000 × 1000 ÷ 1000 ÷ 1000 litres ml × 1000 ÷ 1000 4300 g = kg 4.3
metres ÷ 1000 km × 1000 cm mm × 100 × 10 ÷ 100 ÷ 10 t kg grams × 1000 × 1000 ÷ 1000 ÷ 1000 litres ml × 1000 ÷ 1000 0.3 t = kg 300
metres ÷ 1000 km × 1000 cm mm × 100 × 10 ÷ 100 ÷ 10 t kg grams × 1000 × 1000 ÷ 1000 ÷ 1000 litres ml × 1000 ÷ 1000 3.5 m = cm 350
metres ÷ 1000 km × 1000 cm mm × 100 × 10 ÷ 100 ÷ 10 t kg grams × 1000 × 1000 ÷ 1000 ÷ 1000 litres ml × 1000 ÷ 1000 61 mm = cm 6.1
metres ÷ 1000 km × 1000 cm mm × 100 × 10 ÷ 100 ÷ 10 t kg grams × 1000 × 1000 ÷ 1000 ÷ 1000 litres ml × 1000 ÷ 1000 0.8 km = m 800
metres ÷ 1000 km × 1000 cm mm × 100 × 10 ÷ 100 ÷ 10 t kg grams × 1000 × 1000 ÷ 1000 ÷ 1000 litres ml × 1000 ÷ 1000 0.72 l = ml 720
metres ÷ 1000 km × 1000 cm mm × 100 × 10 ÷ 100 ÷ 10 t kg grams × 1000 × 1000 ÷ 1000 ÷ 1000 litres ml × 1000 ÷ 1000 620,000 g = t 0.62
metres ÷ 1000 km × 1000 cm mm × 100 × 10 ÷ 100 ÷ 10 t kg grams × 1000 × 1000 ÷ 1000 ÷ 1000 litres ml × 1000 ÷ 1000 3 m 300 cm 4 kg 4000 kg 6 litres 6000 ml 820 cm 8.2 m 56 mm 5.6 cm 4800 kg 4.8 t 7.2 m 720 cm 6.4 kg 6400 g 5 mm 0.5 cm 0.6 t 600 kg 0.05 km 50 m 45 g 0.045 kg Complete the tables.
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