THE METRIC SYSTEM KEY VOCABULARY magnitude length capacity mass area unit metre litre gram square metre
SECONDARY VOCABULARY kilo- hecto- deca- deci- centi- milli- measure estimating conversion foot inch
FIRST TASK Work in pairs with this worksheet
Estimating is a useful skill in everyday life These are the principals units for important magnitudes:
LENGTH MASS/WEIGHT CAPACITY AREA UNIT METRE (M) GRAM (G) LITRE SQUARED METRE
(In this task, you can’t use your ruler)
Discuss among you:
Student A: I think that the best unit for the length of my notebook is the centimetre. Do you agree? Student B: Yes, I do. No, I don’t. I think that the best unit is…………………
Student A: I think that the length of my notebook is about 40 centimetres. Do you agree? Student B: Yes, I do. No, I don’t. I think that the length is about 30 centimetres.
MAGNITUDE ITEM UNIT NUMBER LENGTH OF YOUR NOTEBOOK WIDTH OF YOUR NOTEBOOK LENGTH OF THE BLACKBOARD LENGTH WIDTH OF THE BLACKBOARD LENGTH OF THE CLASSROOM HIGH OF THE SCHOOL LENGTH MURCIA-MADRID CARTON OF MILK CAPACITY CAN OF COKE COFFEE SPOON SWIMMING-POOL LITTLE PIECE OF CHEESE WEIGHT THE FREIGHT OF A TRAILER SUGAR PACKAGE YOUR NOTEBOOK AREA YOUR TABLE THE CLASSROOM
SECOND TASK
Work in pairs:
Pupils are provided with this worksheet and an Ikea’s ruler. Then, they measure:
Measure lengths with decimal units and imperial units
For the first table, we work in centimetres
STUDENT A STUDENT B What is the length of your notebook? The length of my notebook is……….cm What is the width of your notebook? The width of my notebook is ……….cm What’s the length of the table? The length of the table is….. ……….cm What’s the width of the table? The width of the table is…………….cm What’s the surface of the table? The surface of the table is…….…….cm
Now, we change student A and student B and we work in inch
STUDENT A STUDENT B What is the length of your notebook? The length of my notebook is…………in What is the width of your notebook? The width of my notebook is …………in What’s the length of the table? The length of the table is ….…………in What’s the width of the table? The width of the table is………………in What’s the area of this surface? The surface of the table is…….………in
THIRD TASK
METRIC AND IMPERIAL UNITS. CONVERSIONS
Now, learners are provided with the following worksheet:
METRIC UNITS LENGTH MASS CAPACITY NAME SYMBOL NAME SYMBOL NAME SYMBOL kilometre km kilogram kg kilolitre kl or kL hectometre hm hectogram hg hectolitre hl or hL decametre dam decagram dag decalitre dal or daL metre m gram g litre l or L decimetre dm decigram dg decilitre dl or dL centimetre cm centigram cg centilitre cl or cL millimetre mm milligram mg millilitre ml or mL
There are other common units as the metric tonne…
IMPERIAL UNITS
LENGTH inch ( in ) foot ( ft ) mile (mi) MASS ounce (oz) pound (lb) CAPACITY pint (pt) gallon (gal)
METRIC UNITS CONVERSIONS
METRIC - IMPERIAL CONVERSIONS
LENGTH MASS CAPACITY 1 inch = 2.54 centimetres 1 ounce = 28.35 g 1 pint = 0.568 L
1 foot = 30.48 centimetres 1 pound = 453.59 g 1 gallon = 4.55 L
1 mile = 1609 metres
EXERCISES
1.- Draw a line to mach the symbol to the correct unit of measure:
kilometre m
metre dm
centimetre dam
decametre hm
millimetre mm
decimetre km
hectometre cm
2.- Draw a line to match each value to the correct unit of measure:
100 metres kilometre
0.1 metres hectometre
10 metres decimetre
0.001 metres millimetre
1000 metres decametre
0.01 metres centimetre
3.- Answer the questions below: a.- How many centimetres are there in 1 metre? There are 100 centimetres in 1 metre b.- How many metres are there in 1 kilometre? c.- How many dam are there in 7 km? d.- How many mm are there in 34 m? e.- How many km are there in 28 m? f.- How many dam are there in 560 dm? g.- How many mm are there in 5 km? h.- How many cm are there 0.3 mm? i.- How many km are there 96 hm? j.- How many m are there 2.8 mm?
4.- Draw a line to mach the symbol to the correct unit of measure:
kilogram g
gram dg
centigram dag
decagram hg
milligram mg
decigram kg
hectogram cg
5.- Draw a line to match each value to the correct unit of measure:
100 grams kilogram
0.1 grams hectogram
10 grams decigram
0.001 grams milligram
1000 grams decagram
0.01 grams centigram
6.- Answer the questions below: a.- How many centigrams are there in 1 gram? b.- How many grams are there in 1 kilogram? c.- How many dag are there in 15 g? d.- How many mg are there in 4.70056 kg? e.- How many kg are there in 2790 g? f.- How many dg are there in 4.34 cg? g.- How many g are there in 0.05 hg? h.- How many cg are there 343 dg? i.- How many kg are there 9.06 cg? j.- How many g are there 245.8 mg? 7.- Draw a line to mach the symbol to the correct unit of measure:
kilolitre L
litre dL
centilitre daL
decalitre hL
millilitre mL
decilitre kL
hectolitre cL
8.- Draw a line to match each value to the correct unit of measure:
100 litres kilolitre
0.1 litres hectolitre
10 litres decilitre
0.001 litres millilitre
1000 litres decalitre
0.01 litres centilitre
9.- Answer the questions below: a.- How many centilitres are there in 1 litre? b.- How many millilitres are there in 1 litre? c.- How many daL are there in 65 kL? d.- How many mL are there in 3.684 L? e.- How many kL are there in 0.28 L? f.- How many daL are there in 56000 dL? g.- How many mL are there in 4 kL? h.- How many cL are there 0.003 mL? i.- How many kL are there 23.9 hL? j.- How many L are there 50000 mL?
CHECKING EXERCISES
We work in pairs using these key structures:
Student A: What is your answer for exercise 1 a ? Student B: My answer is ………. Do you agree? Student A: Yes, I agree with you or I don’t agree with you. My answer is …….. because I (multiplied/divided) by……and I moved the decimal point …… places to the (right/left)
AREA
AREA NAME SYMBOL VALUE square kilometre km 2 1000000 square hectometre hm 2 10000 square decametre dam 2 100 square metre m2 1 square decimetre dm 2 0.01 square centimetre cm 2 0.0001 square millimetre mm 2 0.000001
10.- Answer the questions below: a.- How many square centimetres are there in 1 square metre? b.- How many square metres are there in 1 square kilometre? c.- How many dam 2 are there in 700 km 2 ? d.- How many m 2 are there in 2454 mm 2 ? e.- How many km 2 are there in 8 dam 2 ? f.- How many dam 2 are there in 60 dm 2 ? g.- How many mm 2 are there in 3.4 cm 2 ? h.- How many cm 2 are there 0.00005 km 2 ? i.- How many km 2 are there 96000 m 2 ? j.- How many dm2 are there 25.6 mm 2?
Work in pairs with this worksheet:
Match up pairs of amounts that are the same:
A B C D 1 9.25 g 9.25 m 2 92.5 dg 0.00925 km 2 925 L 925 mg 92500 cm 0.925 hm 2 3 0.000925 hm 2 92.5 mL 92.5 dm 9.25 cL 4 9250 dl 92500000 cm 2 92.5 dam 0.925 g
Example: 1A is the same than 1C
WORD PROBLEMS THAT INVOLVE UNITS OF MEASUREMENT
11.- ¿How many millilitres are there in half a litre? 12.- A bag of sugar weighs 1 kg and a drawing pin weighs 1 gram. ¿How many grams weigh together? 13.- The length of a car is 2 m 80 cm and the length of one caravan is 3 m 50 cm. How long in total is the car and the caravan? How much longer is the caravan? 14.- Which is the longest, 3.5 miles or 3 kilometres? Why? 15.- We can find in an English supermarket a bottle of milk with two paints. ¿How many litres of milk does the bottle contain? 16.- Carmen has a new television that is 46 inches tall. How many centimetres has her new television? 17.- Teresa’s bedroom is 3 metres wide and 6 metres long. Juan’s bedroom is 16 square metres big. Who has the bigger bedroom? 18.- Lidia has a rectangular flower garden that measures 12 metres by 15 metres. One bag of fertilizer can cover 16 m2. How many bags will she need to cover the entire garden? 19.- A vial of medicine contains 3 centilitres of liquid. One dose of the medicine is 5 millilitres. How many doses of medicine are in the vial? 20.- Dani takes 400 milligrams of vitamin C every day. How many grams of vitamin C does Dani take in April and May?
REVIEW QUESTIONS
21.- Answer the questions: a) How many millimetres are there in one metre? b) How many grams are there in one kilogram? c) How many centilitres are there in one litre? d) How many square millimetres are there in one square centimetre?
22.- Fill the gaps: a) 0.004 g are 4 mg because I …………….. by……and I moved the decimal point …… places to the ………… b) 79 L are 0.079 kL because I…………………by……. and I moved the decimal point ………… places to the………..
23.- Answer the following questions: a) How many mL are there in 7.98 L? b) How many cg are there in 6 dag? c) How many km are there in 23.45 m? d) How many hg are there in 90000 dg? e) How many m are there in 90 cm? f) How many daL are there in 3400 cL?
24.- a) Draw a square centimetre b) How many square centimetres are in these rectangles? c) How many square decimetres are in these rectangles?
Rectangle 1 Rectangle 2
25.- Paqui loves walking. Se walks 2.56 kilometres every day. How many metres does she walk in a week?
26.- The length of our classroom is 21 feet and the width is 6 metres. How many square metres are in our classroom? (Note: 1 foot = 30.48 cm)