Developing the ability of doing the operations with the common fractions.
Learning effect
You do the operations with the common fractions.
You solve the text task using the operations with the fractions.
You use English to describe the order of operations with the fractions.
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Today you are going to develop the ability of doing the operations with the fractions. Prepare the cards with the following fractions: , , , , , , , and bring them to the class. Put the cards on the desk. Draw two fractions, choose the operation which you are going to complete (addition, subtraction, multiplication, division). Write the appropriate calculations in your notebook. Repeat the activity for few times.
Task 1
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Watch the slideshow. You are going to watch the order of the operations with the fractions.
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Conclusion:
The order of the operations with the fractions:
Firstly we do the operations in brackets.
Then exponentiation, multiplication or division (in order they appear).
Finally the addition or subtraction (in order they appear).
Task 2
Calculate:
a)
b)
c)
d)
Task 3
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In a bottle there is of a litre of juice, in a jug of a litre more. How much more of the juice is in the jug than in the bottle?
Task 4
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Calculate:
a)
b)
Task 5
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Michael picked up of a litre of wild strawberries, John of a litre, and Tom of a litre. Did these three friends pick up more or less wild strawberries than one litre?
Task 6
An extra task:
In a class of all the students go to the swimming lesson, and four students more what means half a class attend the dancing classes. How many students are there in that class?
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Remember:
When we do the operations with the common fractions we:
Firstly we do the operations in brackets.
hen exponentiation, multiplication or division (in order they appear).
Finally the addition or subtraction (in order they appear).
Check what you have learned by doing the following tasks.
Exercises
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Exercise 1
Exercise 2
The Christmas decoration was made of 400 multi‑coloured stars – bigger and smaller ones. The big stars were of all stars and of the small stars was gold. How many small golden stars were used for the Christmas decoration?
90
Exercise 3
Mr Kowalski sawed the of the field with the rye, of the field with the oats. The half of the remaining rest of the field he leased to his best friend Mr Nowak. What part of the field does Mr Nowak rent?
Describe the order of the operations with fractions in English.