Order of Operation
Subject:
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MATHEMATICS
Term:
FIRST TERM
Week:
WEEK 8
Class:
PRIMARY 6 / BASIC 6
Topic:
Order of Basic Operations in Mathematics
- Whole Numbers
- Fraction Numbers
- Decimals
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Previous lesson:
The pupils have previous knowledge of
Fractions and Decimals
that was taught as a topic in the previous lesson
Behavioural objectives:
At the end of the lesson, pupils will be able to
- Use the basic order of Operation in mathematics in the right order
- Explain the steps that are involved in the use of order of Operation in mathematics
- Explain BODMAS
Instructional Materials:
- Wall charts
- Pictures
- Related Online Video
- Flash Cards
- Abacus
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Methods of Teaching:
- Class Discussion
- Group Discussion
- Asking Questions
- Explanation
- Role Modelling
- Role Delegation
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Reference Materials:
- Scheme of Work
- Online Information
- Textbooks
- Workbooks
- Lagos State Basic Education Curriculum
Content:
WHAT IS ORDER OF OPERATION IN MATHEMATICS
In mathematics, the order of operations is a set of rules that dictate the sequence in which arithmetic operations should be performed. The purpose of the order of operations is to ensure that complex mathematical expressions are evaluated in a consistent and unambiguous way.
There are several different conventions for the order of operations, but a commonly used one is the “PEMDAS” acronym:
P: Parentheses first E: Exponents (ie Powers and Square Roots, etc.) MD: Multiplication and Division (left-to-right) AS: Addition and Subtraction (left-to-right)
For example, consider the following expression:
2 + 3 * 4 – 6 / 2
Using the order of operations, we first perform the operations within parentheses, then exponents, then multiplications and divisions (from left to right), and finally additions and subtractions (from left to right). In this case, the correct answer is 10. If we simply performed the operations from left to right, we would get a different answer.
It is important to use the order of operations consistently in order to avoid confusion and ensure that mathematical expressions are evaluated correctly.
What is BODMAS?
BODMAS is another acronym used to remember the order of operations in mathematics. It stands for:
B: Brackets first O: Orders (ie Powers and Square Roots, etc.) DM: Division and Multiplication (left-to-right) AS: Addition and Subtraction (left-to-right)
Like the PEMDAS acronym, BODMAS is used to specify the order in which arithmetic operations should be performed when evaluating complex mathematical expressions. The BODMAS acronym is particularly common in the UK and other parts of the Commonwealth, although it is also used in other regions of the world.
For example, consider the following expression:
2 + 3 * 4 – 6 / 2
Using the BODMAS acronym, we first perform the operations within brackets, then orders (such as exponents), then division and multiplication (from left to right), and finally additions and subtractions (from left to right). In this case, the correct answer is 10. If we simply performed the operations from left to right, we would get a different answer.
It is important to use the order of operations consistently in order to avoid confusion and ensure that mathematical expressions are evaluated correctly.
Evaluation :
- What does the acronym BODMAS stand for?
- In what order should operations be performed according to the BODMAS acronym?
- What is the purpose of the BODMAS acronym?
- When evaluating the expression 6 + 2 * 4 – 8 / 2, what is the correct result according to the BODMAS acronym?
- When evaluating the expression (6 + 2) * (4 – 8) / 2, what is the correct result according to the BODMAS acronym?
More Explanation
- The acronym BODMAS stands for Brackets, Orders, Division and Multiplication, Addition and Subtraction.
- According to the BODMAS acronym, operations should be performed in the following order: Brackets, Orders, Division and Multiplication (from left to right), Addition and Subtraction (from left to right).
- The purpose of the BODMAS acronym is to specify the order in which arithmetic operations should be performed when evaluating complex mathematical expressions. This ensures that expressions are evaluated in a consistent and unambiguous way.
- The correct result of the expression 6 + 2 * 4 – 8 / 2 according to the BODMAS acronym is 10.
- The correct result of the expression (6 + 2) * (4 – 8) / 2 according to the BODMAS acronym is -6
Evaluation.
- What is the sum of 1/3 and 1/4? a) 1/7 b) 3/12 c) 5/7 d) 7/12
- What is the difference between 1/2 and 1/3? a) 5/6 b) 1/5 c) 1/4 d) 1/3
- What is the sum of 2 1/4 and 3 3/8? a) 5 3/8 b) 5 5/8 c) 6 1/4 d) 6 3/8
- What is the difference between 3 1/3 and 2 2/3? a) 2/9 b) 5/9 c) 2/3 d) 7/9
- What is the sum of 1/4 and 2/5? a) 13/20 b) 3/8 c) 3/7 d) 3/9
Presentation
The topic is presented step by step
Step 1:
The class teacher revises the previous topics
Step 2.
He introduces the new topic
Step 3:
The class teacher allows the pupils to give their own examples and he corrects them when the needs arise
Conclusion
In conclusion, addition and subtraction of decimals involves aligning the decimal points in a column and performing the operations on the digits in each place value. It’s important to carry or borrow as needed and to pay attention to the number of decimal places in the result. By following these steps, you can easily add and subtract decimals to solve problems in various contexts.
The class teacher wraps up or concludes the lesson by giving out short notes to summarize the topic that he or she has just taught.
The class teacher also goes round to make sure that the notes are well copied or well written by the pupils.
He or she does the necessary corrections when and where the needs arise.