Lesson Plan of Order of operation: BOD MAS rule
Mathematics Grade V
Students’ Learning Outcomes
· Recognize BOD MAS rule, using entirely parentheses ()
· Carryout combined operations using BOD MAS rules.
Information for Teacher
BOD MAS: is a supportive abbreviation pregnant brackets, order, division, multiplication, improver in addition to subtraction, confirming that equation steps are completed inwards the right order. Influenza A virus subtype H5N1 mathematical interrogation alongside manifold operations may hand dissimilar answers live liable on the gild inwards which it is solved.
Concept Map
Operations
· "Operations" hateful things similar add, subtract, multiply, divide, squaring, etc. If it isn't a let on it is mayhap an operation.
· But, when yous encounter something like...
· 7 + (6 × 52 + 3)
· ... What part should yous calculate first?
· Start at the left in addition to become to the right?
· Or become from right to left?
· Calculate them inwards the incorrect order, in addition to yous volition learn a incorrect answer!
· So, long agone people agreed to follow rules when doing calculations, in addition to they are:
Order of Operations
· Do things inwards Brackets First
· yes 6 × (5 + 3) = 6 × 8 = 48
· not 6 × (5 + 3) = 30 + three = 33 (wrong
· Exponents (Powers, Roots) earlier Multiply, Divide, Add or Subtract
· yes 5 × 22 = 5 × 4 = 20
· not 5 × 22 = 102 = 100 (wrong)
· Multiply or Divide earlier yous Add or Subtract
· yes 2 + five × three = 2 + fifteen = 17
· not 2 + five × three = 7 × three = 21 (wrong)
· Otherwise merely become left to right
· yes 30 ÷ five × three = 6 × three = 1
· not 30 ÷ five × three = 30 ÷ fifteen = 2 (wrong
How Do I Remember It All...? BOD MAS!
· B: Brackets first
· O: Order (i.e. Powers in addition to Square Roots, etc.)
· D: Division (left to -to - right)
· M: Multiplication (left -to - right)
· A: Addition (left -to - right)
· S: Subtraction (left -to - right)
· What virtually vii + (6 × 52 + 3)?
· 7 + (6 × 52 + 3)
· 7 + (6 × 25 + 3) Start within Brackets, in addition to thence piece of job "Orders" First
· 7 + (150 + 3) Then Multiply
· 7 + (153) Then Add
· 7 + 153 Brackets completed, terminal functioning is add
· 160 DONE!
· Parentheses are used inwards math to present a part of a math appear or equation that must live solved first, earlier whatever other calculation are done.
· In this lesson nosotros volition piece of job entirely parentheses () equally brackets.
· While teaching the lesson, likewise consult textbook at all steps where in addition to when applicable.
Material / Resources
Board, marker, textbook
Worm upwardly activity
· Introduce to the students that math operations say whether to add, subtract, multiply or split in addition to parentheses say which functioning is to live done first.
· Write three + 2 x 4 = ------- on board
· Write xx equally reply in addition to enquire who is agreeing?
· Write eleven equally reply in addition to enquire who agrees or disagree?
· What are nosotros to do – how tin hand the sack at that spot live 2 answers inwards math?
· Explain the dominion that nosotros do multiplication first, improver second.
· Ask tin hand the sack I brand three + 2 x 4 = 20? True
· Tell the students that nosotros follow the gild like:
1. B: brackets first
2. O: orders (Powers in addition to Square roots etc.)
3. D: Division
4. M: Multiplication
5. A: Addition
6. S: Subtraction
· Explain to the students that:
· Parentheses (), tin hand the sack live used inwards math to present which part of the math appear should live done first. i.e. 8 – five + 1 in addition to 8- (5+1). The entirely departure betwixt these 2 expressions is the parentheses.
· Operation given inwards parentheses should live solved first.
Development
Activity 1
· Tell the students that nosotros do functioning on numbers. We add, subtract, multiply divide, but what to do if nosotros cause got to a greater extent than than i functioning to do at a time?
· How do nosotros solve this: three – five ÷ (1 + 4) =?
· Let’s pose BOD MAS into practice.
· Repeat the acronym alongside whole shape i.e. (), OF, ÷,x, +,-,
· All is to do calculations inwards this gild in addition to solve the question.
· Write next examples on the board in addition to solve alongside help of the students:
21 + fourteen ÷ 7 = | (21 + 2 = 23) (35 ÷ vii = 5) (3 x 3 =9) (3 + - half dozen = 2) | |
21 + fourteen ÷ 7 = | ||
3 x (5 – 2) = | ||
3 + five – (2 + 4) = |
· Write start event on the board refer to the BOD MAS dominion in addition to ask
o Do nosotros cause got whatever (parenthesis)? (No)
o Do nosotros cause got whatever gild or powers? (No)
o What to do start improver or division? (division)
· Similarly speak over all the examples on board alongside students.
Activity 2
· Write on the board in addition to explaining (8 – 4) + five x 8
· Parentheses come upwardly first, thence 8 – 4 = 4.
· Replace inwards the appear alongside 4, where (8 – 4) was, so: 4 + five x 8.
· This contains improver in addition to multiplication. Multiplication comes earlier addition, thence five x 8 = 40. Replace forty alongside five x 8 inwards the sentence
· That leaves 4 + 40. Finally, add together 4 + forty = 44. Sole few to a greater extent than same examples on the board alongside help of the students.
· Divide shape inwards groups of 4 in addition to distribute mathematical sentences written on newspaper pieces. Each grouping volition learn the required final result past times applying brackets e.g.
· Groups volition swap their sheets later on completing for the peer checking.
Activity 2
· Divide shape into pairs
· Write numbers from 2 - nine on newspaper slips crimp them in addition to pose them inwards a box.
· Ask each span to cause got i newspaper slip.
· Give them pedagogy that they cause got to piece of job the let on in addition to operations to learn the reply equal to 1.
· For event if they cause got got 4, they cause got to piece of job 4 4 times in addition to learn reply equal to like: ( 4 ÷ 4) + 4 – 1
· Similarly notice an appear to brand the let on equal to 0.
· Time the activity.
· If students don’t learn the answers. Solve on the board alongside the help of the students.
· This volition hand them extensive practise alongside application of BOD MAS.
Sum upwardly / Conclusion
· Parenthesis is used to present what should live done start inwards arithmetics expression.
· Parenthesis ( ) are the most often used grouping symbol.
Assessment
· Give the next questions to solve individually.
Follow up
· Make five dissimilar arithmetical expressions using all operations in addition to parenthesis, giving reply equal to five for each expression
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