Session 16: BODMAS (+,-, ×, ÷)

Introduction activity (1025 minutes): 

Give the children problems first.first .(10 minutes)

1. 6 + 4 × 5 = ?
2. (8 + 2) × (10 − 4) = ?
3. 50 − 6 × 3 + 8 ÷ 2 = ?
4. (36 ÷ 6) + 2 × (3 + 1) = ?
5. 100 ÷ (5 × 2) + 3 = ?

• Then ask the students to find the answer.
• They will get different types of answers
• Then analyze why everyone gets different answers instead of the same ones.
• Then tell the children that we need to follow some rules to ensure that everyone gets the same correct answers

Then introduce BODMAS (15 minutes) 

BODMAS stands for Brackets, Orders, Division/Multiplication, Addition/Subtraction. It is a rule used to determine the order of operations when solving mathematical expressions. The steps are:

Steps of Solving BODMAS

1. Brackets:B – Brackets ( Solve anything inside parentheses( first.), [ ], or { } first .Example: (3 + 2) × 4 → 5 × 4 = 20)
2. Orders:O Handle– powersOrders (Calculate exponents (powers) or rootsroots. (likeExample: squares,2² cubes,= square roots, etc.).4)

3. D – Division and(Do Multiplication:any Fromdivision from left to right.)

    

4. Addition and

   M Subtraction:– FromMultiplication (Do any multiplication from left to right.right)

    

5. This rule

   A helps– Addition (Do any addition from left to avoidright)

   confusion

    and

   ensures everyone solves math problems the same way.
6. Then ask

   S them– Subtraction (Do any subtraction from left to redoright)

   the problem they tried to do first.

Main Activity (

 Practice session ( 30 minutes )

Solve:

8+4× 3-6÷2
 

Solution: Solution

1. According to BODMAS (Brackets, Orders (powers & roots), Division and Multiplication, Addition and Subtraction), we first handle multiplication and division from left to right, then addition and subtraction.
2. Multiply and divide first: 8+(4×3)-(6÷2)=8+12-3
3. Then, perform addition and subtraction from left to right:  

                         8+12=20,20-3=17

, Answer: 17

Solve 

5×(6+4)-3square 

Solution :

1. Start with the parentheses :     5×(6+4)-3square =5×10-3 square
2. Next, handle the exponent (3 squared): 5×10-9
3. performePerform multiplication :50-9=41 , Answer 41

Answer 41

Solve 

(12÷4)+(5×2)-3

Solution :

1. Handle the division and multiplication first 

(12÷4)+(5×2)-3=3+10-3

2. perform addition and subtraction:

3+10=13, 13-3=10

10, 

Answer 10

GameBODMAS timeRelay Race  (20 minutes):

BODMAS Relay Race

Objective: Solve as many BODMAS problems as possible in a race format.

How to Play:

• Divide players into teams. Each team will have a whiteboard and a marker or paper and a pen.
• The host reads out a math problem that requires the BODMAS rule to solve (e.g., 3 × (4 + 2) - 5).
• The team must solve it step by step, following the BODMAS order.
• When the first team solves the problem correctly, they pass the turn to the next team member who has to solve a new problem.
• Continue until the team solves a set number of problems. The team that finishes first with all correct answers wins.

BODMAS Relay Race Problems

1. (4 + 6) × 3 - 8

• Step-by-step solution:
• First, solve inside the brackets: (4 + 6) = 10
• Then multiply: 10 × 3 = 30
• Finally subtract: 30 - 8 = 22

2. 8 × (5 + 7) ÷ 4

• Step-by-step solution:
• First, solve inside the brackets: (5 + 7) = 12
• Then multiply: 8 × 12 = 96
• Finally divide: 96 ÷ 4 = 24
  

3. (9 + 3) × 2 + 5

• Step-by-step solution:
• First, solve inside the brackets: (9 + 3) = 12
• Then multiply: 12 × 2 = 24
• Finally add: 24 + 5 = 29
  

4. (15 - 3) × (7 ÷ 7)

• Step-by-step solution:
• First, solve inside the brackets: (15 - 3) = 12 and (7 ÷ 7) = 1
• Then multiply: 12 × 1 = 12

• 5. (6 + 4) × (12 ÷ 3) - 2

Step-by-step solution:

• First, solve inside the brackets: (6 + 4) = 10 and (12 ÷ 3) = 4
• Then multiply: 10 × 4 = 40
• Finally subtract: 40 - 2 = 38
• 6. 5 × (8 ÷ 2) + (6 + 4)
• Step-by-step solution:
• First, solve inside the brackets: (8 ÷ 2) = 4 and (6 + 4) = 10
• Then multiply: 5 × 4 = 20
• Finally add: 20 + 10 = 30
  

7. (18 ÷ 3) + (6 × 2)

• Step-by-step solution:
• First, solve inside the brackets: (18 ÷ 3) = 6 and (6 × 2) = 12
• Then add: 6 + 12 = 18
  

8. (7 × 2) + (8 ÷ 4) - 5

• Step-by-step solution:
• First, solve inside the brackets: (7 × 2) = 14 and (8 ÷ 4) = 2
• Then add: 14 + 2 = 16
• Finally subtract: 16 - 5 = 11

9. (12 ÷ 2) × (9 - 4)

• Step-by-step solution:
• First, solve inside the brackets: (12 ÷ 2) = 6 and (9 - 4) = 5
• Then multiply: 6 × 5 = 30
  

10. (10 × 5) + (3 × 2) - 4

• Step-by-step solution:
• First, solve inside the brackets: (10 × 5) = 50 and (3 × 2) = 6
• Then add: 50 + 6 = 56
• Finally subtract: 56 - 4 = 52

Review  Questions (510 minutes)

• Why is the order of operations important in math?

• What happens if we don’t follow BODMAS correctly?

• Which part of BODMAS do you find most challenging and why?

• How do brackets change the outcome of an expression?

Follow up taskTask (5 minutes)

1.Home BODMAS Warm-UpWork
Simplify the following using BODMAS:

a) 6 + 3 × 2

b) (4 + 5) × 3

c) 18 ÷ (3 × 3)

d) 24 – [6 + (2 × 3)]

Expected Learning Outcome

SkillKnowledge Buildingbuilding: 

• Foundational understanding of operations
• Problem solving skill

Skill building:

• Recognition Skils.
  Sequencingskill
Skills 
 Computation Skills
 Problem-Solving Skills
 Explanation
• Collaborative and Reasoning
  
  reflective learning