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BIDMAS – 4 – Demonstration
This resource provides animated demonstrations of the mathematical method.
Check animations and delete slides not needed for your class.
3 + 2 × 5
= 25
= 13
Who do you think is correct?
3 + 2 × 5
= 25
Correct for earth!
Correct for
the alien!
= 13
Who do you think is correct?
= 13
We have two operations in this calculation.
Add
Multiply
According to our maths rules, we must multiply before adding.
3 + 2 × 5
3 + 10
13
Over hundreds of years rules developed
to make sure mathematics was
understood by everyone.
Alien rule: Add first, multiply second. Earth rule: Multiply first, add second.
Find the answer for each calculation using the alien rule, and the earth rule.
4 + 3 × 2 10
14
5 × 5 + 2 27
35
3 + 2 × 4 11
20
2 × 6 − 5 7
2
8 − 4 ÷ 2 6
2
8 − 3 + 2 − 1
Change the order of operations for these calculations.
How many different results can you find?
When is the order of operations most important?
4 × 8 ÷ 2
5 + 2 × 3
4 × 3 − 2
6 + 8 − 4
24 ÷ 8 − 2
= 6 = 16
= 21
= 11
= 4
= 10 = 1
= 4
= 10
Only two of these calculations give the correct answer.
Can you work out the order of operations?
3 4
5
3 + 4 × 5 (3 + 4) × 5
5 × 3 + 5 × 4
The order of operations tells us their priority.
( )
1st Brackets
42
2nd Indices
÷ ×
3rd Division & Multiplication
+ −
4th Addition & Subtraction
helps us remember!
Calculations on the inside.
( )
Left to right
÷ ×
Left to right
+ −
6 + 5 × 3 =
6 + 15 = 21
Bracket the
priority
calculation.
Calculate bracket
& rewrite.
( )
Calculations on the inside.
( )
Left to right
÷ ×
Left to right
+ −
4 + 2 × 6 =
4 + 12 = 16
Bracket the
priority
calculation.
Calculate bracket
& rewrite.
( )
Calculations on the inside.
( )
Left to right
÷ ×
Left to right
+ −
4 × 3 − 7 =
12 − 7 = 5
Bracket the
priority
calculation.
Calculate bracket
& rewrite.
( )
Calculations on the inside.
( )
Left to right
÷ ×
Left to right
+ −
6 + 15 ÷ 5 =
6 + 3 = 9
Bracket the
priority
calculation.
Calculate bracket
& rewrite.
( )
Calculations on the inside.
( )
Left to right
÷ ×
Left to right
+ −
(8 + 6) ÷ 2 =
14 ÷ 2 = 7
Calculate bracket
& rewrite.
Calculations on the inside.
( )
Left to right
÷ ×
Left to right
+ −
10 ÷ 2 − 2 =
5 − 2 = 3
Bracket the
priority
calculation.
Calculate bracket
& rewrite.
( )
Calculations on the inside.
( )
Left to right
÷ ×
Left to right
+ −
4 × 3 − 5 × 2 =
12 − 10 = 2
Bracket the
priority
calculations.
Calculate bracket
& rewrite.
( ) ( )
Calculations on the inside.
( )
Left to right
÷ ×
Left to right
+ −
8 + 7 × 2 − 6 =
8 + 14 − 6 = 16
Bracket the
priority
calculations.
Calculate bracket
& rewrite.
( )
Calculations on the inside.
( )
Left to right
÷ ×
Left to right
+ −
Bracket the
priority
calculations.
Calculate bracket
& rewrite.
Copy & complete these sums.
2 × 4 + 3 = 11
6 + 5 × 2 = 16
(5 + 2) × 4 = 28
(3 + 2) × (8 ÷ 4) = 10
6 + 4 × 4 − 2 = 20
7 + 12 ÷ 3 + 5 = 16
6 + 4 × 3 ÷ 2 = 12
20 ÷ 4 × 2 + 8 = 18
12 − 2 ÷ 5 − 1 = 1
6 + 2 × 3 + 9 ÷ 3 = 15
A
B
C
D
E
F
G
H
I
J
Calculations on the inside.
( )
Left to right
÷ ×
Left to right
+ −
Calculate bracket
& rewrite.
Copy & complete these sums.
2 × 4 + 3 = 11
6 + 5 × 2 = 16
(5 + 2) × 4 = 28
(3 + 2) × (8 ÷ 4) = 10
6 + 4 × 4 − 2 = 20
7 + 12 ÷ 3 + 5 = 16
6 + 4 × 3 ÷ 2 = 12
20 ÷ 4 × 2 + 8 = 18
12 − 2 ÷ 5 − 1 = 1
6 + 2 × 3 + 9 ÷ 3 = 15
A
B
C
D
E
F
G
H
I
J
Bracket the
priority
calculations.
Calculations on the inside.
( )
Left to right
÷ ×
Left to right
+ −
Calculate bracket
& rewrite.
Copy & complete these sums.
2 × 4 + 3 = 11
6 + 5 × 2 = 16
(5 + 2) × 4 = 28
(3 + 2) × (8 ÷ 4) = 10
6 + 4 × 4 − 2 = 20
7 + 12 ÷ 3 + 5 = 16
6 + 4 × 3 ÷ 2 = 12
20 ÷ 4 × 2 + 8 = 18
12 − 2 ÷ 5 − 1 = 1
6 + 2 × 3 + 9 ÷ 3 = 15
A
B
C
D
E
F
G
H
I
J
Bracket the
priority
calculations.
Questions?
Comments?
Suggestions?
…or have you found a mistake!?
Any feedback would be appreciated .
Please feel free to email:
tom@goteachmaths.co.uk

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BIDMAS-4-Demonstration.pptx

  • 1. BIDMAS – 4 – Demonstration This resource provides animated demonstrations of the mathematical method. Check animations and delete slides not needed for your class.
  • 2. 3 + 2 × 5 = 25 = 13 Who do you think is correct?
  • 3. 3 + 2 × 5 = 25 Correct for earth! Correct for the alien! = 13 Who do you think is correct?
  • 4. = 13 We have two operations in this calculation. Add Multiply According to our maths rules, we must multiply before adding. 3 + 2 × 5 3 + 10 13 Over hundreds of years rules developed to make sure mathematics was understood by everyone.
  • 5. Alien rule: Add first, multiply second. Earth rule: Multiply first, add second. Find the answer for each calculation using the alien rule, and the earth rule. 4 + 3 × 2 10 14 5 × 5 + 2 27 35 3 + 2 × 4 11 20 2 × 6 − 5 7 2 8 − 4 ÷ 2 6 2
  • 6. 8 − 3 + 2 − 1 Change the order of operations for these calculations. How many different results can you find? When is the order of operations most important? 4 × 8 ÷ 2 5 + 2 × 3 4 × 3 − 2 6 + 8 − 4 24 ÷ 8 − 2 = 6 = 16 = 21 = 11 = 4 = 10 = 1 = 4 = 10
  • 7. Only two of these calculations give the correct answer. Can you work out the order of operations? 3 4 5 3 + 4 × 5 (3 + 4) × 5 5 × 3 + 5 × 4
  • 8. The order of operations tells us their priority. ( ) 1st Brackets 42 2nd Indices ÷ × 3rd Division & Multiplication + − 4th Addition & Subtraction helps us remember!
  • 9. Calculations on the inside. ( ) Left to right ÷ × Left to right + − 6 + 5 × 3 = 6 + 15 = 21 Bracket the priority calculation. Calculate bracket & rewrite. ( )
  • 10. Calculations on the inside. ( ) Left to right ÷ × Left to right + − 4 + 2 × 6 = 4 + 12 = 16 Bracket the priority calculation. Calculate bracket & rewrite. ( )
  • 11. Calculations on the inside. ( ) Left to right ÷ × Left to right + − 4 × 3 − 7 = 12 − 7 = 5 Bracket the priority calculation. Calculate bracket & rewrite. ( )
  • 12. Calculations on the inside. ( ) Left to right ÷ × Left to right + − 6 + 15 ÷ 5 = 6 + 3 = 9 Bracket the priority calculation. Calculate bracket & rewrite. ( )
  • 13. Calculations on the inside. ( ) Left to right ÷ × Left to right + − (8 + 6) ÷ 2 = 14 ÷ 2 = 7 Calculate bracket & rewrite.
  • 14. Calculations on the inside. ( ) Left to right ÷ × Left to right + − 10 ÷ 2 − 2 = 5 − 2 = 3 Bracket the priority calculation. Calculate bracket & rewrite. ( )
  • 15. Calculations on the inside. ( ) Left to right ÷ × Left to right + − 4 × 3 − 5 × 2 = 12 − 10 = 2 Bracket the priority calculations. Calculate bracket & rewrite. ( ) ( )
  • 16. Calculations on the inside. ( ) Left to right ÷ × Left to right + − 8 + 7 × 2 − 6 = 8 + 14 − 6 = 16 Bracket the priority calculations. Calculate bracket & rewrite. ( )
  • 17. Calculations on the inside. ( ) Left to right ÷ × Left to right + − Bracket the priority calculations. Calculate bracket & rewrite. Copy & complete these sums. 2 × 4 + 3 = 11 6 + 5 × 2 = 16 (5 + 2) × 4 = 28 (3 + 2) × (8 ÷ 4) = 10 6 + 4 × 4 − 2 = 20 7 + 12 ÷ 3 + 5 = 16 6 + 4 × 3 ÷ 2 = 12 20 ÷ 4 × 2 + 8 = 18 12 − 2 ÷ 5 − 1 = 1 6 + 2 × 3 + 9 ÷ 3 = 15 A B C D E F G H I J
  • 18. Calculations on the inside. ( ) Left to right ÷ × Left to right + − Calculate bracket & rewrite. Copy & complete these sums. 2 × 4 + 3 = 11 6 + 5 × 2 = 16 (5 + 2) × 4 = 28 (3 + 2) × (8 ÷ 4) = 10 6 + 4 × 4 − 2 = 20 7 + 12 ÷ 3 + 5 = 16 6 + 4 × 3 ÷ 2 = 12 20 ÷ 4 × 2 + 8 = 18 12 − 2 ÷ 5 − 1 = 1 6 + 2 × 3 + 9 ÷ 3 = 15 A B C D E F G H I J Bracket the priority calculations.
  • 19. Calculations on the inside. ( ) Left to right ÷ × Left to right + − Calculate bracket & rewrite. Copy & complete these sums. 2 × 4 + 3 = 11 6 + 5 × 2 = 16 (5 + 2) × 4 = 28 (3 + 2) × (8 ÷ 4) = 10 6 + 4 × 4 − 2 = 20 7 + 12 ÷ 3 + 5 = 16 6 + 4 × 3 ÷ 2 = 12 20 ÷ 4 × 2 + 8 = 18 12 − 2 ÷ 5 − 1 = 1 6 + 2 × 3 + 9 ÷ 3 = 15 A B C D E F G H I J Bracket the priority calculations.
  • 20. Questions? Comments? Suggestions? …or have you found a mistake!? Any feedback would be appreciated . Please feel free to email: tom@goteachmaths.co.uk