1st New york voice: Hey! I鈥檓 trying to play my saxophone!
2nd New York Voice: Hey! I鈥檓 trying to listen to my cat play the drums here!
Sgt. Janice Fungal: The streets! The craziness multiplies! The city divided! It all adds up! It takes it from me!鈥. And then one night, it all got too much! EVERYBODY, Freeze! Don鈥檛 move! Number 5, stand up straight! Oh, you always slouch DO YA!?
I ain鈥檛 never seen anything like it! All numbers and brackets and things, all together in one crazy line up! How to make sense of it all! How to ~
V.O: Kick Sum Maths!
Narrator: You all know how to add, subtract, divide and multiply. So, 5 plus 8 won鈥檛 be a problem. Or 3 multiplied by 3. But what happens if your Maths problem looks like this:
Five plus eight minus 10 divided by 5 plus three times three plus five squared minus open brackets, four minus one, close brackets? You might get this wrong if you didn鈥檛 know about The Order of Operations.
Sgt. Janice Fungal: WE NEED ORDER HERE PEOPLE! ORDER!!! Let鈥檚 work this through nice and slow. Ok, Mr Voice in the Sky, you carry on, I鈥檒l make sure nobody steps out of line.
Narrator: The order of operations, and remember an operation is just a fancy word for multiplying, dividing, subtracting and adding, is just what order we try to work out this problem. So, what is the order? Well, first of all, we work out what鈥檚 in brackets and powers such as squared or cubed.
Sgt. Janice Fungal: That鈥檚 right! There鈥檚 an ORDER! Do it in order. Brackets 鈥 so 4 minus 1 is 3. Then the squared. Squared is the little 2. If it was to the power of 3 it would be 5 times 5 times 5. But it ain鈥檛, it鈥檚 two, so it鈥檚 five times five, which is twenty-five.
Narrator: I was going to do the working out.
Sgt. Janice Fungal: I am the ranking officer. But by all means, have a go, hero. Because next up is multiplication and division. That鈥檚 the order. Go to it, Voicey.
Narrator: So, 10 divided by 5 is 2 and 3 multiplied by 3 is 9. And last of all, we ~
Sgt. Janice Fungal: Add and Subtract! Working from left to right! Go to it V Man.
Narrator: That鈥檚 five plus eight, which is thirteen minus 2, which is 11, plus nine which is twenty plus twenty five which is forty five minus three, which gives us forty two. Forty Two.
Sgt. Janice Fungal: Wow. 42. Order of operations is the CSI of Maths.
Narrator: You鈥檝e not quite worked out the meaning of life yet, but Order of Operations teaches us to do things in the right order. It鈥檚 important to鈥
Sgt. Janice Fungal: NOT PANIC! And REMEMBER THE ORDER OF OPERATIONS! Go home 42! You鈥檙e somebody鈥檚 answer! Don鈥檛 make any mistakes. Go home.
Now, can Order of Operations get me a coffee? And a doughnut?
Operations: Grumpy walla鈥 I say鈥 Do you mind鈥 How rude!
Multiplication: After you.
Division: After you.
Addition: After you.
Subtraction: No Sir, You鈥檙e to the left of me. Remember? Left to right? So, After you.
Addition: Why thank you.
Video summary
In this clip the order of operations in calculations is introduced.
Correct order of operations ensures that mathematical expressions are unambiguous.
We see a calculation involving all four arithmetic operations, brackets and an exponent. The calculation seems complicated, but by doing one operation at a time and in the right order, we arrive at the correct answer.
The end sketch further demonstrates correct order of operations, utilising the great British traditions of manners and queuing.
This clip is from the series Kick Sum Maths.
Teacher Notes
Students could be encouraged to explore how and when inserting brackets can change the result of a calculation.
The order of operations can serve as an ideal opportunity for revision of basic number facts and skills.
In conjunction with fractions, students could also explore when brackets are absent yet implied, for example the fraction with 5-3 as numerator and 6+4 as denominator.
These clips could be used for teaching Maths at KS2 or at a beginner level in England, Wales and Northern Ireland and 1st and 2nd Level in Scotland.
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