Heather Peeler
·5mon agoHow to Teach the Order of Operations to 5th Grade StudentsHeather Peeler
I often get calls from parents telling me their kids' homework is too hard (specifically anything related to order of operation). So I always remind them that teaching the order of operations isnât optional đ If students donât get it now, theyâll struggle with algebra later. Iâve seen too many kids try to solve a problem the wrong way because no one drilled the rules into them. Thatâs why I make sure my students know exactly how PEMDAS works, and I donât move on until they do.
Here are a few order of operations worksheets you can start with.
Start Simple and Make It Stick
I always start with something basic. A problem like 5 + 2 Ă 3 is perfect. Most kids want to add first because thatâs what theyâre used to. I stop them right there. âMultiplication comes first,â I tell them. âAlways.â We go step by step: 2 Ă 3 = 6, then add 5, so the answer is 11. It seems simple, but I donât let them just nod and move on. They need to prove they understand by solving more problems like it.
Parentheses Change Everything
Once theyâve got the basics down, I throw parentheses into the mix... I tell them, âParentheses are the boss. Whateverâs inside has to be solved first.â I give them a problem like 6 + (5 Ă 2). They know they have to do whatâs in the parentheses first: 5 Ă 2 = 10. Then tthey add 6 to get 16.
Some kids still try to go left to right out of habit. Thatâs when I start handing out extra problems (and when parents start to call me đ ). If they donât get it now, itâll just get worse when exponents and more complex expressions come into play.
Real-life math (in addition to worksheets)
I usually try not to just give them random numbers. I make them use math the way theyâll need it in real life. One of my students once told me he got the wrong total at a store because he forgot to add tax after calculating a discount. That turned into a lesson for the whole class. I had them work out sale prices and travel times to prove that order of operations isnât just something for tests. It actually matters :)
Step it up with complex problems
Once they show me they can handle simple equations, I move them to the next level. I put a problem like this on the board:
3 Ă (5 + 2) - 4 Ă· 2
We go step by step:
- Parentheses first: 5 + 2 = 7
- Then multiplication: 3 Ă 7 = 21
- Division next: 4 Ă· 2 = 2
- Finally, subtraction: 21 - 2 = 19
If a student messes up the order, try not to just give them the answer.. make them go back and figure out where they went wrong. They need to learn to check their own work.
Exponents: No Guessing Allowed
When I bring in exponents, I remind them that exponents come after parentheses but before multiplication and division. A problem like (5Âł - 4) Ă· 11 makes that clear.
- First, handle the exponent: 5Âł = 125
- Then subtract: 125 - 4 = 121
- Last, divide: 121 Ă· 11 = 11
I donât accept guessing... If someone canât explain why they solved it a certain way, they redo it.
Practice until itâs second nature
I donât believe in moving on just because a few kids get it. If even one of mine is struggling, we keep going. The only way to get this down is through practice. I make them double-check their work, explain their reasoning, and correct their mistakes. By the end, they will know PEMDAS like the back of their hand :)
Iâve seen kids go from completely lost to solving problems confidently just because they finally had it drilled into them the right way. If you teach this the right way, theyâll never forget it. đ
