welcome to United for math in this lesson we're gonna be focusing on the key words for problem solving understanding these key words is really key to being able to solve any word problem if students have a great understanding of which terms go with which operation they'll have no problem .

Deciding what they need to do in each of their word problems we're gonna start first by looking at the key terms for addition in addition we have terms like sum total plus in all together and all together and increased by you'll notice that all of these terms seem to be increasing or getting larger so let's take a look at a word problem where .

We're gonna see one of these addition keywords so in this problem we have the pet store had 13 rabbits 10 gerbils and 8 hamsters how many animals did they have altogether so we can see that keyword right here is all together our next operation is subtraction when we're looking at subtraction problems we'll see keywords like difference .

– takeaway and then a special group with the how many so we have how many or not how many fewer how many remain how many more or how many less and also how many are left over so when you see how many in a problem you really want to take a look at what it's defining in that question so let's take a look at a subtraction problem where we'll .

Encounter some of these keywords in this word problem we have max oo 28 monkeys and 18 elephants at the zoo what is the difference between the number of monkeys and elephants he saw now our key word here is difference that's also the answer to a subtraction problem one thing that students often get confused about that term difference is that .

They're looking for characteristics so if I gave this question out to students they'd often want to tell me what the difference was between a monkey and an elephant that's not what I'm look I'm looking for the numerical difference which means that we'll be subtracting in our next set we're going to be looking at the key terms for multiplication in .

Multiplication you'll find terms like times each in all twice product area double x and even triple you'll notice that some of those terms for multiplication are the same as addition this is because we have to remember that multiplication is just repeated addition when you see problems with multiplication you'll often find terms .

Like each and in all paired together so keep an eye on those and when in doubt always draw out those problems so let's take a look at a multiplication problem and find those keywords in this problem we have Laney was making 4 grilled cheese sandwiches for her family each sandwich needed 3 pieces of cheese how many pieces of cheese will Lanie need to .

Make all of the sandwiches so even though we have terms like how many they're not paired up with fewer or less or leftover we're really looking for our key terms like each sandwich now we need to know how many pieces of cheese she'll need to make all of the sandwiches so how many could be one of the key terms but really we're looking for this key .

Term each in this problem because that's going to tell us that we have different groups and there's a sort a certain amount in each group so that makes this problem multiplication the last set of terms we'll be looking at will be those for division key terms for division include shared equally half same split quotient divide separate equal groups .

And how many in or on each those terms clearly indicate that we're splitting or separating in two equal groups so let's take a look at a division problem where we can find some of these keywords in this problem there are 18 children in the soccer league on three team if each team has the same number of players how many players are on each .

Team so I see each a lot and each is a term that's used in both multiplication and division but we're looking if each team has the same number and that includes breaking up equally we want to find out how many are on each team so this problem has several different examples of key terms that point directly to division as we can see in .

That example there were several key terms that were pointing straight towards division so students will know exactly what they need to do to solve that problem the same works for all the keywords if they have a great understanding and can remember which keywords go with which operation then they'll be able to solve any problem .

That they encounter sometimes they'll have multi-step problems will they'll see several of these different key terms and have to solve different problems within one large word problem if they have a good understanding of those key terms they'll know just what to do and remember when in doubt draw it out always encourage students to create .

Models to go along with their problem if they're struggling to figure out what step to do next I hope this clears up key words for you and that you'll use it when you're using that cube strategy for word problems thank you again for joining us at United for math .