Why Do We Solve Word Problems?
People have been using numbers to solve real-life problems for a very, very long time! Even before there were pencils and paper, people needed to count things. They counted animals, food, and friends. Let's look at how people learned to add and subtract, just like you are learning right now.
Word problems are little stories that have numbers in them. You read the story, figure out what is happening, and then use addition or subtraction to find the answer. This is something people need to do every single day — at the store, at home, and at school!
The Four Big Ideas
Word problems are little stories. Every story has something happening in it. There are four kinds of things that can happen in a math story. Let's learn about each one!
Adding To 🎁
Taking From 🍪
Putting Together 🧩
Taking Apart 🍎
See It With Pictures!
Pictures help us understand word problems. Let's look at how adding to and taking from look when we draw them. We will use circles to stand for objects — like apples, toys, or stickers!
In the top picture, we see adding to. The blue circles are what you start with. The green circles are what you get more of. Count them all together and you get 8!
In the bottom picture, we see taking from. You start with 9 circles. The ones with the big red X are taken away. Count what is left and you get 5!
How to Solve Word Problems
Here is a simple way to solve any word problem. Follow these three steps every time!
Let's look at the clue words that tell you what to do:
Here is what an addition number sentence looks like:
And here is what a subtraction number sentence looks like:
The Four Types of Word Problems
Let's look at each kind of word problem more closely. For each type, we will see a little story and a picture!
Each box shows one type of story. Notice how putting together uses addition — you combine two groups. And taking apart uses subtraction — you know the total and one part, so you subtract to find the other part.
| Type | What Happens | Do You Add or Subtract? |
|---|---|---|
| Adding To | You start with some. You get more. | Add (+) |
| Taking From | You start with some. Some go away. | Subtract (−) |
| Putting Together | Two groups join. How many in all? | Add (+) |
| Taking Apart | You know the total and one part. Find the other part. | Subtract (−) |
Let's Solve One Together!
Helpful Tips and Tricks
Here are some things that can help you solve word problems like a superstar!
| Tip | Why It Helps |
|---|---|
| Draw pictures | Drawing circles or tally marks helps you see the numbers. |
| Use your fingers | Your fingers are always with you! Great for counting on or counting back. |
| Look for clue words | Words like "in all," "left," and "more" tell you what to do. |
| Check your work | After you solve it, read the story again. Does your answer make sense? |
| Use a number line | Jump forward for addition. Jump backward for subtraction. |
One thing to watch out for: sometimes a problem says "how many more" and you might think you need to add. But "how many more" usually means you need to subtract to find the difference! Always think about what the story is really asking.
What Comes Next?
You are doing amazing! Right now, you are learning to add and subtract with numbers up to 20. But guess what? This is just the beginning! Here is what you will learn as you grow:
| What You Know Now | What You'll Learn Next |
|---|---|
| Add and subtract up to 20 | Add and subtract bigger numbers — up to 100 and beyond! |
| One-step word problems | Two-step word problems (you solve twice!) |
| Adding groups together | Multiplication — a faster way to add many same-size groups! |
| Taking apart groups | Division — splitting a big group into smaller equal groups! |
Everything you learn now about adding to, taking from, putting together, and taking apart will help you with all of these new skills. You are building a strong math brain! 🧠
Practice Time! 🌟
Now it's your turn! Try to solve each word problem. Think about what is happening in the story. Then click "Show Answer" to check your work.
What We Learned Today
Today you learned how to solve word problems using addition and subtraction with numbers up to 20. There are four kinds of word problems. Adding to means you start with some and get more. Taking from means you start with some and lose some. Putting together means you combine two groups to find the total. Taking apart means you know the total and need to find a missing part.
To solve any word problem, follow three steps: read the story, decide if you add or subtract, and write the number sentence and solve. Look for clue words like "in all," "left," "altogether," and "how many more." You can use pictures, fingers, or a number line to help you. You are building skills that will help you with math for the rest of your life. Keep up the great work! 🌟