Solving Problems With Number Lines | Math | 1st Grade

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In today’s lesson, we explored the concept of “counting on” using a number line to solve missing number problems. By starting at a given number and counting up to the target number, we learned how to determine the missing value in equations, such as finding how many more days Mary will stay at camp or how many points Mike needs in his video game. With practice, students can become proficient in using number lines to solve similar math problems.
  1. What is counting on, and how can it help us find missing numbers?
  2. How did we use the number line to solve Mary’s summer camp problem?
  3. Can you think of another problem where we can use counting on with a number line?

Welcome to Fun Math Adventures!

Hello friends! Today, we’re going to have some fun with numbers. We’re going to learn how to solve missing number problems using a cool trick called “counting on” with a number line. Are you ready? Let’s get started!

What is Counting On?

Counting on is a way to find out what number is missing in a math problem. For example, if we have the problem: 7 plus blank equals 10, we can use a number line to help us. Let’s see how it works!

Using a Number Line

First, we draw a number line from 1 to 10. We start at 7 and count up to 10. Let’s count together: 7, 8, 9, and 10. How many jumps did we make? That’s right, three jumps! So, the missing number is 3. Now we know that 7 plus 3 equals 10. Great job!

Let’s Solve Some Problems!

Problem 1: Mary’s Summer Camp

Mary is on a 14-day trip to summer camp. She has been there for 8 days. How many more days will she stay? Let’s use our number line to find out. We start at 8 and count up to 14: 8, 9, 10, 11, 12, 13, and 14. How many jumps did we make? Let’s count: 1, 2, 3, 4, 5, 6. So, Mary will stay for 6 more days. That means 8 plus 6 equals 14. Well done!

Problem 2: Mike’s Video Game

Mike is playing a video game. He has 13 points and needs 20 points to reach the next level. How many more points does he need? Let’s use our number line again. We start at 13 and count up to 20: 13, 14, 15, 16, 17, 18, 19, and 20. How many jumps did we make? Let’s count: 1, 2, 3, 4, 5, 6, 7. So, Mike needs 7 more points. That means 13 plus 7 equals 20. Awesome!

Make Your Own Number Line

If you don’t have a number line, you can make one yourself! Just start at the first number and count up to the answer. The numbers you count are the missing part of your math problem.

Thanks for learning with us today! Keep practicing, and you’ll become a number line expert in no time. See you next time for more fun math adventures!

  • Can you think of a time when you had to figure out how many more of something you needed, like toys or snacks? How did you find out the answer?
  • Imagine you are on a treasure hunt, and you need to find out how many more steps you need to reach the treasure. How would you use a number line to help you?
  • Have you ever helped someone solve a problem using counting or numbers? What was the problem, and how did you help them figure it out?
  1. Create Your Own Number Line: Grab a piece of paper and a ruler. Draw a straight line and mark it with numbers from 1 to 20. Use this number line to solve the following problem: If you have 5 candies and want to have 12 candies, how many more do you need? Start at 5 and count up to 12 using your number line. How many jumps did you make? Write down your answer and share it with a friend or family member.

  2. Number Line Hopscotch: Create a number line hopscotch on the ground using chalk or tape. Number the squares from 1 to 20. Ask a friend or family member to give you a starting number and an ending number. Hop from the starting number to the ending number, counting your hops out loud. How many hops did you make? Try different starting and ending numbers to practice more!

  3. Counting On in Real Life: Next time you are at the grocery store, look at the prices of two items you want to buy. Use “counting on” to find out how much more money you need if you only have enough for one item. For example, if one item costs $3 and the other costs $5, start at 3 and count up to 5 using your fingers. How many more dollars do you need? Share your findings with someone shopping with you.

Sure! Here’s a sanitized version of the transcript:

Welcome to Kids Academy! Hello everyone! Let’s open the worksheet. Don’t forget to like this video and subscribe to our channel. You can find the link to this app in the comments below.

Today, we’re going to be looking at some missing number word problems. We need to read the word problems carefully and use the strategy of counting on with a number line to help us solve these problems.

What do I mean by counting on? Let’s say we are trying to solve the problem: 7 plus blank equals 10. How do we know what goes in the blank? We can use a number line!

Let’s set up our number line from 1 to 10. If we start at 7, how many numbers do we need to count on to get to 10? Let’s count together: 7, 8, 9, and 10. How many jumps is that? That’s one, two, three. So it took us three jumps, or adding three to seven, to get to ten. Therefore, the missing number is three, and that makes a good number sentence: 7 plus 3 equals 10.

Let’s use this counting on strategy to help us solve these word problems.

**Problem 1:** Mary went on a 14-day trip to a summer camp. She has been at the summer camp for eight days. How many more days is Mary going to stay at the summer camp?

In this problem, we know Mary has been at the summer camp for eight days, and she has a total of 14 days. Let’s use our number line to count on and figure out how many days are left in Mary’s trip. We’ll count from 8 up to 14: 8, 9, 10, 11, 12, 13, and 14.

Now let’s count how many jumps that took us: 1, 2, 3, 4, 5, 6. So the answer for the missing number is 6. We can add eight plus six and see that the correct answer is fourteen.

**Problem 2:** Mike is playing a video game. He has 13 points and needs a total of 20 points to get to the next level. How many more points does Mike need?

Again, we have the number sentence: 13 points plus an unknown number of points to get to 20 points. We can use our number line and count on starting at 13 all the way to 20.

Let’s count from 13 to 20: 13, 14, 15, 16, 17, 18, 19, and 20. How many jumps are there between 13 and 20? Let’s count them: 1, 2, 3, 4, 5, 6, and 7. If we input 7 into our equation and add 13 plus 7, we would get 20. So that’s a good number sentence!

Remember, even if you don’t have a number line made, you can create one! Start at the first number and count to the answer. The numbers it takes to get to the last number are the missing part in your equation.

Thanks for watching! We’ll see you next time. Subscribe to our channel to stay updated on new videos, and find links to our apps in the comments below.

This version removes any informal language and ensures clarity while maintaining the educational content.

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