Solved line plot problems with explanations Grade 4

📚 Understanding Line Plots

A line plot is a simple way to organize data along a number line. Each 'x' above a number shows how many times that number appears in the data set. They help us quickly see which values occur most often.

🍎 Objectives

• 📊 Reading Line Plots: Learn to read and interpret data presented on a line plot.
• ➕ Solving Problems: Use line plots to answer questions involving addition, subtraction, and comparison of data.
• 📝 Creating Line Plots: Practice creating your own line plots from given data sets.

✏️ Materials

• 🧮 Pencil
• কাগজ Paper
• 📏 Ruler (optional, but helpful)

🤸 Warm-up (5 minutes)

Question: What is your favorite fruit? Ask 5 friends and write down their answers.

• 🍎 Example Answers: Apple, Banana, Apple, Orange, Apple
• 📊 Mini-Challenge: Can you think of a way to show this information visually? (Hint: Think about the fruit names and how many times each one was mentioned.)

👨‍🏫 Main Instruction

Problem 1: Ms. Lee asked her students how many pets they have. Here's the data:

We can represent this data on a line plot like this:

x x x x
0

x x x x x x
1

x x x x x
2

x x x
3

x x
4

• 🔍 Step 1: Draw a number line that includes all the numbers in your data set (0 to 4 in this case).
• ➕ Step 2: For each student, place an 'x' above the number of pets they have. If 4 students have 0 pets, put 4 'x's above the number 0.

Question: How many students have exactly 2 pets?

Answer: Look above the number 2 on the line plot. There are 5 'x's, so 5 students have 2 pets.

Problem 2: John recorded the number of books he read each month for six months: 2, 3, 3, 4, 4, 4.

x
2

x x
3

x x x
4

Question: What is the most common number of books John read in a month?

Answer: The number 4 has the most 'x's above it (3 'x's), so 4 books is the most common.

📝 Practice Quiz

Instructions: Solve the following problems using line plots.

Problem 1: Here are the scores on a spelling test: 7, 8, 8, 9, 9, 9, 9, 10.

• ❓ Create a line plot of the data.
• ➕ How many students scored a 9?

Problem 2: Sarah counted the number of birds she saw in her backyard each day for a week: 1, 1, 2, 2, 2, 3, 4.

• ❓ Create a line plot of the data.
• 🐦 What is the least number of birds Sarah saw on a day?

Problem 3: The ages of children at a playground are: 4, 5, 5, 5, 6, 6, 7.

• ❓ Create a line plot of the data.
• 👧 How many children are 5 years old?

Problem 4: Tom recorded the number of hours he spent playing video games each day for five days: 1, 2, 2, 3, 3.

• ❓ Create a line plot of the data.
• 🎮 What is the total number of hours Tom spent playing video games?

Problem 5: Anna measured the heights of her plants in inches: 2, 3, 3, 3, 4.

• ❓ Create a line plot of the data.
• 🌱 How many plants are 3 inches tall?

Problem 6: The number of siblings each student in a class has is: 0, 1, 1, 1, 2.

• ❓ Create a line plot of the data.
• 👩‍👩‍👧‍👦 How many students have 1 sibling?

Problem 7: Lisa counted the number of butterflies she saw in her garden each day: 1, 2, 2, 2, 3.

• ❓ Create a line plot of the data.
• 🦋 How many butterflies did Lisa see the most often?

🏆 Assessment

• ✅ Observation: Observe students as they create and interpret line plots.
• 📝 Worksheet: Collect and review the completed practice quiz to assess understanding.