Scaled Graphs

Grade 3 ยท statistics ยท 92 practice problems ยท read aloud

๐Ÿ”Š Listen to this explanation

๐Ÿ“Š Scaled Graphs: A Third Grade Guide

What is a Scaled Graph?

A scaled graph uses pictures or bars where each picture can stand for more than one item. Instead of counting by ones, we count by twos, fives, or tens! This is useful because it helps us show big numbers in a small, easy-to-read space.

How to Read a Scaled Graph

  1. Find the Key: Look for a box that tells you what each picture or bar section stands for. It might say "1 symbol = 2 books."
  2. Count the Symbols: Count how many symbols are in each row.
  3. Multiply: Multiply the number of symbols by the scale number from the key.
  4. Find the Total: The number you get is the total for that category!

Visual Examples

Example 1: Favorite Fruit

Key: 1 apple symbol = 2 votes

๐ŸŽ ๐ŸŽ ๐ŸŽ (3 symbols)

Step 1: 3 symbols
Step 2: Scale is 2 votes per symbol
Step 3: 3 x 2 = 6
Answer: 6 people voted for apples.

Example 2: Books Read

Key: 1 book symbol = 5 books

๐Ÿ“˜ ๐Ÿ“˜ ๐Ÿ“˜ ๐Ÿ“˜ (4 symbols)

Step 1: 4 symbols
Step 2: Scale is 5 books per symbol
Step 3: 4 x 5 = 20
Answer: 20 books were read.

Common Mistakes to Avoid โš ๏ธ

Forgetting the Scale: The biggest mistake is just counting the symbols and forgetting to multiply. Always check the key first!

Mixing up the Scale: If the scale is 2, you count 2, 4, 6, 8... not 1, 2, 3, 4.

Tips & Tricks

Look for the Clue: The first thing you should do is find the key or legend. Circle it!

Skip-Counting Helper: Use skip-counting to help you multiply. If the scale is 5, count: 5, 10, 15, 20...

Draw it Out: If you get stuck, draw little dots inside the symbols to help you count.

How to Practice

  • Create your own graph about your toys, using a scale of 2 or 5.
  • Look for scaled graphs in magazines or online. Practice reading them with a friend.
  • Ask your teacher for worksheets that have scaled picture graphs and bar graphs.

Practice problems

6 of the 92, worked through step by step โ€” try them before opening the answer.

1 72 รท 8 ร— 15 = ?

Hint: Remember to perform the operations in the correct order. Division and multiplication should be done from left to right.

Show the answer

Answer: 135

  1. Start with the division: 72 รท 8 = 9
  2. Take the result from step 1 and multiply by 15: 9 ร— 15 = 135
  3. The final answer is 135.

2 72 รท 8 ร— 12 = ?

Hint: Remember to perform the operations in the correct order from left to right. Think about what the division step gives you before multiplying.

Show the answer

Answer: 108

  1. First, perform the division: 72 รท 8 = 9.
  2. Now, take the result from step 1 and multiply it by 12: 9 ร— 12 = 108. The final answer is 108.

3 (75 รท 5) ร— 8 = ?

Hint: Remember to perform the operation inside the parentheses first before multiplying.

Show the answer

Answer: 120

  1. First, solve the division inside the parentheses: 75 รท 5 = 15
  2. Now multiply the result by 8: 15 ร— 8 = 120

The answer is 120.

4 (48 รท 6) ร— 15 = ?

Hint: Remember to solve what's inside the parentheses first before doing the multiplication.

Show the answer

Answer: 120

  1. First, solve the division inside the parentheses: 48 รท 6 = 8
  2. Now multiply the result by 15: 8 ร— 15
  3. Calculate 8 ร— 15 = 120

The answer is 120.

5 (72 รท 8) ร— 15 = ?

Hint: Remember to perform the operation inside the parentheses first before multiplying.

Show the answer

Answer: 135

  1. First, solve the division inside the parentheses: 72 รท 8 = 9
  2. Now multiply the result by 15: 9 ร— 15
  3. Calculate 9 ร— 15 = 135

The answer is 135.

6 (64 รท 8) ร— 25 = ?

Hint: Remember to perform the operation inside the parentheses first before multiplying.

Show the answer

Answer: 200

  1. First, solve the division inside the parentheses: 64 รท 8 = 8
  2. Now multiply the result by 25: 8 ร— 25 = 200

The answer is 200.

Practise this topic โ€” 10 free problems, no signup โ†’