Grade 3: Two-Step Word Problems: Simplified Solutions

Understanding Two-Step Word Problems ➕➖

Two-step word problems require performing two mathematical operations to find the solution. These problems help develop critical thinking and problem-solving skills. Let's break down how to approach them with clear examples.

Step-by-Step Approach 🪜

1. Read and Understand: Read the problem carefully to understand what it's asking.
2. Identify the Steps: Determine the two operations needed to solve the problem.
3. Solve Step One: Perform the first operation.
4. Solve Step Two: Use the result from step one to perform the second operation.
5. Check Your Answer: Make sure your answer makes sense in the context of the problem.

Example 1: Addition and Multiplication 📝

Problem: Sarah has 3 bags of apples. Each bag contains 4 red apples and 2 green apples. How many apples does Sarah have in total?

1. Step One: Find the total number of apples in one bag.

red_apples = 4
green_apples = 2
total_in_one_bag = red_apples + green_apples
print(total_in_one_bag) # Output: 6

2. Step Two: Multiply the number of apples in one bag by the number of bags.

number_of_bags = 3
total_apples = total_in_one_bag * number_of_bags
print(total_apples) # Output: 18

Answer: Sarah has a total of 18 apples. 🍎🍏

Example 2: Subtraction and Division ➗

Problem: Tom had 25 stickers. He gave 7 stickers to his friend and then divided the remaining stickers equally among his 3 siblings. How many stickers did each sibling get?

1. Step One: Find the number of stickers Tom had left after giving some to his friend.

initial_stickers = 25
given_away = 7
remaining_stickers = initial_stickers - given_away
print(remaining_stickers) # Output: 18

2. Step Two: Divide the remaining stickers among his 3 siblings.

number_of_siblings = 3
stickers_per_sibling = remaining_stickers / number_of_siblings
print(stickers_per_sibling) # Output: 6.0

Answer: Each sibling got 6 stickers. 🎁

Example 3: Multiplication and Addition ➕

Problem: A store sells pencils for $2 each and erasers for $1 each. Lisa buys 4 pencils and 3 erasers. How much does she spend in total?

1. Step One: Calculate the cost of the pencils.

pencil_price = 2
number_of_pencils = 4
pencil_cost = pencil_price * number_of_pencils
print(pencil_cost) # Output: 8

2. Step Two: Calculate the cost of the erasers and then add it to the cost of the pencils.

eraser_price = 1
number_of_erasers = 3
eraser_cost = eraser_price * number_of_erasers
total_cost = pencil_cost + eraser_cost
print(total_cost) # Output: 11

Answer: Lisa spends $11 in total. ✏️

Tips for Success 🏆

• Draw Pictures: Visual aids can help understand the problem better.
• Use Manipulatives: Objects like counters can make the problem more concrete.
• Practice Regularly: Consistent practice builds confidence and skill.

Conclusion 🎉

Solving two-step word problems can be made easier by breaking them down into manageable steps. With consistent practice and a clear understanding of the steps involved, third graders can master these problems and build a strong foundation in mathematics.