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Unit 1 Math Prep: Multi-Digit Word Problems

Anything
Grade 4
English

Unit 1 Math Prep: Multi-Digit Word Problems

Strategy Focus: Multi-Digit Additive Comparison

In this lesson, we will practice solving word problems that involve comparing multi-digit numbers. We will use tape diagrams to visualize the relationship between numbers and write equations to find the solutions.


1. I DO: Teacher Modeling (Addition Comparison)

Problem: In the city of Austin, there were 5,612 runners in a charity 5K race. In Dallas, there were 1,845 more runners in the same race. How many runners were there in Dallas? Write an equation for the problem, and then solve it. Show your work.
Teacher Model: Using a Tape Diagram
Tape Diagram for Addition Comparison: Austin (5,612) and Dallas (5,612 + 1,845)
Tape Diagram for Addition Comparison: Austin (5,612) and Dallas (5,612 + 1,845)

Equation:

Work Area: :::{textAlign=center}

:::
Final Answer: There were 7,457 runners in Dallas.


2. WE DO: Guided Practice (Subtraction Comparison)

Problem: A local animal shelter currently has 3,892 cats. The shelter has 1,245 fewer dogs than cats. How many dogs are at the shelter? Write an equation for the problem, and then solve it. Show your work.
Collaborative Steps:
  1. Identify the larger number: __________________________
  1. Identify the smaller number (compared to cats): __________________________
  1. Choose the operation: [ ] Addition [ ] Subtraction
Equation: ______________________________________
Show Your Work:
\rule{0pt}{8em} \
Final Answer: There are ____________________ dogs at the shelter.


3. YOU DO: Independent Practice (Multi-Step Comparison)

Problem: The local history museum tracks its weekend visitors. On Saturday, there were 7,431 visitors. On Sunday, there were 2,109 fewer visitors than there were on Saturday.
Part A How many people attended the museum on Sunday? Write an equation and show your work.
Equation: ______________________________________
Work Area:
\rule{0pt}{8em} \
Part B How many people attended the museum over the entire weekend (both Saturday and Sunday combined)? Write an equation and show your work.
Equation: ______________________________________
Work Area:
\rule{0pt}{8em} \
Explain how you got your answer for Part B: