The image depicts a fun, educational game called "Pirate Treasure Subtraction with Base Ten Blocks." The goal of the game is to practice subtraction skills using base ten blocks and a board game format. Below is an explanation of how to solve the problem and play the game:
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Game Overview
1.
Objective: Players move along the board by solving subtraction problems and using base ten blocks to visualize the solutions.
2.
Components:
- A game board with spaces containing subtraction problems.
- Base ten blocks (flats, rods, and units) for visualizing and solving the problems.
- A record sheet to track progress.
- Dice or spinners to determine movement.
3.
Rules:
- Players start at the "Start" space.
- Roll the dice or use a spinner to move forward.
- Land on a space with a subtraction problem.
- Solve the problem using base ten blocks.
- Record the answer on the provided record sheet.
- Continue moving and solving problems until reaching the "End" space.
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How to Solve the Problem
Let’s break down how to solve one of the subtraction problems using base ten blocks. For example, consider the problem
1,000 - 165 from the record sheet.
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Step 1: Represent 1,000 with Base Ten Blocks
- Use
1 flat block to represent 1,000 (since each flat represents 1,000).
- You will need no rods or units because there are no hundreds, tens, or ones in 1,000.
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Step 2: Subtract 165
-
165 consists of:
- 1 hundred (1 rod)
- 6 tens (6 rods)
- 5 ones (5 units)
To subtract 165 from 1,000:
1. Start with 1 flat block (representing 1,000).
2. Since you cannot directly remove 165 from 1 flat block, you need to exchange the flat block into smaller units:
- Exchange the flat block (1,000) into
10 rods (each rod represents 100).
- Now you have 10 rods representing 1,000.
3. From these 10 rods, remove 1 rod (representing 100) and 6 rods (representing 600), leaving you with
3 rods (representing 300).
4. Next, you need to remove 5 units. Since you don’t have any units yet, exchange one of the remaining rods (100) into
10 units.
- Now you have 2 rods (200) and 10 units.
5. Remove 5 units from the 10 units, leaving you with
5 units.
6. Combine the remaining blocks:
- 2 rods (200)
- 5 units (5)
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Step 3: Write the Answer
- The remaining blocks represent
835 (200 + 30 + 5).
So,
1,000 - 165 = 835.
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Using the Game Board
1. When you land on a space with a subtraction problem, solve it using base ten blocks as demonstrated above.
2. Record the answer on the provided record sheet.
3. Move forward according to the rules of the game.
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Example from the Image
The record sheet shows the first problem solved:
-
Problem: 1,000 - 165
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Answer: 835
This matches our solution above.
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Final Answer
The solution to the problem
1,000 - 165 using base ten blocks is:
\[
\boxed{835}
\]
Parent Tip: Review the logic above to help your child master the concept of interactive 3 digit subtraction.
