Problem Analysis:
The worksheet involves distributing cookies among children whenever the doorbell rings, and it requires drawing a picture to represent the distribution and writing a number sentence that matches the scenario. Let's solve each part step by step.
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Part 1: Mom made some cookies for Sam and Victoria
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Scenario: Mom makes cookies for Sam and Victoria.
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Number of children: 2 (Sam and Victoria).
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Assumption: Let’s assume Mom made 6 cookies (a reasonable number for simplicity).
#### Solution:
1.
Distribution:
- Since there are 2 children and 6 cookies, each child gets an equal share.
- Each child gets \( \frac{6}{2} = 3 \) cookies.
2.
Drawing:
- Draw 6 cookies in total.
- Divide them into 2 groups, with 3 cookies in each group (one for Sam and one for Victoria).
3.
Number Sentence:
- The number sentence is: \( 6 \div 2 = 3 \).
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Part 2: The doorbell rang! Tom and Hannah came in
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Scenario: Tom and Hannah arrive, increasing the total number of children to 4 (Sam, Victoria, Tom, and Hannah).
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Number of children: 4.
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Assumption: We still have the original 6 cookies (no new cookies were made).
#### Solution:
1.
Distribution:
- Now there are 4 children sharing the same 6 cookies.
- Each child gets \( \frac{6}{4} = 1.5 \) cookies.
2.
Drawing:
- Draw 6 cookies in total.
- Divide them into 4 groups, with each group having 1.5 cookies. You can represent this by splitting some cookies into halves.
3.
Number Sentence:
- The number sentence is: \( 6 \div 4 = 1.5 \).
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Part 3: The doorbell rang! Peter and his little brother came in
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Scenario: Peter and his little brother arrive, increasing the total number of children to 6 (Sam, Victoria, Tom, Hannah, Peter, and his little brother).
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Number of children: 6.
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Assumption: We still have the original 6 cookies (no new cookies were made).
#### Solution:
1.
Distribution:
- Now there are 6 children sharing the same 6 cookies.
- Each child gets \( \frac{6}{6} = 1 \) cookie.
2.
Drawing:
- Draw 6 cookies in total.
- Divide them into 6 groups, with each group having 1 cookie.
3.
Number Sentence:
- The number sentence is: \( 6 \div 6 = 1 \).
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Final Answer:
1.
For Sam and Victoria:
- Drawing: 6 cookies divided into 2 groups of 3.
- Number Sentence: \( 6 \div 2 = 3 \).
2.
For Sam, Victoria, Tom, and Hannah:
- Drawing: 6 cookies divided into 4 groups of 1.5.
- Number Sentence: \( 6 \div 4 = 1.5 \).
3.
For all 6 children:
- Drawing: 6 cookies divided into 6 groups of 1.
- Number Sentence: \( 6 \div 6 = 1 \).
\[
\boxed{
\begin{aligned}
&\text{Part 1: } 6 \div 2 = 3 \\
&\text{Part 2: } 6 \div 4 = 1.5 \\
&\text{Part 3: } 6 \div 6 = 1
\end{aligned}
}
\]
Parent Tip: Review the logic above to help your child master the concept of the doorbell rang worksheet.
