I will solve the problem step-by-step by analyzing the pictograph and answering each question.
Step 1: Understand the Pictograph
First, I need to understand what the chart is showing. It's a pictograph that tracks the number of houses built in a new town from January 2009 to March 2010. The key at the bottom tells us that one house symbol represents 20 houses.
Step 2: Answer Question 1
Question 1: How many houses does this symbol represent?
This is directly answered by the key provided in the image. The key shows one house symbol with the text " = 20 houses".
Answer to Question 1: 20 houses
Step 3: Answer Question 2
Question 2: In what month did they build more than 100 houses?
To answer this, I need to calculate the number of houses built for each month by counting the symbols and multiplying by 20.
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January 2009: 4 symbols = 4 * 20 = 80 houses
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April 2009: 5 symbols = 5 * 20 = 100 houses
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August 2009: 6 symbols = 6 * 20 = 120 houses
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December 2009: 7 symbols = 7 * 20 = 140 houses
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March 2010: 3 symbols = 3 * 20 = 60 houses
The question asks for months where *more than* 100 houses were built. Looking at the calculations, August 2009 (120 houses) and December 2009 (140 houses) are the only months that meet this criterion.
Answer to Question 2: August 2009 and December 2009
Step 4: Answer Question 3
Question 3: How many houses were built from January 2009 to August 2009?
This requires summing the houses built in January, April, and August 2009.
- January 2009: 80 houses
- April 2009: 100 houses
- August 2009: 120 houses
Total = 80 + 100 + 120 = 300 houses.
Answer to Question 3: 300 houses
Step 5: Answer Question 4
Question 4: How many more houses need to be built in April 2009 to be equal to those in December 2009?
We already calculated the number of houses for these months:
- April 2009: 100 houses
- December 2009: 140 houses
The difference is 140 - 100 = 40 houses.
Answer to Question 4: 40 houses
Step 6: Answer Question 5
Question 5: The town needs to build 200 houses in March. Draw the symbols in the chart needed to equal 200 houses.
Since one symbol represents 20 houses, we need to find out how many symbols are needed for 200 houses.
Number of symbols = Total houses needed / Houses per symbol = 200 / 20 = 10 symbols.
Therefore, to represent 200 houses in March, you would need to draw 10 house symbols in the row for March 2010.
Answer to Question 5: You need to draw 10 house symbols.
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Final Answers
1. 20 houses
2. August 2009 and December 2009
3. 300 houses
4. 40 houses
5. Draw 10 house symbols.
Parent Tip: Review the logic above to help your child master the concept of pictograph worksheet grade 3.