Presenting the Project
2 out of 3
Have a look at all the information Class 5 have collected about themselves. Can you find out whose birthday it is today?
Problem
There are thirty children in Class 5. All the first part of the summer term they had been doing a project collecting data about themselves and making all sorts of lists, charts and graphs to present it.
Now it is June and they are going to present all they have done in the project to the whole school. There is double excitement in the classroom that day because it is also one of the children's birthdays.
Here is some of the work they have done:
On what day did Class 5 present their work?
What information can you find out about the child whose birthday it was on project day?
Getting Started
What days of the week will the presentation day not be on?
It might be helpful to make lists of all the information you can. For example, is the pupil a boy or a girl?
Perhaps you can find out his or her initials and then the name?
What colour hair does she or he have?
Student Solutions
We had some very clear solutions from pupils at Tunbury Primary School and Burlish Middle School. Thank you! Hannah, Alice, Katy, Caitlin, James, Morgan and Jonat from Tunbury said:
We discovered that the class presented their project on Wednesday 21st June. We found this out by looking at the birthday, birth date and calendar charts. We found 3 birthdays in June on the 10th, 21st and 25th. It couldn't be the 10th or the 25th as the calendar shows these are on Saturday and Sunday.
Then we looked at the birth dates chart and saw that there were 18 dates on one side and 12 on the other side. We looked at the first chart, there were 12 girls and 18 boys so the person was a girl. The only girl's name with initials that matched the 3rd chart was Megan H. She was born in 1997 and was 8 years old when we did the investigation. Her height is between 130 and 145 cm and she is the youngest girl in her class.
The two twins are George Fand Fred F. We found this out by looking at the birthday dates and seeing who had the same birthdays. Their birthday is April 17th 1997. Then we looked at at the other birthday chart and looked on the 4th month and looked to who had the same 2nd name. After that we looked at the name chart and saw that the initials were F.F. and G.F. so they are Fred and George. The boys are 9 years old and are smaller than 130cm.
Laura, Molly and Amy from Burlish found out a little more information about the twins. They wrote:
To find the twins we looked on the Birthday list and spotted in the boys' column that two children had a birthday on the 17th April. We then looked at the date chart for April and saw that two children shared the same last initial. This told us that the twins were George F and Fred F. They have brown hair (we interpreted the colours this way because black, brown and blonde are the most common hair colours, although some people in our class thought it could be blonde, red and black). They are both shorter than 130cm which is lower than the average height for their class. They were 9 years old.
Teachers' Resources
Using NRICH Tasks Richly describes ways in which teachers and learners can work with NRICH tasks in the classroom.
Why do this problem?
Possible approach
Key questions
Possible extension
Learners could collect similar data from the class and make their own charts, graphs etc.
Possible support
Suggest doing The Pet Graph instead which has much less information.