This problem assumes that students understand how to read bar graphs and tally charts.
The problem challenges students to think logically about a familiar situation represented by data, and to draw reasonable conclusions. Students are encouraged to use everyday language to respond to mathematical ideas.
Tony wants to become a better speller so he keeps a record of the time he spends learning his words each night. He also asks his mum to test him each day and he writes the number of words he gets correct.
Look closely at Tony's data.
What do they tell you about Tony’s homework patterns?
Write the advice you would give him so he gets all words correct.
- Discuss with your students their own homework 'spelling habits'.
- Together read the problem. Invite students to comment on Tony's data.
- As appropriate for your students, have them now independently solve the problem, or,
you may further check understanding using questions such as:
Look at the bar chart. What days did Tony do the most homework?
Why do you think he did more homework on Thursday nights?
Why do you think he didn’t do homework on Monday nights or in the weekend?
Look at the tally chart. What information is recorded on it?
How well did Tony do on Friday’s spelling tests?
Why do you think he did better on Fridays than on Tuesdays?
Did doing more homework in the second week make any difference to Tony’s test marks?
What advice could you give Tony about doing homework?
- The aim of this discussion time is to get the students to be familiar with the charts and to become fluent in how to read them. They should be able to predict that the more homework he does the more words he gets correct.
- Have the students decide how much homework they think Tony should do each night to get all his words correct on Friday. They may want to show this on another bar chart.
- Have students write their advice for Tony.
Extension to the Problem
Have students keep a record of their own homework patterns.
Have students continue the charts showing Tony’s improvement after following their advice.
Other Contexts for the Problem
Any other type of homework: e.g. multiplication tables.
Time spent reading books and the number of books read.
Time spent practicing music and number of songs able to play.
Tony's spelling improves with practice.
Each night he does homework he got more words correct.
Students' advice for Tony might include:
- Don't leave your homework till Thursday nights. It doesn’t give you enough time to learn all the words.
- I think you should do about 5 minutes spelling homework every night.
- If you did just a bit of spelling at the weekend too, it would help you to be a better speller.