Cover lesson · Mathematics and Numeracy · Year 4 · Intermediate

Sorting a school birdwatch into a table and bar chart

DCF: Data and computational thinking → Data and information literacy

Also assessed, LNF: Numeracy → Statistics and probability → Representing data

Name: Class: Date:

Cover teacher: you need no subject knowledge

What this practises: handling data on paper. Pupils tally a birdwatch log, enter the totals in a pretend spreadsheet, sort it, draw a bar chart with a scale in 2s, answer questions, sort the birds with two rules in a Carroll diagram (like a database search) and decide whether a claim is supported by the data.

Print: this sheet, one per pupil, and the stimulus sheet “Ysgol y Wern birdwatch log”, one between two. No computers are needed. Pupils need a ruler and coloured pencils for the bar chart.

Run: 5 min read the stimulus sheet aloud · 10 min Step 1 · 8 min Step 2 · 12 min Step 3 · 6 min Step 4 · 7 min Step 5 · 7 min Step 6. Total 55 minutes.

Collect: this sheet. Steps 1, 3 and 5 (the tally chart, the bar chart and the Carroll diagram) give the numeracy evidence. Quick checks: the totals add up to 48; starling 13 (most), house sparrow 10, blue tit 8, blackbird 6, woodpigeon 5, robin 4, magpie 2 (least).

What you are doing

Year 4 at Ysgol y Wern watched birds for 1 hour. They made a card for every bird they saw. The cards are a muddle of names. Your job is to turn them into a table, a spreadsheet and a bar chart that answer questions quickly.

Step 1: tally the log

Go along each row of cards on the stimulus sheet, from card 1 to card 48. For each card, draw 1 tally mark next to that bird. The 5th mark crosses the first 4, like a gate.

BirdTallyTotal
Blackbird
Blue tit
House sparrow
Magpie
Robin
Starling
Woodpigeon
All the totals added together

Check: the log has 6 rows of 8 cards. How many cards is that? ______ Does it match your total? If not, tally again.

Step 2: a pretend spreadsheet

A spreadsheet is a grid. Columns have letters. Rows have numbers. Each box is a cell, named by its column and row, like B3.

(a) Copy your totals into column B. Put the total of all the birds in cell B9.

AB
1BirdNumber seen
2Blackbird
3Blue tit
4House sparrow
5Magpie
6Robin
7Starling
8Woodpigeon
9Total

(b) Which cell holds the number of robins? ________   What number is in cell B4? ________

(c) Spreadsheets can sort data. Sort it yourself: write the birds again, from the most seen to the least seen.

AB
1BirdNumber seen
2
3
4
5
6
7
8

(d) In your sorted sheet, what is in cell A2? ________   What is in cell B8? ________

Step 3: draw a bar chart

  1. Use your sorted sheet. Draw the bars in the same order, most to least.
  2. Write each bird’s name on a line under the bottom axis.
  3. The side axis goes up in 2s. An odd number, like 7, is halfway between 6 and 8.
  4. Use a ruler. Make every bar the same width. Colour them in.
  5. Write a title in the top box. Write a label for each axis in the dashed boxes.
Blank bar chart grid with the side axis numbered in 2s from 0 to 16 Title Label Label 0 2 4 6 8 10 12 14 16

Step 4: answer questions

Use your table or your bar chart.

QuestionAnswer
(a) Which bird was seen the most?
(b) Which bird was seen the least?
(c) Which bird was seen exactly 8 times?
(d) How many more starlings than robins were seen?
(e) How many more house sparrows than blackbirds were seen?
(f) How many birds were seen altogether?

Step 5: sort with two rules

A bird database can find birds using two questions at once. A Carroll diagram does the same job on paper. Use your totals and the bird fact cards on the stimulus sheet. Write each of the 7 birds in the right box.

Shorter than 20 cmNot shorter than 20 cm
Seen more than 6 times
Not seen more than 6 times

Careful: is 6 “more than 6”?

A database search asks: seen more than 6 times and shorter than 20 cm. Which birds does it find?

Step 6: which is best, and is it true?

(a) You now have 4 ways of showing the same birds: the log, the spreadsheet, the bar chart and the Carroll diagram. Which one is best for each question?

QuestionBest way
Which bird was seen first?
Exactly how many blue tits were seen?
Which bird was seen most, at a quick glance?
Which small birds were seen more than 6 times?

(b) Cards 18 to 24 were one flock of starlings. Without that flock, how many starlings were seen? ______ Which bird would then be seen the most? ____________

(c) Gethin says: “Our birdwatch proves that starlings are the most common bird in Wales.” Do you agree? Give 2 reasons.

(d) How could you collect better data to test Gethin’s idea?

Step by step

  1. 5 min Read the stimulus sheet with your teacher.
  2. 10 min Step 1: tally all 48 cards and check your total.
  3. 8 min Step 2: fill in the spreadsheet, then sort it from most to least.
  4. 12 min Step 3: draw the bar chart with a ruler.
  5. 6 min Step 4: answer the questions.
  6. 7 min Step 5: the Carroll diagram.
  7. 7 min Step 6: which is best, and is Gethin right?

Success criteria

If you finish early