☰ Year plan · Mathematics

Venn diagrams, Carroll diagrams and pictograms

Week 30 · Unit 14 · 14.1 · 4 lessons
2

Two boxes: Carroll diagrams

Learner’s Book 1: Unit 14, pp. 205–209
GoalSort things into the two columns of a Carroll diagram.
New words
Carroll diagram · a table with two boxes for sortingcolumn · a box that goes up and downnot · the opposite of the rule
Explanation

A Carroll diagram is another way to sort things. It is a table with two columns. The label on the left column is the rule, for example ‘has a handle’. The label on the right column says ‘no handle’, which is everything that does not match. Every thing goes in one column only, never in both. When you have finished, count each column to see which has more.

Has a handleNo handle
                
                
                
Worked examples
Has a handleNo handle
cupball
bagplate
jugapple
Sort cup, ball, bag, plate, jug and apple. A cup, a bag and a jug have handles. A ball, a plate and an apple do not.
Bigger than 99 or less
123
158
105
Sort numbers with the rule ‘bigger than 9’. 12, 15 and 10 are bigger than 9. 3, 8 and 5 are 9 or less.
Has cornersNo corners
squarecircle
triangleoval
Sort shapes with the rule ‘has corners’. A square and a triangle have corners. A circle and an oval have none.
Class activity

Sock and shoe sorting: draw a big Carroll diagram on paper with the rule ‘has laces’. Sort 8 things from the shoe rack or the toy box. Count each column. Then change the rule and sort again.

Practice
1
Sort into the diagram: hen, stone, fish, chair, tree, ball. Which are alive?
AliveNot alive
                
                
                
2
How many things have wings?
Has wingsNo wings
birddog
beefish
bat        
plane        
3
Where does the number 14 go?
Bigger than 99 or less
                
                
4
Ali puts a sock in the ‘has a handle’ column. Is he right?