Review the key concepts, formulae, and examples before starting your quiz.
šConcepts
Sorting Data: Organizing objects or numbers into groups based on specific properties or 'criteria'.
Venn Diagrams: Using overlapping circles to show how items are the same or different. The overlapping middle section is for items that fit into both groups.
Carroll Diagrams: A table used to sort data based on two sets of opposite criteria (e.g., 'Is a Square' vs 'Is Not a Square').
Intersection: The area in a Venn diagram where circles overlap, representing data that meets two conditions at once.
Universal Set: All the items being considered for sorting, including those that might not fit inside the circles/table categories.
šFormulae
(Items meeting both criteria)
š”Examples
Problem 1:
Sort the following numbers into a Venn Diagram with two circles: 'Even Numbers' and 'Multiples of 5'. Numbers: .
Solution:
Circle 1 (Even Numbers): . Middle Overlap (Both): . Circle 2 (Multiples of 5): .
Explanation:
goes in the middle because it is both an even number and a multiple of . and are only even. and are only multiples of .
Problem 2:
Create a Carroll Diagram to sort these shapes: 'Blue Square', 'Red Square', 'Blue Triangle', 'Yellow Circle'. Use criteria 'Is Blue' and 'Is a Square'.
Solution:
Row 1 (Is Blue): Blue Square, Blue Triangle. Row 2 (Is Not Blue): Red Square, Yellow Circle. Column 1 (Is a Square): Blue Square, Red Square. Column 2 (Is Not a Square): Blue Triangle, Yellow Circle.
Explanation:
A Carroll diagram uses a grid. The 'Blue Square' fits in the cell where 'Is Blue' meets 'Is a Square'. The 'Yellow Circle' fits where 'Is Not Blue' meets 'Is Not a Square'.
Problem 3:
Where does the number go in a Venn diagram labeled 'Multiples of 2' and 'Multiples of 4'?
Solution:
The number stays outside both circles.
Explanation:
Since is an odd number, it is not a multiple of or . Therefore, it cannot be placed inside either circle and must be written in the space around the circles.