This document outlines a Grade 7 mathematics lesson focused on solving real-world problems using Venn diagrams. It includes a case study involving a survey of students participating in different sports, along with questions and answers to illustrate the use of set theory concepts such as intersection and union. The lesson also encourages reflection on understanding and barriers to progress in learning the material.

1. SOLVING PROBLEMS USING
VENN DIAGRAMS
LESSON 1
MATHEMATICS GRADE 7

4. •Use what we have learned about
representing sets inVenn diagrams to
help us find solutions to real-world
problems.
•EmployVenn diagrams in finding
solutions to such problems.
INTENTION/LESSON GOAL

5. LANGUAGE PRACTICE
Key words/terms are:
intersection
number of elements
Set
subset
union
Venn diagram

6. WORD PROBLEM
Angelo‘s teacher asks her 30 students about their
sports after school.They say that they can play one or
more of the sports basketball, football, and volleyball.
Two students say that they play none of the sports.
The teacher also finds out that:
1)14 play football
2)Angelo and 2 others play all 3 sports
3)15 play volleyball, 4 play football and volleyball and 7
play volleyball and basketball only.

8. Questions
•1. Show on the diagram the given information that 3
students play all 3 sports.
Answer :
3

9. •2. Using this information and item 3, find how
many students play volleyball only?
•Answer: 1 student
•3. If 2 students play football only, how many
students play basketball and football only?
•Answer: 5 students
•4. How many students play basketball only?
•Answer: 6 students
Questions

10. •How many students play one sport only?
•Answer: 9 students
•3. If Angelo decides to no longer play basketball, how
many students then do not play exactly one or two of
the sports?
•Answer: 4 students
•4. How many students then play exactly two of
the sports?
•Answer: 17 students
Questions

11. •Would you rate your level of understanding of
the material covered in this lesson as high,
moderate, or low?
Reflection/Metacognition

12. •What would you describe as the main
barriers, if any, to your ongoing progress and
achievement in relation to the topic area
addressed in this lesson?
•What do you think would best assist your
ongoing progress and achievement in
relation to the topic area?
Reflection/Metacognition

13. Good luck for the
next topic !