Day 1- Lesson 1 Solving Problems using Venn Diagram

A lesson for National Learning Camp

1. Solving Problems using Venn Diagrams Mathematics 7 Lesson 1 Enhancement Camp

2. Lesson Component 1 (Lesson Short Review) Time: 7 minutes Questions 1. In the Venn diagram, shade the set: ( i ) (ii) 2. If and , write down the sets and .   3. In the Venn diagram, shade the set .   Key Idea: Solve problems using Venn diagrams.

3. Answers: 1. ( i ) (ii) 3. 2. ;    

4. Lesson Component 2 (Lesson Purpose/Intention) Time: 3 minutes Goal: Find solutions to real-world problems.

5. Lesson Component 3 (Lesson Language Practice) Time: 5 minutes Let’s do this! Fill in the blanks. A __________________uses multiple overlapping shapes (usually circles) in representing sets of various elements. It aims to provide a graphical visualization of elements, highlighting the similarities and differences between them. Venn diagram

6. 2. The ___________ of two sets is defined as the set of all the elements which lie in both sets. It is denoted by the symbol '∪'. .   union

7. 3. The middle of a Venn diagram where two or more sets overlap is known as the _____________. This is written using the symbol “∩”. is read as A intersection B.   intersection

8. 4. The ___________ are composed of data that are being compared and contrasted within the Venn diagram.  sets

9. 5. Each set has ___________. elements

10. 6. Set A is a ________ of Set B if every element of  A  is also an element of  B . It is a set that is contained within another set.   subset A⊂B

11. . Lesson Component 4 (Lesson Activity) Part 4A (5 minutes) Stem for Items 1 and 2   F B F V 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 that: 1. 14 play football. 2. Angelo and 2 others play all 3 sports. 3. 15 play volleyball, 4 play football and volleyball only, and 7 play volleyball and basketball only.

12. . Part 4B Item 1 Questions ( i ) Show on the diagram the given information that 3 students play all 3 sports. (ii) Using this information and 3) above, find how many students play volleyball only. 2. If 2 students play football only, find how many play basketball and football only. 3. Find how many students play basketball only.

13. . Answers to Item 1 3   F B F V ( i ) Show on the diagram the given information that 3 students play all 3 sports.

14. . Answers to Item 1 1. (ii) Using this information and 3) above, find how many students play volleyball only. If 2 students play football only, find how many play basketball and football only.   F B F V 3 5 6 7 2 4 1 Find how many students play basketball only. 1 student 5 students 6 students

15. . Part 4C Item 2 Questions How many students play one sport only? Angelo decides to no longer play basketball. How many students then do not play exactly one or two of the three sports? How many students then play exactly two of the three sports? 9 students 4 students   F B F V 2 5 6 7 2 5 1 17 students

16. . Lesson Component 5 (Lesson Conclusion – Reflection/Metacognition on Student Goals) Time: 5 minutes What do you think were the key mathematical concepts addressed in this lesson? Would you rate your level of understanding of the material covered in this lesson as high, moderate, or low? Has the lesson helped you to gain further insight into aspects of the material covered that represent strengths or represent weaknesses? 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?