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NLC Math 7 L1.pptx

1) The document is a lesson plan for a mathematics class about sets, Venn diagrams, unions, intersections, and subsets. It includes short reviews, example problems, and activities to reinforce the concepts. 2) Students are divided into teams to complete tasks using meta strips before presenting to the class. Example problems involve finding unions and intersections of sets. 3) An activity surveys students about their sports participation, which is modeled with a Venn diagram to find subsets of students playing each sport alone or in combinations.

Education◦
National Learning Camp MATHEMATICS 7 LESSON 1 July 26, 2023
Short Review ACTIVITY: SHOW ME! a. Divide the class into three teams. b. Each team will pick a meta strip numbered 1 - 3. c. Each meta strip has a corresponding task that each team should do within 3 minutes. d. When the time is done, each present their output to the class.
Question 1
Question 2 2. If 𝐶 = {0, 1, 2} and 𝐷 = {2, 4, 6}, write down the sets 𝐶 𝖴 𝐷 and 𝐶 ∩ 𝐷.
Question 3
Answer to Question 1
Answer to Question 2 2. 𝐶 𝖴 𝐷 = {0, 1, 2, 4, 6}; 𝐶 ∩ 𝐷 = {2}
Answer to Question 3
Lesson Purpose/Intention We can use what we have learned about representing sets in Venn diagrams to help us find solutions to real-world problems. Today we will employ Venn diagrams in finding solutions to such problems.
Activity: “A RECALL-ection” (5 minutes) The teacher will give the following riddles to the learners. Each team who have the most correct answer wins.
No. 1 I have no traffic lights, yet cars go to and from, Where roads meet, I'm the place to go. At this bustling crossroads, you'll find me there, A junction of paths, where people share. What am I? INTERSECTION
No. 2 I am a mystery you cannot see, Count me correctly, I hold the key. In a set or a list, I'm what you seek, The total count of elements you must speak. What am I? Number of Elements
No. 3 "I am a group, a collection too, Elements together, just like glue. Arrange me right, and you will get, A group of objects called a ___. What am I?" SET
No. 4 I'm a part of the whole, But I'm smaller, you see. In a set, I'm found, Yet I'm not the entirety. What am I? SUBSET
No. 5 I bring together what's been apart, Combining elements with a start. Shared members, both near and far, Creating a bigger group by far. What am I? UNION
No. 6 I'm a puzzle of overlapping rings, Where common ground will show its wings. Two sets unite, their borders blend, In shapes and colors that never end. What am I? VENN DIAGRAM
Key Term Intersection – the set containing all elements of A that also belong in B
Key Term Subset – Set A is said to be a subset of Set B if all the element of Set A are also present in Set B
Key Term Number of elements – the cardinality of a set or the number of elements in a set
Key Term Union – the union of two given sets is the set that contains all the elements present in both sets
Key Term Set – a collection of distinct, well- defined objects forming a group
Key Term Venn Diagram – is a widely used diagram style that shows the logical relation between sets, popularized by John Venn
LESSON ACTIVITY (25 minutes) 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 only, and 7 play volleyball and basketball only.
Questions 1.(i) Show on the diagram the given information that 3 students play all 3 sports. (ii)Using this information and item 3 of Part 4A, 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.
Answer to no. 1 (ii) 1 student
If 2 students play football only, find how many play basketball and football only. Answer: 5 students
Find how many students play basketball only. Answer: 6 Students
Question item 2 1. How many students play one sport only? 2. Angelo decides to no longer play basketball. How many students then do not play exactly one or two of the three sports? 3. How many students then play exactly two of the three sports? 9 4 17
Activity: Ready – Set – Go! Direction: Complete the phrase below. Assess yourself based on how you understand the lesson. statement I am now ready to ………. I am setting myself to …….. I can now go and answer …….
Question to Ponder o What do you think were the key mathematical concepts addressed in this lesson?
Question to Ponder o Would you rate your level of understanding of the material covered in this lesson as high, moderate, or low?
Question to Ponder o Has the lesson helped you gain further insight into aspects of the material covered that represent strengths or represent weaknesses?
Question to Ponder o 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?
Question to Ponder o What do you think would best assist your ongoing progress and achievement in relation to the topic area?