Venn-Diagram

Introduction This lesson is designed to introduce students to the idea of a set with Venn-Diagram. In this Lesson, Students will experiment with sets in conjunction with the Venn Diagram. Objectives Upon completion of this lesson, students will: understand the notion of sets in Venn diagrams. learn the terminology used with sets and Venn diagrams. practice the placement of set notion in a Venn Diagram. Activities Open the link in order to demonstrate this activity to the students. Begin to explain the applet to the students by showing them the first example on the page. Ask the class if they know what the answer is. When a student has responded correctly, show the class that by clicking in the appropriate section of the diagram, the circles representing the sets. Show the students the location of the "Check Answer" button and check the students' answer together. Guided Practice Let students to try another example, letting the students direct your moves. Or, you may simply ask, "Can anyone describe the answer?"

Independent Practice

Allow the students to work on their own and to complete some homework.

How to make such Template

Design the sets A: x² + y² ≤ 9 B: (x - 3)² + y² ≤ 9 U: -5 ≤ x ≤ 8 ∧ -4 ≤ y ≤ 4 AUB: x² + y² ≤ 9 ∨ (x - 3)² + y² ≤ 9 Q:=Polygon((-5, 4), (8, 4), (8, -4), (-5, -4), (-5, 4)) Hide A,B,U, AUB Design the Regions c1: x² + y² = 9 c2: (x - 3)² + y² = 9 part1: x² + y² ≤ 9 ∧ (¬((x - 3)² + y² ≤ 9)) part2: (¬(x² + y² ≤ 9)) ∧ (x - 3)² + y² ≤ 9 part3: x² + y² ≤ 9 ∧ (x - 3)² + y² ≤ 9 part4: -5 ≤ x ≤ 8 ∧ -4 ≤ y ≤ 4 ∧ (¬(x² + y² ≤ 9 ∨ (x - 3)² + y² ≤ 9)) Design the logics IsRed1 = true IsRed2 = true IsRed3 = true IsRed4 = true RB1:=If(IsRed1, 0, 1) RB2:=If(IsRed2, 0, 1) RB3:=If(IsRed3, 0, 1) RB4:=If(IsRed4, 0, 1) R1:=If(IsRed1, 0.9, 1) R2:=If(IsRed2, 0.9, 1) R3:=If(IsRed3, 0.9, 1) R4:=If(IsRed4, 0.9, 1) Setup the Objective Properties part 1 Advance Dynamic Colors Red R1 Green RB1 Blue RB1 Opacity 0.75 Scripting On Click SetValue[IsRed1,¬IsRed1] part 2 Advance Dynamic Colors Red R2 Green RB2 Blue RB2 Opacity 0.75 Scripting On Click SetValue[IsRed2,¬IsRed2] part 3 Advance Dynamic Colors Red R3 Green RB3 Blue RB3 Opacity 0.75 Scripting On Click SetValue[IsRed3,¬IsRed3] part 4 Advance Dynamic Colors Red R4 Green RB4 Blue RB4 Opacity 0.75 Scripting On Click SetValue[IsRed4,¬IsRed4] Define the logics for score score:=IsRed1 + 2IsRed2 + 4IsRed3 + 8IsRed4 Define the problems problem = {{"A_0", 1}, {"B_0", 2}, {"A∩B", 4}, {"A∪B", 7}, {"A", 5}, {"B", 6}} Define item max:=Length(problem) item:=Slider(1, max, 1) Define the key key:=Element(problem, item, 2) Define a Button for New Question Text New Question Scripting On Click SetValue[item,RandomBetween[1,max]] Define two texts for output Congratulation Condition to Show Object score ≟ key Try Again Condition to Show Object score ≠ key Define the name plate Text A Text B Text U Text Shade the red color for the set Define Question text name Question Definition Element(problem, item, 1)