Grade 7_Quarter 2- Set Theory and Set of Real Numbers
1. Lesson 1. Determining Sets and their Subsets
1. Activity 1.1 Introduction to Sets
2. Activity 1.2 Sets and Subsets
3. Activity 1.3a Determine Elements of the Set [without score]
4. Activity 1.3b Determine Elements of the Set [with score]
5. Activity 1.4 Determining Subsets of a Set
6. Activity 1.5 Identifying the Set That Both Given Subsets Belong To
2. Lesson 2. Determining the Union of Sets, and the Intersection of Sets
1. Activity 2.1 Union and Intersection of Sets
3. Lesson 3. Determining the Difference of Sets
1. Activity 3.1 Set Difference and Complement of Sets
2. Activity 3.2 Determining the Difference of Sets
4. Lesson 4. Representing Sets and their Relationships using Venn diagrams
1. Activity 4.1 Sets and Venn Diagram
2. Activity 4.2 Shaded Region in Sets and Venn Diagram
5. Lesson 5. Identifying Cardinality of Given Sets Using Venn diagram
1. Activity 5.1 Cardinality of Sets
2. Activity 5.2 Cardinality of Sets - Evaluation
3. Activity 5.3 Cardinality of Sets - Evaluation - Blank
4. Activity 5.4 Cardinality of Sets and Shaded Region of Venn Diagram
6. Lesson 6: Determining the Belongingness of Numbers to Subsets of Real Numbers
1. Activity 6.1 Subsets of Real Numbers: Set of Natural Numbers, Set of Whole Numbers, Integers and Rational Numbers
2. Activity 6.2 Number Line_ Irrational Numbers and Real Numbers
3. Activity 6.3 Subsets of Real Numbers: Set of Irrational Numbers and Real Numbers
4. Activity 6.4 Subsets of Real Numbers _ Shaded Region
5. Activity 6.5 Subsets of Real Numbers _ Random Shaded Region
6. Activity 6.6 Subsets of Real Numbers - Venn Diagram and Number Line

0

Grade 7_Quarter 2- Set Theory and Set of Real Numbers

UPNISMED HSM, Jan 3, 2025

Lesson 1. Determining Sets and their Subsets
1. Activity 1.1 Introduction to Sets
2. Activity 1.2 Sets and Subsets
3. Activity 1.3a Determine Elements of the Set [without score]
4. Activity 1.3b Determine Elements of the Set [with score]
5. Activity 1.4 Determining Subsets of a Set
6. Activity 1.5 Identifying the Set That Both Given Subsets Belong To
Lesson 2. Determining the Union of Sets, and the Intersection of Sets
1. Activity 2.1 Union and Intersection of Sets
Lesson 3. Determining the Difference of Sets
1. Activity 3.1 Set Difference and Complement of Sets
2. Activity 3.2 Determining the Difference of Sets
Lesson 4. Representing Sets and their Relationships using Venn diagrams
1. Activity 4.1 Sets and Venn Diagram
2. Activity 4.2 Shaded Region in Sets and Venn Diagram
Lesson 5. Identifying Cardinality of Given Sets Using Venn diagram
1. Activity 5.1 Cardinality of Sets
2. Activity 5.2 Cardinality of Sets - Evaluation
3. Activity 5.3 Cardinality of Sets - Evaluation - Blank
4. Activity 5.4 Cardinality of Sets and Shaded Region of Venn Diagram
Lesson 6: Determining the Belongingness of Numbers to Subsets of Real Numbers
1. Activity 6.1 Subsets of Real Numbers: Set of Natural Numbers, Set of Whole Numbers, Integers and Rational Numbers
2. Activity 6.2 Number Line_ Irrational Numbers and Real Numbers
3. Activity 6.3 Subsets of Real Numbers: Set of Irrational Numbers and Real Numbers
4. Activity 6.4 Subsets of Real Numbers _ Shaded Region
5. Activity 6.5 Subsets of Real Numbers _ Random Shaded Region
6. Activity 6.6 Subsets of Real Numbers - Venn Diagram and Number Line

Lesson 1. Determining Sets and their Subsets

1. Activity 1.1 Introduction to Sets
2. Activity 1.2 Sets and Subsets
3. Activity 1.3a Determine Elements of the Set [without score]
4. Activity 1.3b Determine Elements of the Set [with score]
5. Activity 1.4 Determining Subsets of a Set
6. Activity 1.5 Identifying the Set That Both Given Subsets Belong To

Activity 1.1 Introduction to Sets

Group the objects shown in the applet. You can create up to five groups. Write the criteria or rule you used for each on a piece of paper. Then, exchange papers with your partner and have them assign the objects to each group using the rule you wrote by dragging the objects.

1.2.

1.3.

1.4.

1.5.

1.6.

2.

Lesson 2. Determining the Union of Sets, and the Intersection of Sets

1. Activity 2.1 Union and Intersection of Sets

2.1.

Activity 2.1 Union and Intersection of Sets

Sets A, B and C belong to one universal set, set U. The following sets are defined as:[br][br]A={1,2,3,4,5,6,7,8,9,10}. [br]B= even numbers from 2 to 30[br]C= multiples of 3 greater than 0 but less than or equal to 30[br][br]Using the GeoGebra applet, check if a certain number is an element of sets D,E,H, and I. Then, define these sets and their relationship with sets A, B and C

3.

Lesson 3. Determining the Difference of Sets

1. Activity 3.1 Set Difference and Complement of Sets
2. Activity 3.2 Determining the Difference of Sets

3.1.

Activity 3.1 Set Difference and Complement of Sets

Sets A, B and C belong to one universal set, set U. The following sets are defined as:[br][br]U= {1,2,3,4,5,6,7,8,9,10,2,3,5,6,7,8}[br]A= {2,3,5,6,7,8}[br]B= {1,3,5,7,9}[br]C= {3,5,7}[br][br]Using the GeoGebra applet, check if a certain number is an element of sets D,E,F, and G. Then, define these sets and their relationship with sets U, A, B and C.[br]

3.2.

4.

Lesson 4. Representing Sets and their Relationships using Venn diagrams

1. Activity 4.1 Sets and Venn Diagram
2. Activity 4.2 Shaded Region in Sets and Venn Diagram

4.1.

Activity 4.1 Sets and Venn Diagram

Using the GeoGebra applet, shade the area in each Venn diagram to represent the given sets for each case. Click the region or area of the Venn diagram that you want to shade.

4.2.

5.

Lesson 5. Identifying Cardinality of Given Sets Using Venn diagram

1. Activity 5.1 Cardinality of Sets
2. Activity 5.2 Cardinality of Sets - Evaluation
3. Activity 5.3 Cardinality of Sets - Evaluation - Blank
4. Activity 5.4 Cardinality of Sets and Shaded Region of Venn Diagram

5.1.

Activity 5.1 Cardinality of Sets

The Grade 7 PE coordinator surveyed her students to determine their preferences for after-school activities. The teacher provided four options: basketball, swimming, table tennis, and Philippine games.[br][br]Let [br]U= set of all the Grade 7 students surveyed[br]B= set of students who wanted basketball as their after school activity[br]S= set of students who wanted swimming as their after school activity[br]T= set of students who wanted table tennis as their after school activity[br]P= set of students who wanted Philippine games as their after school activity[br][br]Using the Venn diagram below, which shows the relationships of the set as well as the cardinality of each region of the Venn diagram, identify a unique set that will have the following cardinalities. (e.g. set of students who chose basketball but not swimming)[br]

[size=150]n( ______ ) = 20[/size]

[size=150]n( ______ ) = 78[/size]

[size=150]n( ______ ) = 118[/size]

[size=150]n( ______ ) = 100[/size]

[size=150]n( ______ ) = 138[/size]

5.2.

5.3.

5.4.

6.

Lesson 6: Determining the Belongingness of Numbers to Subsets of Real Numbers

1. Activity 6.1 Subsets of Real Numbers: Set of Natural Numbers, Set of Whole Numbers, Integers and Rational Numbers
2. Activity 6.2 Number Line_ Irrational Numbers and Real Numbers
3. Activity 6.3 Subsets of Real Numbers: Set of Irrational Numbers and Real Numbers
4. Activity 6.4 Subsets of Real Numbers _ Shaded Region
5. Activity 6.5 Subsets of Real Numbers _ Random Shaded Region
6. Activity 6.6 Subsets of Real Numbers - Venn Diagram and Number Line

6.1.

Activity 6.1 Subsets of Real Numbers: Set of Natural Numbers, Set of Whole Numbers, Integers and Rational Numbers

Generate five random numbers using the GeoGebra applet. Identify if the number is an element of the sets beside the check box. Click the checkbox beside the set if the number belongs to that set. After answering each number, fill out the worksheet, check your score and record it. [br][br]Let the set of rational numbers be the universal set. [br]

0