Inductive & Deductive Reasoning

Inductive

&

Deductive

Reasoning

Activity 1: Complete Me!

Directions: Draw a conclusion from each given situation.

Fill in the Blank

Complementary angles are two angles whose sum is 90°. ∠A and ∠B are

complementary. Therefore, ______________.

Fill in the Blank

In the sequence 3, 6, 9, 12, … . The next number is __________.

Fill in the Blank

All rectangles have congruent diagonals. Square is a rectangle. Therefore, _______________

Fill in the Blank

2, 4, 6, 8,... The sum of the first 5 even numbers is ___________.

Fill in the Blank

A pentagon is a polygon with five sides. Polygon ABCDE is a regular pentagon. Therefore ________________.

Activity 2: Let’s Do this!

Directions: Identify the type of reasoning used in each of the following situations. 

Multiple Choice

Today, Sam notices that the city alarm sounds at 9:00 P.M. The next day of the same time, she notices that the city alarm sound again. She remembers that the city alarm did sound at the same time the other day. She then concludes that the city alarm sounds every 9:00 P.M.

• inductive reasoning

• deductive reasoning

Multiple Choice

No foreigner can be elected senator in our country. Peter is a foreigner. Therefore, Peter cannot be elected senator in our country.

• inductive reasoning

• deductive reasoning

Multiple Choice

Grade 11 students at Javier NHS conducted an experiment on tomatoes by applying Ferrous Sulfate. After three weeks, they observed the number of tomatoes produced increased. They concluded that the used of Ferrous Sulfate as organic fertilizer can increase the production of tomatoes.

• inductive reasoning

• deductive reasoning

Multiple Choice

A student who gets a perfect score in mathematics 8 will be given extra credits. Ann got a perfect score in mathematics 8. Thus, Ann will be given extra credit.

• inductive reasoning

• deductive reasoning

Multiple Choice

All the residents of Barangay Guinhalinan are exempted from taxes. The parents of Melanie reside in Barangay Guinhalinan. Therefore, Melanie’s parents are exempted from taxes.

• inductive reasoning

• deductive reasoning