STEAM-Based Lesson Plan

Topic: Experimental Verification in Geometry

Grade: VIII                                                                           Estimated Time: 60 minutes

Introduction

In particular, this plan is based on a right-angled triangle. The sides of a right-angled triangle are termed Perpendicular, Base, and Hypotenuse, where the hypotenuse is the side opposite to 90° and is the longest. The remaining two sides of the right triangle are known as the legs of the triangle. In the right-angled triangle, the square of the hypotenuse is equal to the sum of squares of the other two sides i.e. if a, b, c denotes lengths of sides of a right-angled triangle with the size of hypotenuse c units then there exist Pythagorean relation a² + b² = c², where a, b, c are said to form a Pythagorean triplet. This mentioned relation will be established through the practical involvement of the students in this plan.

Objectives of the Project/ Learning Outcomes

This plan is intended to promote learning through the collaboration, interaction, and participation of the students with the expectation of developing concepts and visualization in STEAM under experimental verification in Geometry. After completion of the topic through this plan, students are expected to:

1. To understand and clarify the concept of experimental verification
2. To utilize the geometrical instruments for construction in geometry
3. To conceptualize the experimental verification through the use of geometrical material
4. To develop ideas for other similar experiments in geometry
5. To visualize and give importance to the Pythagorean theorem in real life

Materials: Pen, Pencil, Scale, Chart Paper, Scissors, Geometry box, measurement tapes, hoes.

Activity-1: All students of grade VIII will be taken on the playground of the School

Step-I: They will be divided into different groups.

Step II: Each group will be guided to design right-angled triangles by hoe (kodalo).

Step III: They will be empowered to measure the lengths of the sides of such triangles and note such measurements.

Step IV: They will be guided to find the sum of the squares of two small sides and the square of the longest side.

Step V: They will be guided to conclude.

Activitiy-2:  Students will be taken back to the classroom and they will be informed to sit as usual days.

Step – 1: Each student will be guided to construct a right-angled triangle (eg: 3 cm, 4 cm, 5 cm) using a compass, pencil, and scale as shown below:

In the above figure, a is the base, b is the perpendicular and c is the hypotenuse

Step – 2: Students will be guided to construct three squares on the respective sides as shown below:

Step 3: Students will be guided to take the chart paper and cut it into squares of size 1cm ×1cm.

Step:4

Area of x = 3² = 9

Area of y = 4² = 16

Area of z = 5² = 25

Step 5: Students are guided to verify Pythagoras Theorem

i.e. 3² + 4² = 5²

Or, 9+16=25

Or, a² + b² = c²

 Hence, the Pythagoras theorem is verified i.e. a² + b² = c²

STEAM Area Covered

1. Science: Students are involved in observation through experiments. The scientific method is applied in any experiment as even small experiments have a fragrance of science
2. Technology: The pictorial relationship between the sides of a right-angled triangle and the square formed from it can be displayed through the help of a projector for additional concepts to verify the Pythagorean theorem.
3. Engineering: Students are involved in the design of squares through chart paper, scissors, hoe
4. Arts: Students are involved in drawing various figures with the given measurements
5. Mathematics: Students clarify mathematical concepts as they are involved in measuring lengths of sides of right-angled triangles, to calculate areas and sum of areas, etc.

Assessment

1. Take a piece of bread at your home cut it diagonally into two parts and find the area of each part. What conclusion will you get?
2. Let’s apply the Pythagorean Theorem in finding the unknown side of a right triangle with a length of hypotenuse c units and the other two sides are a = 6 cm and b = 8 cm.