Correct Answer: Field Visit and its Preparations
Field Visit Definition:
A field visit refers to a planned trip made by students or researchers to a specific location outside the classroom, aiming to directly observe, study, and collect data related to the ge- ographical, social, cultural, or environmental aspects of that area. This hands-on experience helps to enhance theoretical knowledge by providing real-world insights and context. Field vis- its are valuable in understanding how concepts learned in theory are applied in practice. They allow students to engage directly with the environment, making learning more interactive and practical.
Outcomes: Improves observation, measurement, interviewing, mapping, and ethical research practices.
Extra prep: Pre-mark GPS points, download offline maps, set a debrief schedule to consolidate data on the same day.
\[ \textbf{Field visits are practical learning experiences that require careful preparation.} \]
Complete the following activity to prove that the sum of squares of diagonals of a rhombus is equal to the sum of the squares of the sides.
Given: PQRS is a rhombus. Diagonals PR and SQ intersect each other at point T.
To prove: PS\(^2\) + SR\(^2\) + QR\(^2\) + PQ\(^2\) = PR\(^2\) + QS\(^2\)
Activity: Diagonals of a rhombus bisect each other.
In \(\triangle\)PQS, PT is the median and in \(\triangle\)QRS, RT is the median.
\(\therefore\) by Apollonius theorem,
\[\begin{aligned} PQ^2 + PS^2 &= \boxed{\phantom{X}} + 2QT^2 \quad \dots \text{(I)} \\ QR^2 + SR^2 &= \boxed{\phantom{X}} + 2QT^2 \quad \dots \text{(II)} \\ \text{Adding (I) and (II),} \quad PQ^2 + PS^2 + QR^2 + SR^2 &= 2(PT^2 + \boxed{\phantom{X}}) + 4QT^2 \\ &= 2(PT^2 + \boxed{\phantom{X}}) + 4QT^2 \quad (\text{RT = PT}) \\ &= 4PT^2 + 4QT^2 \\ &= (\boxed{\phantom{X}})^2 + (2QT)^2 \\ \therefore \quad PQ^2 + PS^2 + QR^2 + SR^2 &= PR^2 + \boxed{\phantom{X}} \\ \end{aligned}\]