Geometry represents a branch of mathematics that revolves around objects’ shapes, angles, spatial relationships, and characteristics of surrounding space. One of the primary content goals in geometry is analyzing the properties of three and two-dimensional geometric shapes and developing mathematical arguments connected to geometric relationships (Borsuk, 2018). This objective is significant because learners interact with different shapes in their daily life. It would be irrational to ignore the properties of items used by individuals to fulfill various duties. For example, learners often interact with rectangular and triangular shapes; thus, it is vital to understand how to measure, calculate, and estimate length, width, and angles. Significantly, the knowledge of spatial relationships is also helpful in enhancing problem-solving and creative thinking skills. Therefore, this goal enables students to link mapping, or geometrical objects learned in class to the real-world contexts relating to place and direction.
Task-based learning helps students complete consistently structured activities designed to meet learning goals set by the instructor. The learning activities strengthen curriculum standards by involving learners in meaningful tasks that foster their understanding. For instance, the use of shadow represents an excellent example of an activity that can help learners solve trigonometric functions in geometry. According to Borsuk (2018), trigonometry involves the application of specific functions associated with angles to perform calculations, including estimating the lengths of objects. When the sun shines on items such as trees, the shadow size depends on the angle of the rays. Consequently, students can measure the length of the shadow and estimate the angle of depression or elevation to determine the height of objects. I would use this activity in my future classroom because it enables learners to create visual representations and understand vital concepts, including applying tangent, cosine, and sine rules in trigonometric calculations.
Reference
Borsuk, K. (2018). Foundations of geometry. Courier Dover Publications.