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Learning goals:
At the end of this lesson, students will be able to calculate the distance between two points in the xy plane using the distance formula, comprehend the geometric interpretation of the formula, and apply this knowledge to solve real-world problems.
Resources:
https://docs.google.com/presentation/d/1DYlZShwlluACq94dOGVbyv8nliwDHwcsyd49cFC_x3s/edit#slide=id.g1eb87249f96_0_8
Learning activities:
- Understanding Cartesian Coordinates:
- Define and understand the Cartesian coordinate system.
- Identify and locate points in the xy plane using ordered pairs (x, y).
- Introduction to Distance Formula:
- Introduce the distance formula,
- Break down the components of the formula and explain the significance of each term.
- Geometric Interpretation:
- Illustrate the geometric interpretation of the distance formula through visual aids and examples.
- Emphasize the connection between the formula and the Pythagorean Theorem in a right-angled triangle.
- Solving Distance Problems:
- Practice calculating distances between points using the distance formula.
- Provide real-world scenarios and problems where students can apply the formula to find distances between locations.