Find The Distance Between Two Points (Real World Problems) Worksheet

8 problems

Finding the distance between two points refers to the calculation of the straight-line distance between two points in a given space, such as a coordinate plane or a three-dimensional space. This distance is also known as the "Euclidean distance" and is represented by a line segment connecting the two points.

Grade 6
Negative Numbers
6.NS.C.6.A

Teaching Find The Distance Between Two Points (Real World Problems) Easily

 

  1. Introduce the concept of distance and the distance formula: Explain the distance formula to the students, using the examples provided earlier in the answer. Show them how to use the formula to calculate the distance between two points in a two-dimensional coordinate plane.
  2. Practice with worksheets: Give students practice worksheets to solve using the distance formula. Start with simpler problems and gradually increase the difficulty level. 
  3. Provide feedback: Provide feedback on the students' work and help them understand where they made mistakes. Point out the key concepts and formulas they used to solve the problem and how they can apply them to other problems given in the worksheet.



 

Why Should You Use Find The Distance Between Two Points (Real World Problems) Worksheet for your students? 

 

Yours students will earn to use different formulas to find the distance between two pointsThe most common methods include:


 

  • Distance formula: The distance formula is a mathematical formula used to calculate the distance between two points in a two-dimensional coordinate plane. It is given by:

Distance = √((x2 - x1)^2 + (y2 - y1)^2), where (x1, y1) and (x2, y2) are the coordinates of the two points.


 

  • Pythagorean theorem: The Pythagorean theorem is used to calculate the distance between two points in a three-dimensional space. It states that in a right triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

Distance = √((x2 - x1)^2 + (y2 - y1)^2 + (z2 - z1)^2), where (x1, y1, z1) and (x2, y2, z2) are the coordinates of the two points.


 

  • Manhattan distance: The Manhattan distance is used to calculate the distance between two points in a grid-like structure, such as a city. It is calculated by summing the absolute differences of their coordinates along each dimension of the space. Distance = |x2 - x1| + |y2 - y1|

These are just some examples of distance calculation methods, depending on the problem, other methods and formulas can be used.

Download Find The Distance Between Two Points (Real World Problems) Worksheets PDF

 

You can download and print these super fun Basic word problems (using formula) worksheet  6th grade pdf from here for your students. You can also try our Find The Distance Between Two Points (Real World Problems) Problems and Find The Distance Between Two Points (Real World Problems) Quiz as well for a better understanding of the concepts.


 

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