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- Ryan L., Special Education Teacher
- Cincinnati, OH
Distance Formula Teacher Resources
Find Distance Formula educational ideas and activities
Middle and high schoolers explore the distance formula. In this geometry instructional activity, learners determine the length of a segment with the distance formula and the Pythagorean Theorem. They explore the relationship between the two methods of determining segment length.
Eleventh graders explore ellipses. In this Algebra II lesson, 11th graders construct an ellipse using the Ti-nspire handheld and investigate the sum of the distance from a point on an ellipse to its foci. Students use that information to derive the general equation for an ellipse centered at the origin.
Study the properties of the diagonals of quadrilaterals in this quadrilaterals activity. Find the distance, midpoint, and slope of line segments when given two points. Learners determine the slope of a line given the coordinate plane with two points labeled and finddistance using the distance formula. They also draw and construct representations of two- and three-dimensional geometric objects.
In this heliopause activity, students read about the balance between the solar wind pressure and the interstellar medium pressure and the relationship between these two pressures. They are given an inquiry problem and enter the bow shock distance formula and find a range of distances to the heliopause.
Students identify positive and negative angles using the Unit Circle. In this pre-calculus lesson, students identify the different angles on a unit circle using the coordinate plane and the four different quadrants as a guide. They calculate the basic trigonometric functions.
Young scholars determine how the Pythagorean Theorem and the distance formula are related. In this rational expressions lesson, students apply radicals to solve real world problems. Young scholars take a long piece of string to create a triangle and identify the important parts of the triangle. Students also draw a map of how to get from their home to school.
Students prove conjectures about geometric figures on the plane or in space using coordinate geometry. They develop fluency in operations with real numbers, vectors and matrices using mental computation or paper-and-pencil calculations for simple cases and technology for more-complicated cases. Pupils determine the level of accuracy needed for computations involving measurement and irrational numbers.
In this pi worksheet, students evaluate the curve of a quarter of a circle. They analyze the length of the curve, and explain that if the area under the curve is equal to pi, the length of the curve above is also equal to pi. Students convert a sum written in summation notation into a Riemann sum. Students compare two strategies for computing estimates of arc length.