Small groups work through two guided activities to derive the distance and midpoint formulas for the coordinate plane. The activities begin with concrete examples and move to abstract.

Classmates apply midpoint concepts by leapfrogging around the complex plane. The 12th instructional activity in a 32 segment unit, asks pupils to apply distances and midpoints in relationship to two complex numbers. The class develops a...

In this college level mathematics worksheet, students solve use the Pythagorean Theorem to find the missing side of a right triangle and explore the connection between the Pythagorean Theorem and the distance formula....

In this college level coordinate geometry worksheet, students identify and graph points on a coordinate plane, find the missing side of a right triangle, determine the distance between two points, and find the midpoint of a line...

To work through the complexity of coordinate geometry pupils make the connection between the coordinate plane and the complex plane as they plot complex numbers in the 11th part of a series of 32. Making the connection between the two...

In this distance and midpoint formulas worksheet, 9th graders solve and complete 10 different problems. First, they find the distance between given coordinate and write their answer in simplest radical form. Then, students find the...

In Utah, one stretch of highway goes for 106 miles without a single gas station. Where should people build one? Scholars face the dilemma of where to place a new gas station between three cities. They consider distance and proximity to...

The shortest distance between two points is a straight line. Learners use the Pythagorean Theorem to develop a formula to find that distance. They then find the midpoint using an average formula. 

Have learners graph complex numbers to gain a visual and mathematical understanding of the distance and the midpoint between two complex numbers. This lesson is short, but to the point, and addresses an important complex number...

In this Euler's Theorem worksheet, 10th graders solve and complete 15 various types of problems. First, they find the distance and midpoint of a segment given its endpoints. Then, students identify the number of vertices, edges, and...

Middle and high schoolers solve and complete 29 various types of problems. First, they match each name with its correct formula. Then, students find the length of the missing side and the distance between the two points given. In...

In this line segment worksheet, 10th graders identify and solve 10 different problems that include determining the midpoint of a line segment in each. First, they determine the midpoint of a segment that connects two points. Then,...

In this linear function learning exercise, students write the equation of a line, identify the slope, distance and midpoints. This one-page learning exercise contains seven problems. Answers are provided at the bottom of the page.

In this vector worksheet, students find symmetric equations and the equation of a plane for given situations. They identify unit vectors and determine the distance between midpoints. This two-page worksheet contains 6 multi-step problems.

In this Geometry Chapter 13 review instructional activity, students complete 20 multiple choice questions and 1 bonus question regarding volume, dilation, and midpoint and distance between points of 3D objects.

For this perpendicular bisector worksheet, students fold paper, according to instructions, to discover the perpendicular bisector of a segment.  They explore the distances from the bisector to the endpoints of a specified...

In this geometry worksheet, students identify the length of the different sides using equations. They solve for the unknown to identify similarity and congruence in angles and sides. There are 22 questions.

In this parts of line worksheet, students solve and complete 12 various types of problems. First, they find the length of the indicated line segments. Then, students determine the lengths of the line segments listed.

In this algebra instructional activity, students plot points in order to find the slope, midpoint, or distance between two points. There are 16 questions.

In this geometry worksheet, 9th graders classify quadrilaterals by using coordinate geometry and the properties of various quadrilaterals. The seven page worksheet contains eleven questions. Answers are...

Individuals show what they know about the geometric representations of complex numbers and linearity. Seventeen questions challenge them to demonstrate their knowledge of moduli and operations with complex numbers. The assessment is...

In this three-dimensional activity, students identify the center and radius of given spheres. They simplify an equation for all points in three-dimensional space which are equidistant from a given point. This two-page activity contains...

In this formulas worksheet, students determine the distance between two points.  They read story problems, identify needed information, write equations and solve them.  Students find the midpoint of a line.  This two-page...

In this triangulation worksheet, learners solve and complete 11 steps of an experiment to determine the distance to a far away object using triangulation and trigonometry. First, they select a far away object and create a baseline far...