Virginia Department of Education
Distance and Midpoint Formulas
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.
Curated OER
The Distance and Midpoint Formula
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. Students also...
Curated OER
Points, Regions, Distance and Midpoints
In this college level coordinate geometry learning exercise, 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...
Radford University
Distance and Midpoint Formulas in a Mall
Go for a walk in the mall. Pupils find distances between stores on a diagram of a mall on Quadrant I. The scholars also determine the midpoint between a store and an entrance to the mall to then create their own paths and determine their...
Curated OER
Distance and Midpoint Formulas
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...
EngageNY
Distance and Complex Numbers 2
Classmates apply midpoint concepts by leapfrogging around the complex plane. The 12th lesson in a 32 segment unit, asks pupils to apply distances and midpoints in relationship to two complex numbers. The class develops a formula to find...
Google
Midpoint and Distance Foldable
Support young mathematicians with learning the concepts of midpoint and distance with this foldable resource. Offering both graphic examples and written equations, this reference clearly demonstrates for students how these key terms...
Willow Tree
Midpoint and Distance Formulas
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.
Radford University
The Roanoke Adventure!
Travel about town. Pupils work in pairs to find the distances between landmarks with a map. The teams determine how far to travel on the streets and the length between the landmarks with the distance formula and compare the two. Learners...
Curated OER
Informal Geometry
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...
CK-12 Foundation
Midpoint and Segment Bisectors: Midpoint Map
Discover how to find a midpoint with a conceptual exploration. Scholars manipulate a point to determine the location of a midpoint on a straight line distance between two locations. Later questions extend to determine the location of...
Curated OER
Finding the Distance and Midpoint of a Line Segment
Learners use the Pythagorean formula to find the length of a line. Afterward, they explore the midpoint formula to determine the midpoint of a line with a non-zero slope on a coordinate plane. Students complete assigned problems and...
EngageNY
Distance and Complex Numbers 1
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...
Curated OER
Euler's Theorem
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...
Curated OER
Midpoint Formula in the Coordinate System
Students calculate the midpoint of a line. In this geometry lesson, students identify the different parts of the coordinate plane. They use the midpoint formula to find the middle of segments between a pair of coordinates.
Curated OER
Transformations in the Coordinate Plane
Your learners connect the new concepts of transformations in the coordinate plane to their previous knowledge using the solid vocabulary development in this unit. Like a foreign language, mathematics has its own set of vocabulary terms...
Curated OER
Quadrilateral Explorations-Grade Nine
Ninth graders investigate quadrilaterals. In this geometry lesson, 9th graders examine and classify quadrilaterals using the slope, midpoint and distance formulas. Additionally, students create various quadrilaterals given three point...
Curated OER
Formulas Multiple Choice
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 worksheet...
Alaska Department of Education
Mathematics Reference Sheet
Triangles and prisms don't stand a chance when your learners use this handout full of the formulas they need to know about the different shapes. Area, volume, and surface formulas are all covered along with the standard measurement and...
Curated OER
Formulas
In this algebra worksheet, students plot points in order to find the slope, midpoint, or distance between two points. There are 16 questions.
Curated OER
Complex Distance
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 concept....
02 x 02 Worksheets
Slope
What does slope have to do with lines? Pupils work with lines and determine the slope of the lines informally and with the slope formula. Groups use their knowledge to calculate the slopes of parallel and perpendicular lines. They also...
Geometry Accelerated
Accelerated Geometry Review Sheet
Your geometry learners use their knowledge of various geometric concepts to write proofs. Starting with givens containing parallel line segments with transversals and triangles and quadrilaterals, and the mid-point and distance formulas;...
Curated OER
Distance Formula
Pupils calculate the distance formula. In this geometry lesson plan, students find the distance between two points on a coordinate plane. They identify the four different quadrants.