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.
Education Development Center
Points, Slopes, and Lines
Before graphing and finding distances, learners investigate the coordinate plane and look at patterns related to plotted points. Points are plotted and the goal is to look at the horizontal and vertical distances between coordinates and...
Mathematics Vision Project
Connecting Algebra and Geometry
Connect algebra and geometry on the coordinate plane. The eighth unit in a nine-part integrated course has pupils develop the distance formula from the Pythagorean Theorem. Scholars prove geometric theorems using coordinates including...
Curated OER
Distance Formula
Students calculate the distance formula. For this geometry lesson, students find the distance between two points on a coordinate plane. They identify the four different quadrants.
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...
Willow Tree
Formulas
Help learners understand the benefits of rearranging a formula. Scholars practice rearranging formulas for specific variables. They also analyze formulas to understand one variable's effect on the other.
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...
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...
CK-12 Foundation
Distance Between Two Points: Biking the Blocks
Distance estimates would be easy if the world were a grid. Scholars work to determine the distance between two structures using a coordinate plane. As an introduction, the lesson focuses on vertical and horizontal distances.
Curated OER
length of the Line Segment
In this geometry worksheet, 10th graders use the distance formula to determine the length of the give line segments. The one page worksheet contains eight problems. Answers are provided.
Corbett Maths
Shortest Distance between Line and Point
A short video shows how to find the shortest distance between a line and a point on the coordinate plane. Using the fact the shortest distance is the perpendicular, the presenter shows the class how to find the intersection of the two...
Teach Engineering
Using Map Scales to Figure Distances and Areas
The asteroid is getting closer and the question is whether the state of Alabraska is large enough for the shelter calculated in the previous activity. Teams determine the scale of their project and then use the scale on the map to...
NASA
Lunar Rover
What is the shortest distance/time needed to complete a mission? Groups devise a strategy in order to determine the shortest distance and time connecting two points and a segment. They then use graphing, the distance formula, and a...
Mathematics Vision Project
Module 7: Connecting Algebra and Geometry
The coordinate plane links key geometry and algebra concepts in this approachable but rigorous unit. The class starts by developing the distance formula from the Pythagorean Theorem, then moves to applications of slope. Activities...
EngageNY
Addition and Subtraction Formulas 1
Show budding mathematicans how to find the sine of pi over 12. The third lesson in a series of 16 introduces the addition and subtraction formulas for trigonometric functions. Class members derive the formulas using the distance formula...
Curated OER
Go The Distance Car Construction
Young scholars build and program a car to drive a specific challenge distance.They must at the end of the lesson, have the car that stops the closest to a challenge distance.
Math eBook
Distance Between Two Points
In this distance worksheet, learners calculate the distance between two points on a coordinate plane. This four-page worksheet contains 20 problems.
Curated OER
Distance on a coordinate plane
In this geometry worksheet, 10th graders solve problems in which they find the distance between two points on a coordinate plane. The two page worksheet contains a combination of eleven multiple choice and free response questions. ...
Del Mar College
Formulas for Elementary and Intermediate Algebra
Give your scholars the support they need to work with formulas. A reference page offers definitions and picture examples of perimeter, area, surface area, volume, the Pythagorean theorem, a variety of shapes, and more.
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...
EngageNY
Distance on the Coordinate Plane
Apply the Pythagorean Theorem to coordinate geometry. Learners find the distance between two points on a coordinate plane by using the Pythagorean Theorem. The vertical and horizontal change creates a right triangle, which allows...
Illustrative Mathematics
Equations and Formulas
Your class is asked to use inverse operations to solve eleven equations for unknown variables or to rearrange formulas to highlight a quantity of interest. By using the same reasoning as solving one- and two-step equations, algebra...
Curated OER
Distances Between Stars
In this distance between stars worksheet, students use the 3-dimensional distance formula and Cartesian coordinates to find the distances of 10 given stars from the sun. They also determine which constellation each star belongs to and...
Curated OER
Equations and Inequalities
In this equations and inequalities activity, 9th graders solve and complete 14 different multiple choice problems. First, they name an example of the commutative property of addition. Then, students use the distance formula to determine...
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