Lesson Plan
Curated OER

The Distance and Midpoint Formula

For Teachers Higher Ed
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....
Worksheet
Curated OER

Distance Formula with Decimals 1

For Students 4th - 8th
For this distance formula worksheet, learners complete the distance formula with numbers with decimals. Students complete 16 problems total.
Worksheet
Curated OER

Distance Formulas

For Students 7th - 8th
In this distance formulas activity, students identify and complete 9 various questions that include using the distance formulas to solve. First, they use the formulas given to respond to each of the questions in the tables shown on the...
Lesson Plan
Virginia Department of Education

Circles in the Coordinate Plane

For Teachers 9th - 11th Standards
Make the connection between the distance formula and the equation of a circle. The teacher presents a lesson on how to use the distance formula to derive the equation of the circle. Pupils transform circles on the coordinate plane and...
Lesson Plan
EngageNY

The Distance from a Point to a Line

For Students 9th - 12th Standards
What is the fastest way to get from point A to line l? A straight perpendicular line! Learners use what they have learned in the previous lessons in this series and develop a formula for finding the shortest distance from...
Worksheet
Curated OER

Length of a Line Segment - Distance

For Students 8th - 9th
Pupils determine the distance between two given points. They use the distance formula to determine line length, as well as the length of the radius of a circle. The Pythagorean Theorem may also be used to determine line length. This...
Lesson Plan
Willow Tree

Midpoint and Distance Formulas

For Students 8th - 11th Standards
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. 
Worksheet
Curated OER

Points, Regions, Distance and Midpoints

For Students Higher Ed
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...
Lesson Plan
Curated OER

Word Problems: Distance = Rate x Time

For Teachers 9th - 11th
In this word problem worksheet, young scholars read word problems, and set the information into the distance formula. They solve the formula to determine the distance, rate and time. This two-page worksheet contains six problems, with...
Lesson Plan
Education Development Center

Points, Slopes, and Lines

For Teachers 6th - 9th Standards
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...
Lesson Plan
Virginia Department of Education

Distance and Midpoint Formulas

For Teachers 9th - 11th Standards
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.
Instructional Video9:56
Corbett Maths

Shortest Distance between Line and Point

For Students 8th - 12th Standards
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...
Worksheet
Curated OER

The Distance Formula

For Students 7th - 9th
In this distance formula worksheet, students find the distance between 12 different sets of ordered pairs.  Students use the distance formula given two ordered pairs to find the distance of a line segment.
Worksheet
Curated OER

length of the Line Segment

For Students 10th
For 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. 
Lesson Plan
EngageNY

Writing the Equation for a Circle

For Teachers 9th - 12th Standards
Circles aren't functions, so how is it possible to write the equation for a circle? Pupils first develop the equation of a circle through application of the Pythagorean Theorem. The instructional activity then provides an exercise set...
Lesson Plan
EngageNY

Searching a Region in the Plane

For Students 9th - 12th Standards
Programming a robot is a mathematical task! The activity asks learners to examine the process of programming a robot to vacuum a room. They use a coordinate plane to model the room, write equations to represent movement, determine the...
Lesson Plan
EngageNY

Addition and Subtraction Formulas 1

For Teachers 11th - 12th Standards
Show budding mathematicans how to find the sine of pi over 12. The third instructional activity in a series of 16 introduces the addition and subtraction formulas for trigonometric functions. Class members derive the formulas using...
Lesson Plan
EngageNY

Perimeter and Area of Polygonal Regions in the Cartesian Plane

For Students 9th - 12th Standards
How many sides does that polygon have? Building directly from lesson number eight in this series, learners now find the area and perimeter of any polygon on the coordinate plane. They decompose the polygons into triangles and use Green's...
Worksheet
Curated OER

Regents Exam Questions: Distance

For Students 9th - 12th
In this distance worksheet, high schoolers solve 12 multiple choice, short answer, and graphing problems.  Students use the distance formula to find the distance between two points.
Worksheet
Curated OER

The Distance Formula

For Students 8th - 9th
In this distance formula worksheet, students solve and complete 28 various types of problems. First, they find the distance between each pair of points provided. Then, students solve and graph the points.
Lesson Plan
Willow Tree

Formulas

For Students 8th - 11th Standards
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. 
Assessment
1
1
PBS

Working with Coordinate Planes: Assessments

For Teachers 5th - 8th Standards
It's time for scholars to show what they know about coordinate planes with a collection of three assessments. The exams' objectives include plotting points on a single grid, measuring using the distance formula, and identifying...
Lesson Plan
EngageNY

Distance and Complex Numbers 1

For Teachers 11th - 12th Standards
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...
Worksheet
Curated OER

Informal Geometry

For Students 8th - 12th
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...