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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.   Students also...
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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...
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Lesson Plan
EngageNY

Distance and Complex Numbers 2

For Teachers 11th - 12th Standards
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...
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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.
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Performance
Radford University

Distance and Midpoint Formulas in a Mall

For Teachers 9th - 12th Standards
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...
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Printables
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1
Google

Midpoint and Distance Foldable

For Teachers 7th - 11th Standards
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...
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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. 
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Worksheet
Curated OER

Distance and Midpoint Formulas

For Students 9th
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...
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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...
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Lesson Plan
Curated OER

Finding the Distance and Midpoint of a Line Segment

For Teachers 8th - 11th
Students 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...
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Interactive
CK-12 Foundation

Midpoint and Segment Bisectors: Midpoint Map

For Students 9th - 12th Standards
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...
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Performance
Radford University

The Roanoke Adventure!

For Teachers 9th - 12th Standards
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...
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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...
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Worksheet
Curated OER

Midpoint of a Line Segment

For Students 10th
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,...
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Worksheet
Curated OER

Euler's Theorem

For Students 10th
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...
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Activity
1
1
Curated OER

Complex Distance

For Teachers 10th - 12th Standards
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....
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Worksheet
Curated OER

Perpendicular Bisector

For Students 10th - 12th
In 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 line segment. ...
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Worksheet
Curated OER

Practice Test: Vectors

For Students 10th - 12th
In this vector activity, 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 activity contains 6 multi-step problems.
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Lesson Plan
Curated OER

Distance Formula

For Teachers 7th - 9th
Students calculate the distance formula. In this geometry lesson, students find the distance between two points on a coordinate plane. They identify the four different quadrants.
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Assessment
Concord Consortium

Cities and Gas Stations

For Students 7th - 12th Standards
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...
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Lesson Plan
Shodor Education Foundation

InteGreat

For Teachers 9th - Higher Ed Standards
Hands-on investigation of Riemann sums becomes possible without intensive arithmetic gymnastics with this interactive lesson plan. Learners manipulate online graphing tools to develop and test theories about right, left, and midpoint...
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Unit Plan
Curated OER

Transformations in the Coordinate Plane

For Teachers 9th - 12th Standards
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...
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Worksheet
Curated OER

Linear Functions

For Students 11th - 12th
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.
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Worksheet
Curated OER

Formulas

For Students 7th - 12th
In this algebra worksheet, students plot points in order to find the slope, midpoint, or distance between two points. There are 16 questions.

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