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.Â
CK-12 Foundation
Midpoint and Segment Bisectors: Finding Treasure with Geometry
Send your class on the hunt for a buried treasure and apply geometry skills along the way. An engaging lesson uses direction and midpoint locations to find the location of a treasure. Videos provide background information to complete the...
EngageNY
Dividing Segments Proportionately
Fractions, ratios, and proportions:Â what do they have to do with segments? Scholars discover the midpoint formula through coordinate geometry. Next, they expand on the formula to apply it to dividing the segment into different ratios and...
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
Coordinate Geometry Battleship Lesson Plan
Young scholars play a "Battleship" type of game to practice graphing on a coordinate plane. In this coordinate graphing lesson, students select a point on their grid to place their "battleship." It the opposing team misses the ship, the...
Curated OER
Midpoint Formula Worksheet
Students will find the midpoint of the line between two given points. Answers will be expressed as ordered pairs. Coordinates will be rounded to the nearest tenth if necessary.
CK-12 Foundation
Points that Partition Line Segments: Cutting a Log
Teach ratios of line segments using an interactive approach. Scholars examine a line segment in the shape of a log and use their knowledge of ratios to divide it into various partitions. As an introductory lesson, the segment has a...
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...
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.
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
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
Finding the Distance and Midpoint of a Line Segment
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...
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
Analytic Proofs of Theorems Previously Proved by Synthetic Means
Prove theorems through an analysis. Learners find the midpoint of each side of a triangle, draw the medians, and find the centroid. They then examine the location of the centroid on each median discovering there is a 1:2 relationship....
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...
EngageNY
Complex Numbers and Transformations
Your learners combine their knowledge of real and imaginary numbers and matrices in an activity containing thirty lessons, two assessments (mid-module and end module), and their corresponding rubrics. Centered on complex numbers and...
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.
Radford University
Parallelogram Task
These floors were made for learning. Pupils use coordinate planes drawn on the classroom floor using tape to investigate parallelograms. They measure lengths, angles, and slopes to identify properties of parallelograms.
Radford University
Google Earth Trip
Travel the world instantly—and learn about math along the way. Using pictures of famous places taken from Google Earth, scholars look for parallel and perpendicular lines based on slope and angle measurements. They also calculate...
Curated OER
Trapezoid and Midpoint Rule
Students solve problems of area using the trapezoid and midpoint rule. In this calculus lesson, students take the derivative of the functions as they approximate the area under a curve. They calculate the exact area using the area formula.
Curated OER
Using Tiling to Find Area
There is only one area calculation problem here, and the explanation is detailed below; consider projecting this as an all-class warm up. Scholars assess a rectangle with given length and width, calculating its area. Next, they break it...
Curated OER
Finding the Measure of Segments
Students observe and solve examples of betweenness, ruler postulate, and segment addition postulate. They complete the Finding the Measure of Segments worksheet using the distance formula.
Flipped Math
Calculus AB/BC - Approximating Areas with Riemann Sums
There are several ways to estimate the area if the curve does not create nice geometric figures. The presenter introduces the idea of using areas of rectangles to estimate the area under the curve. Pupils use four types of Riemann Sums,...
Curated OER
Measurement via Triangulation
Students utilize triangulation techniques to determine altitudes of objects. An altitude locator is constructed and used to determine the height of a building or a tree. Tangent tables and formulas provide the ratio for the formula to...