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...
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.
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.
EngageNY
Distance and Complex Numbers 2
Classmates apply midpoint concepts by leapfrogging around the complex plane. The 12th instructional activity in a 32 segment unit, asks pupils to apply distances and midpoints in relationship to two complex numbers. The class develops a...
Curated OER
Distance Formula
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.
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
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...
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.
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
Coordinate Geometry Battleship Lesson Plan
Students play a "Battleship" type of game to practice graphing on a coordinate plane. In this coordinate graphing activity, students select a point on their grid to place their "battleship." It the opposing team misses the ship, the...
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...
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
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...
Curated OER
Application of Properties of Quadrilaterals in the Coordinate Plane
Students apply definitions and theorems to verify special quadrilaterals
using coordinate geometry. They apply the slope formula, the midpoint
formula, and the distance formula to justify that a given quadrilateral is a
parallelogram....
Curated OER
Coordinate Proofs
Students explore the concept of coordinate proofs. In this coordinate proofs lesson plan, students write coordinate proofs using properties of distance, slope, and midpoint. Students discuss why it is sometimes beneficial to double the...
Curated OER
Applications of Properties of Quadrilaterals in the Coordinate Plane
Young scholars explore the concept of quadrilaterals. In this quadrilaterals lesson, students use the slope formula, midpoint formula, and distance formula to justify that a given quadrilateral is a parallelogram.
Curated OER
Conic Sections
Learners explore the different properties of conics. In this algebra lesson, students calculate the midpoint of a line, the distances between two points as they get ready to find the focus and directrix in eclipse and other conics. They...
Curated OER
Equations of Lines
Students classify lines, slopes and shapes. In this calculus lesson, students calculate the midpoint, segment and equation of a circle. They also review what a slope and angle of inclination is.
Curated OER
CSI Investigation
Students solve real life situation using the Pythagorean Theorem. For this geometry lesson, students calculate the length, midpoint and slope of segments. They solve word problems using properties of square roots.
Curated OER
This Building is Tall
Students calculate the perimeter of shapes. In this geometry lesson, students relate properties of polygons to the real world. They find length, midpoint and slope.
Curated OER
Hexagon Island
Students identify different polygons. In this geometry lesson plan, students name polygons using the number of sides. They calculate distance and slopes using the correct formula.
Curated OER
Exploring Geometric Constructions of Parabolas
Middle schoolers are introduced to the construction geometrically of parabolas. Using a software program, they identify lines, segments and midpoints. They label the parabolas properties and characteristics and use a formula to...
Curated OER
Quadrilateral Explorations
Ninth graders identify quadrilaterals and label the vertices of quadrilaterals. they justify their identification of the quadrilaterals. Students work in groups to identify and create quadrilaterals
Curated OER
Which Quadrilateral Is It?
Students prove conjectures about geometric figures on the plane or in space using coordinate geometry. They develop fluency in operations with real numbers, vectors and matrices using mental computation or paper-and-pencil calculations...