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....

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. 

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.

Learners revisit midpoint and segments by graphing on the TI or computer. This activity can be done with pencil and paper, but is more interactive if it is done on a TI-navigator.

In this midpoint worksheet, students use a number line to find the midpoint of a line segment. Next, they find the midpoint of a line using the coordinate plane. Examples of how to use each method are given at the beginning of the...

Without ever using the actual term, this exercise has the learner develop the key properties of the midsegment of a triangle. This task leads the class to discover a proof of similar triangles using the properties of parallel...

Classmates apply midpoint concepts by leapfrogging around the complex plane. The 12th lesson plan in a 32 segment unit, asks pupils to apply distances and midpoints in relationship to two complex numbers. The class develops a formula to...

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....

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...

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...

Using a TI Navigator to drag quadrilaterals around to create different shapes, students learn how to draw midpoints in their quadrilaterals. In this geometry lesson, students solve problems using the properties of quadrilaterals. 

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.

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.

High schoolers explore the concept of right triangles as they construct a right triangle using Cabri Jr. Learners find the midpoint of the hypotenuse and construct a line from the midpoint to the vertex of the right angle. They then...

Investigate the properties of the shape formed by connecting the midpoints of adjacent sides of a quadrilateral. In this properties of the shape formed by connecting the midpoints of adjacent sides of a quadrilateral lesson, young...

Pupils investigate segments in a triangle by constructing a triangle using Cabri Jr. They construct segments within the triangle that lie on the midpoints of the triangle's sides. Learners then compare the slope of base of the triangle...

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...

Fractions, ratios, and proportions: 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...

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...

Pupils work in pairs to investigate what it takes to prove that two triangles are similar. They work through various shortcuts to find which are enough to show a similarity relationship between the triangles. Small groups work with the...

High schoolers explore the concept of quadrilaterals as they find the midsegments of quadrilaterals using Cabri Jr. on a graphing calculator. They find midpoints, slopes, angles, and distances of lines and angles.

Not too much, not too little, but just right in the middle. Using researched census population data, young statisticians plot population data over time. They develop an idea of midpoints to estimate populations for years that census data...

Students complete Part A: Dissecting a Circle. They generate their own chords within the circle. Students measure the various parts of the arc in the shot put pit. The first two measurements, the chord and distance from the midpoint of...

Students explore the concept of coordinate proofs. For this coordinate proofs lesson, students write coordinate proofs using properties of distance, slope, and midpoint. Students discuss why it is sometimes beneficial to double the...