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.

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...

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.

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...

Young environmentally conscious mathematicians solve a variety of problems related to the central theme of uncovering illegal logging activities. They determine a base camp based on given constraints, investigate logging activities and...

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....

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...

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, learners use...

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...

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...

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.

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 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.

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...

In this points, lines, planes, and space worksheet, high schoolers solve word problems dealing with points, lines, planes, and space. Students complete 20 individual problems and 20 group problems.

Students explore the concept of coordinate proofs. In 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...

Ninth graders design a safe passage through a 2-D obstacle. In this geometric math instructional activity, 9th graders engage in a hands on activity to better understand the concept of geometric and algebraic perpendicularity. Students...

Learners create tessellations with computer software while applying their knowledge of reflections, rotations, and translations.

Pupils explore the midsegment of a triangle in the geometry activity. They draw and measure the segment joining the midpoints of the two sides of a triangle and compare its length to the length of the third side of the triangle. The...

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....

Students calculate the are of regular polygons. In this geometry lesson, students create polygons on the computer and move it around to create different shapes. They explore the area of different polygons and how they inter-relate.

Students identify the circumcenter of a triangle. In this geometry activity, students construct a perpendicular bisector using a straight edge and a compass. They differentiate between triangles and collinear points.

Students construct midsegments. In this geometry lesson, students make conjectures and apply properties of triangles to solve problems. They complete an activity on the computer.

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.