Elevation at its Peak

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.

Your learners will get plenty of practice finding the sine, cosine, and tangent values and angles in this well-organized activity. Given right triangles with their various side lengths and angles labeled, learners find the sine, cosine,...

Your learners get extra practice using coordinates in calculating mid points, finding end points, deciding if points are collinear, calculations using slope concepts, writing linear equations, using triangles and quadrilaterals, and...

Here you will find a model of a linear relationship between two quantities, the water depth of a channel and the distance across the channel at water level. The cross section of the channel is the shape of an isosceles trapezoid. The...

Explore the use of formulas to problem solve with a video example that uses the distance formula to find a speed and then uses the speed to determine a time. The one example shows the different applications of the formula.

After viewing a short video about a climb up Mount Everest, high schoolers read about triangulation for measuring distant elevations. Have your class work in groups to construct an inclinometer and then use it to measure the height of...

In 2016, one in every four fatal car crashes listed speeding as a contributing factor. Pupils view videos of a car trying to come to a quick stop from four different rates of speed. They use context clues to measure and determine the...

Determine the distance between two trees from afar. Pupils use an interactive resource to create two right triangles using trees and a plane. They determine the horizontal legs of each triangle to find the distance between the two trees.

Are you working on the distance formula? Derive the distance formula and help your learners by showing them the logic behind the distance formula. This practical video should help conceptual understanding and is appropriate for in-class...