Chris Evans Math

This investigation provides a common example of parallel lines and transversals by showing a map of city streets. Students can then use protractors to measure pairs of special angles such as corresponding, alternate interior, alternate exterior, and same-side interior angles. They will then make conjectures about the mathematical relationships among the pairs of angels (i.e. congruent or supplementary).

This activity can be completed individually or collaboratively. Students have the opportunity to practice or review the Distance and Midpoint Formulas in the context of a real world application. Students will create a network connecting schools in a school district. The goal is to create the network with the shortest possible total length. This also connects to minimal spanning trees in Discrete or Finite Math.

This activity has students answer challenging real-world questions about circumference, arc length, and areas of circles and sectors in the context of a roundabout.

In this activity, students are given a series of congruent polygons as well as several of their dimensions. They then determine the ratios of their sides, perimeters, and areas. They use that information to conjecture the relationship among the three ratios.

This worksheet asks students to use their knowledge of the properties of quadrilaterals to prove or justify the classification of the quadrilateral. It is designed to be open-ended in order to allow student to justify their responses using a format of their choosing.

This activity is intended for a group of 4 students, although it can be modified for different group sizes. Each student is given a sheet with an "all-statement". They must then rewrite the sentence as a conditional statement, and determine whether the statement is true or false. After each step, students can rotate papers and check previous students' answers. Students will proceed with writing the converse, inverse, and contrapositive for each statement, and also determining the truth of each

This exploration has students discover the rules for rotations of geometric figures 90, 180, and 270 degrees counter-clockwise about the origin. The document then provides the students with several practice problems to apply what they have discovered.

This activity allows students to practice answering questions involving the vocabulary and notations introduced in the first unit of Geometry. Students cut out the rectangles around the outside of the shapes. They then fold along the inside lines (and tape together) to form 3 sides of a rectangular prism. They can then answer questions pertaining to locations of points, lines, and planes. Three versions of the activity have been provided to allow for differentiation.

This activity was created for a Geometry course. It provides students with multiple opportunities to practice graphing equations of circle while connecting to the concept of GPS. Students are given sets of 3 equations and asked to graph them and then graphically approximate the point of intersection. This activity could easily be extended in an Algebra course to require students to algebraically find the exact point of intersection.

This document contains a 9-piece square puzzle. The pieces are intended to be cut out before giving them to students, as the original document is also the answer key. Students must match pieces together so that solids are matched up with their corresponding nets. The images around the outside of the puzzle do not have a match. This is a great collaborative activity. It promotes critical thinking, and students are encouraged to discuss their thoughts and reasons.

This activity provides students with images of people and their shadows. They must then use their knowledge of trigonometry to calculate the angle of elevation of the sun. From their, they will conjecture a method for estimating the time of day--connecting to the historical usage of sundials. This activity could easily be extended by having the students go outside and acquire actual measurements.

This activity walks students through a conceptual introduction to arc length. Students then conjecture a formula or method for calculating arc length. Finally, they are asked to solve a series of problems with increasing difficulty to demonstrate their learning.

This activity walks students through a conceptual introduction to areas of sectors. Students then conjecture a formula or method for calculating areas of sectors. Finally, they are asked to solve a series of problems with increasing difficulty to demonstrate their learning.

This activity comes with four similar versions of problem sets focused on calculating areas of regular polygons. Each version has four problems of increasing difficulty: 1) given side length and apothem 2) given side length 3) given apothem 4) given radius of polygon

This document contains the classic Pulley and Belt Problems, complete with diagrams for each. These problems are a rigorous application of arc length and right triangle trigonometry for either a Geometry or Trigonometry course.

Students can use protractors to measure the interior angles of a variety of polygons. They can then use their results to conjecture a pattern for the sum of the measures of the interior angles of a convex polygon.

This worksheet contains 10 syllogisms. Students are asked to determine whether each argument is valid or invalid.

This PowerPoint contains 11 problems involving circumference and arc length. They could be used as example problems in class, as a homework set, or as an in-class game.