Characterizing Quadrilaterals based on coordinates of vertices.
Students must use distance, midpoint, and slope to determine which shape they've made.
Using playing cards (or any other way of choosing numbers), students are given 4 points and then
Similar to Solving Systems Flowchart, but this is a two-pager that leads students through a set of questions to answer for either leg lengths or angle measures of 45-45-90 right triangles or 30-60-90 right triangles.
There are a few paths that
Simple flowchart for students to get the procedures for solving right-triangle trig problems.
I've found this most useful after a short calculator tutorial and a part of a lesson of solidifying the labels (hypotenuse/opposite/adjacent) of a right
A visual proof of the Pythagorean Theorem as a PPT presentation. On the last slide, there is a .doc file embedded for use as a geometric investigation of the Pythagorean Theorem, having students arrive at the geometric idea of "The square on the
Use a deck (or several - the local dollar store has the 2/$1) of standard playing cards. I only use A - 9 to ensure both all angles stay acute.
I have used this activity as a chance for extra credit after the students get done with their work,
Step-by-step, similar to a few of my other documents. This has been helpful with class for a few reasons
1 - it outlines the methods for students to solve quadratics to find the zeros
2 - I decided not to use many examples on this document and
Review of basics of what angles are
Followed by proofs of vertical angle theorem, corresponding angle theorem, alternate interior angle theorem, alternate exterior angle theorem, and descriptions of what those angles are.
Used in multiple ways...
Show constructions first, have students come up with steps and reasons
Show steps first, have students perform the constructions
Show a couple, then have students try to explore other options, then show solutions.
A presentation about special (30-60-90 and 45-45-90) right triangles.
The "twitter feed" at the bottom of the slides towards the end should probably be looked at and modified to fit your class, but my kids got a kick out of it so I kept it in. I
The Excel Spreadsheet that makes checking the answers to student work for my activity "Card Trigs" super easy and quick.
Choose the number and suit from the drop-down menus, and the 3 sides and 2 acute angles auto-populate
A small introduction about deductive reasoning, followed by a presentation about three of the undefined terms in geometry (Points, Lines, and Planes.)
Every few slides there is a "Twitter" feed and a bio at the end to introduce some math history
A quick review of undefined terms, followed by a presentation about drawing, labeling, and defining segments, rays, and angles.
The last couple of slides discuss the intersections of these objects.
New mathematician introduced - Hipparchus of