Something about three seems to making my older son grow at light speed. Since he hit his birthday in December, it's been non-stop new skills and ever-increasing independence. This week alone, he graduated from a mattress on the floor to a real twin bed (and he's only rolled out of it once), he's begging to … Continue reading Up He Grows!
In order to keep them from crawling up the walls in their last week before summer vacation, I've given my seventh graders a tessellation project. There are about ten million youtube videos explaining how to do this, so I won't bore you with the basics. Instead, I'll just tell you about my struggles and how … Continue reading Tessellation Tip
Activity for the big kids today: Without using a ruler, determine whether this triangle is equilateral, isosceles, or scalene. Prove it.
In over our heads with radicals in 8th grade Algebra this week, so we took some time to review the Pythagorean Theorem. Geometry is so beautifully concrete. In addition to demonstrations you can do with drawings and such, here's an example of a very cool model that my 8th graders found wonderfully entertaining. As … Continue reading Pythagorean Theorem
I use geometric drawing across the curriculum in several projects. Below is an in-progress shot of an 8th-grader's design for a stained glass window, an assignment from my medieval history unit that incorporates symbolism along with geometric design. In world history, we use geometric drawing when studying Roman and Islamic mosaics, and students have the … Continue reading Geometry Across the Curriculum
The construction for a regular hexagon is a favorite of my students every year and the one most of them choose as a basis for their geometric design project. We are simply going to begin with a line and use our compass to draw three congruent circles along it. Start with the center circle. Mark … Continue reading Construct a Hexagon
Today we'll be bisecting an angle, i.e. cutting an angle in half without using a protractor to measure. Begin with any angle and draw an arc from the vertex (V) such that your arc crosses both rays of the angle. Call the points where your arc crosses those rays points A and B. At this … Continue reading Bisect an Angle
Today we'll be doing a very simple construction -- bisecting a segment. In other words, we will be cutting a line segment in half. Begin by drawing matching circles from your two endpoints (A and B). The radius of the circle is not important. As long as it is more than half the length of … Continue reading Bisect a Segment
Here's a little activity to wrap up our geometry study for the week. Have your students consider the following drawing and try to identify as many polygons as they can. If they need a little guidance, here are some possibilities... regular hexagons rectangles parallelograms rhombi other irregular quadrilaterals a multitude of triangles -- equilateral, isosceles, … Continue reading Identify Geometric Shapes
We can employ the two skills we've been working on this week -- constructing congruent segments and constructing congruent angles -- to create a copy of any polygon. Use a straight edge to draw any polygon. Here's an irregular hexagon drawn for me by a helpful eighth-grader and his ruler: To copy your … Continue reading Copy Any Polygon