Angles

It seems like ages ago, but we worked with blocks to show lots of things about angles before schools were closed. Here are my pictures, for use in our learning portfolios.

We also learned that the interior angles of a triangle add up to 180 degrees, and the interior angles of a quadrilateral add up to 360 degrees. Both of these can be proven by creating a triangle (or quadrilateral, as shown), labelling and identifying the angles, and the ripping the shapes up to separate the angles.

The angles then ca be reassembled together, and in this case we see that they go all the way around a circle or 360 degrees. In the case of a triangle, they all come together to make a straight line, or 180 degrees.

We next had a look at desmos geometry, and we investigated how joining the midpoints of any quadrilateral will create a parallelogram in the middle.

We can prove it’s a parallelogram by measuring angles. Opposite angles are congruent. Also parallel sides will be the same length. With desmos geometry we can drag and drop any of the corners to shift the shape, and see that the resulting interior quadrilateral is always a parallelogram!