Saturday, August 22, 2015

Our next main lesson block is Math. This will be Measurement (for Leah, the younger girl) and Geometry (for Natalie, the older girl).

I'm gathering up a collection of math resources and my basic plan for Natalie is to do String, Straight-Edge & Shadow: The Story of Geometry* as our main text and to supplement the chapters with relevant activities from Making Math Meaningful, Math and Science Across Cultures, Hands-On Math, and From Agnesi to Zeno, as well as biographies from Mathematicians are People, Too.

* This is usually the main text for 6th grade Geometry but we are using it to simply dive into the subject until I can see where Natalie's skills lie. Jamie York includes all the curriculum skills for this grade level in his book as well, although I haven't listed them below.

Making Math Meaningful:
A Middle School Math Curriculum for Teachers and Parents

String, Straight-Edge & Shadow: The Story of Geometry makes a wonderful text for the main lesson because it provides a continuous narrative in which to place all of the geometry information. I am cognizant, however, of the need to cover quite a lot of content!

Jamie York expresses the following goals for Geometry in 7th and 8th Grade:

Area: Shear and Stretch, Area of a parallelogram, Area of a non-right triangle

Geometric Drawing: Triangle constructions, Euclidean constructions, Geometric divisions, Star patterns with geometric division

The Pentagon and the Golden Ratio, the Golden Rectangle, the Rectangle of whirling squares, the Golden Triangle and its spiral

Angle Theorems and Proofs, corresponding angles are congruent, alternate interior angles are congruent, same side interior angles add up to 180, the Angles in a triangle add to 180, Pythagorean Theorem, Pythagorean triples, Calculating missing sides of triangles