I’ve been thinking about the way we structure the flow of high school courses. A typical sequence for the “average” student is Algebra I, Geometry, Algebra II, Pre-Calculus or some type of Trig/Stats class.
As far as I can tell the only difference between Alg II and Pre-Calc is that trig is taught during Pre-Calc and Pre-Calc introduces the concept of the limit. Functions are developed a bit more rigorously too.
The first semester of Algebra II is mostly a repeat of Algebra I as they’ve forgotten it with the year “off” during Geometry.
Why not then teach Geometry first? I’m talking about plane and solid geometry with an emphasis on reasoning, and right angle trig. Obviously there would need to be some supplementing needed (work with radicals, solving equations). Most students have “seen” the solving of equations in 8th grade (Have they mastered it? No, of course not).
I’m thinking that a high school sequence could be structured as: Geometry, Algebra I, Algebra II with Trig, Calculus or Stats.
Analytic geometry could be moved into Algebra II – and there would be time as the “review” of solving systems wouldn’t be needed as there wouldn’t be the year off.
So, I’m looking for some valid reasons why this wouldn’t work. What am I missing? Help me think through this.