High School Geometry (An Online Course to Boost Your Grade!)

Algebra vs Geometry?
Algebra is a branch of mathematics using variables, numerals, and symbols in expressions and equations to represent quantities. Whereas Geometry is concerned with points, lines, planes, solids, and surfaces. But Algebra and Geometry do go hand-in-hand. For example, while a line is a geometry concept, we can use algebra to represent the line using the slope equation.

We shouldn’t be making such a distinction between these two mathematical branches, as they are complements of each other. Some people like to say they are more an algebra person, while others say they are more geometry people. Granted, shapes and objects appeal to others more than equations and formulas, and the truth is that these two branches can’t exist without the other. Trying to find the volume of a cylinder involves algebra, just like understanding the proof behind the Pythagorean theorem involves geometry. So, regardless of your preference, algebra and geometry are integrally connected and are considered the foundation of all higher branches of math.

Is Geometry Hard?
What makes geometry challenging for some students is its reliance on your ability to solve equations and think “big picture.” Your algebra skills will be called upon time and time again to solve for missing angles, side lengths, area, etc., so if your math background is lacking in the foundations of Algebra, Geometry can be challenging at times.

Moreover, you will be asked to think outside the box and rely on your inductive and deductive reasoning skills. What do you see? Why makes sense? Do you have to use a formula, or is there an easier way? Some students find this type of mathematical freedom liberating and exciting, while others will undoubtedly not like the lack of structure and prefer a course that only has one set of rules or steps.

But by in large, the biggest reason why people say geometry is “hard” is that you will be asked to verify your conclusions. This can be found in the unit dealing with logic and reasoning, as well as learning how to make two-column proofs. Most students, and teachers for that matter, find two-column proofs and the need to justify answers using theorems, definitions, or postulates to be complicated and unwieldy at first. This struggle is only compounded by the fact that Geometry is the first time most students have ever encountered formal proofs, and it can be a little daunting. But proofs and justification or conclusions is a critical step that all students must embrace if they are to move forward in their ability to think critically. Yes, it can be challenging at times, but the result will be a strong and robust mind able to tackle the higher levels of learning still yet to come.

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