MATH COMPENTANCY ARTICLE

MATH NEWS

The requirements to graduate are: math 10 course & math 11, or 12 course. If you have enough credits you don’t have to take math 12, but it is highly recommend because many fields require math 12 for university or college.

Palmer provides:

grade 8 to 9 math courses
incentive math 8, incentive math 8/9
workplace math 9
workplace math 10
foundations math 11
pre-ap enriched math pre calc 11
workplace math 12
foundations math 12, pre calc math 12
ap calc math 12

In math you learn about fundamental skills and problems-solving skills.

Many career fields requires math, for example finance (accounting, banking, finical analysts), technology (programming, software engineering, data analysts), research or academia (statistics, mathematician), and much more

BIG IDEAS

- Conceptual understandings

Conceptual understanding is rather than memorizing how to do stuff, you understand the concept and why it works then apply your understanding. Having conceptual understanding can develop your thinking into a more abstract way, with hard complex equations, conceptual understanding plays a big part in solving it.

-Procedural fluency

Procedural fluency is the idea to apply procedures fast and efficiently. In order to apply procedures efficiently you can modify the equations and procedures, you have to be flexible and rational with your thinking.

-Strategic competence

In strategic competence the idea is the ability to formulate mathematical problems, represent, and solve them. This big idea includes combinations of procedural fluency and conceptual understanding. If a certain strategy isn't working, you have to adapt and apply new representations and new strategies.

-Adaptive reasoning

Adaptive reasoning is the ability to think logically about the relationship between procedures and equations. In order to think logically you have to justify and prove the concept behind the mathematical procedure. For example if 50-20=30 is 30+20=50 also true? You will have to prove and demonstrate why it’s true.

- Productive disposition

Productive disposition proposes the idea of seeing math in a positive perspective. When challenging hard complex math equations you have to preserve through it and be willing to find different strategies and approaches until they find a solution. It puts math in the perspective of it being sensible & useful.

One big idea in Math is that numbers and shapes follow patterns and rules. When we learn about linear relations, we see how numbers increase or decrease in a steady way. The slope of a line shows how fast something changes, like how much money you earn per hour or how far you travel over time. This helps us understand real life situations using graphs and equations.

Math is not just about solving problems and memorizing formulas. It is about understanding big ideas that help us make sense of the world. These big ideas connect different topics together and show us why math is useful in real life.

Another big idea is that expressions and equations represent real life situations. When we work with polynomials and factoring, we are not just doing random steps. These expressions can model things like area, profit, and motion. Factoring helps us break down complex problems into smaller parts so we can solve them more easily. It teaches us that there are many ways to represent the same idea.