What should I be learning in grade 9 for math and physics?

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Discussion Overview

The discussion revolves around what mathematical and physics concepts a grade 9 student should focus on to expand their knowledge. It includes topics such as quadratic equations, trigonometry, calculus, and introductory physics concepts like motion and waves.

Discussion Character

  • Exploratory
  • Conceptual clarification
  • Debate/contested
  • Homework-related

Main Points Raised

  • One participant suggests continuing with trigonometry as it will be useful for both physics and school mathematics.
  • Another participant recommends starting with a non-calculus based physics book and emphasizes the importance of mastering algebra and trigonometry before moving on to calculus.
  • Some participants express that grade 9 is a time to enjoy learning without too much pressure and to focus on current schoolwork.
  • There is a suggestion to consider resources like the Art of Problem Solving Series for more advanced problem-solving skills.
  • One participant cautions that calculus is advanced and should be approached later, recommending a focus on foundational topics like analytic geometry and word problems first.
  • A participant mentions that while not all of trigonometry or precalculus is necessary to start learning calculus, understanding the basics is essential at some point.

Areas of Agreement / Disagreement

Participants express differing views on the pace and focus of learning. Some advocate for continuing with advanced topics like trigonometry and calculus, while others suggest a more relaxed approach, emphasizing enjoyment and foundational knowledge.

Contextual Notes

There are varying opinions on the necessity of mastering all aspects of trigonometry and precalculus before starting calculus, indicating a lack of consensus on the best approach to learning these subjects.

Who May Find This Useful

This discussion may be useful for grade 9 students interested in mathematics and physics, as well as educators looking for insights on student learning paths in these subjects.

Cbray
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I'm in grade 9 , we just started parabola's and quadratic equations.
I'm able to do quadratic equations no problem, I did do some parabola's a while ago so it would be practically revision. I did start Trigonometry in my own time I just finished the sin line.. should I still continue ? (We haven't started trig yet).
After finishing what ever when can I start calculus ?

Also with physics, I've done physics of motion up to projectiles flying through the air (briefly know it since I learned from khan academy), and waves (strong).

What should I start doing in physics and maths, I really like to expand my knowledge.. thanks!
 
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Yes, you should continue. Not only will it be useful for physics, it will also be useful for finishing school mathematics.

Start with a non-calculus based physics book (Cutnell and Johnson's Physics springs to mind) if you want to dive into some physics in the mean time.

Once you have algebra and trigonometry done (also geometry) and feel confident with them, maybe look at a precalculus book. From there hop onto calculus.

Take what I say as a rough guide. More experienced people on this forum might have a better approach :)

Have fun and good luck Cbray!
 
Personally, I wouldn't focus too much on it. You're in grade 9. Enjoy your freedom. Focus on the school work you are doing now. This is the part of your life where some of the most fundamental ideas and concepts are presented to you.
 
High school is boring. If you can afford them I suggest the Art of Problem Solving Series.
 
Calculus and everything after that is quite advanced material and is quite difficult. Also it needs almost all the math that you learn in school. So I would wait until grade 11 to learn calculus. For now you can look at anything before that, for example, analytic geometry (graphs, tangents, etc), trigonometry, simultaneous equations, logarithms, or anything else like that. And get good at word problems of all types, most people struggle with that.
 
NRICH is a great website for problem-solving. nrich.maths.org

I also don't necessarily think you need to learn all of trigonometry or all of 'precalculus' to start learning calculus. They are essential in calculus at some point, but you can still learn the basics.
 

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