Take a tour of KA exercises Khan Academy exercise overview
Take a tour of KA exercises
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- Listen to our videos on a range of topics.
- At Khan Academy, we have exercises that cover lots of different math topics.
- Over time we'll add practice exercises in other subjects
- but for now we cover things from arithmetic through algebra and geometry and down even into some calculus.
- I'm looking right now at our knowledge map
- which is an outer spaced themed way of looking at the topics we cover in math.
- I got here by clicking "PRACTICE" from khanacademy.org.
- As you can see here, we have lots of different topics that we cover.
- In this video I want to show the two major ways to navigate our exercise content.
- The first way is to navigate at the topic level.
- What that means is that you click on one of these topics here
- Addition and Subtraction, Fractions, Linear Equations and Inequalities
- and you would get lots of different problems at that level.
- There may be different types of problems, you could practice many different skills simultaneously.
- The other way to navigate our content is to practice one skill at a time.
- First I'll show you how to practice at the topic level and then we'll practice one skill at a time.
- The way this works is let's say you wanted to practice Addition and Subtraction.
- You would just click on the icon here and we'll take you in and start showing you different types
- of Addition and Subtraction problems.
- The metaphor that we have going on here is we have a stack of cards
- and as you do a problem, one of the cards will move over to the other side of the page.
- I've just done some addition and subtraction, so I seem ready to do some harder problems.
- It's going to start me off by giving me something a bit more advanced.
- If I can handle it, I'll get a nice smiley face, I'll get three leaves and the system will move me on.
- Now they're giving me a simpler problem, and if I know how to do this I can just go ahead and enter the answer in myself.
- If I'm right I get a nice smiley face and those leaves.
- Let's say that I'm not sure how to do a problem.
- I can always ask for a hint and we will break the problem down into simple and intuitive steps
- until the answer becomes clear to you.
- Here we go, I think I get it now, I'll get the right answer and I'll get a smiley face
- but I'll only get two leaves because I needed some help.
- It continues going on like this until you get through a whole stack of cards.
- A stack of cards has 8 in it, it's a manageable amount of work.
- Keep going along like this.
- On each exercise there's a video that you can watch if you're stuck and you need some more help.
- If I'm not sure how to do a problem, it will once again break it down for me into simple steps
- and I'll just keep going like this until I get through the whole stack of cards.
- As you can see here, I'm doing lots of different types of problems
- I'm not just doing one type of addition or subtraction but doing many things all at once.
- If I were logged in, the system would save my progress and I'd be able to track how I'm doing over time.
- You can see here that I've made progress on several different skills.
- If I'd like to, I can get another stack like this where I can practice many skills at once
- or if I want, I can practice one skill at a time.
- Let's say I really want to just practice 1-digit addition.
- I can click right here and now I'm practicing at the individual skill level.
- As I'm going through this stack, I'll only get problems that are 1-digit addition.
- Once again here, if I need help, I can always ask for a hint and I'll get those nice hints
- I can watch a video
- and it has the same metaphor of the cards moving across the page
- but in this case I'm just getting once skill, one type of practice.
- I can get to those skills from within a topic.
- At the end of the stack of cards I saw all of those skills I could practice individually
- or I can zoom in on the knowledge map and see the individual skills.
- Here I can see that underneath Addition and Subtraction, there's lots of different skills like 1-digit addition
- and if I wanted to I could just click there and practice that.
- I just want to show a couple of other interesting things.
- You can always type in here.
- So if I know I wanted to do addition, I can type the word "addition" and it would filter for all of our different addition problems
- and it would filter for all of our different addition problems which are highlighted on the knowledge map and shown here.
- I also want to show a couple of really interesting, exciting problems that we have.
- We have lots of intuition exercises.
- I'll just show a derivative intuition.
- It's a really exciting exercise we have.
- Here, the goal of this exercise is to get the user an intuitive sense of what a derivative is.
- You drag the orange point up until the orange line is a tangent to the curve
- and it starts to give the student an intuitive sense
- that the derivative is just the slope of the tangent line at any point on the curve.
- So it's kind of a nice way to start to show that to the student.
- If I needed a hint, I could ask for a hint, and it would show you where to drag the orange point.
- Really this is just about intuition and it's supposed to introduce the student to derivatives.
- There's lots of other exciting problems like this.
- We have some statistics problems that are really interesting and really a whole range of things
- you can check them out here and see all the different types of problems that we have.
- One last one that I'll show is "Exploring standard deviation" where you actually can move the orange dots here
- and see how that changes the standard deviation and the mean.
- It's exciting to see what happens when you have outliers,
- see what happens when you stack everything really close together into the center here.
- Once again, it gives the intuitive sense of that concept.
- So just a quick review:
- If you click on PRACTICE on our site, you can see the knowledge map which is divided into topics
Be specific, and indicate a time in the video:
At 5:31, how is the moon large enough to block the sun? Isn't the sun way larger?
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When naming a variable, it is okay to use most letters, but some are reserved, like 'e', which represents the value 2.7831...
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