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Mathematics K-12

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  • Please note that this page is still in development. Feel free to help out by adding a few problems. Your problems will most likely not be edited, but the formatting be edited. You can start a new topic but please stay in "Kindergarden" until most of it is completed. This is the student version of this textbook. Answers are not included.

Kindergarden[edit | edit source]

Kindergarten math does not have many categories to it as kindergarten is barely the start of math. Most classes start doing subtraction and/or multiplication in first grade. Below are a few kindergarten problems.

Basic Addition[edit | edit source]

Basic Addition is the start to kindergarden math. Below are a few basic addition problems with explanations.

Adding 1s[edit | edit source]

Adding 1 to a number is very similar to counting, so it's a great easy start to addition. Adding 1+1 is basically starting from 1, then going to the next number. Adding 4+1 just means you start at 4, then go up by 1 number, which results in 5. Practice this using many different numbers.

Problems:

1+1=

4+1=

7+1=

3+1=

5+1=

2+1=

6+1=

Adding within 10[edit | edit source]

Adding within 10 may be a lot different than just adding 1 number. Although it may seem harder, you're still going on it in the same way. Let's try 3+4 together. Ideally in addition, it is much easier to start from the larger number and add the smaller number to the larger number. Then you won't have to go up as much. Let's change the problem to 4+3 to help us add. All you have to do is start at 4. 4+1 is 5, as we did in our "Adding with 1s" problem. Now start at 5. Add 1 to 5. 5+1=6. Now we start at 6. Add 1 to 6. 6+1=7. As of now we have added 1 three times already, 7 is our final answer. There is a much faster but a little more complicated harder way to do this problem using your fingers, but let's just start with this.

Problems:

1+2=

3+5=

3+2=

3+1=

4+5=

5+3=

2+7=

6+3=

3+4=

1+4=

Addition Without Counting[edit | edit source]

Although the other way of single digit addition is easy, we're going to start getting into some fast ways. Let's start with 5+3. All you have to do is start from 5. Then go 3 numbers higher! Count 3 after 5. 6... 7... 8! The answer you will probably get is 8. This is a much faster way to do addition. You can use your fingers to help if you want.

Problems: (Please see algorithm below before doing problems)

4+2=

5+4=

3+6=

5+3=

Mastering Single-Digit Addition[edit | edit source]

Mastering addition with single digits may seem easy, but it's actually not that easy. Instead of focusing on our speed, let's focus on our accuracy. Our Accuracy is very important. To master single-digit addition, Not only do you have to be fast but you have to be correct. Start doing a few problems below and try to get them all correct. Do not focus on your speed. Take your time.

5+5=

1+3=

3+2=

4+1=

2+4=

5+2=

2+7=

So, did you focus on your accuracy? Did you get them all correct? Make sure to check. You don't actually need to work on your speed. It's good to get a faster algorithm, but you still need to make sure that faster algorithm doesn't make it too hard for you to get the correct answer. Practice getting your problems correct, and your speed will grow over time.

Advanced Counting[edit | edit source]