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Adding vectors algebraically & graphically
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CC BY
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To add the vectors (x₁,y₁) and (x₂,y₂), we add the corresponding components from each vector: (x₁+x₂,y₁+y₂). Here's a concrete example: the sum of (2,4) and (1,5) is (2+1,4+5), which is (3,9). There's also a nice graphical way to add vectors, and the two ways will always result in the same vector.​​

Subject:
Algebra
Material Type:
Lesson
Provider:
Khan Academy
Provider Set:
Khan Academy
Author:
Salman Khan
Date Added:
07/07/2021
Algebra: Arithmetic with Polynomials and Rational Expressions
Conditional Remix & Share Permitted
CC BY-NC-SA
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This site teaches Arithmetic with Polynomials and Rational Expressions to High Schoolers through a series of 4333 questions and interactive activities aligned to 26 Common Core mathematics skills.

Subject:
Mathematics
Algebra
Material Type:
Activity/Lab
Interactive
Provider:
Khan Academy
Provider Set:
Khan Academy
Date Added:
07/07/2021
Algebra: Reasoning with Equations and Inequalities
Conditional Remix & Share Permitted
CC BY-NC-SA
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This site teaches Reasoning with Equations and Inequalities to High Schoolers through a series of 5909 questions and interactive activities aligned to 36 Common Core mathematics skills.

Subject:
Mathematics
Algebra
Material Type:
Activity/Lab
Interactive
Provider:
Khan Academy
Provider Set:
Khan Academy
Date Added:
07/07/2021
Algebra: Seeing Structure in Expressions
Conditional Remix & Share Permitted
CC BY-NC-SA
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This site teaches Structure in Algebraic Expressions to High Schoolers through a series of 3482 questions and interactive activities aligned to 26 Common Core mathematics skills.

Subject:
Mathematics
Algebra
Material Type:
Activity/Lab
Interactive
Provider:
Khan Academy
Provider Set:
Khan Academy
Date Added:
07/07/2021
Arithmetic: More Long Division and Remainder Examples (Part 3 of 4)
Conditional Remix & Share Permitted
CC BY-NC-SA
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This arithmetic lesson demonstrates more long division problems with remainders.[Arithmetic playlist: Lesson 26 of 38]

Subject:
Mathematics
Material Type:
Lecture
Provider:
Khan Academy
Provider Set:
Khan Academy
Author:
Salman Khan
Date Added:
07/07/2021
Arithmetic Operations: Adding Decimals Example 1
Conditional Remix & Share Permitted
CC BY-NC
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You get the general idea of decimal is and what the digits in different places represent (place value). Now you're ready to do something with the decimals. Adding and subtracting is a good place to start. This will allow you to add your family's expenses to figure out if your little brother is laundering money (perhaps literally). Have fun! Common Core Standard: 5.NBT.B.7

Subject:
Numbers and Operations
Material Type:
Activity/Lab
Homework/Assignment
Lecture
Provider:
Khan Academy
Provider Set:
Khan Academy
Author:
Khan
Salman
Date Added:
07/07/2021
Arithmetic Operations: Adding Decimals Example 2
Conditional Remix & Share Permitted
CC BY-NC
Rating
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You get the general idea of decimal is and what the digits in different places represent (place value). Now you're ready to do something with the decimals. Adding and subtracting is a good place to start. This will allow you to add your family's expenses to figure out if your little brother is laundering money (perhaps literally). Have fun! Common Core Standard: 5.NBT.B.7

Subject:
Numbers and Operations
Material Type:
Activity/Lab
Homework/Assignment
Lecture
Provider:
Khan Academy
Provider Set:
Khan Academy
Author:
Khan
Salman
Date Added:
07/07/2021
Arithmetic Operations: Adding Decimals Example 3
Conditional Remix & Share Permitted
CC BY-NC
Rating
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You get the general idea of decimal is and what the digits in different places represent (place value). Now you're ready to do something with the decimals. Adding and subtracting is a good place to start. This will allow you to add your family's expenses to figure out if your little brother is laundering money (perhaps literally). Have fun! Common Core Standard: 5.NBT.B.7

Subject:
Numbers and Operations
Material Type:
Activity/Lab
Homework/Assignment
Lecture
Provider:
Khan Academy
Provider Set:
Khan Academy
Author:
Khan
Salman
Date Added:
07/07/2021
Arithmetic Operations: Multiplying Decimals 1
Conditional Remix & Share Permitted
CC BY-NC
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The real world is seldom about whole numbers. If you precisely measure anything, you're likely to get a decimal. If you don't know how to multiply these decimals, then you won't be able to do all the powerful things that multiplication can do in the real world (figure out your commission as a robot possum salesperson, determining how much shag carpet you need for your secret lair, etc.). Common Core Standards: 5.NBT.B.5, 5.NBT.B.7

Subject:
Numbers and Operations
Material Type:
Activity/Lab
Homework/Assignment
Lecture
Provider:
Khan Academy
Provider Set:
Khan Academy
Author:
Khan
Salman
Date Added:
07/07/2021
Arithmetic Operations: Multiplying Decimals 2
Conditional Remix & Share Permitted
CC BY-NC
Rating
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The real world is seldom about whole numbers. If you precisely measure anything, you're likely to get a decimal. If you don't know how to multiply these decimals, then you won't be able to do all the powerful things that multiplication can do in the real world (figure out your commission as a robot possum salesperson, determining how much shag carpet you need for your secret lair, etc.). Common Core Standards: 5.NBT.B.5, 5.NBT.B.7

Subject:
Numbers and Operations
Material Type:
Activity/Lab
Homework/Assignment
Lecture
Provider:
Khan Academy
Provider Set:
Khan Academy
Author:
Khan
Salman
Date Added:
07/07/2021
Arithmetic Operations: Multiplying Decimals 4
Conditional Remix & Share Permitted
CC BY-NC
Rating
0.0 stars

The real world is seldom about whole numbers. If you precisely measure anything, you're likely to get a decimal. If you don't know how to multiply these decimals, then you won't be able to do all the powerful things that multiplication can do in the real world (figure out your commission as a robot possum salesperson, determining how much shag carpet you need for your secret lair, etc.). Common Core Standards: 5.NBT.B.5, 5.NBT.B.7

Subject:
Numbers and Operations
Material Type:
Activity/Lab
Homework/Assignment
Lecture
Provider:
Khan Academy
Provider Set:
Khan Academy
Author:
Khan
Salman
Date Added:
07/07/2021
Arithmetic Operations: Multiplying Decimals 5
Conditional Remix & Share Permitted
CC BY-NC
Rating
0.0 stars

The real world is seldom about whole numbers. If you precisely measure anything, you're likely to get a decimal. If you don't know how to multiply these decimals, then you won't be able to do all the powerful things that multiplication can do in the real world (figure out your commission as a robot possum salesperson, determining how much shag carpet you need for your secret lair, etc.). Common Core Standards: 5.NBT.B.5, 5.NBT.B.7

Subject:
Numbers and Operations
Material Type:
Activity/Lab
Homework/Assignment
Lecture
Provider:
Khan Academy
Provider Set:
Khan Academy
Author:
Khan
Salman
Date Added:
07/07/2021
Arithmetic Operations: Multiplying Decimals 6
Conditional Remix & Share Permitted
CC BY-NC
Rating
0.0 stars

The real world is seldom about whole numbers. If you precisely measure anything, you're likely to get a decimal. If you don't know how to multiply these decimals, then you won't be able to do all the powerful things that multiplication can do in the real world (figure out your commission as a robot possum salesperson, determining how much shag carpet you need for your secret lair, etc.). Common Core Standards: 5.NBT.B.5, 5.NBT.B.7

Subject:
Numbers and Operations
Material Type:
Activity/Lab
Homework/Assignment
Lecture
Provider:
Khan Academy
Provider Set:
Khan Academy
Author:
Khan
Salman
Date Added:
07/07/2021