MA19.PRE.12

Mathematics (2019) Grade(s): 09-12 - Precalculus

MA19.PRE.12
Add and subtract vectors.

Unpacked Content

Knowledge

Students know:

The aspects of end-to-end, componentwise, and the parallelogram rule involving vectors.
The additive inverse of a vector has the same magnitude but the opposite direction.

Skills

Students are able to:

Draw and find the diagonal of a parallelogram.
Represent vectors on an xy-plane.
Find the components of a vector given the direction and magnitude.
Find the additive inverse of a vector.

Understanding

Students understand that:

There are multiple ways to find the sum and difference of a pair of vectors.
The magnitude of the sum of two vectors will not be the same as the sum of the magnitudes unless the vectors are in the same direction.
The vector with the larger magnitude will have the greatest effect on the result.

Vocabulary

End-to-end
Component-wise
Parallelogram Rule
Sum of Two Vectors
Additive Inverse
Vector Subtraction

Aligned Learning Resources

PhET: Vector Addition

It's Just the Beginning...Adding And Subtracting Vectors

Adding and Subtracting Vectors Lesson

Proof I Know How to Add and Subtract Vectors

Go, Stop, Slow - Here's What I Know - Fundamental Counting Principle Exit Ticket

Greatest, Least, or Equal?

Greek and Latin Roots

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