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Twelfth Grade curriculum
Equations and Inequalities
Understanding the inverse of matrices
Represent a system of equations as a matrix
Trigonometric Functions
Understand the unit circle
Extend the domain of trigonometric functions using the unit circle.
Model periodic phenomena with trigonometric functions.
Model periodic phenomena with trigonometric functions.
Prove and apply trigonometric identities.
Types of Functions
Compose functions
Read values of an inverse of a function
Build new functions from existing functions.
Relationship between exponents and logarithms
Vector
Understanding vectors
Represent and model with vector quantities.
Solve problems involving velocity
Represent and model with vector quantities.
Finding the magnitude of a vector
Multiplying a vector by a scalar
Understanding scalar multiplication graphically
Computing magnitude and direction
Matrix
Performing operations on matrices
Understanding matrices
Multiplying matrices by scalars
Understanding that multiplication of matrices are not commutative
The zero and the identity matrices
Multiply a vector by a matrice
2x2 matrices as transformations of the plane
Similarity
General Formula for Area of A Triangle
The law of sines
Use the law of sines in right triangles
Circles
The tangent to a circle
Parabolas and Ellipses
Derive the equation of a ellipse and a hyperbola
Volume
Use volume formulas to solve problems
Conditional Probability
Tree diagrams in math
Use the rules of probability to compute probabilities of compound events.
Expected Values
Define a random variable in a sample space
Calculate the expected value of a random variable
Probability distribution for a random variable
Develop a probability distribution for a random variable
Understand how to weigh the possible outcomes of a sample space
Find the expected payoff of a game
Use probability in everyday decisions
Use probability in fair desicions
Analyze decisions and strategies using probability concepts
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