Course of Study

N-VM.8.a: Add vectors end-to-end, component-wise, and by the parallelogram rule. Understand that the magnitude of a sum of two vectors is typically not the sum of the magnitudes.

N-VM.8.b: Given two vectors in magnitude and direction form, determine the magnitude and direction of their sum.

N-VM.9.a: Represent scalar multiplication graphically by scaling vectors and possibly reversing their direction; perform scalar multiplication component-wise, e.g., as 𝘤(𝘷ₓ, 𝘷 subscript 𝘺) = (𝘤𝘷ₓ, 𝘤𝘷 subscript 𝘺).

Solving Linear Systems (Matrices and Special Solutions)

F-CS.15.a: Formulate equations of conic sections from their determining characteristics.

Addition and Subtraction of Functions

Circles

Ellipses

Hyperbolas

Parabolas

Distance-Time Graphs

Distance-Time and Velocity-Time Graphs

Distance-Time Graphs

Distance-Time and Velocity-Time Graphs

F-IF.18.a: Graph square root, cube root, and piecewise-defined functions, including step functions and absolute value functions.

Absolute Value with Linear Functions

Radical Functions

F-IF.18.b: Graph polynomial functions, identifying zeros when suitable factorizations are available, and showing end behavior.

Graphs of Polynomial Functions

Polynomials and Linear Factors

Quadratics in Factored Form

Quadratics in Vertex Form

Roots of a Quadratic

Zap It! Game

F-IF.18.c: Graph rational functions, identifying zeros and asymptotes when suitable factorizations are available, and showing end behavior.

General Form of a Rational Function

Rational Functions

F-IF.18.d: Graph exponential and logarithmic functions, showing intercepts and end behavior, and trigonometric functions, showing period, midline, and amplitude.

Cosine Function

Exponential Functions

Exponential Growth and Decay

Logarithmic Functions

Logarithmic Functions: Translating and Scaling

Sine Function

Tangent Function

Translating and Scaling Functions

Translating and Scaling Sine and Cosine Functions

Sum and Difference Identities for Sine and Cosine

F-TF.28.b: Solve applied problems that include sequences with recurrence relations.

Arithmetic Sequences

Geometric Sequences

Simplifying Trigonometric Expressions

Sum and Difference Identities for Sine and Cosine

Box-and-Whisker Plots

Describing Data Using Statistics

Real-Time Histogram

Sight vs. Sound Reactions

Mean, Median, and Mode

Reaction Time 2 (Graphs and Statistics)

Estimating Population Size

Polling: City

Polling: Neighborhood

Real-Time Histogram

Sight vs. Sound Reactions

Independent and Dependent Events

Lucky Duck (Expected Value)

Probability Simulations

Theoretical and Experimental Probability

Geometric Probability

Independent and Dependent Events

Lucky Duck (Expected Value)

Probability Simulations

Theoretical and Experimental Probability

S-MD.54.a: Find the expected payoff for a game of chance.

S-MD.54.b: Evaluate and compare strategies on the basis of expected values.

Correlation last revised: 3/17/2020