12th grade

1

Interpreting Categorical and quantitative Data

Content

Different types of charts

Measures of center

Differences in shape, center and spread

The normal distribution

Different types of models

Mathematical regression and modeling

Interpreting the correlation coefficient

Understanding correlation and causation

2

Making Inferences & Justifying Conclusions

Content

Data collection

Statistically significant data

Sample surveys, experiments and observational studies

From a sample survey to estimations about a population

Understand independence and conditional probability and use them to interpret data

3

Conditional Probability & the Rules of Probability

Content

Understanding conditional probability

Two-way frequency table

Finding the conditional probability

The addition rule of probability

Tree diagrams in math

Use the rules of probability to compute probabilities of compound events.

Use the rules of probability to compute probabilities of compound events.

4

Using Probability to Make Decisions

Content

Calculate the expected value of a random variable

Probability distribution for a random variable

Find the expected payoff of a game

5

Vector and matrix quantities

Snow

Content

Understanding vectors

Represent and model with vector quantities.

Solve problems involving velocity

Multiplying a vector by a scalar

Understanding matrices

Multiplying matrices by scalars

Performing operations on matrices

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

6

Reasoning with equations and inequalities

Content

Represent a system of equations as a matrix

Understanding the inverse of matrices

7

Building functions

Content

Compose functions

Read values of an inverse of a function

Build new functions from existing functions.

Relationship between exponents and logarithms

8

Trigonometric functions

Content

Understand the unit circle

Model periodic phenomena with trigonometric functions.

Model periodic phenomena with trigonometric functions.

Prove and apply trigonometric identities.

9

Similarity, Right Triangles and Trigonometry

Content

General Formula for Area of A Triangle

The law of sines

Use the law of sines in right triangles

10

Circles and Ellipsis

Content

The tangent to a circle

11

Geometric Measurement and Dimension

Content

Use volume formulas to solve problems

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