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K12-MATHS-STATISTICS

This course is designed to provide a basic understanding

of descriptive and inferential statistics. Topics include

the measures of central tendency, standard deviation,

combinations and permutations, probability, sampling,

and various distributions. Emphasis is on applications of

statistical concepts.

This Course Covers The Following Probability &

Statistics Concepts:

Interpreting Categorical and Quantitative Data

Summarize, represent, and interpret data on a

single count or measurement variable.

Summarize, represent, and interpret data on two

categorical and quantitative variables.

Interpret linear models.

Making inferences and Justifying Conclusions

Understand and evaluate random processes

underlying statistical experiments

Make inferences and justify conclusions from

sample surveys, experiments and

observational studies

Conditional Probability and the Rules of Probability

Understand independence and conditional

probability and use them to interpret data

Use the rules of probability to compute

probabilities of compound events in a uniform

probability model

Using Probability to Make Decisions

Calculate expected values and use them to solve problems

Use probability to evaluate outcomes of

Decisions

Students learn counting methods, probability, descriptive statistics, graphs of data, the normal curve, statistical inference, and linear regression. Proficiency is measured through frequent online and offline assessments, as well as asynchronous discussions. Problem-solving activities provide an opportunity for students to demonstrate their skills in real-world situations. Prerequisite: Algebra II (or equivalent)

Unit 1: Representing Data Graphically

Students develop skills and instincts that will allow them to create clear, convincing presentations of any data set they encounter. They also learn to look at any data chart or plot with a critical, mathematical eye and point out trends and important features of the data. They work on an extended graphing exercise throughout the unit and prepare a presentation.

Course Introduction

Introduction: Representing Data Graphically

Data and Variables

Graphs of Categorical Data

Two-Way Tables

Line Plots

Frequency Tables

Histograms

Stem-and-Leaf Plots

Time Series Plots

Unit 2: Representing Data Numerically

Students work with real data from 55 national parks in the United States, learning how to represent an entire set of data by using single numbers that describe where the center of the distribution is located and how the data are spread.

Introduction: Representing Data Numerically

Measures of Center

Box Plots

Determining Quartiles

Outliers

Comparing Data Sets

Measuring Spread

Transforming Data Sets

Unit 3: Counting and Probability

Students learn mathematical formulas for counting large sets and determine the number of combinations and arrangements. They also learn basic probability and the difference between experimental and theoretical probability.

Introduction: Counting and Probability

Counting Methods

Permutations

Combinations

Basic Probability

Geometric Probability

Mutually Exclusive Events

Overlapping Events

Independent and Dependent Events

Experimental Probability

Unit 4: Random Variables and Distributions

Students begin to develop a more keen understanding of descriptive statistics.

Introduction: Random Variables and Distributions

Creating Probability Distributions

Interpreting Probability Distributions

Expected Value

Binomial Distributions

Continuous Random Variables

The Normal Distribution

Standardizing Data

Comparing Scores

The Standard Normal Curve

Finding Standard Scores

Unit 5: Sampling

Students begin to learn about sampling and how to apply statistical methods to valid samples.

Introduction: Sampling

Sample and Population

Bias in Sampling

Reducing Bias

Statistics and Parameters

Interval Estimates

Unit 6: Statistical Inference

Students learn how to put the power of statistics to work.

Introduction: Statistical Inference

The Central Limit Theorem

Estimating Means

Mean Differences

Estimating Proportions

Proportion Differences

Unit 7: Relationships Between Variables

Students learn how to identify and describe relationships between variables.

Introduction: Relationships Between Variables

Scatter Plots

Association

The Correlation Coefficient

Fitting a Line to Data

Least Squares Regression

Regression Analysis

Cautions in Statistics

Unit 8: Semester Review and Test

Students review what they have learned and take the semester exam.

Semester Review

Semester Tes