# Concepts in Probability and Statistics for High School

Concepts in Probability and Statistics is an elective course in high school that aims to help students apply statistics ideas to real-world situations. It is ideal for students needing an alternative math credit, but who may not wish to pursue more advanced mathematics courses such as Algebra II and Pre-Calculus.

This page provides information on Time4Learning’s statistics and probability online course, why understanding probability and statistics is important, and what you can expect your high schooler to learn in this two-semester elective.

## Why Study Concepts in Probability and Statistics in High School?

Often without realizing it, we all benefit from statistics and probability every day. From weather reports to medical test results, from election polls to census data, probability and statistical language and concepts inform every aspect of our society. An introduction to probability and statistics gives high schoolers the ability to judge whether the conclusions drawn from data are accurate.

A successful high school statistics curriculum will help students become informed, critical users of data who can apply them meaningfully in their everyday lives. In an era where citizens are bombarded with arguments for and against everything from political positions to medical interventions, those who have taken a course in statistics and probability for high school  are in a better position to judge the validity of the claims on each side.

## What Do You Learn in Probability and Statistics Class?

Time4Learning’s course in probability and statistics for high school begins with an in-depth study of probability, with a focus on conceptual understanding. Students then move into an exploration of sampling and comparing populations.

Throughout the statistics course, students will aim for the following goals:

• Understand probability concepts, including the difference between theoretical probability and experimental outcomes.
• Express the likelihood of single and multiple events numerically.
• Understand sampling procedures, and make inferences about populations from appropriate samples.
• Compute and interpret descriptive statistics about samples, including measures of center and measures of variability.
• Represent data graphically in meaningful ways, including dot plots, histograms, and box plots.
• Represent and interpret the relationship between two variables using scatterplots and regression.
• Apply an understanding of normally distributed data to make and test hypotheses.
• Apply probability concepts to a variety of situations.

## High School Probability and Statistics Course Scope & Sequence

#### Chapter 1: “Basics of Probability”

• Understanding Probability
• Sets and Venn Diagrams
• Permutations and Combinations
• Finding Outcomes
• Geometric Probability
• Theoretical Probability
• Experimental Probability
• Performance Task: Geometric Probability Models

#### Chapter 2: “Probability”

• Experimental vs. Theoretical Probability
• Compound Events and Sample Space
• Compound Events and the Fundamental Counting Principle
• Probability of Compound Events
• Simulations to Estimate Probabilities

#### Chapter 3: “Applications of Probability”

• Theoretical and Experimental Probability
• Independent and Mutually Exclusive Events
• Probability of Independent Events
• Conditional Probability
• Probability and Two-Way Tables
• Probability with Combinations and Permutations
• Properties of Probability Distributions
• Performance Task: Applying Probability Concepts

#### Chapter 4: “Data Distributions”

• Plotting Data on a Dot Plot
• Describing Data on Dot Plots
• Analyzing Dot Plots
• Representing Data Sets with Histograms
• Finding the Mean
• Comparing Mean and Median
• Range and Interquartile Range
• Box Plots
• Box Plots
• Mean Absolute Deviation
• Cumulative Exam

#### Chapter 5: “Sampling and Comparing Populations”

• Populations and Sampling
• Sampling Methods
• Inferences and Predictions
• Multiple Samples
• Variation in Predictions and Estimates
• Designing a Study
• Expected Value
• Binomial Distribution

#### Chapter 6: “Data Analysis”

• Summarizing Data Sets with Statistics
• Data Displays and Statistics
• Comparing Measures of Center and Variability
• Comparing Box Plots
• Describing Data
• Measures of Center
• Comparing Data Sets
• Representing Data

#### Chapter 7: “Constructing Scatterplots”

• Constructing Scatterplots
• Interpreting Clusters and Outliers
• Exploring Association
• Drawing Trend Lines
• Using Equations to Represent Trend Lines
• Making Predictions

#### Chapter 8: “Analyzing Scatterplots”

• Line of Best Fit
• Analyzing Residuals
• Strength of Correlation
• Regression Models
• Comparing Data Sets
• Performance Task: Super Survey Simulator

#### Chapter 9: “Two-Way Tables and Statistics”

• Making Two-Way Tables
• Interpreting Two-Way Tables
• Two-Way Tables
• Relative Frequencies and Association
• Standard Deviation
• Introduction to Normal Distributions
• Applications with Standard Normal Distribution
• Statistical Inferences
• Hypothesis Testing
• Cumulative Exam

## Why Choose Time4Learning’s High School Probability and Statistics Curriculum?

Time4Learning’s homeschool statistics curriculum uses unique activities and material to help high school students connect data to current, real-world dilemmas. This college-preparatory course teaches them to reason abstractly and quantitatively and make informed decisions.

If your homeschooler is looking for a practical mathematics elective, this intro to probability and statistics offers:

• 9 chapters and more than 350 activities which cover everything from data analysis to scatterplots.
• Content and assignments aligned with state content standards to give students a comprehensive understanding of statistics and probability for senior high school.
• Activities that engage students in active learning including visual supports and note-taking guides and tools.
• Self-paced online instruction that uses video, printed material and virtual supports to keep different types of learners engaged.
• Interactive lessons that use the talents of experienced teachers to provide engagement, support, and encouragement.
• Ongoing, varied, and frequent assessments to check students’ mastery of content.
• Parent access to planning and recordkeeping tools for more effective and efficient homeschooling.
• Customer service and support unparalleled in any other online homeschool statistics course.

PreK - 8th

\$24.95
• Monthly, first student
• (\$19.95/mo for each additional PreK-8th student)

9th - 12th

\$34.95
• Monthly, per student
• (\$19.95/mo for each additional PreK-8th student)

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