Pilot Algebra Foundations
The primary purpose of the Algebra Foundations course is to promote opportunities for deep understanding of core algebraic concepts to develop algebraic thinkers. The course is composed of 5 topics: Operating with Rational Numbers, Expressions and Equations, Developing Function Foundations, Modeling Linear Equations, and Quadratics. Throughout these topics, students have the opportunity to develop foundational understandings and draw connections to key concepts.
This course is intended to strengthen foundational conceptual understandings from middle school math through Algebra I and is designed to be flexible in meeting the needs of students. Your individual course is created based solely on data that suggests which topics will best develop your students as algebraic thinkers. Each learning session is designed to further develop a skill, and together, these sessions connect skills and concepts to key algebraic understandings. The student learning experience of the Algebra Foundations course promotes conceptual understanding through a focus on active learning and making sense of the mathematics.
Introduction
Introductory information
Definitions of Statistics, Probability, and Key Terms
Definitions of Statistics, Probability, and Key Terms
Data, Sampling, and Variation in Data and Sampling
Data, Sampling, and Variation in Data and Sampling
Frequency, Frequency Tables, and Levels of Measurement
Frequency, Frequency Tables, and Levels of Measurement
4.01 Frequency Tables
In this video, we introduce frequency and relative frequency tables.
4.02 Cumulative Frequency Tables
In this video, students will construct cumulative frequency tables.
4.03 Dot Plots and Comparing Distributions
In this video, we construct our first visual beyond listing data: dot plots. We also begin our discussion of center, shape, spread, and outliers, and compare dot plots.
4.04 Stemplots and Comparing Distributions
In this video, we construct and compare stemplots, and continue our conversation about shape, center, spread, and outliers.
4.05 Histograms and Comparing Distributions
In this video, we construct histograms and use them to compare data distributions.
4.06 Box Plots and Comparing Distributions
In this video, we construct box plots and use them to compare data distributions. We also compare box plots and histograms.
11.01 Scatterplots
In this video, students will analyze scatterplots for strength, direction, and form, and identify potential outliers.
11.02 Correlation
In this video, students will interpret the correlation coefficient.
11.03 Determining the Line of Best Fit
In this video, students will determine the line of best fit using least-squares regression.
11.04 Making Predictions
In this video, students will use the line of best fit to make predictions for a value of y given a value of x.
11.05 Interpreting Slope and y-Intercept
In this video, students will interpret the slope and the y-intercept.
11.06 The Median-Median Line and Least Absolute Value Line
In this video, students will learn about alternative methods of finding the line of best fit, including the median-median line and the absolute value line.
11.07 Outliers and Influential Points
In this video, students will identify outliers and influential points and their effects on the regression line and correlation coefficient.
8.01 Introduction to Confidence Intervals
In this video, students will be introduced to the construction and interpretation of confidence intervals.
10.01 Choosing the Right Case
In this video, students learn to identify the appropriate parameter to perform statistical inference for a given situation.