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.
4 OnTRACK Grade 7 Math: Number and Operations
Students will learn how to apply mathematical process standards to represent and use real numbers in a variety of forms.
19 OnTRACK Grade 7 Math: Proportionality
Students will learn to use proportional relationships to describe dilations; to explain proportional and non-proportional relationships involving slope; and to use proportional and non-proportional relationships to develop foundational concepts of functions.
7 OnTRACK Grade 7 Math: Expressions, Equations, and Relationships
Students will learn to develop mathematical relationships and make connections to geometric formulas; use geometry to solve problems; use one-variable equations or inequalities in problem situations; and use multiple representations to develop foundational concepts of simultaneous linear equations.
11 OnTRACK Grade 8 Math: Proportionality
Students learn to to use proportional relationships to describe dilation; explain proportional and non-proportional relationships involving slope; and use proportional and non-proportional relationships to develop foundational concepts of functions.
7 Chapter 9: Hypothesis Testing
In this chapter, students will learn how to perform a hypothesis test and interpret its results.
3 Chapter 1: Exploring Data
In this chapter, we introduce statistics, how it is used, and the types of data we come across in real life.
4 Chapter 7: Sampling Distributions
In this chapter, students will describe and model variability using population and sampling distributions.
7 Chapter 8: Confidence Intervals
In this chapter, students will learn how to construct and interpret a confidence interval for a population mean and a population proportion.
5 Chapter 10: Comparing Two Groups
In this chapter, students interpret confidence intervals and the results of hypothesis tests for the difference between two means and the difference between two proportions.
5 Chapter 3: Representing Categorical Data
In this chapter, we explore the different ways to display categorical data and draw conclusions based on the representations.
8 Chapter 2: Data Collection, Sampling, and Experimental Design
In this chapter, we explore various methods of data collection and potential problems that may occur when collecting data.
9 Chapter 6: Probability
In this chapter, students explore probability and random variables.
6 Chapter 4: Representing Quantitative Data
In this chapter, we explore different ways to display quantitative data, and draw conclusions based on the representations.
7 Chapter 11: Exploring Bivariate Data
In this chapter, students explore the relationship between two quantitative variables. Students will analyze scatterplots for strength, direction, and form; interpret the correlation coefficient; determine the line of best fit using least-squares regression; use the line of best fit to make predictions for a value of y given a value of x; interpret the slope and the y-intercept; learn about alternative methods of finding the line of best fit, including the median-median line and the absolute value line; and identify outliers and influential points and their effects on the regression line and correlation coefficient.
6 Chapter 5: Measuring Center and Spread
In this chapter, students will learn multiple measures for center and spread, and will be introduced to the normal distribution and the empirical rule.
Pilot Study Edge Statistics
In Statistics, students build on the mathematics knowledge and skills from Kindergarten–grade 8 and Algebra I, broadening their knowledge of variability and statistical processes. Students will study sampling and experimentation, categorical and quantitative data, probability and random variables, inference, and bivariate data. Students will connect data and statistical processes to real-world situations and extend their knowledge of data analysis (TAC §111.47(b)(3)).
This video book is brought to you by TEA and Study Edge. It may be used to teach an entire Statistics course or to supplement traditional Statistics textbooks.
This open-education-resource instructional material by TEA is licensed under a Creative Commons Attribution 4.0 International Public License in accordance with Chapter 31 of the Texas Education Code.
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