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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.

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Using Theoretical and Experimental Probability to Make Predictions

Given an event to simulate, the student will use theoretical probabilities and experimental results to make predictions and decisions.

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Determining Slopes from Equations, Graphs, and Tables

Given algebraic, tabular, and graphical representations of linear functions, the student will determine the slope of the relationship from each of the representations.

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Predicting, Finding, and Justifying Data from Verbal Descriptions

Given data in a verbal description, the student will use equations and tables to solve and interpret solutions to problems.

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Estimating and Finding Solutions to Problems Involving Similarity and Rates

Given application problems involving similarity and rates, the student will estimate and determine the solutions to the problems.

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Generating Similar Figures Using Dilations

Given a figure, the student will identify the scale factor used for a dilation, and use a dilation by a scale factor, including enlargements and reductions, to generate similar figures.

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Using Geometric Concepts and Properties to Solve Problems

Given pictorial representations, the student will use geometric concepts and properties to solve problems from art and architecture.

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Using Proportional Relations to Find Missing Measurements of Two-Dimensional Figures

Given pictorial representations and problem situations of 2-dimensional figures or 3-dimensional figures, the student will use proportional reasoning to find a missing measurement.

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Using Rational Numbers to Solve Problems

Given a problem situation in verbal form, students will select and use an operation involving rational numbers in order to solve the problem.

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Selecting and Using Appropriate Forms of Rational Numbers

Given real-life problems, the student will select an appropriate method and solve problems involving proportional relationships.

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Exploring Probability with Dependent Events

The student will investigate and develop the concept of dependent probability, including formalizing procedures related to dependent probability and applications of dependent probability.

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Finding Lateral and Total Surface Area

Given concrete models and nets (2-dimensional models) of prisms, pyramids, and cylinders, the student will find and determine the lateral and total surface area.

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Gravitational Force

This resource provides flexible alternate or additional learning activities for students learning about the gravitational attraction between objects of different masses at different distances. IPC TEKS (4)(F)

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Objects in Motion

This resource provides flexible alternate or additional learning activities for students learning about the concepts of distance, speed, and acceleration. IPC TEKS (4)(A)

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Make Connections Between and Across Literary Texts (English 7 Reading)

You will learn how to make connections between and across texts, including other media (e.g., film, play), and provide textual evidence.

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Converting Between Measurement Systems

Given a real-world situation with measurements in either metric/SI or customary units, the student will solve a problem requiring them to convert from one system to the other.

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Recognizing Misuses of Graphical or Numerical Information

Given a problem situation, the student will analyze data presented in graphical or tabular form by evaluating the predictions and conclusions based on the information given.

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Evaluating Methods of Sampling from a Set of Data

Given a problem situation, the student will evaluate a method of sampling to determine the validity of an inference made from the set of data.

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Using Multiplication by a Constant Factor

Given problems involving proportional relationships, the student will use multiplication by a constant factor to solve the problems.

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Predicting, Finding, and Justifying Data from a Table

Given data in table form, the student will use the data table to interpret solutions to problems.