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Using Linear Equations to Count Pecans

**Students will write linear equations in point-slope form given two points via a verbal description.**

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Working with Literal Equations

The lesson will provide a conceptual basis for illustrating the parallelism between solving multi-step equations and translating literal equations into solutions for specified variables.

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6 OnTRACK Algebra I: Properties and Attributes of Functions

Students will learn how to use the properties and attributes of functions.

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TEA AP^{®} Physics 2: Algebra-Based

^{®}Physics 2: Algebra-Based

*AP ^{®} Physics* is the result of an effort to better serve teachers and students. The textbook focuses on the College Board’s AP® framework concepts and practices.

The AP^{®} Physics curriculum framework outlines the two full-year physics courses AP^{®} Physics 1: Algebra-Based and AP^{®} Physics 2: Algebra-Based. These two courses focus on the big ideas typically included in the first and second semesters of an algebra-based, introductory college-level physics course. They provide students with the essential knowledge and skills required to support future advanced coursework in physics. The AP^{®} Physics 1 curriculum includes mechanics, mechanical waves, sound, and electrostatics. The AP^{®} Physics 2 curriculum focuses on thermodynamics, fluid statics, dynamics, electromagnetism, geometric and physical optics, quantum physics, atomic physics, and nuclear physics. AP^{®} Science Practices emphasize inquiry-based learning and development of critical thinking and reasoning skills. Inquiry-based learning involves exploratory learning as a way to gain new knowledge. Students begin by making an observation regarding a given physics topic. Students then explore that topic using scientific methodology, as opposed to simply being told about it in lecture. In this way, students learn the content through self-discovery rather than memorization.

The AP^{®} framework has identified seven major science practices, which are described using short phrases that include using representations and models to communicate information and solve problems, using mathematics appropriately, engaging in questioning, planning and implementing data collection strategies, analyzing and evaluating data, justifying scientific explanations, and connecting concepts. The AP^{®} framework’s Learning Objectives merge content with one or more of the seven science practices that students should develop as they prepare for the AP^{®} Physics exam. Each chapter of AP^{®} Physics begins with a “Connection for AP^{®} Courses” that explains how the content in the chapter sections align to the Big Ideas, Enduring Understandings, Essential Knowledge, and Learning Objectives of the AP^{®} framework. These sections help students quickly and easily locate where components of the AP^{®} framework are covered in the book, as well as clearly indicate material that, although interesting, exceeds the scope of the AP^{®} framework. Content requirements for AP^{®} Physics are prescribed in the College Board Publication Advanced Placement Course Description: Physics, published by The College Board (http://ritter.tea.state.tx.us/rules/tac/chapter112/ch112d.html#112.64) and (http://ritter.tea.state.tx.us/rules/tac/chapter112/ch112d.html#112.65).

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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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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Kid2Kid: Determining the Meaning of Slope and Intercepts

Kid2Kid videos on determining the meaning of slope and intercepts in English and Spanish

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Writing Verbal Descriptions of Functional Relationships

Given a problem situation containing a functional relationship, the student will verbally describe the functional relationship that exists.

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Writing Inequalities to Describe Relationships (Graph → Symbolic)

Given the graph of an inequality, students will write the symbolic representation of the inequality.

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Writing Inequalities to Describe Relationships (Symbolic → Graph)

Describe functional relationships for given problem situations, and write equations or inequalities to answer questions arising from the situations.

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Connecting Multiple Representations of Functions

The student will consider multiple representations of linear functions, including tables, mapping diagrams, graphs, and verbal descriptions.

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Writing the Symbolic Representation of a Function (Graph → Symbolic)

Given the graph of a linear or quadratic function, the student will write the symbolic representation of the function.

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Determining Parent Functions (Verbal/Graph)

Given a graph or verbal description of a function, the student will determine the parent function.

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Determining Reasonable Domains and Ranges (Verbal/Graph)

Given a graph and/or verbal description of a situation (both continuous and discrete), the student will identify mathematical domains and ranges and determine reasonable domain and range values for the given situations.

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Interpreting Graphs

Given a graph, the student will analyze, interpret, and communcate the mathematical relationship represented and its characteristics.

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Solving Quadratic Equations Using Algebraic Methods

Given a quadratic equation, the student will solve the equation by factoring, completing the square, or by using the quadratic formula.

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Quadratics: Connecting Roots, Zeros, and x-Intercepts

Given a quadratic equation, the student will make connections among the solutions (roots) of the quadratic equation, the zeros of their related functions, and the horizontal intercepts (*x*-intercepts) of the graph of the function.

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Using the Laws of Exponents to Solve Problems

Given problem situations involving exponents, the student will use the laws of exponents to solve the problems.

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Formulating Systems of Equations (Verbal → Symbolic)

Given verbal descriptions of situations involving systems of linear equations the student will analyze the situations and formulate systems of equations in two unknowns to solve problems.

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Solving Quadratic Equations Using Graphs

Given a quadratic equation, the student will use graphical methods to solve the equation.