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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^{®} Biology

^{®}Biology

*AP ^{®} Biology* covers the scope and sequence requirements of a typical two-semester biology course for AP

^{®}students. The text provides comprehensive coverage of foundational research and core biology concepts through an evolutionary lens. AP

^{®}Biology was designed to meet and exceed the requirements of the College Board’s AP

^{®}Biology Framework, while allowing significant flexibility for instructors. Each section of the book includes an introduction based on the AP

^{®}curriculum as well as rich features that engage students in scientific practice and AP

^{®}test preparation. It also highlights careers and research opportunities in the biological sciences. Content requirements for AP

^{®}Biology are prescribed in the College Board Publication Advanced Placement Course Description: Biology, published by The College Board (http://ritter.tea.state.tx.us/rules/tac/chapter112/ch112d.html#112.62).

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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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.

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Determining the Meaning of Intercepts

Given algebraic, tabular, and graphical representations of linear functions, the student will determine the intercepts of the function and interpret the meaning of intercepts within the context of the situation.

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Predicting the Effects of Changing y-Intercepts in Problem Situations

Given verbal, symbolic, numerical, or graphical representations of problem situations, the student will interpret and predict the effects of changing the *y*-intercept in the context of the situations.