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Product and Quotient Properties of Exponents

This lesson helps students understand two foundational exponential properties: The Product and Quotient Properties of Exponents. Students will collaborate to formulate a rule for these properties. Ultimately, students should conclude that when the same bases are being multiplied, exponents will be added; and when the same bases are being divided, exponents will be subtracted. As the lesson progresses, students will apply these rules to simplify expressions of various difficulties.

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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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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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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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Domain and Range: Numerical Representations

Given a function in the form of a table, mapping diagram, and/or set of ordered pairs, the student will identify the domain and range using set notation, interval notation, or a verbal description as appropriate.

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Transformations of Square Root and Rational Functions

Given a square root function or a rational function, the student will determine the effect on the graph when f(x) is replaced by af(x), f(x) + d, f(bx), and f(x - c) for specific positive and negative values.

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Transformations of Exponential and Logarithmic Functions

Given an exponential or logarithmic function, the student will describe the effects of parameter changes.

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Solving Square Root Equations Using Tables and Graphs

Given a square root equation, the student will solve the equation using tables or graphs - connecting the two methods of solution.

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Functions and their Inverses

Given a functional relationship in a variety of representations (table, graph, mapping diagram, equation, or verbal form), the student will determine the inverse of the function.

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Rational Functions: Predicting the Effects of Parameter Changes

Given parameter changes for rational functions, students will be able to predict the resulting changes on important attributes of the function, including domain and range and asymptotic behavior.

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No Interest If Paid in Full: How Much Do I Owe?

Students will write a linear equation from a real-world situation, identify the components of the equation, and interpret their meanings in the problem’s context.

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Transformations of Absolute Value Functions

Given an absolute value function, the student will analyze the effect on the graph when f(x) is replaced by af(x), f(bx), f(x – c), and f(x) + d for specific positive and negative real values.

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Conservation of Momentum

This resource was created to support TEKS IPC(4)(E).

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Linear Inequalities

This activity provides an opportunity for students to examine how to find solutions to linear inequalities.

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Linear Transformations

This activity provides an opportunity for students to examine transformations of linear equations.

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Absolute Value Inequalities

This activity provides an opportunity for students to examine how to find solutions to an absolute value inequality.

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Formulating and Solving Square Root Equations

This activity provides an opportunity for students to use a square root equation to model a situation and then use the model to make predictions.

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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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Writing Equations to Describe Functional Relationships (Table → Equation)

Given a problem situation represented in verbal or symbolic form, the student will identify functions.