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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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Introduction to Character Foils

During this lesson, students will view video clips and read texts that have character foils examples. Students will complete a graphic organizer with evidence that supports their identification of foil characters. Once complete, students will use the information from the graphic organizer to discuss character foils.

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Metacognitive Approaches to Student-based Learning

In this lesson, students will learn how to make complex inferences and draw conclusions about a work of literary fiction using a combination of text evidence and background knowledge. Using a graphic organizer and a short story, students will record both text evidence and their prior knowledge, and combine these elements to make an inference about the character.

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Una Reseña de un Restaurante

Students describe a restaurant in restaurant review form using simple phrases and sentences. As they write, students focus on noun-adjective agreement and sentence structure.

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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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Interpreting Scatterplots

Given scatterplots that represent problem situations, the student will determine if the data has strong vs weak correlation as well as positive, negative, or no correlation.

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Making Predictions and Critical Judgments (Table/Verbal)

Given verbal descriptions and tables that represent problem situations, the student will make predictions for real-world problems.

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Collecting Data and Making Predictions

Given an experimental situation, the student will write linear functions that provide a reasonable fit to data to estimate the solutions and make predictions.

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Writing Expressions to Model Patterns (Table/Pictorial → Symbolic)

Given a pictorial or tabular representation of a pattern and the value of several of their terms, the student will write a formula for the nth term of a sequences.

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Finding Specific Function Values (Verbal/Symbolic)

Given a verbal and symbolic representations of a function, the student will find specific function values.

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Simplifying Polynomial Expressions

Given verbal and symbolic representations of polynomial expressions, the student will simplify the expression.

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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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Applying the Laws of Exponents: Verbal/Symbolic

Given verbal and symbolic descriptions of problems involving exponents, the student will simplify the expressions using the laws of exponents.

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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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Understatement/Overstatement (English I Reading)

You will be able to recognize and explain the purpose of understatement and overstatement in a text.

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Diction and Tone (English I Reading)

You will be able to evaluate the diction in a text and discover the author's tone.

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Close Reading of Prose: Practice 1 (English I Reading)

You will read carefully in order to identify diction, tone, and irony and evaluate their impact on the meaning of a text.

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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.