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45-45-90 Triangles

To learn the pattern of the side lengths of a 45-45-90 triangle, students complete a gallery walk, a card sort activity starting with using the Pythagorean theorem, and activity to locate if there is an error in a presented problem and if so to identify what the error is.

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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 Logical Reasoning to Prove Conjectures about Circles

Given conjectures about circles, the student will use deductive reasoning and counterexamples to prove or disprove the conjectures.

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Creating Nets for Three-Dimensional Figures

Given nets for three-dimensional figures, the student will apply the formulas for the total and lateral surface area of three-dimensional figures to solve problems using appropriate units of measure.

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Generalizing Geometric Properties of Ratios in Similar Figures

Students will investigate patterns to make conjectures about geometric relationships and apply the definition of similarity, in terms of a dilation, to identify similar figures and their proportional sides and congruent corresponding angles.

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Determining Area: Sectors of Circles

Students will use proportional reasoning to develop formulas to determine the area of sectors of circles. Students will then solve problems involving the area of sectors of circles.

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Making Conjectures About Circles and Segments

Given examples of circles and the lines that intersect them, the student will use explorations and concrete models to formulate and test conjectures about the properties and relationships among the resulting segments.

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Determining Area: Regular Polygons and Circles

The student will apply the formula for the area of regular polygons to solve problems.

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Making Conjectures About Circles and Angles

Given examples of circles and the lines that intersect them, the student will use explorations and concrete models to formulate and test conjectures about the properties of and relationships among the resulting angles.

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Solving Problems With Similar Figures

Given problem situations involving similar figures, the student will use ratios to solve the problems.

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Connecting Postulates, Definitions, and Theorems

The student will distinguish the difference between undefined terms, definitions, postulates, conjectures, and theorems.

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Determining the Validity of Conditional Statements

Given a conditional statement, the student will determine its validity and the validity of the converse, inverse and contrapositive.

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Making and Verifying Conjectures about Angles

Given the relationship(s) among a set of angles, the student investigates the patterns and makes conjectures about the geometric relationships, including angles formed by parallel lines cut by a transversal.

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Making and Verifying Conjectures about Lines

Students will investigate patterns and make conjectures about geometric relationships.

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Making and Verifying Conjectures About Circles

Given information about the relationship(s) witnin one circle or a set of circles, the student will explore special segments and angles of circles.

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Writing the Converse, Inverse, and Contrapositive

Given a conditional statement, the student will write its converse, inverse, and contrapositive.

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Constructing and Justifying Statements about Geometric Figures

Students will distinguish between undefined terms, definitions, postulates, conjectures, and theorems and investigate patterns to make conjectures about geometric relationships.

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Using Counter Examples to Disprove Statements That Are False

Given statements about a geometric relationship, the student will use counter examples to disprove statements that are false.