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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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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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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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Solving Problems With Similar Figures

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

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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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Vertical Alignment Charts for Revised Mathematics TEKS

This resource provides vertical alignment charts for the revised mathematics TEKS.

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Lesson 2.1: Inquiry-Based Learning

This resource introduced inquiry-based learning. It also discusses building the scientific literacy of CTE students.

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Lesson 2.2: Incorporating the Scientific Practices

This resource discusses incorporating the five scientific practices outlined in the TEKS into a CTE lesson.

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Lesson 2.3: Following the Six Essential Elements

This resource walks through the six essential elements of a science-enhanced CTE lesson.

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Lesson 2.4: Collaborate with Others to Develop Multidisciplinary Curriculum

This resource discusses why collaboration is essential to integrating science into a CTE lesson and who to turn to for collaboration.

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Lesson 2.5: Putting it All Together

This resource is the culminating activity for the course in which CTE teachers will integrate science into one of their existing CTE lessons.

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Lesson 1.1: Curriculum Integration

This resource explains what it means to integrate math into CTE curriculum. It alwo explains the goals and benefits of using an integrated approach to teaching math to CTE students.