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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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Equations in the Real World

**Students will create and solve equations with variables on one side before comparing the equation with another to determine at what rate they will be equal. **

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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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Rise Over Run! Let’s Have Fun!

Students will collaboratively practice identifying and graphing slope and y-intercept.

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Up, Up, and Away

Students will determine an appropriate tabular/graphic/formulaic linear solution given 3 sets of data points.

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Four Representations of Linear Relationships

Given one representation of a linear relationship, students will create a poster displaying the other three representations of linear relationships.

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Laws of Exponents

Students will discover the laws of exponents using problem-solving skills.

**Texas Essential Knowledge and Skills (TEKS) Vertical Alignment**

Click below to learn about the TEKS related to the unit and Research Lesson. The highlighted student expectation(s) is the chosen focus for the Research Lesson.

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Rate of Change

The students will determine the rate of change from tables and graphs by using the slope formula. The students will discover and interpret the real-world applications of rate of change.

**Texas Essential Knowledge and Skills (TEKS) Vertical Alignment**

Click below to learn about the TEKS related to the unit and Research Lesson. The highlighted student expectation(s) is the chosen focus for the Research Lesson.

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Concert Trip to Red Rocks Amphitheatre in Colorado

**Students will evaluate and interpret data from both tabular and graphical forms to create a linear equation in either the form of direct variation (y=kx) or slope-intercept form (y = mx + b). Students will then use their findings to interpret the meaning of both slope and y-intercept using a real-world relationship in word form.**

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TXRCFP: Texas Response to Curriculum Focal Points for K-8 Mathematics Revised 2013

The Texas Response to Curriculum Focal Points Revised 2013 was created from the 2012 revision of the TEKS as a guide for implementation of effective mathematics instruction by identifying critical areas of content at each grade level.

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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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Reflections

These activities provide an opportunity for students to explore reflections both on and off of a coordinate plane.

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Translations

These activities provide an opportunity for students to explore translations both on and off of a coordinate plane.

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Dilations

These activities provide an opportunity for students to explore dilations both on and off of a coordinate plane.

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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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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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Drawing Conclusions about Three-Dimensional Figures from Nets

Given a net for a three-dimensional figure, the student will make conjectures and draw conclusions about the three-dimensional figure formed by the given net.

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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.