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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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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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Finding Clues to Solve Equations and Inequalities

**Students will solve one variable two-step equations and inequalities using a variety of materials while working independently and collaboratively in learning stations.**

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Strike a Pose

The students will solve two-step equations through modeling, expressing algebraically, and writing out the steps to their solutions.

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Rational Number Stations

**Students will visit two different stations and work as a group to add, subtract, multiply, and divide rational numbers.**

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Modeling and Solving Two-Step Equations

Students will use various materials to create models of two-step equations. Then, they will take an equation, create their own model, and solve for the variable from the model.

**Texas Essential Knowledge and Skills (TEKS) Related to the Unit**

Click below to learn about the TEKS related to this unit.

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Equations and Inequalities

Using a graphic organizer, students will write and solve a one-variable, two-step equation using the distributive property. They also will draw a picture and justify their solution.

**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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Does Paper Have Volume?

Students will be involved in a problem-solving lesson to determine if paper has volume, find the volume of a piece of paper and a ream of paper, and determine how many pieces of paper will fit inside their classroom.

**Texas Essential Knowledge and Skills (TEKS) Related to the Unit**

Click below to learn about the TEKS related to this unit.

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Discovering the Ratio of Pi

Students will discover the ratio of *pi* by relating the circumference to the diameter of various circles. Students will use this ratio to approximate the formulas for circumference.

**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 expectations are the chosen focus for the Research Lesson.

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Volume of Triangular Prisms

Students will use hands-on manipulatives to discover the connection between the shape of the base and the height to determine the volume of a prism.

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Area of Composite Figures

Student groups will work collaboratively using the appropriate formulas to find the area of simple figures and combine the area of each shape to find the area of composite figures in real-world situations.

**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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Up, Up, and Away

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

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Diagramming Dinosaurs

Students will use a verbal representation to explore a constant rate of change in the size of dinosaurs over a period of time and represent their data by graphing.

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Compound Probability: Independent vs. Dependent Events

Students will review steps for solving compound probability problems through an activity involving doughnuts. Students will then determine the difference between independent and dependent events through compound probability task cards. To encourage students to work through their struggle, students will rate themselves on a scale measuring effort and achievement at the end of the lesson.

**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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Laws of Exponents

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

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

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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**

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Solving Rational Equations

Students will discuss and formulate an equation to solve an engaging real-world problem. They will use manipulatives to describe how to find the common denominator they need to solve the equation. They will break up into groups and solve for a more complicated problem.

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

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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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Exploring the Ratio of Circumference to Diameter

This activity provides an opportunity for students to explore the ratio of the circumference of its circle to the length of its diameter in order to generalize the ratio for pi.