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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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Word problems, models and more!

**The students will engage in group activities to solve word problems with and without models as well as writing equations. **

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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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Crime Scene Two Steppers: Two-step word problems using multiplication and division

Students will collaboratively solve two-step real-world word multiplication and division problems by using a checklist. Students will also solve a two-step word problem by completing a hands-on group activity.

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Colorful Fractions

**Students will represent fractions in multiple ways, such as pattern blocks, fraction strips, and number lines.**

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The Great Classroom Escape

Students will work collaboratively to solve six real-world multiplication problems and earn puzzle pieces they can put together to reveal a phone number they can call to escape the classroom.

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Who Ate More - Fractions on a Number Line

In this activity, students will consider a real-world scenario requiring them to compare two fractional amounts using a number line. Through the use of the number line and peer collaboration, students will recognize equivalency in the two fractional quantities and effectively communicate their understanding of this concept.

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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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Exploring Number Sense

Students will use manipulatives and a number path to identify numbers one less than or more than a given number.

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Using Theoretical and Experimental Probability to Make Predictions

Given an event to simulate, the student will use theoretical probabilities and experimental results to make predictions and decisions.

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Problem-Solving Pet Store

Using a pet store theme, students will work in groups to solve real-world problems to grasp the concept of multi-step multiplication and division word problems.

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Decoding Word Problems

**This lesson focuses on multi-step word problems involving division along with addition or subtraction. The students chunk word problems into each individual step and learn how to choose a familiar strategy. **

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What Goes In, Must Come Out

**Students will learn how to use an input-output table using real-world examples.**

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Analyzing Data Using a Dot Plot

Students will construct a dot plot using data collected on the faces of a cube after it is rolled. Students will then use a key to change the data to represent a larger population.

**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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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**

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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**

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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.