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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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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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Models of Multiplication

Students will solve one-step multiplication problems using various multiplication strategies such as objects, pictorial models, arrays, equal groups, repeated addition, and number lines.

**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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Distributive Property

Students break an array apart to represent the sum of two multiplication facts, showing the distributive property.

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

As we looked at the vertical alignment document available to teachers through the Texas Education Agency and regional TEKS resource pages, it became evident why students struggle with this standard. The skills and knowledge within this standard are not addressed in the second-grade TEKS. Students are also required to use multiple skills to correctly calculate the answer using the distributive property. The chosen standard is identified as a third-grade readiness standard, which means that the intent is to help students develop a deep understanding of how to effectively use these skills in mathematics. This deep understanding is desired to help students at the fourth-grade level since the standard is identified as a supporting standard.

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

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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**

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From Dogs/Not Dogs to Prisms/Not Prisms

Students will work in pairs, groups, and independently to sort and classify 2D and 3D shapes using formal geometric language. Students will have opportunities to explore the work of other groups to expand their thinking and find new ways that shapes can be sorted and classified. Students will engage in multiple conversations using accurate geometrical language to ask questions, explore a variety of reasonings, and share generalizations about shapes.

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Unlocking Strategies to Multiply and Divide within 100

Students will work in cooperative groups to confidently solve one and two-step multiplication and division problems up to 100 using arrays, strip diagrams, and equations.

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Planting the Seeds of Perimeter

**Students will create planters that meet specific perimeter dimensions. The students will need to determine the number of sides and the perimeter for their planter. **