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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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Solving Equations and Inequalities

Students will be divided into four groups and work on their assigned task to become an expert. They will match vocabulary terms with definitions and examples, use the “Pass the Pen” strategy to create and solve equations or inequalities, or write a real-world problem for an equation given. The experts will then teach these concepts to their peers.

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Perfectly Proportional Percents

Students will collaborate to explain verbally how to solve percent proportions and scaling while showing their thinking.

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Keep Your Balance!

**Students are introduced to solving one-variable, one-step equations using addition and subtraction through models and hands-on activities. The students will learn the substitution method of checking answers.**

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Perfecting Percents

Students will engage in an activity that allows them to explore the different parts of percents: part, whole, and percent, and develop conceptual understanding of percents through the Concrete, Representational, Abstract (CRA) method of instruction.

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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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Roll With It

Students will experience a hands-on lesson regarding ratios. While doing this, students will deepen their understanding of the concepts of ratios.

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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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How Does the Cookie Crumble?

Students will self-discover how to multiply mixed numbers by using background knowledge of estimation, computations, and real world application of a recipe.

**Texas Essential Knowledge and Skills Related to the Unit **

In fifth grade, students will be able to multiply and divide whole numbers, which will lead into multiplication and division of decimals in sixth grade. That same year, they will model products and quotients of decimals to the hundredths place. This concrete model will lead them to a better understanding of the algorithm in fifth and sixth grade.

As fifth graders, students will model multiplication and division of a fraction and a whole number. The following year, students are expected to multiply and divide all types of fractions.

In addition, during sixth grade, students are introduced to integers (negative whole numbers) and will be able to model and solve all operations with integers. All of the skills previously stated will lead students to be able to perform all operations of rational numbers without models (positive and negative fractions, decimals, and whole numbers) in seventh grade.

Click below to learn more about the TEKS related to this unit. The highlighted standards have been chosen for this 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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Using Measures of Center and Spread to Summarize Data

**Students will be able to use the measures of center and spread of a set of data to make summary statements regarding the applications of the data.**

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Independent and Dependent Variable in Tables and Graphs

Students will use information in a real-world scenario to create a table or graph, translate the meaning of the table or graph, and identify the independent and dependent quantities.

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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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Area of Triangles, Parallelograms, and Trapezoids

These activities provide an opportunity for students to explore the area formulas for triangles, trapezoids, and parallelograms.

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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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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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Interactive Math Glossary

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Estimating Measurements and Using Formulas: Surface Area

Given application problems involving lateral or total surface area the student will estimate measurements and solve the problems.