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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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Let's Analyze and Compute Fractions!

Students will compare fractions with unlike denominators to determine whether a given answer to a real-world problem is correct using context and computational skills.

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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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45-45-90 Triangles

To learn the pattern of the side lengths of a 45-45-90 triangle, students complete a gallery walk, a card sort activity starting with using the Pythagorean theorem, and activity to locate if there is an error in a presented problem and if so to identify what the error is.

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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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When Life Gives You Lemons

**Students create input-output tables to find numerical patterns and relationships in the real world through the process of making lemonade.**

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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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Who Ran the Farthest?

Students determine by using fractions which fourth-grade teacher ran the farthest.

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Express Yourself

Students determine which expression is a truth or a lie by generating equivalent expressions.

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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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Frontier Days Heros Solve Division Equations to Unite our Nations

Students will be able to creatively and confidently solve one-and two-step problems involving multiplication and division, including interpreting the remainder. In addition, students will be working collaboratively by using critical thinking and activating prior knowledge to solve math operation skills in a real-world situation.

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Are You the Rule?

Students will be able to understand how to determine the numerical relationship of numbers in a function table.

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Working with Literal Equations

The lesson will provide a conceptual basis for illustrating the parallelism between solving multi-step equations and translating literal equations into solutions for specified variables.

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Understanding Multiplication Using Cell Phone Plans

Students will multiply to compare cell phone plans in order to determine the best deal and to connect the standard algorithm to other multiplication strategies and place value in the real world.

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Tinkering with Remainders

**Students will use division to create a remainder scenario using materials provided.**

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Interpreting Remainders

**Students will solve division word problems including problems where they are required to interpret a remainder.**

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Adding Fractions on a Number Line

Students will work collaboratively in small groups to create number lines, and then use those number lines to model a real-world situation.

**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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Make a Hit with Decimals

Students will compare and order decimals using baseball batting statistics. Through discovery, students will determine the top six out of eleven players to be recruited for the school’s baseball team, present their findings, and explain reasons for their orderings. From students’ explanation, strategies for ordering decimals will be determined and used to adjust subsequent lessons.

**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.