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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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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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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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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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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.

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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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Time Using the Z Method

In small groups, students will calculate elapsed time using the Z method. This method helps students better understand the importance of start time and end time when performing elapsed-time calculations.

**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 is the chosen focus for the Research Lesson.

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What's on the Menu?

Students will practice solving one- and two-step problems in a simulated real-world situation by calculating the costs of different Thanksgiving dinners.

**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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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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Fraction Pizza PART-y

The students will add and subtract fractions with like denominators using a real-world scenario problem about pizza dough.