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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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Lines of Symmetry

Students will work collaboratively with a partner to discover what is a line of symmetry.

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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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Composing and Decomposing a Number

In this lesson, students will learn how to compose a number with base 10 blocks, decompose a ten, and then compose the same number a different way.

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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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Are You Part of Our Family?

**The teacher will introduce Fact Families through literature. Students will create and represent various Fact Families within 10.**

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Transformations of Absolute Value Functions

Given an absolute value function, the student will analyze the effect on the graph when f(x) is replaced by af(x), f(bx), f(x – c), and f(x) + d for specific positive and negative real values.

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Subtraction Seekers

Students will be introduced to subtraction in an inquiry-based lesson that uses concrete examples and allows students to explore through different settings and scenarios.

**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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Humpty Dumpty's Mystery Fall

Students will listen to the story of Humpty Dumpty and share what they know about the nursery rhyme character. Then, they will help solve the math mystery of Humpty Dumpty and determine the number of broken eggs by finding the missing addend.

**Texas Essential Knowledge and Skills (TEKS) Vertical Alignment**

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Making Ten is Easy as Pie!

Students will practice composing 10 by interacting with a counting story, playing a dice game with ten frames and response sheets, and participating in a small group to extend the learning with three addends.

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

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

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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It’s All About the Bend, No Breaking

Students will experiment with choosing tools to measure around a previously created pet habitat in preparation for choosing appropriately sized food bowls. Students will use a graphic organizer to record tools chosen and to explain why those tools were or were not a good choice for continuous measurement.

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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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Interpreting Scatterplots

Given scatterplots that represent problem situations, the student will determine if the data has strong vs weak correlation as well as positive, negative, or no correlation.

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Making Predictions and Critical Judgments (Table/Verbal)

Given verbal descriptions and tables that represent problem situations, the student will make predictions for real-world problems.

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Collecting Data and Making Predictions

Given an experimental situation, the student will write linear functions that provide a reasonable fit to data to estimate the solutions and make predictions.

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Writing Expressions to Model Patterns (Table/Pictorial → Symbolic)

Given a pictorial or tabular representation of a pattern and the value of several of their terms, the student will write a formula for the nth term of a sequences.

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Finding Specific Function Values (Verbal/Symbolic)

Given a verbal and symbolic representations of a function, the student will find specific function values.