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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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Centers in Subtraction

**Students will participate in multiple centers including a guided math center that reinforces subtraction concepts. **

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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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More Super Duper Math

**Students will gather objects to compare quantities and justify their answers pictorially and verbally. They will use their vocabulary posters and accountable talk menus to discuss with their partners. **

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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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The Picture Graph Party

Students will explore and create picture graphs through collaboration and group work.

**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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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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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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Balancing Act

**Students use a pan balance model and manipulatives to identify a total that balances two parts. The use of the pan balance will help to develop the concept of equality. Students will develop the language of equality by reading and identifying the following expressions; balances, is the same as, is equal to, and equa l before the symbol for equality is introduced. Students will identify an unknown part in a balance situation. Students will communicate ideas, explain, and justify how they solved problems.**

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Going Beyond with Number Bonds

Students will use number bonds to compose and decompose numbers to 10.

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The Shapes Around Us

Students will make connections between real-world objects and the attributes of two-dimensional shapes.

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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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Math on the Farm

**In learning stations, students compose and decompose numbers up to 10, in more than one way, using objects, pictures, story mats, tens frames, and number bond mats.**

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Quadratics: Connecting Roots, Zeros, and x-Intercepts

Given a quadratic equation, the student will make connections among the solutions (roots) of the quadratic equation, the zeros of their related functions, and the horizontal intercepts (*x*-intercepts) of the graph of the function.

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Applying the Laws of Exponents: Verbal/Symbolic

Given verbal and symbolic descriptions of problems involving exponents, the student will simplify the expressions using the laws of exponents.