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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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Who Ate More - Fractions on a Number Line

In this activity, students will consider a real-world scenario requiring them to compare two fractional amounts using a number line. Through the use of the number line and peer collaboration, students will recognize equivalency in the two fractional quantities and effectively communicate their understanding of this concept.

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Proving an Ecosystem’s Health Through Succession

**Students engage in viewing day three of ecosystem changes in lab groups to determine if the ecosystem is healthy or unhealthy based on scientific data and factors. **

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Glaciologist in Action (Lab)

Students participate in a hands-on lab in which glacier (ice) effects on the Earth’s surface is demonstrated.

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Word problems, models and more!

**The students will engage in group activities to solve word problems with and without models as well as writing equations. **

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Communication in Space

Students will work in cooperative groups to create an accurate arrangement of mirrors that work together to relay a laser beam from a Mars space station to Earth’s Mission Control, which will model utilizing satellites in space for communication, an accommodation necessary for manned space exploration.

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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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Finding Clues to Solve Equations and Inequalities

**Students will solve one variable two-step equations and inequalities using a variety of materials while working independently and collaboratively in learning stations.**

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From Dogs/Not Dogs to Prisms/Not Prisms

Students will work in pairs, groups, and independently to sort and classify 2D and 3D shapes using formal geometric language. Students will have opportunities to explore the work of other groups to expand their thinking and find new ways that shapes can be sorted and classified. Students will engage in multiple conversations using accurate geometrical language to ask questions, explore a variety of reasonings, and share generalizations about shapes.

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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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Crime Scene Two Steppers: Two-step word problems using multiplication and division

Students will collaboratively solve two-step real-world word multiplication and division problems by using a checklist. Students will also solve a two-step word problem by completing a hands-on group activity.

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Who Ran the Farthest?

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

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Colorful Fractions

**Students will represent fractions in multiple ways, such as pattern blocks, fraction strips, and number lines.**

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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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Mendelian Genetics Using Monohybrids

Students will work collaboratively through a fictitious, real-world scenario to determine the probability of each breeding pair of dogs producing offspring with the desired trait for a fictitious client.

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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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Types of Motion

Students will distinguish between and/or interpret the types of motion.

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Gravity

Using interactives, students will demonstrate that gravity is the force that governs the motion of our solar system.