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## Ready, Set, Launch!—The Engineering Cycle for Productive Struggle

We implemented a STEM task that highlights the engineering cycle and engages students in productive struggle. Students problem solved in productive ways and saw tangible benefits of revising their work to achieve mathematical goals.

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## Pythagoras, PVC Pipes, and Pianos

This practitioner article describes a lesson carried out in a high school classroom at the conclusion of a unit on exponential growth. Two teachers use a series of music-related activities to engage students in using and connecting multiple representations of exponential growth while exploring musical frequencies on a piano.

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## Escape Room Math: Luna's Lines

An escape room can be a great way for students to apply and practice mathematics they have learned. This article describes the development and implementation of a mathematical escape room with important principles to incorporate in escape rooms to help students persevere in problem solving.

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## Fractions are Numbers, Too!

Student understanding of fractions as numbers, a foundational element of fraction sense and a critical prerequisite of work with operations, is explored through real-world connections.

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## Sharing Cookies: A Case Study

Gain insight into students' understanding of the concept of fraction as operator as well as their reliance on rote procedures to convert fractions to decimals.

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## Systematic Interventions for Teaching Ratios

Consider this research-based intervention approach to ratio using concrete, semiconcrete, and abstract representations to help students who struggle with this concept.

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## Orange You Glad I DID Say “Fraction Division”?

Students explore multiplicative comparisons and the meaning of remainders using their own concrete representations, including orange wedges.

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## Cartoon Corner: Let's Talk Turkey

A cartoon that explores how much turkey to serve is coupled with a full-page activity sheet.

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## Radical Thoughts on Simplifying Square Roots

A geometric approach using exact square manipulatives can promote an understanding of the algorithm to dismantle radical expressions.

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## Cartoon Corner: When Will I Ever Use Math?

A cartoon highlighting occupational uses of mathematics is coupled with a full-page activity sheet.