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Middle School

Class Ideas: The Didax Blog

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Need new ideas? Looking for quick tips for teaching tricky concepts or organizing your math centers? Class Ideas is your go-to spot for inspiration, information and innovation and it’s an ideal way to stay current with the latest trends in math teaching and learning.

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If there are topics you’d like us to cover or you’d be interested in being a guest contributor, reach out to us and we’ll respond. Email us at hello@didax.com

Activities for the 100th Day of School

It’s hard to believe that 2018 is here, and we’re quickly approaching the 100th day of school. When I first started working with elementary school teachers, the concept of a 100 days celebration was foreign to me—it wasn’t something that we did in high school. Over time, I’ve come to appreciate this tradition and the mathematical opportunities it brings. In honor of 100 days of learning this school year, here are a few ideas for your 100th day activities. Try them out and let us know what you think!

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Slopeometer: The Teaching Aid that Invented Itself

As the proverb claims, Slopeometer was born out of necessity. It happened when I was teaching calculus but has since proven incredibly useful in a variety of ways--from a middle-school setting on up. The inspiration came when I kept tracing along the graph of a function while I asked my AP calculus students at each point to “imagine the slope of the tangent line” as it gradually changed--from negative to zero to positive--representing the values of the “derivative” of the function. When, after some puzzled looks from my students, I said “imagine a plumb bob, always pointing to the correct value as it changes slope…” the lightbulb moment happened. Over the weekend, after a trip to a building supply store, I was able to cut a semicircle out of a piece of plexiglass and mark it with appropriate numbers and fractions, then loosely fasten a gravity-activated indicator arm that did the pointing... and presto!--the Slopeometer. My students found it much easier to picture the process, often called “curve-sketching,” and apply it to their own work. My students found it so helpful. Slopeometer has since proven useful in many areas: from “best fit” regression lines, to estimating tangent ratios, to slope-fields for differential equations--but the device has shown to be especially useful when first introducing slope.

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Keep Learning Hands-On for Special Needs Students

Teachers have long relied on manipulatives to introduce new math and literacy concepts and enhance learning. Manipulatives are useful at all grade levels, from kindergarten (think Unifix Cubes) through high school (think algebra tiles), with students of all abilities, including and especially those with special needs and learning differences.

Jumbo Unifix® Cubes, sandpaper letters and numerals, and Omnifix cubes are just a few of the go-to resources used in many SpEd classrooms throughout the country.

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Virtual Manipulatives to Help Build Understanding

Watching my children and students work with manipulatives, I can see how hands-on experiences with math concepts help build a solid foundation for future learning. Often, teachers and students struggle with the transition from concrete manipulatives to a representation of the concept. Web- or app-based “virtual” manipulatives help to make this transition easier, although many teachers struggle to find a place for these tools in the classroom. Hands-on manipulatives are an excellent tool on their own, and they are even more powerful when coupled with virtual manipulatives. To support the use of these virtual tools, Didax has developed more than a dozen free virtual resources, available on our website. If you need some help getting started, read on for some ideas!

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Three Organizational Ideas to Maximize Instructional Time

As summer break draws to a close across the country, many teachers are using these last few weeks to get their classrooms organized and ready for the start of school. Perhaps you’re changing grades or schools, or just trying something new this year. You might even be sticking with a proven format for your classroom. Whatever your situation, getting ready for school to start is a lot of work!

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Base Ten Blocks: Your Most Important Tool

We often see children who struggle to perform even the most basic operations, even after repeated instruction. Without an understanding of base ten and place value, children are very limited in their ability to do ordinary arithmetic; that is, to add, subtract, multiply and divide. If, for example, they can only think of 48 crayons as 48 individual loose crayons, and 25 more crayons as 25 individual loose crayons, then the only strategies available for finding the total number of crayons are “counting all” (1, 2, . . ., 48, 49, 50, . . . 73) and “counting on” (48 - 49, 50, . . . , 73).

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Fractions are Only the Beginning

When first introduced to fractions, students in the intermediate grades sometimes struggle to make sense of equivalence and fraction operations. By helping students develop a deep understanding of the role of factors in comparison and fraction operations, we also prepare them for topics that follow and that build upon this knowledge.

Many of the tools used to introduce these early fraction concepts can also be used later to help students recognize the relationships between fractions and ratios, rates, and proportions. Fractions with Prime Factor Tiles is the perfect tool to introduce and explore these concepts.

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Conceptualizing Equivalent Fractions

Helping students build an understanding of fraction concepts is a challenge in the intermediate and middle grades. The pictorial representation is a critical tool for making the connection between the concept and the procedure. Conceptual understanding occurs when students can explain why the procedure works, showing that they have assimilated or integrated this understanding into their basic knowledge of fractions.

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