One of the primary works of the secondary mathematician is building functional fluency. NCTM describes “representation” as referring to both a process and a product. So mathematical representations include all the different ways that students depict their thinking as well as the processes they use to put their thinking into those forms. Representations have often been taught as an end in and of themselves, most as essential elements in supporting students’ understanding. When students gain access to mathematical representations and the ideas they express they acquire a set of tools that significantly expand their capacity to model and interpret physical, social, and mathematical phenomena. This activity takes quadratic functions, with the same domain set, and represents them through verbal, tabular, graphical, symbolic, and set representations. There are six sets of cards, each with 5 representations with facilitation notes. This resource is good for students with Dyslexia and language-based learning deficiencies. We'd like to hear about your experience with our resources. Just give it a star rating then tell us what you think, simple as that!

Whether a young mathematician is developing number sense or a secondary mathematician is developing functional fluency, multiple representations play a pivotal role. The Multiple Representation Activities resources are available to support building these fluencies. Also, using an adaptation of the classic Frayer model applied to mathematical representations supports building these fluencies at the point of instruction. The Multiple Representation Model can be used as a note-taking guide, as an assessment probe, or as a spiraling review. Five representations are given for each model. There is also a set that is given two per page to facilitate use in The Mathematicians’ Notebook. Another representation resource is the Multiple Representation Rectangle. This allows several spaces in which students can work with the various representations. There is also a two per page version, although the regular version does fit in The Mathematician’s Notebook. This resource is good for students with Dyslexia and language-based learning deficiencies. We'd like to hear about your experience with our resources. Just give it a star rating then tell us what you think, simple as that!

NCTM describes “representation” as referring to both a process and a product. So mathematical representations include all the different ways that students depict their thinking as well as the processes they use to put their thinking into those forms. Representations have often been taught as an end in and of themselves, most as essential elements in supporting students’ understanding. When students gain access to mathematical representations and the ideas they express they acquire a set of tools that significantly expand their capacity to model and interpret physical, social, and mathematical phenomena. This activity takes the number 6 and represents it through a concrete manipulative, the written symbol, a verbal symbol, a diagram, picture, graph, drawing, or table, and an algebraic representation with a mathematical sentence. There is also a contextual problem for the students to work through. There are 5 sets of cards, each with 6 representations with facilitation notes. This resource is good for students with Dyslexia and language-based learning deficiencies. We'd like to hear about your experience with our resources. Just give it a star rating then tell us what you think, simple as that!

NCTM describes “representation” as referring to both a process and a product. So mathematical representations include all the different ways that students depict their thinking as well as the processes they use to put their thinking into those forms. Representations have often been taught as an end in and of themselves, most as essential elements in supporting students’ understanding. When students gain access to mathematical representations and the ideas they express they acquire a set of tools that significantly expand their capacity to model and interpret physical, social, and mathematical phenomena. This activity takes the number 5 and represents it through a concrete manipulative, the written symbol, a verbal symbol, a diagram, picture, graph, drawing, or table, and an algebraic representation with a mathematical sentence. There is also a contextual problem for the students to work through. There are 5 sets of cards, each with 6 representations with facilitation notes. This resource is good for students with Dyslexia and language-based learning deficiencies. We'd like to hear about your experience with our resources. Just give it a star rating then tell us what you think, simple as that!

NCTM describes “representation” as referring to both a process and a product. So mathematical representations include all the different ways that students depict their thinking as well as the processes they use to put their thinking into those forms. Representations have often been taught as an end in and of themselves, most as essential elements in supporting students’ understanding. When students gain access to mathematical representations and the ideas they express they acquire a set of tools that significantly expand their capacity to model and interpret physical, social, and mathematical phenomena. This activity takes the number 8 and represents it through a concrete manipulative, the written symbol, a verbal symbol, a diagram, picture, graph, drawing, or table, and an algebraic representation with a mathematical sentence. There is also a contextual problem for the students to work through. There are 5 sets of cards, each with 6 representations with facilitation notes. This resource is good for students with Dyslexia and language-based learning deficiencies. We'd like to hear about your experience with our resources. Just give it a star rating then tell us what you think, simple as that!

There are many uses for glyphs. They are often used for students to share information about themselves. While the glyphs are being created, students are engaged with other topics such as counting, literacy, geometric shapes, etc. A traditional snowman glyph legend and template is included. Extending the idea of “reading” a glyph and connecting it to problem solving creates some interesting and rich tasks for students. The following set of glyphs can be used in centers or during instruction to help develop students’ observation skills, logical reasoning and problem-solving skills. This resource is good for students with Dyslexia and language-based learning deficiencies. We'd like to hear about your experience with our resources. Just give it a star rating then tell us what you think, simple as that!

Working toward functional fluency is a major goal of secondary mathematicians. As students progress through the six levels of Modular Math: Functions they will have opportunities to develop the definition for a function as well as to work with and understand the notation and symbolic representations for various functions. Technology will be incorporated as they investigate both linear functions and quadratic functions. Verbal, one-to-one, onto, and diagrammatic representations of functions will be studied as well as composition. Modular Mathematics is an alternative for students and teachers who would like something different or something additional to support the building of function fluency in secondary mathematicians. This is not your usual collection of notes, thoughts, writing assignments or activities. A student journal template is provided as well as a concept exploration graphic organizer. This resource is good for students with Dyslexia and language-based learning deficiencies. We'd like to hear about your experience with our resources. Just give it a star rating then tell us what you think, simple as that!

Writing is one of the parts of language that students are developing. For some students, ESL/ELL for example, what they know about a topic may exceed their ability to communicate it through the written word. Students learn to write by writing. Writing needs to be original thought, not just copying something that someone else wrote. Therefore, it is imperative that opportunities are provided often for students to engage in writing about a variety of content. Students’ writing should make sense and be complete. Writing About offers a collaborative opportunity for small groups of students to work individually first to write about a concept and then to come together and putting their individual work into a paragraph about the topic. A word cloud of The Red Pyramid - The Kane Chronicles- associated words is given as a prompt for words and ideas. Facilitation notes are provided as well as student activity sheet. This is a good activity for struggling students and ESL/ELL who may need some support in writing. This resource is good for children with Dyslexia and language-based learning deficiencies. We'd like to hear about your experience with our resources. Just give it a star rating then tell us what you think, simple as that!

Cubing and think dots are two strategies for differentiation in the classroom. Traditionally students are given a cube with a variety of activities or tasks at a given level. Different cubes can contain different levels of tasks and activities. Think dots work in a similar way. Cards with a certain number of dots are provided as well as a number cube. Students roll the number cube and work the associated activity or task on the card with the corresponding number of dots. Again, tasks and activities are varied or leveled to meet the needs of the students. In this adaptation of a cubing and think dots activity, there are two cubes. One cube has representation of fractions. Another cube has actions to perform with fractions. There is a variety of activities that students can engage in on the set of 6 think dot cards. This resource is good for children with Dyslexia and language-based learning deficiencies. We'd like to hear about your experience with our resources. Just give it a star rating then tell us what you think, simple as that!

Cubing and think dots are two strategies for differentiation in the classroom. Traditionally students are given a cube with a variety of activities or tasks at a given level. Different cubes can contain different levels of tasks and activities. Think dots work in a similar way. Cards with a certain number of dots are provided as well as a number cube. Students roll the number cube and work the associated activity or task on the card with the corresponding number of dots. Again, tasks and activities are varied or leveled to meet the needs of the students. In this adaptation of a cubing and think dots activity, there are two cubes. One cube has representation of functions. Another cube has function types. There are a variety of activities that students can engage in on set of 6 think dot cards. This resource is good for students with Dyslexia and language-based learning deficiencies. We'd like to hear about your experience with our resources. Just give it a star rating then tell us what you think, simple as that!

Cubing and think dots are two strategies for differentiation in the classroom. Traditionally students are given a cube with a variety of activities or tasks at a given level. Different cubes can contain different levels of tasks and activities. Think dots work in a similar way. Cards with a certain number of dots are provided as well as a number cube. Students roll the number cube and work the associated activity or task on the card with the corresponding number of dots. Again, tasks and activities are varied or leveled to meet the needs of the students. In this adaptation of a cubing and think dots activity, there are two cubes. One cube has constraints for the actions performed on expressions. Another cube has actions to perform on expressions. Students also use one or two number cubes or they can use dominoes to create the quantities determined by the constraint cube. There is a variety of activities that students can engage in on set of 6 think dot cards. A blank set of think dot cards is provided for the teacher to fill in as needed – for example – choosing particular problems from a set in a text. We'd like to hear about your experience with our resources. Just give it a star rating then tell us what you think, simple as that!

Young mathematicians, while learning to count, are also building understandings of our base ten number system. As children are being introduced to the language of mathematics, number charts can offer support. Through investigations of and discovery of number patterns children develop proficiency and fluency with the language of mathematics, counting, and composing numbers. Initial activities as well as samples of 20, 50, and 100 charts are provided. Multiple charts per page, as well as blank charts, offer teachers diversity in uses. The two per page and four per page number charts fit nicely into the Mathematician’s Notebook. This activity is great for children with Dyslexia and language-based learning deficiencies. We would love you know what you think; please take a few minutes to review this resource. Thank you!

Young mathematicians, while learning to count, are also building understandings of our base ten number system. Number charts support the investigation of and discovery of many number patterns as well as serve as an aid in developing fluencies with composition and decomposition of numbers. These investigations can be extended to a 1000 chart as students are further developing their understandings of the base ten number system with counting by 10’s and 100’s. Many activities are provided as well as samples of 20 and 50 charts, 100 charts and 1000 charts. Multiple charts per page are provided as well as blank charts. The two per page and four per page will fit nicely into the Mathematician’s Notebook. This resource is useful for students with Dyslexia and language-based learning deficiencies. We'd like to hear about your experience with our resources. Just give it a star rating then tell us what you think, simple as that!

A variety of ideas and resources will be shared that can be used to support retention of material as well as enrichment. The resources and activities engage students during the summer break so they are ready to hit the ground running as they return to school in the fall.

NCTM’s gift to the world is their Illuminations website. This webinar gives an overview of the website and all the treasures it has for teachers of all ages and all levels.

Understanding multiple representations are one way that students show evidence of fluency with a topic. See how using multiple representations while investigating place value can help students deepen their understandings of this foundational topic. Several pieces of children’s literature will be shared as well.

Patterns anyone? Mathematics has at its heart patterns. Students must be provided multiple opportunities to discover and find patterns on their own if they are to make meaning and develop understandings. See how various types of patterns can be explored using the TI-15.

A look at situations that are meaningful to students and that use inequalities. A look at the two concepts on which inequalities are based will be shared as well as a variety of applications using inequalities.

Twelve is the second teen number that beginning mathematicians encounter. Unlike eleven, the number twelve does have a more prominent role in our daily lives. There are usually a dozen eggs in an egg carton at the grocery. There are 12 hours on the face of a clock. In the English Standard Measurement System there are 12 inches in a foot. So today is all about 12. We'd really like to hear about your experience with our resources. Just give it a star rating then tell us what you think, simple as that!

For the last day of the 12 Day of Mathematics, secondary students will look at abundant numbers – since the 12 Days of Christmas implies an abundance of gifts! (See Intermediate/MS activity if more appropriate for your students). We'd really like to hear about your experience with our resources. Just give it a star rating then tell us what you think, simple as that!