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. There are six levels in the unit. Level 1: Introduction, Level 2: Graphs, Level 3: Verbal Descriptions; Linear Functions, Level 4: One-to-One Functions; Onto Functions, Level 5: Composition of Functions, and Level 6: Quadratics. 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!

Do trade books have a place in today’s mathematics classroom? Yes! Incorporating literature into the mathematics classroom at any level can increase student engagement, make mathematics come alive and have meaning, and can help to differentiate instruction as well as support ELL/ESL students. Present mathematics in a way that will make mathematics more accessible and understandable for students at all levels. This resource contains six suggested activities and one "My Fraction Diary" activity to engage students AS YOU READ, for students to experience BEING A MATHEMATICIAN, and provide authentic OPPORTUNITIES FOR WRITING. The suggested activities can be adapted for a large or small group, centers, learning stations and for intervention. This resource is good for students with 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! Book not included.

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!

Rooster's Off to See the World, by Eric Carle, is a beloved children’s book. Not only does the story engage children it can also serve as a foundation for many mathematical investigations for primary mathematicians. Making simple number sentences and equations can be challenging for young mathematicians. Extending to unknown and comparison situations is pivotal for children to build solid fluency with their initial number facts. Connecting this study to a familiar story makes these activities more engaging for students. Additional literacy connections are suggested for use with introducing the concept of doubles. Questions are provided that can be used during the development of the activity to determine the desired focus of the lesson. It is very important that young mathematicians understand that numbers are quantities represented by numerals, pictures, numerals, etc. Materials are listed for each of the activities. The 30 pages include both black line masters as well as color masters have been provided. Suggestions for preparing the materials have been noted as well to facilitate making classroom sets for long term use. 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!

Do trade books have a place in today’s mathematics classroom? Yes! Incorporating literature into the mathematics classroom at any level can increase student engagement, make mathematics come alive and have meaning, and can help to differentiate instruction as well as support ELL/ESL students. Present mathematics in a way that will make mathematics more accessible and understandable for students at all levels. This resource contains six suggested activities to engage students AS YOU READ, for students to experience BEING A MATHEMATICIAN, and provide authentic OPPORTUNITIES FOR WRITING. The suggested activities can be adapted for a large or small group, centers, learning stations and for intervention. This resource is good for students with 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! Book not included.

Writing is one of the parts of language that young mathematicians are developing along with their reading, talking, and listening skills. For many students what they know about mathematics may exceed their ability to communicate it through the written word. Children 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 young children to engage in writing about mathematics. For the teacher, providing an environment that is rich in mathematical language is a priority. The following four learning station/center ideas can be first discussed in the classroom in a large group or small group setting before rotating out to an independent learning center. Facilitation notes are provided below for each station. The ideas presented are but a start for the many ways in which these activities can be adapted. Most of the masters have been made so they can be easily used in The Mathematician’s Notebook.

Do trade books have a place in today’s mathematics classroom? Yes! Incorporating literature into the mathematics classroom at any level can increase student engagement, make mathematics come alive and have meaning, and can help to differentiate instruction as well as support ELL/ESL students. Present mathematics in a way that will make mathematics more accessible and understandable for students at all levels. This resource contains six suggested activities to engage students AS YOU READ, for students to experience BEING A MATHEMATICIAN, and provide authentic OPPORTUNITIES FOR WRITING. The suggested activities can be adapted for a large or small group, centers, learning stations and for intervention. This resource is good for students with 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! Book not included.

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 linear functions, with the same domain set, and represents them through verbal, tabular, graphical, symbolic, and set representations. There is also a contextual problem for each for the students to work through. There are six 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!

Do trade books have a place in today’s mathematics classroom? Yes! Incorporating literature into the mathematics classroom at any level can increase student engagement, can make mathematics come alive as well as have meaning, and can help to differentiate instruction as well as support ELL/ESL students. Present mathematics in a way that will make mathematics more accessible and understandable for students at all levels. This resource contains nine suggested activities to engage students AS YOU READ, for students to experience BEING A MATHEMATICIAN, and provide students authentic OPPORTUNITIES FOR WRITING. The suggested activities can be adapted for large or small groups, centers, learning stations and for intervention. The Life of Fibonacci is A MUST HAVE book for all teachers and is NOT included in this download. This resource is good for students with 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!

Do trade books have a place in today’s mathematics classroom? Yes! Incorporating literature into the mathematics classroom at any level can increase student engagement, make mathematics come alive and have meaning, and can help to differentiate instruction as well as support ELL/ESL students. Present mathematics in a way that will make mathematics more accessible and understandable for students at all levels. This resource contains seven suggested activities to engage students AS YOU READ, for students to experience BEING A MATHEMATICIAN, and provide authentic OPPORTUNITIES FOR WRITING. The suggested activities can be adapted for a large or small group, centers, learning stations and for intervention. This resource is good for students with 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! Book not included.

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 10 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!

This packet offers 10 diverse opportunities for writing in mathematics with over 35 individual prompts for intermediate students. Writing in mathematics involves more than just putting word to paper. Words need to be carefully chosen to communicate ideas and concepts clearly. Writing involves all of the language of mathematics. Reading, vocabulary, notations and symbols, diagrams, charts, graphs, and metacognition all serve a role as students are engaged in writing in mathematics. Many and varied opportunities need to be provided for students to engage in original thought writing. And remember, just because a students can say something in words, it in no way shows that they can write those same thoughts. Those are two different skill sets. Writing also provides opportunities for the verbal learner to excel as well as the creative learner. This beginning assortment of writing prompts can be adapted as needed for the course, topic, and level of the students. The important thing is to write! Just asking, “Why?”, “How did you think about that?”, “What could be another strategy used here?”, and “Is your conclusion reasonable?” requires students to engage in more than just procedural mathematics. On the back page is a sample of how journal prompt cards can be made for learning station facilitation or to print on labels for ELL/ESL and struggling learners and beginning writers.

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!

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. Investigating patterns is the focus of this set of activities. A literacy connection as well as a technology integration is provided. Samples of 20, 50 charts, 100 charts and 1000 charts are given. Multiple charts per page are provided as well as blank charts or activity extensions. The two per page and four per page will fit nicely into the Mathematician’s Notebook.

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!

Rooster's Off to See the World by Eric Carle, is a beloved children’s book. Not only does the story engage children, it can also serve as a foundation for many mathematical investigations for primary mathematicians. These lessons draw from the counting and cardinality standards. Children love playing with dominoes. These two sets of dominoes offer children a chance to practice their subitizing skills as well as strengthening their sense of number. Dominoes are great for young children because they are so simple to use. Questions are provided that can be used during the development of the activity to determine the desired focus of the lesson. It is very important that young mathematicians understand that numbers are quantities represented by numerals, pictures, numerals, etc. Materials are listed for each of the activities. The 10 pages include both black line masters as well as color masters have been provided. Suggestions for preparing the materials have been noted as well to facilitate making classroom sets for long term use. 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!

Do trade books have a place in today’s mathematics classroom? Yes! Incorporating literature into the mathematics classroom at any level can increase student engagement, make mathematics come alive and have meaning, and can help to differentiate instruction as well as support ELL/ESL students. Present mathematics in a way that will make mathematics more accessible and understandable for students at all levels. This resource contains seven suggested activities and "The King's Chessboard" activity to engage students AS YOU READ, for students to experience BEING A MATHEMATICIAN, and provide authentic OPPORTUNITIES FOR WRITING. The suggested activities can be adapted for a large or small group, centers, learning stations and for intervention. This resource is good for students with 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! Book not included.

Do trade books have a place in today’s mathematics classroom? Yes! Incorporating literature into the mathematics classroom at any level can increase student engagement, make mathematics come alive and have meaning, and can help to differentiate instruction as well as support ELL/ESL students. Present mathematics in a way that will make mathematics more accessible and understandable for students at all levels. This resource contains eight suggested activities to engage students AS YOU READ, for students to experience BEING A MATHEMATICIAN, and provide authentic OPPORTUNITIES FOR WRITING. The suggested activities can be adapted for a large or small group, centers, learning stations and for intervention. This resource is good for students with 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! Book not included.

Do trade books have a place in today’s mathematics classroom? Yes! Incorporating literature into the mathematics classroom at any level can increase student engagement, make mathematics come alive and have meaning, and can help to differentiate instruction as well as support ELL/ESL students. Present mathematics in a way that will make mathematics more accessible and understandable for students at all levels. This resource contains six suggested activities to engage students AS YOU READ, for students to experience BEING A MATHEMATICIAN, and provide authentic OPPORTUNITIES FOR WRITING. The suggested activities can be adapted for a large or small group, centers, learning stations and for intervention. This resource is good for students with 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!

Do trade books have a place in today’s mathematics classroom? Yes! Incorporating literature into the mathematics classroom at any level can increase student engagement, make mathematics come alive and have meaning, and can help to differentiate instruction as well as support ELL/ESL students. Present mathematics in a way that will make mathematics more accessible and understandable for students at all levels. This resource contains ten suggested activities to engage students AS YOU READ, for students to experience BEING A MATHEMATICIAN, and provide authentic OPPORTUNITIES FOR WRITING. The suggested activities can be adapted for a large or small group, centers, learning stations and for intervention. This resource is good for students with 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! Book not included with this resource.