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!

For the last day of the 12 Day of Mathematics, secondary students will look the abundance of gifts that were given over the course of the 12 days. They will calculate the total number of gifts given in all! And they will think of questions that might be raised when working on their calculations. 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!

Eleven is the first “teen” number beginning mathematicians encounter. Eleven is also the first 2-digit prime number. Older mathematicians will study other 2-digit prime numbers using the Sieve of Eratosthenes. 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!

Eleven is the first “teen” number beginning mathematicians encounter as well as the first double digit prime number. The K3 and Intermediate/MS packet have activities associated with those themes if needed to support the needs of your students. Secondary students will be investigating the connection between a previous topic - Pascal’s Triangle – and powers of 11. 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!

Eleven is the first “teen” number beginning mathematicians encounter. Today’s activity employs children’s literature and manipulatives. If possible, use the children’s book 12 Ways to Get to 11 by Eve Merriam. Have Cuisenaire rods, unifix cubes, or other manipulatives on hand for students as needed. Based upon the individual needs of your children show them the title and allow them to work in pairs to see how many of the 12 ways they can discover to make 11. Alternatively, as you read the story allow the children time to model the various compositions of 11 that are shown in the story. Encourage children to use various representations for their models – drawings, words, equations, sketches of their manipulative models, etc. This activity is good for students with dyslexia and language-based learning deficiencies. 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!

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!

This packet offers 11 diverse opportunities for writing in mathematics with over 30 individual prompts for middle school 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 common fractions and represents them through a concrete manipulative, a verbal symbol, a fraction model, a number line representation, and a symbolic representation. 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!

Writing is one of the parts of language that secondary mathematicians are still developing. For some students, ESL/ELL for example, what they know about mathematics 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 mathematics. As the teacher, providing an environment that is rich in mathematical language is a priority. Students’ writing should make sense and be complete. This will develop over time for secondary mathematicians as they have more opportunities to write about their experiences. 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 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.

Writing is one of the parts of language that secondary mathematicians are still developing. For some students, ESL/ELL for example, what they know about mathematics 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 mathematics. As the teacher, providing an environment that is rich in mathematical language is a priority. Students’ writing should make sense and be complete. This will develop over time for secondary mathematicians as they have more opportunities to write about their experiences. 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 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.

Writing is one of the parts of language that secondary mathematicians are still developing. For some students, ESL/ELL for example, what they know about mathematics 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 mathematics. As the teacher, providing an environment that is rich in mathematical language is a priority. Students’ writing should make sense and be complete. This will develop over time for secondary mathematicians as they have more opportunities to write about their experiences. 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 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.

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!

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!

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!

One Duck Stuck, by Phyllis Root, 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 as well as those dealing with positional relationships. 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 12 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. 6 blackline and color masters 4 pages of facilitation notes and sample questions 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!

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!

Primary mathematicians first model “put together” and “take apart” situations using concrete objects, drawings, etc. These concepts are then expanded to composing and decomposing numbers additively. A connection to students’ prior work with building sets is important as students are developing fluencies with their addition and subtractions facts. Children need many opportunities to experience these situations. Incorporating seasonal manipulatives allow children to practice these mathematical ideas in a contextual setting. To effectively facilitate these activities, be sure to cover the common addition and subtraction situations found in Table 1, CCSSM, page 88. Color masters are provided for both activities, the seasonal objects as well as the counters. Hyperlinks are also provided for manipulatives when applicable. 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!

Pentominoes, like dominoes, have many uses in the mathematics classroom. A pentomino is simply a geometric shape that has been formed by placing five congruent squares adjacent to each other. The squares must connect on at least one side and there can be no corner or partial side. Included in this 33 page packet are several activities and investigations for primary students through secondary students. Blackline masters for pentomino letter charts as well as pentomino letters to fit the 100 chart for printing on 11” X 17” paper for the number chart investigations are included. Resources with links are also embedded. This resource is great for students with dyslexia and language-based learning deficiencies. Please take a moment to review this resource.

Primary mathematicians first model “put together” and “take apart” situations using concrete objects, drawings, etc. These concepts are then expanded to composing and decomposing numbers additively. A connection to students’ prior work with building sets is important as students are developing fluencies with their addition and subtractions facts. Children need many opportunities to experience these situations. Incorporating seasonal manipulatives allow children to practice these mathematical ideas in a contextual setting. To effectively facilitate these activities, be sure to cover the common addition and subtraction situations found in Table 1, CCSSM, page 88. This resource contains color masters for both activities, the seasonal objects as well as the counters. Hyperlinks are also provided for manipulatives when applicable. 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!