The Pythagorean Theorem is one of the foundational studies in the secondary years. It is one of the mathematical formulas that many people remember from their mathematical journey in school. Even the Scarecrow in The Wizard of Oz took a stab at the Pythagorean Theorem when he got his diploma. The Pythagorean Theorem, once introduced in middle school, serves as the foundation for the distance formula, the special right triangle ratios, as well as the unit circle in Trigonometry. Typically students are simply given the formula and told to use it. In this study, students investigate and discover the relationships for themselves. A different approach to a proof is offered. It is a dissection proof. Other famous historical proofs are referenced as well, even one from a Unites States President! In this 30+ page packet (plus powerpoint) there are two different literacy connections, opportunities for writing, two different investigations for discovery of the Pythagorean Theorem, a dissection proof, activities for vocabulary, a graphic organizer for students to organize their findings in, several tasks that allow students to think deeper about ideas, and three application probes. Directions for performing the dissection proof on Geometer’s Sketchpad® is included but can be easily adapted for the TI-Nspire®. Centimeter paper, engineering graph paper, and color masters for the dissection proof are also included. A powerpoint for classroom use during the study of this topic is also included. This collection of activities and investigations can be used from middle school through review for Advanced Algebra and Trig.

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.

Literacy and art support students’ study of money. This packet contains four literacy connections: Where the side Walk Ends The Penny Pot A Quarter from the Tooth Fairy Pigs will be Pigs Activities and suggestions for working with students on developing an understanding of money with the included activities and task cards as well as utilizing items that are your classroom. Packet includes: questions, activity extensions, color masters and task cards

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!

Primary mathematicians need opportunities to work with data. Making connections to measurement and literature support building deeper understandings. Five activities, some with literacy connections, five formative assessments, and two investigations are provided. 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 nine 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 younger mathematicians are still developing along with their reading, talking, and listening skills. 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 students to engage in writing about mathematics. As the teacher, providing an environment that is rich in mathematical language is a priority. 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.

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. The natural progression from counting and making comparisons is to composing and decomposing numbers. The earlier experiences with sets and the relationships between numbers laid the foundation for young mathematicians to learn about operating with numbers. Using operations to make sense of situations in their world or to describe events in their world helps young children build an understanding for the need for operations. The discovery of some basic properties, such as the commutative property of addition, also allow students to build strategies for working with progressively larger numbers as they move from kindergarten through second grade. 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 a familiar story allows 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. 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 25 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.

Writing is one of the parts of language that younger mathematicians are still developing along with their reading, talking, and listening skills. 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 students to engage in writing about mathematics. As the teacher, providing an environment that is rich in mathematical language is a priority. 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. For that reason, pictures, diagrams, and the use of manipulatives support the students’ efforts in communicating about their mathematical experiences. 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. Providing students a Mathematician's’ Notebook, if for nothing else but the development of a Glossary and a Journal, offers a place where students can record their thoughts and experiences as it chronicles their growth over time while on their mathematical journey. Students’ writing should include discussions about what they did or how they thought, why they thought or did what they did. Strategy names and correct mathematical language need to be included as appropriate. 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. 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 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.

Writing is one of the parts of language that younger mathematicians are still developing along with their reading, talking, and listening skills. 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 students to engage in writing about mathematics. As the teacher, providing an environment that is rich in mathematical language is a priority. 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 younger mathematicians are still developing along with their reading, talking, and listening skills. 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 students to engage in writing about mathematics. As the teacher, providing an environment that is rich in mathematical language is a priority. 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.

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 nine 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 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. Children benefit from using Five Frames and Ten Frames while learning basic number facts. Making ten is one of the key strategies young mathematicians need to experience as they are developing fluency with addition and subtraction. Students should have many opportunities to work with composing and decomposing numbers in a variety of ways. Connecting to a familiar story makes these activities more engaging for students. “How many?”, building and filing five frames and ten frames, and composing and decomposing numbers are all covered in these activities. 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 11 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.

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 "Creating a Fibonaci Spiral" 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.

Writing is one of the parts of language that younger mathematicians are still developing along with their reading, talking, and listening skills. 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 students to engage in writing about mathematics. As the teacher, providing an environment that is rich in mathematical language is a priority. 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 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. The natural progression from counting and making comparisons is to composing and decomposing numbers. The earlier experiences with sets and the relationships between numbers laid the foundation for young mathematicians to learn about operating with numbers. Using operations to make sense of situations in their world or to describe events in their world helps young children build an understanding for the need for operations. The discovery of some basic properties, such as the commutative property of addition, also allow students to build strategies for working with progressively larger numbers as they move from kindergarten through second grade. 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 a familiar story allows 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. 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 25 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. 16 blackline and color masters 8 pages of facilitation notes, sample questions, and extensions 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 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 younger mathematicians are still developing along with their reading, talking, and listening skills. 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 students to engage in writing about mathematics. As the teacher, providing an environment that is rich in mathematical language is a priority. 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. Geometry, Positional Words, Numbers, Addition & Subtraction, and Measurement are included. 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!