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.

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.

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 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. Nine seasonal and topical activities are included. Color masters are provided for both tables for each of the 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!

Students need many experiences with estimating in their early years. Gumball Estimations offers students an opportunity to connect literacy while kinesthetically engaging in estimation experiences. A variety of suggested facilitation questions are provided as well as extensions to the main activity. Blackline masters are provided for use as needed. Note that the Gumball Estimations Mat is formatted to print on 11X17 paper to facilitate working with small hands. This resource is good for students with dyslexia and language-based learning deficiencies.

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.

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.

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.

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 and give meaning to the student, and can help to differentiate instruction as well as support ELL/ESL students. See several samples of the mathematics that can be experienced by students through well-known pieces of children’s literature. Present mathematics in a way that will be more accessible and understandable for students at all levels. This resource contains ten suggested activities plus "Let's Go Fishing" activity 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. Five Silly Fishermen 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, just give it a star rating then tell us what you think, simple as that!

“Difficulty with fractions (including decimals and percents) is pervasive and is a major obstacle to further progress in mathematics, including algebra.” (National Math Advisory Panel, 2008.) Fractions are the earliest topic in school mathematics where educators agree that students fail and teachers struggle to instruct. This activity Packet is a combination of all other Pattern Block Activity Packets, Pattern Block Fractions: Investigations with Basic Blocks, Pattern Block Fractions: Investigations with Basic Blocks and Double Hex and Chevron, Getting to Know Your Pattern Blocks, Addition/Subtraction with Pattern Blocks: Investigation 1, Addition/Subtraction with Pattern Blocks: Investigation 2 This activity packet is good for students with dyslexia and language-based learning deficiencies.

“Difficulty with fractions (including decimals and percents) is pervasive and is a major obstacle to further progress in mathematics, including algebra.” (National Math Advisory Panel, 2008.) Fractions are the earliest topic in school mathematics where educators agree that students fail and teachers struggle to instruct. This activity packet is good for students with dyslexia and language-based learning deficiencies.

“Difficulty with fractions (including decimals and percents) is pervasive and is a major obstacle to further progress in mathematics, including algebra.” (National Math Advisory Panel, 2008.) Fractions are the earliest topic in school mathematics where educators agree that students fail and teachers struggle to instruct. This activity packet is good for students with dyslexia and language-based learning deficiencies.

“Difficulty with fractions (including decimals and percents) is pervasive and is a major obstacle to further progress in mathematics, including algebra.” (National Math Advisory Panel, 2008.) Fractions are the earliest topic in school mathematics where educators agree that students fail and teachers struggle to instruct. This activity packet is good for students with dyslexia and language-based learning deficiencies.

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. They are especially popular with elementary teachers. But they do have a place in the secondary grades. A traditional snowman glyph with secondary math legend and template is included as an example of an adaptation for high school from a primary level activity. Extending the idea of “reading” a glyph and connecting it to graphing functions creates some interesting and rich tasks for students. The following set of glyph templates can be used in centers or during instruction to help develop students’ observation skills, logical reasoning and problem solving skills and as formative assessment probes. There is one set with sunglasses or a blank set of circles to create faces and hair, etc. of choice. 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!

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!

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!

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.

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!