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TLJ Consulting Group

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An educator since 1979, Tammy L. Jones has worked with students from first grade through college. Currently, Tammy is consulting with individual school districts in training teachers on strategies for making content accessible to all learners. Writing integrations as well as literacy connections are foundational in everything Tammy does. A variety of resources are offered for mathematics Pre-K through 12 as well as several that are interdisciplinary. Electronic trainings are also offered.

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An educator since 1979, Tammy L. Jones has worked with students from first grade through college. Currently, Tammy is consulting with individual school districts in training teachers on strategies for making content accessible to all learners. Writing integrations as well as literacy connections are foundational in everything Tammy does. A variety of resources are offered for mathematics Pre-K through 12 as well as several that are interdisciplinary. Electronic trainings are also offered.
Modular Math Functions Level 5 Composition of Functions
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Modular Math Functions Level 5 Composition of Functions

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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!
Modular Math Functions Level 3 Verbal Descriptions and Linear Functions
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Modular Math Functions Level 3 Verbal Descriptions and Linear Functions

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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!
Fermi Problems and Questioning
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Fermi Problems and Questioning

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Today’s teachers are pushed for time to develop the level of understanding with content as well as the levels of expertise with the Standards for Mathematical Practice in the typical mathematics classroom. Fermi problems provide an engaging platform for fostering students’ critical thinking, problem-solving, estimating, modelling, and questioning skills. And they can be implemented in such a way as not to detract from the limited class time teachers have available. Fermi problems can be embedded in daily instruction to help students develop these important skills. This model of implementation does not require a large amount of additional time to be spent but fits seamlessly into daily instruction. A power point for classroom use is provided as well as facilitation notes supporting the initial process for implementing a Fermi problem in your daily instruction. From the first journaling assignment to the final check phase students will engage in writing, posing questions that need to be answered in order to “solve” the Fermi problem, developing a model to be used in determining an answer, applying the model, and reflecting on the outcomes. Activity, PowerPoint Presentation This resource is good for students with dyslexia and language-based learning deficiencies.
Fermi Problems and Questioning
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Fermi Problems and Questioning

(1)
Today’s teachers are pushed for time to develop the level of understanding with content as well as the levels of expertise with the Standards for Mathematical Practice in the typical mathematics classroom. Fermi problems provide an engaging platform for fostering students’ critical thinking, problem-solving, estimating, modelling, and questioning skills. And they can be implemented in such a way as not to detract from the limited class time teachers have available. Fermi problems can be embedded in daily instruction to help students develop these important skills. This model of implementation does not require a large amount of additional time to be spent but fits seamlessly into daily instruction. A power point for classroom use is provided as well as facilitation notes supporting the initial process for implementing a Fermi problem in your daily instruction. From the first journaling assignment to the final check phase students will engage in writing, posing questions that need to be answered in order to “solve” the Fermi problem, developing a model to be used in determining an answer, applying the model, and reflecting on the outcomes. Activity, PowerPoint Presentation This resource is good for students with dyslexia and language-based learning deficiencies.
Pascal's Triangle An Introduction to Number Patterns - Rooster's Off to See the World
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Pascal's Triangle An Introduction to Number Patterns - Rooster's Off to See the World

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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. One interesting and important concept in mathematics is Pascal’s Triangle. The combination of Rooster's Off to See the World and the related mathematical concepts that can be found in Pascal’s Triangle allows students a fun, unique, and engaging venue for developing mathematical literacy. 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!
Geometry A Study of Pythagoras
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Geometry A Study of Pythagoras

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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.
Geometry A Study of Pythagoras
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Geometry A Study of Pythagoras

(0)
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.
Multiple Representation Match Quadratic Functions
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Multiple Representation Match Quadratic Functions

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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!
Cubing & Think Dots Secondary: Functions
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Cubing & Think Dots Secondary: Functions

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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!
Geometric Primary Cubing and Think Dots
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Geometric Primary Cubing and Think Dots

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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 four cubes. One cube has geometric shapes pictured. Another cube has numerals, another cube has number words, and a fourth cube has shape names. There are a variety of activities that students can engage in on three sets of 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!
Assorted Number Charts 10-1000 1-2-4 per page
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Assorted Number Charts 10-1000 1-2-4 per page

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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. This 59-page packet offers aids for investigations from a 10 frame, 20 frame, 100 chart, 300 chart, up to a 1000 chart (counting by 10s) support students as they are further developing their understandings of the base ten number system. Multiple charts per page are provided that will fit nicely into the Mathematician’s Notebook. 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!
Using Trade Books in the Secondary CR: The Number Devil, A Mathematical Adventure
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Using Trade Books in the Secondary CR: The Number Devil, A Mathematical Adventure

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Perfect resource for RtI/Intervention, small group instruction, or learning stations. Incorporating literature into the mathematics classroom at any level can increase student engagement, as well as support ELL/ESL students. Contains 24 pages with over 20 assorted activities, A MUST HAVE book for all secondary teachers. Several activity sheets and blackline masters are included as well as tables identifying keywords, topics, and suggested manipulatives. Book not included.
Writing, Vocabulary & Literacy in Mathematics: Ratios & Proportional Reasoning
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Writing, Vocabulary & Literacy in Mathematics: Ratios & Proportional Reasoning

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Students learn mathematics more effectively and more deeply when reading and writing is directed at learning mathematics. (Bossé and Faulconer 2008) This packet includes four activities that target foundational components for developing understandings and building fluency with key mathematical topics: Ratios & Proportional Reasoning. Vocabulary and writing are targeted and facilitation notes are provided to support making mathematics content accessible to all learners. Templates and additional resources are provided. 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!
Writing, Vocabulary & Literacy in Mathematics: Quadratic Functions
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Writing, Vocabulary & Literacy in Mathematics: Quadratic Functions

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Students learn mathematics more effectively and more deeply when reading and writing is directed at learning mathematics. (Bossé and Faulconer 2008) This packet includes four activities that target foundational components for developing understandings and building fluency with key mathematical topics: Quadratic Functions. Vocabulary and writing are targeted and facilitation notes are provided to support making mathematics content accessible to all learners. Templates and additional resources are provided. 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!
Writing, Vocabulary & Literacy in Mathematics: Linear Functions
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Writing, Vocabulary & Literacy in Mathematics: Linear Functions

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Students learn mathematics more effectively and more deeply when reading and writing is directed at learning mathematics. (Bossé and Faulconer 2008) This packet includes four activities that target foundational components for developing understandings and building fluency with key mathematical topics: Linear Functions. Vocabulary and writing are targeted and facilitation notes are provided to support making mathematics content accessible to all learners. Templates and additional resources are provided. 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!
Writing, Vocabulary & Literacy in Mathematics: Probability
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Writing, Vocabulary & Literacy in Mathematics: Probability

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Students learn mathematics more effectively and more deeply when reading and writing is directed at learning mathematics. (Bossé and Faulconer 2008) This packet includes four activities that target foundational components for developing understandings and building fluency with key mathematical topics: Probability. Vocabulary and writing are targeted and facilitation notes are provided to support making mathematics content accessible to all learners. Templates and additional resources are provided. 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!
Right Triangles and Trigonometry: Writing, Vocabulary & Literacy in Mathematics
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Right Triangles and Trigonometry: Writing, Vocabulary & Literacy in Mathematics

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Students learn mathematics more effectively and more deeply when reading and writing is directed at learning mathematics. (Bossé and Faulconer 2008) This packet includes four activities that target foundational components for developing understandings and building fluency with key mathematical topics: Right Triangles and Trigonometry. Vocabulary and writing are targeted and facilitation notes are provided to support making mathematics content accessible to all learners. Templates and additional resources are provided. 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!
Writing Prompts for High School Mathematicians
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Writing Prompts for High School Mathematicians

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This packet offers 11 diverse opportunities for writing in mathematics with over 40 individual prompts for primary 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.
Fire Truck to the Rescue
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Fire Truck to the Rescue

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Secondary students participate in a kinesthetic activity that reviews distance in relation to rate and time as well as a study of slope in relation to a contextual example. Students will use a three-dimensional experience to connect on two-dimensional space. Student reporting sheet, group observation sheet, review probes and class power point are provided. This resource is good for students with dyslexia and language-based learning deficiencies.