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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.
Twelve Days of Mathematics for Christmas-Day 9-Secondary
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Twelve Days of Mathematics for Christmas-Day 9-Secondary

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The number 9 is considered by many to be lucky and to be magical. Students of all ages can enjoy any of the vast selection of activities centered around the number 9 found in the K3 and Intermediate/MS packets. For secondary students I am taking this opportunity to share one of my favorite problems from a famous historical mathematics document: The 9 Chapters on Mathematical Art.
Twelve Days of Mathematics for Christmas-Day 4-Secondary
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Twelve Days of Mathematics for Christmas-Day 4-Secondary

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The number four is the next number for the 12 Days of Christmas. For secondary students a brief introduction to and investigation of 4th degree polynomials will be shared. An investigation that is adaptable for students with varying prior mathematical experiences is given. Student recording pages provided.
Getting Started with the Mathematician's Notebook (MNB) K-12
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Getting Started with the Mathematician's Notebook (MNB) K-12

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See how the use of a Mathematician's Notebook can change the way you teach as well as how your students learn. The Mathematician's Notebook.... 1. Becomes a dynamic place where language, data, and logical reasoning experiences operate jointly to form meaning for the student. 2. Helps students create an organized space for demonstrating their learning process. 3. Serves as a formative instructional tool as well as a portfolio of the students' learning experiences, which provides rich documentation for their thinking.
The 12 Days of Mathematics for Christmas-Day 1-K-3
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The 12 Days of Mathematics for Christmas-Day 1-K-3

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The number one is the number that beginning mathematics use to build the set of counting numbers, the Natural numbers. Young mathematicians need practice making one more and making one less. The number one is also the multiplicative identity. Check back every day to download all twelve days of Christmas Mathematics activities. This resource is also good for children with dyslexia and language-based learning deficiencies.
Twelve Days of Mathematics for Christmas-Day 4-K3
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Twelve Days of Mathematics for Christmas-Day 4-K3

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The number four is the next number for the 12 Days of Christmas. Beginning and younger mathematicians need many opportunities to communicate about the mathematics they are studying. Writing is often one challenge for younger mathematicians as well as developing problem solving skills. There are several tasks to choose from based upon the individual needs of your students. Task cards have been provided to facilitate differentiation and multiple uses.
Twelve Days of Mathematics for Christmas-Day 12-K3
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Twelve Days of Mathematics for Christmas-Day 12-K3

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Twelve is the second teen number that beginning mathematicians encounter. Unlike eleven, the number twelve does have a more prominent role in our daily lives. There are usually a dozen eggs in an egg carton at the grocery. There are 12 hours on the face of a clock. In the English Standard Measurement System there are 12 inches in a foot. So today is all about 12. 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!
Place Value Mat to thousands
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Place Value Mat to thousands

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Place value is the corner stone for building numeracy. Having a base ten mat that shows the verbal – both the place value and the name for the manipulative, the numerical, as well as the pictorial helps students build stronger connections and deepen their understanding as they work with place value. This is a mat for units, rods, flats, and cubes. There is a version also for legal paper.
Place value mat to hundreds
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Place value mat to hundreds

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Place value is the corner stone for building numeracy. Having a base ten mat that shows the verbal – both the place value and the name for the manipulative, the numerical, as well as the pictorial helps students build stronger connections and deepen their understanding as they work with place value. This is a mat for units, rods, and flats. There is also a version sized for legal paper.
Twelve Days of Mathematics for Christmas-Day 5-Secondary
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Twelve Days of Mathematics for Christmas-Day 5-Secondary

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The number five is the next number for the 12 Days of Christmas. Secondary students can choose from a variety of investigations all relating to circles. The most basic task is the classic circle in a square. I have also included a figure with various points still shown that some students may find beneficial as they are working. For an alternate task a circle has been circumscribed as well as inscribed in the square. For an interesting twist, have students study the figure and generate a list of questions that might be of interest based upon the figure. Again a figure with selected points has also been provided. Other tasks can be given to students based upon any of the other figures that have been included as well as researching Descartes' Circle Theorem.
Twelve Days of Mathematics for Christmas-Day 8-Secondary
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Twelve Days of Mathematics for Christmas-Day 8-Secondary

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Today students of all ages will play will working with one of my favorite mathematical topics of all time: Pascal’s Triangle! Secondary students, if they are not familiar with the triangle, can investigate the basic structure of the triangle using the 12 Days of Christmas as the backdrop. See the K3 activity for some questions/patterns that are appropriate for introductory work with the triangle. Blank triangles and work mats are also provided in the K3 activity pack. Be sure to have students first investigate the triangle and discover the basic pattern of creating the triangle before they move forward. The Intermediate/Middle School activity may be more appropriate for some students. Use it as needed to meet the individual needs of your students. This activity is also good for students with dyslexia and language-based learning deficiencies. Please leave a review.
Twelve Days of Mathematics for Christmas-Day 4-Secondary
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Twelve Days of Mathematics for Christmas-Day 4-Secondary

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The number four is the next number for the 12 Days of Christmas. For secondary students a brief introduction to and investigation of 4th degree polynomials will be shared. An investigation that is adaptable for students with varying prior mathematical experiences is given. Student recording pages provided.
Twelve Days of Mathematics for Christmas-Day 7-Intermediate-MS
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Twelve Days of Mathematics for Christmas-Day 7-Intermediate-MS

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For the seventh day students will be investigating patterns. If you think this activity is too challenging for your students to do with paper and pencil, they can use a calculator as a tool of investigation. Or head over to the K3 activity and check it out – it is all about calendar math. Students will investigate patterns that occur when dividing by 7. The investigation is framed in working with fractions whose denominators are 7. Most people are familiar with the patterns formed by dividing by 9 but have not had much experience with the dividing by 7. This activity is also good for students with dyslexia and language-based learning deficiencies. Please leave a review.
Twelve Days of Mathematics for Christmas-Day 3-Secondary
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Twelve Days of Mathematics for Christmas-Day 3-Secondary

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The number three is the next number for the 12 Days of Christmas. Students from kindergarten through high school work with the number three in one of the most representative of formats – the triangle. The focus for today is triangular numbers. Triangular numbers are polygonal numbers where the number of vertexes in a figure formed by a certain polygon is three.
Twelve Days of Mathematics for Christmas-Day 3-Int-MS
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Twelve Days of Mathematics for Christmas-Day 3-Int-MS

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The number three is the next number for the 12 Days of Christmas. Students from kindergarten through high school work with the number three in one of the most representative of formats – the triangle. The focus for today is triangular numbers. Triangular numbers are polygonal numbers where the number of vertexes in a figure formed by a certain polygon is three.
The 12 Days of Mathematics for Christmas - Day 1 - Secondary
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The 12 Days of Mathematics for Christmas - Day 1 - Secondary

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The number 1 plays an integral role in mathematics. Students should be able to discuss 1 as an exponent, 1 as a coefficient, 1 in terms of rational expressions, one as the identity element for multiplication, and various other aspects of one as their mathematical background allows. Students with more advanced mathematical backs=grounds can even discuss the Pythagoreans identity. Check back every day to download all twelve days of Christmas Mathematics activities. This resource is also good for children with dyslexia and language-based learning deficiencies.
12 Days of Mathematics for Christmas-Day 2-Intermediate-MS
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12 Days of Mathematics for Christmas-Day 2-Intermediate-MS

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The number two is the next number for the 12 Days of Christmas. Students from kindergarten through high school work with the number two in various formats. Today intermediate and middle school mathematicians will be investigating multiplying by 2 and powers of two using a well-known piece of children’s literature. Work mats, recording sheets, and a Multiple Representation Frayer for middle school mathematicians are provided. Opportunities for writing, listening, and being a mathematician are given. One Grain of Rice by Demi is a great piece of children’s literature to connect to these activities. The text for this book can often be found online. It is a classic story that transcends mathematics – perfect for this time of year.