There are problems from history that can serve today’s secondary mathematicians well. One such problem comes from The Nine Chapters on the Mathematical Art, written in the 3rd C. AD. It is as important a mathematical source as Euclid’s compilation, Elements. Where Elements influenced Western mathematics, Nine Chapters influenced the mathematics of China. It serves as a rich source of contextual problems to challenge today’s young mathematicians. Excerpts can be found in Google books among other places. This problem is from Chapter 9, Problem 20. The accompanying power point has facilitation notes. This resource includes a PDF with a description, the Nine Chapters Problem, and PDF of PowerPoint. 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!

A palindrome is a word or a number that can be read the same way in either direction. For example, MOM is still MOM if read backwards. “A man, a plan, a canal, Panama” is a famous palindrome about the building of the Panama Canal. Palindromes can also be numbers. 121 is still 121 if read from the other direction. This is a short collection of ideas and resources to facilitate students’ fun investigating palindromic numbers.

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.

The following collection of 11 photographs can be used as journal prompts, discussion starters, bell ringers, or for centers, small groups, or learning stations. These pictures provide opportunities for students to engage in mathematics through looking at pictures of architecture in the world. Facilitation notes are provided. This resource is good for students with dyslexia and language-based learning deficiencies.

The following collection of 13 photographs can be used as journal prompts, discussion starters, bell ringers, or for centers, small groups, or learning stations. These pictures provide opportunities for students to engage in mathematics through looking at pictures of fractions, decimals, & integers in the world. Facilitation notes are provided. This activity is good for students with dyslexia and language-based learning deficiencies.

The following collection of 10 photographs can be used as journal prompts, discussion starters, bell ringers, or for centers, small groups, or learning stations. These pictures provide opportunities for students to engage in mathematics through looking at pictures of geometry in the world. Facilitation notes are provided. This resource is good for students with dyslexia and language-based learning deficiencies.

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!

The following collection of 11 photographs can be used as journal prompts, discussion starters, bell ringers, or for centers, small groups, or learning stations. These pictures provide opportunities for students to engage in mathematics through looking at pictures of numbers in arrays in the world. Facilitation notes are provided. This resource is good for students with dyslexia and language-based learning deficiencies.

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!

The following collection of 10 photographs can be used as journal prompts, discussion starters, bell ringers, or for centers, small groups, or learning stations. These pictures provide opportunities for students to engage in mathematics through looking at pictures of mathematics in the world. Facilitation notes are provided. This resource is good for students with dyslexia and language-based learning deficiencies.

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.

The following collection of 10 photographs can be used as journal prompts, discussion starters, bell ringers, or for centers, small groups, or learning stations. These pictures provide opportunities for students to engage in mathematics through looking at pictures of sculpture and art in the world. Facilitation notes are provided. This resource is good for students with dyslexia and language-based learning deficiencies.

The following collection of 66 photographs can be used as journal prompts, discussion starters, bell ringers, or for centers, small groups, or learning stations. These pictures provide opportunities for students to engage in mathematics through looking at pictures of architecture, fractions, decimals & percents, numbers in arrays, geometry, sculpture, and mathematics and art in the world. Facilitation notes are provided. This resource is good for students with dyslexia and language-based learning deficiencies.

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 10 diverse opportunities for writing in mathematics with over 35 individual prompts for intermediate 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.

Mathematics is an art form. It is full of patterns and through the study of these patterns students at all ages discover and develop understandings of the many structures of mathematics. The following brief collection of patterns can be studied by students of all ages. The primary mathematician counts to finish the patterns or builds the nest pattern in the sequence. The secondary mathematician who creates a model to represent the pattern in order to predict any term of the sequence. Students need opportunities to engage with and experience a variety of patterns. One of the Habits of Mind roles is that of a pattern sniffer. (See Habits of Minds Roles Poster.) Patterns are presented in four ways. There are number patterns, dot patterns, toothpick patterns, and even letter patterns. Students can be given the patterns all at once and initially just determine the next element or the next three elements. They can then move to developing models later in the year as the related topics are addressed. For primary students, use them as they fit in with the topics being studied or use them for investigations in learning stations or centers. Students can use number charts and manipulatives as needed.

This packet offers 8 diverse opportunities for writing in mathematics with over 35 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.

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.

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. 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 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!

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. 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!