Math Trailblazers Author Team

Math Trailblazers is a coherent, research-based, K–5 mathematics curriculum. This page is managed by the authors to connect teachers to the author team.

This page is managed by the Math Trailblazers 4TH Edition author team. Math Trailblazers is a coherent, research-based, K–5 mathematics curriculum that reflects the goals and ideas of the National Council of Teachers of Mathematics (NCTM) Principles and Standards for School Mathematics and aligns with the Common Core State Standards. Math Trailblazers maintains a careful balance between developing students’ conceptual understanding, procedural skills, and fluency with rigorous problem solving. Based on meaningful, real-world, problem-centered exercises, the program is designed to create an educational experience resulting in students who think flexibly about mathematics, see connections between the mathematics they learn in school and their everyday life experiences, enjoy mathematics, and have the critical-thinking and problem-solving skills required for future success. Math Trailblazers® is based on more than 25 years of National Science Foundation funded research by experts at the Teaching Integrated Mathematics and Science (TIMS) Project and the Learning Sciences Research Institute of the University of Illinois at Chicago.

Math Trailblazers Author Team

Which Picks Up More/Spreading Out
On-line Learning: Engage students in longer, student-driven assignments

“To effectively manage your time and sanity, you will want to prioritize longer, student-driven assignments and tasks that buy you time to keep planning future units—and that get your students off the computer.”
– Kareen Farah, experienced distance learning teacher, 4 Tips for Teachers Shifting to Teaching Online, Edutopia, March 20, 2020

Which Picks Up More (G3) and Spreading Out (G5) from Math Trailblazers 4th Edition, gets students into the kitchen to use some data and math to answer a common question about absorbency of paper towels. Which Brands holds the most Students create water spots on various paper towels or napkins, find the area of those spots, and then use that information to answer some questions about absorbency. The Grade 3 version depends on multiplicative reasoning while the Grade 5 version expects more precise measurements and uses graphs to model the relationship between the number of drops and the area and use that ratio in meaningful ways.

This lesson is from Math Trailblazers 4th Edition.
Which Picks Up More (G3-5)
Student Guide https://tinyurl.com/WhichpicksupmoreSG
Teacher Guide https://tinyurl.com/WhichpicksupmoreTG

Spreading Out (G4-8)
Student Guide https://tinyurl.com/SpreadingoutSG
Teacher Guide https://tinyurl.com/SpreadingOutTG

Looking for other ways to engage students in rich mathematics problem solving? We are making all of the Math Trailblazers manuscripts available as PDFs. https://tinyurl.com/MTB4inal-manuscript

Please reach out to our author team with any questions [email protected].

Reference
Kareen Farah, experienced distance learning teacher, 4 Tips for Teachers Shifting to Teaching Online, Edutopia, March 20, 2020 https://www.edutopia.org/article/4-tips-supporting-learning-home

Math Trailblazers Author Team

Hour Walk
On-line Learning: Engage students in longer, student-driven assignments

“To effectively manage your time and sanity, you will want to prioritize longer, student-driven assignments and tasks that buy you time to keep planning future units—and that get your students off the computer.”
– Kareen Farah, experienced distance learning teacher, 4 Tips for Teachers Shifting to Teaching Online, Edutopia, March 20, 2020

Hour Walk from Math Trailblazers 4th Edition, is a task that can engage the entire family. Students collect data to determine the number of steps they can walk in an hour. Extend this task by collecting data from other family members. This multiplicative reasoning lesson is appropriate for late elementary and early middle-school students.

This lesson is from Math Trailblazers 4th Edition.
Student Guide https://tinyurl.com/HourWalk
Teacher Guide https://tinyurl.com/HourWalkTG

Looking for other ways to engage students in rich mathematics problem solving?
We are making all of the Math Trailblazers manuscripts available as PDFs. https://tinyurl.com/MTB4inal-manuscript

Please reach out to our author team with any questions [email protected].
Reference
Kareen Farah, experienced distance learning teacher, 4 Tips for Teachers Shifting to Teaching Online, Edutopia, March 20, 2020 https://www.edutopia.org/article/4-tips-supporting-learning-home

Edutopia

Online teaching is *still* teaching. Check out these 6 tips for keeping students engaged in a virtual environment.

edutopia.org

7 Ways to Maintain Relationships During Your School Closure

edutopia.org Suddenly, you’re not in the same physical space as your students. We asked teachers to share strategies for maintaining relationships—both peer-to-peer and student-teacher—when everything’s gone remote.

mathtrailblazers.uic.edu

Math Trailblazers Author Team Site

Hour Walk
On-line Learning: Engage students in longer, student-driven assignments

“To effectively manage your time and sanity, you will want to prioritize longer, student-driven assignments and tasks that buy you time to keep planning future units—and that get your students off the computer.”
– Kareen Farah, experienced distance learning teacher, 4 Tips for Teachers Shifting to Teaching Online, Edutopia, March 20, 2020

Hour Walk from Math Trailblazers 4th Edition, is a task that can engage the entire family. Students collect data to determine the number of steps they can walk in an hour. Extend this task by collecting data from other family members. This multiplicative reasoning lesson is appropriate for late elementary and early middle-school students.

This lesson is from Math Trailblazers 4th Edition.
Student Guide https://tinyurl.com/HourWalk
Teacher Guide https://tinyurl.com/HourWalkTG

Looking for other ways to engage students in rich mathematics problem solving?
We are making all of the Math Trailblazers manuscripts available as PDFs. https://tinyurl.com/MTB4inal-manuscript

Please reach out to our author team with any questions [email protected].
Reference
Kareen Farah, experienced distance learning teacher, 4 Tips for Teachers Shifting to Teaching Online, Edutopia, March 20, 2020 https://www.edutopia.org/article/4-tips-supporting-learning-home

mathtrailblazers.uic.edu Introducing Math Trailblazers 4th Edition Math Trailblazers® 4th Edition is a coherent, research-based, K–5 mathematics curriculum that reflects the goals and ideas of the National Council of Teachers of Mathematics (NCTM) Principles and Standards for School Mathematics and aligns with the Common...

Math Trailblazers Author Team

Haunted House Mystery
On-line Learning: Engage students in longer, student-driven assignments

“To effectively manage your time and sanity, you will want to prioritize longer, student-driven assignments and tasks that buy you time to keep planning future units—and that get your students off the computer.”
– Kareen Farah, experienced distance learning teacher, 4 Tips for Teachers Shifting to Teaching Online, Edutopia, March 20, 2020

Haunted House Mystery from Math Trailblazers 4th Edition, is great fit. A graphic story sets the stage with some mysterious footprints found in an abandoned house. Students then analyze data to solve and make some decisions about related to the mysterious foot prints. This lesson can be extended by asking students to trace and find the area of the various footprints of other people in the family. Check out the other related activities in MTB4 Unit 5. See link below.

This lesson is from Math Trailblazers 4th Edition.
Student Guide https://tinyurl.com/trxozza
Teacher Guide https://tinyurl.com/HauntedHouseTG

Looking for other ways to engage students in rich mathematics problem solving?
We are making all of the Math Trailblazers manuscripts available as PDFs. https://tinyurl.com/MTB4inal-manuscript

Please reach out to our author team with any questions [email protected].

Which Picks Up More/Spreading Out
On-line Learning: Engage students in longer, student-driven assignments

“To effectively manage your time and sanity, you will want to prioritize longer, student-driven assignments and tasks that buy you time to keep planning future units—and that get your students off the computer.”
– Kareen Farah, experienced distance learning teacher, 4 Tips for Teachers Shifting to Teaching Online, Edutopia, March 20, 2020

Which Picks Up More (G3) and Spreading Out (G5) from Math Trailblazers 4th Edition, gets students into the kitchen to use some data and math to answer a common question about absorbency of paper towels. Which Brands holds the most Students create water spots on various paper towels or napkins, find the area of those spots, and then use that information to answer some questions about absorbency. The Grade 3 version depends on multiplicative reasoning while the Grade 5 version expects more precise measurements and uses graphs to model the relationship between the number of drops and the area and use that ratio in meaningful ways.

This lesson is from Math Trailblazers 4th Edition.
Which Picks Up More (G3-5)
Student Guide https://tinyurl.com/WhichpicksupmoreSG
Teacher Guide https://tinyurl.com/WhichpicksupmoreTG

Spreading Out (G4-8)
Student Guide https://tinyurl.com/SpreadingoutSG
Teacher Guide https://tinyurl.com/SpreadingOutTG

Looking for other ways to engage students in rich mathematics problem solving? We are making all of the Math Trailblazers manuscripts available as PDFs. https://tinyurl.com/MTB4inal-manuscript

Please reach out to our author team with any questions [email protected].

Reference
Kareen Farah, experienced distance learning teacher, 4 Tips for Teachers Shifting to Teaching Online, Edutopia, March 20, 2020 https://www.edutopia.org/article/4-tips-supporting-learning-home

Haunted House Mystery
On-line Learning: Engage students in longer, student-driven assignments

“To effectively manage your time and sanity, you will want to prioritize longer, student-driven assignments and tasks that buy you time to keep planning future units—and that get your students off the computer.”
– Kareen Farah, experienced distance learning teacher, 4 Tips for Teachers Shifting to Teaching Online, Edutopia, March 20, 2020

Haunted House Mystery from Math Trailblazers 4th Edition, is great fit. A graphic story sets the stage with some mysterious footprints found in an abandoned house. Students then analyze data to solve and make some decisions about related to the mysterious foot prints. This lesson can be extended by asking students to trace and find the area of the various footprints of other people in the family. Check out the other related activities in MTB4 Unit 5. See link below.

This lesson is from Math Trailblazers 4th Edition.
Student Guide https://tinyurl.com/trxozza
Teacher Guide https://tinyurl.com/HauntedHouseTG

Looking for other ways to engage students in rich mathematics problem solving?
We are making all of the Math Trailblazers manuscripts available as PDFs. https://tinyurl.com/MTB4inal-manuscript

Please reach out to our author team with any questions [email protected].

Grass Act
On-line Learning: Engage students in longer, student-driven assignments

“To effectively manage your time and sanity, you will want to prioritize longer, student-driven assignments and tasks that buy you time to keep planning future units—and that get your students off the computer.”
– Kareen Farah, experienced distance learning teacher, 4 Tips for Teachers Shifting to Teaching Online, Edutopia, March 20, 2020

Grass Act from Math Trailblazers 4th Edition, is a favorite problem that promotes choice and problem solving. Students choose to “count” something: the blades of grass in a football field, the loops on a towel, people in a crowd, or holes on a screen, or grains of rice in a bag, and devise a plan to do so. Students can refine their process by choosing a different thing to “count.” Great way to engage in multiplicative reasoning and place value. This lesson is appropriate for Grades 3-6 but could be adapted for younger and older students.

This lesson is from Math Trailblazers 4th Edition.
Student Guide https://tinyurl.com/GrassAct
Teacher Guide https://tinyurl.com/GrassActTG

Looking for other ways to engage students in rich mathematics problem solving?
We are making all of the Math Trailblazers manuscripts available as PDFs. https://tinyurl.com/MTB4inal-manuscript

Please reach out to our author team with any questions [email protected].

Reference
Kareen Farah, experienced distance learning teacher, 4 Tips for Teachers Shifting to Teaching Online, Edutopia, March 20, 2020 https://www.edutopia.org/article/4-tips-supporting-learning-home

Bouncing Ball
On-line Learning: Engage students in longer, student-driven assignments

“To effectively manage your time and sanity, you will want to prioritize longer, student-driven assignments and tasks that buy you time to keep planning future units—and that get your students off the computer.”
– Kareen Farah, experienced distance learning teacher, 4 Tips for Teachers Shifting to Teaching Online, Edutopia, March 20, 2020

Bouncing Ball from Math Trailblazers 4th Edition, seems to fit that bill. Students compare the drop height to the bounce height of various balls (e.g., super ball, tennis ball, rubber ball) and use tables and graphs to describe and analyze that relationship. This data collection and multiplicative reasoning lesson is appropriate for late elementary and early middle-school students.

This lesson is from Math Trailblazers 4th Edition.
Student Guide https://tinyurl.com/MTB4Bouningball
Teacher Guide https://tinyurl.com/MTB4BouningballTG

Looking for other ways to engage students in rich mathematics problem solving?
We are making all of the Math Trailblazers manuscripts available as PDFs. https://tinyurl.com/MTB4inal-manuscript

Please reach out to our author team with any questions [email protected].

Reference
Kareen Farah, experienced distance learning teacher, 4 Tips for Teachers Shifting to Teaching Online, Edutopia, March 20, 2020 https://www.edutopia.org/article/4-tips-supporting-learning-home

mathtrailblazers.uic.edu

Math Trailblazers Author Team Site

Joe the Goldfish
On-line Learning: Engage students in longer, student-driven assignments

“To effectively manage your time and sanity, you will want to prioritize longer, student-driven assignments and tasks that buy you time to keep planning future units—and that get your students off the computer.”
– Kareen Farah, experienced distance learning teacher, 4 Tips for Teachers Shifting to Teaching Online, Edutopia, March 20, 2020

Joe the Goldfish from Math Trailblazers 4th Edition, taps into students’ creativity and imaginations as they design and find the area of a rain coat for Joe. The lesson includes examples of students that could be used to stimulate a conversation and provide needed feedback.

This lesson is from Math Trailblazers 4th Edition.
Student Guide https://tinyurl.com/JoeGoldfish
Teacher Guide https://tinyurl.com/JoeGoldfishTG

Looking for other ways to engage students in rich mathematics problem solving? We are making all of the Math Trailblazers manuscripts available as PDFs.
https://tinyurl.com/MTB4inal-manuscript

Please reach out to our author team with any questions [email protected].

Reference
Kareen Farah, experienced distance learning teacher, 4 Tips for Teachers Shifting to Teaching Online, Edutopia, March 20, 2020 https://www.edutopia.org/article/4-tips-supporting-learning-home

mathtrailblazers.uic.edu Introducing Math Trailblazers 4th Edition Math Trailblazers® 4th Edition is a coherent, research-based, K–5 mathematics curriculum that reflects the goals and ideas of the National Council of Teachers of Mathematics (NCTM) Principles and Standards for School Mathematics and aligns with the Common...

mathtrailblazers.uic.edu

Math Trailblazers Author Team Site

Shannon’s Candy Box
On-line Learning: Engage students in longer, student-driven assignments

“To effectively manage your time and sanity, you will want to prioritize longer, student-driven assignments and tasks that buy you time to keep planning future units—and that get your students off the computer.”
– Kareen Farah, experienced distance learning teacher, 4 Tips for Teachers Shifting to Teaching Online, Edutopia, March 20, 2020

Shannon’s Candy Box problem from Math Trailblazers 4th Edition, is a highly engaging fraction problem that can be easily extended to meet the varied needs of your students. Extend this juicy problem by asking students to write their own version of the problem.

This problem is from Math Trailblazers 4th Edition.
Student Guide https://tinyurl.com/Shannon-s-Candy-Box
Teacher Guide https://tinyurl.com/Shannon-s-Candy-Box-TG

Looking for other ways to engage students in rich mathematics problem solving?
We are making all of the Math Trailblazers manuscripts available as PDFs. https://tinyurl.com/MTB4inal-manuscript

Please reach out to our author team with any questions [email protected].

Reference
Kareen Farah, experienced distance learning teacher, 4 Tips for Teachers Shifting to Teaching Online, Edutopia, March 20, 2020 https://www.edutopia.org/article/4-tips-supporting-learning-home

mathtrailblazers.uic.edu Introducing Math Trailblazers 4th Edition Math Trailblazers® 4th Edition is a coherent, research-based, K–5 mathematics curriculum that reflects the goals and ideas of the National Council of Teachers of Mathematics (NCTM) Principles and Standards for School Mathematics and aligns with the Common...

Math Trailblazers Author Team

Life Spans and Live Soap Bubbles
On-line Learning: Engage students in longer, student-driven assignments

“To effectively manage your time and sanity, you will want to prioritize longer, student-driven assignments and tasks that buy you time to keep planning future units—and that get your students off the computer.”
– Kareen Farah, experienced distance learning teacher, 4 Tips for Teachers Shifting to Teaching Online, Edutopia, March 20, 2020

The Life Spans lesson and the Live Soap Bubbles lesson from Math Trailblazers 4th Edition, are two longer highly engaging lessons that address questions of the current crisis but also engage students in the problem solving and statistical reasoning. In Life Spans, students describe and compare the life spans of two populations: one from 1858 and another from 2014. This analysis continues as students analyze the life spans of “populations” of soap bubbles. These integrated math and science lesson are appropriate for late elementary and middle-school students.

This lesson is from Math Trailblazers 4th Edition.
SG https://tinyurl.com/LifeSpansLiveSoapBubbles
TG https://tinyurl.com/LifeSpansLiveSoapBubblesTG

Looking for other ways to engage students in rich mathematics problem solving?

We are making all of the Math Trailblazers manuscripts available as PDFs. https://tinyurl.com/MTB4inal-manuscript

Please reach out to our author team with any questions [email protected].

Reference
Kareen Farah, experienced distance learning teacher, 4 Tips for Teachers Shifting to Teaching Online, Edutopia, March 20, 2020 https://www.edutopia.org/article/4-tips-supporting-learning-home

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