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In these active, student-centered, discovery-based activity, students are lead to discover that if a quadrilateral is a parallelogram, then both pairs of opposite sides are congruent (part 1), both pairs of opposite angles are congruent (part 2),

Subjects:

Math, Algebra, Geometry

Grades:

7^{th}, 8^{th}, 9^{th}, 10^{th}, 11^{th}, 12^{th}

Types:

Activities, Assessment, Google Apps

This lesson activity serves as an excellent class opener when it's time to start your Geometry unit on circles! All students need is this document and internet access to access this interactive applet, available for FREE at

Subjects:

Math, Geometry, Other (Math)

Grades:

7^{th}, 8^{th}, 9^{th}, 10^{th}, 11^{th}, 12^{th}, Homeschool

Types:

Lesson Plans (Individual), Activities, Google Apps

CCSS:

HSG-C.A.2

Zip file contains ALL student-centered discovery activities listed on my TpT website. In these activities, students use GeoGebra as the platform in order to discover the following theorems:
If a quadrilateral has both pairs of opposite sides

Subjects:

Math, Algebra, Geometry

Grades:

8^{th}, 9^{th}, 10^{th}, 11^{th}, 12^{th}

Types:

Activities, Math Centers, Google Apps

CCSS:

HSG-CO.C.11, HSG-CO.D.12

In this lesson activity, students are engaged from the start. Students will use the tools of GeoGebra (a FREE, EASY-TO-USE, dynamic mathematics software application) to discover properties of tangents drawn to circles. Namely, students will

Subjects:

Math, Algebra, Geometry

Grades:

8^{th}, 9^{th}, 10^{th}, 11^{th}, 12^{th}, Homeschool

Types:

Lesson Plans (Individual), Activities, Google Apps

CCSS:

HSG-C.A.4

In this active, student-centered, discovery-based activity, students are lead to discover that if a quadrilateral is a parallelogram, then its diagonals bisect each other.
GeoGebra is the main platform students use to actively engage within this

Subjects:

Math, Algebra, Geometry

Grades:

7^{th}, 8^{th}, 9^{th}, 10^{th}, 11^{th}

Types:

Activities, Math Centers, Google Apps

This lesson activity serves as an excellent class opener when it's time to start your Geometry unit on circles! All students need is this document and internet access to access this interactive applet, available for FREE at

Subjects:

Math, Algebra, Geometry

Grades:

7^{th}, 8^{th}, 9^{th}, 10^{th}, 11^{th}, 12^{th}, Homeschool

Types:

Lesson Plans (Individual), Activities, Google Apps

CCSS:

HSG-C.A.2

In this active, student-centered, discovery-based activity, students are lead to discover that if a quadrilateral is a parallelogram, then both pairs of opposite angles are congruent.
GeoGebra is the main platform students use to actively engage

Subjects:

Math, Algebra, Geometry

Grades:

7^{th}, 8^{th}, 9^{th}, 10^{th}, 11^{th}, 12^{th}

Types:

Activities, Math Centers, Google Apps

This activity is part 4 (& final part) of a series of discovery-based lessons about properties of parallelograms. It contains assessment exercises that prompt students to demonstrate the knowledge of parallelograms they've discovered in the

Subjects:

Math, Algebra, Geometry

Grades:

7^{th}, 8^{th}, 9^{th}, 10^{th}, 11^{th}, 12^{th}

Types:

Activities, Assessment, Math Centers

In this active, student-centered, discovery-based activity, students are lead to realize that if both pairs of opposite sides of a quadrilateral are congruent, then that quadrilateral is a parallelogram.
GeoGebra is the platform students use to

Subjects:

Math, Algebra, Geometry

Grades:

8^{th}, 9^{th}, 10^{th}, 11^{th}, 12^{th}

Types:

Activities, Math Centers, Google Apps

In this active, student-centered, discovery-based activity, students are lead to discover that if one pair of opposite sides of a quadrilateral are BOTH congruent AND parallel, then that quadrilateral is a parallelogram.
GeoGebra is the platform

Subjects:

Math, Algebra, Geometry

Grades:

8^{th}, 9^{th}, 10^{th}, 11^{th}, 12^{th}

Types:

Activities, Math Centers, Google Apps

In this active, student-centered, discovery-based activity, students are lead to realize that if both pairs of opposite angles of a quadrilateral are congruent, then that quadrilateral is a parallelogram.
GeoGebra is the platform students use to

Subjects:

Math, Algebra, Geometry

Grades:

8^{th}, 9^{th}, 10^{th}, 11^{th}, 12^{th}, Homeschool

Types:

Activities, Math Centers, Google Apps

In this dynamic & engaging discovery activity, students are directed to this GeoGebra applet: http://tube.geogebra.org/material/simple/id/3108761
Students work with this applet in order to discover that if parallel lines cut off segments on

Subjects:

Math, Algebra, Geometry

Grades:

8^{th}, 9^{th}, 10^{th}, 11^{th}, 12^{th}, Homeschool

Types:

Activities, Math Centers, Google Apps

CCSS:

HSG-CO.C.10

In this dynamic, engaging, discovery-based lab, students readily discover and prove the triangle-angle bisector theorem, which states that the angle bisector of one angle of a triangle cuts the side opposite that angle into segments that are in

Subjects:

Math, Algebra, Geometry

Grades:

8^{th}, 9^{th}, 10^{th}, 11^{th}, 12^{th}, Homeschool

Types:

Activities, Math Centers, Google Apps

CCSS:

HSG-CO.C.10

In this active, student-centered, discovery-based activity, students are lead to discover that if a quadrilateral is a parallelogram, then both pairs of opposite sides are congruent.
GeoGebra is the main platform students use to actively engage

Subjects:

Geometry

Grades:

7^{th}, 8^{th}, 9^{th}, 10^{th}, 11^{th}, 12^{th}

Types:

Activities, Math Centers, Google Apps

In this lab, students are led, step-by-step, to discover that if the diagonals of a quadrilateral bisect each other, then that quadrilateral is a parallelogram.
This active, student-led investigation uses GeoGebra as the platform for discovery:

Subjects:

Math, Algebra, Geometry

Grades:

7^{th}, 8^{th}, 9^{th}, 10^{th}, 11^{th}, 12^{th}

Types:

Activities, Math Centers, Google Apps

This free lesson activity allows the students to use GeoGebra (the world's leading AND FREE !) dynamic mathematics software package to discover the concept of slope for themselves. In addition, this activity could also be used for meaningful

Subjects:

Math, Algebra, Geometry

Grades:

7^{th}, 8^{th}, 9^{th}, 10^{th}, 11^{th}, 12^{th}

Types:

Activities, Math Centers, Google Apps

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TEACHING EXPERIENCE

Mathematics Teacher August 2002 – Present Berlin High School, Berlin, Connecticut Courses taught: • UConn/AP Calculus I (UConn accredited course) • UConn/AP Calculus II (UConn accredited course) • Honors Precalculus • Honors Geometry • Accelerated Geometry • Advanced Math Topics • Trigonometry • Algebra I • Balanced Algebra & Geometry Founder & Mathematics Education Consultant, 01/16 - Present Dynamic Math Solutions (www.dynamicmathsolutions.com) Southington, CT Provide various professional development workshops for middle, secondary, and post-secondary mathematics teachers, administrators, and curriculum coordinators Curriculum Author and Contributor Summer 2015 - Present State of Connecticut Model Geometry CCSS Curriculum Committee Central Connecticut State University, New Britain, Connecticut • Authored Discovery-Based Lessons • Created GeoGebra Applets to Accompany Lessons • Provided Professional Development for Teachers Adjunct Instructor of Mathematical Sciences July 2002 – Present Central Connecticut State University, New Britain, Connecticut Courses taught: • Precalculus with Trigonometry • Trigonometry • Finite Mathematics • Intermediate Algebra • Elementary Algebra Mathematics Instructor Summer Institute for the Gifted, Yale University, New Haven, CT Summer 2011 Courses taught: • Topics in Trigonometry • Topics in Algebra II • Geometric Highlights • Jump Start Your SAT Math Score Long Term Substitute Mathematics Teacher January 2002 – June 2002 Dodd Middle School, Cheshire, Connecticut Courses taught: • Algebra I & Pre-Algebra

MY TEACHING STYLE

Welcome! My name is Tim Brzezinski, and I am an enthusiastic secondary public school mathematics teacher in Connecticut. I design lessons that empower all of my students to learn mathematics within meaningful contexts and become critical thinkers of the discipline, regardless of course level. I use a variety of pedagogical approaches that promote active, hands-on, student-centered, discovery-based learning. Within my classroom, I place students at the center of their own learning and myself as a facilitator of this learning. Over the years, I have authored numerous lesson activities that engage students to think critically, formulate and test conjectures, and construct new knowledge based upon their findings. (Many of these activities you will find here on TpT.) I regularly use technology as a means of enhancing my instruction within the secondary and post-secondary mathematics classroom. In the past, I have used a wide range of mathematics technology applications. Of all these great applications, I use GeoGebra most extensively. It is free, easy to use, and multifaceted. GeoGebra has an Algebra, Geometry, 2-Dimensional Graphics, 3-Dimensional Graphics, Probability, Spreadsheet, and CAS perspective. These perspectives work interactively with each other to help teachers enhance student learning within their classes. I am an avid GeoGebra enthusiast; GeoGebra is the WORLD'S LEADING && FREE!) dynamic mathematics software. Every GeoGebra investigations here actively engages the students in his/her own learning, step-by-step, to dynamically discover a very important concept (or set of concepts).

HONORS/AWARDS/SHINING TEACHER MOMENT

Contributor to GeoGebra Tube: Over 290 applets & counting....Many more are on their way!!! And several of these FREE applets are used in conjunction with the activities that will soon be coming to my TbT store! Several of these applets have been marked as "Outstanding" by a GeoGebra Tube moderator. Examples include: Circle Area (by Peeling)!: http://tube.geogebra.org/material/show/id/2182771 Inscribed Angle Dance! http://tube.geogebra.org/material/show/id/2501773

MY OWN EDUCATIONAL HISTORY

EDUCATION Master of Science in Mathematics, Central Connecticut State University, 2006. GPA: 4.0 Bachelor of Science in Mathematics, Central Connecticut State University, 2001. GPA: 3.96

ADDITIONAL BIOGRAPHICAL INFORMATION

Website: www.dynamicmathsolutions.com Twitter: https://twitter.com/dynamic_math?lang=en Facebook: https://www.facebook.com/dynamicmathsolutions/ LinkedIn: https://www.linkedin.com/in/timothy-j-brzezinski-235260110?trk=nav_responsive_tab_profile Google+: https://plus.google.com/109680292532001229478/about/p/pub Pinterest: https://www.pinterest.com/dynamic_math/