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Explain why the sum or product of two rational numbers is rational; that the sum of a rational number and an irrational number is irrational; and that the product of a nonzero rational number and an irrational number is irrational.
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Students love probability using the birthday problem!
What is the probability of two students in the same class sharing a birthday? Your class will probably be surprised to learn that for a group of 35, the probability that 2 members will have the

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Extend polynomial identities to the complex numbers. For example, rewrite x^2 + 4 as (x + 2i)(x - 2i).
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Rewrite expressions involving radicals and rational exponents using the properties of exponents.
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Know the Fundamental Theorem of Algebra; show that it is true for quadratic polynomials.
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Students will explain how the definition of the meaning of rational exponents follows from extending the properties of integer exponents to those values, allowing for a notation for radicals in terms of rational exponents.
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Given a quadratic equation of the form ax2+ by2 + cx + dy + e = 0, use the method for completing the square to put the equation into standard form; identify whether the graph of the equation is a circle, ellipse, parabola, or hyperbola and graph the

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Use the relation i2 = -1 and the commutative, associative, and distributive properties to add, subtract, and multiply complex numbers.
Understand that polynomials form a system analogous to the integers, namely, they are closed under the operations

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Great visual tool for learning about frequency tables!!!
Students will understand that patterns of association can also be seen in categorical data by displaying frequencies and relative frequencies in a two-way table. Construct and interpret a

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Students love this creative foldable activity and followup expert group project!
Students create foldable graphic organizers to illustrate the surface area and volume formulas for various shapes. Foldables are great for introducing and organizing

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TEACHING EXPERIENCE

With over ten years of experience in the math education field, I have a passion for creating visually engaging math activities. I believe that given encouragement and a growth mindset, all students can excel in STEM fields.

MY TEACHING STYLE

I incorporate visual aids, foldables, graphic organizers, and project-based learning into my curriculum. I also use as many real world scenarios as I can think of. :-)

HONORS/AWARDS/SHINING TEACHER MOMENT

STAR (Science Teacher and Researcher) at Romberg Tiburon Center for Environmental Studies, NSF (National Science Foundation) Noyce Teacher Scholar, St. Ignatius MAGIS Teaching Fellow for Making Waves, How Things Work, and Algebra Courses, Society of Women Engineers (SWE) Member (National Winner of Boeing Team Tech Competition), California Mathematics Council (CMC) Member, California Scholarship Federation (CSF) Lifetime Member

MY OWN EDUCATIONAL HISTORY

BS in engineering, MA/credentials in math and physics, MS in computer science

ADDITIONAL BIOGRAPHICAL INFORMATION

Check out my website at newmathteacher.net for additional high quality math resources.

GRADES

PreK, Kindergarten, 1^{st}, 2^{nd}, 3^{rd}, 4^{th}, 5^{th}, 6^{th}, 7^{th}, 8^{th}, 9^{th}, 10^{th}, 11^{th}, 12^{th}, Homeschool, Not Grade Specific

SUBJECTS

English Language Arts, Creative Writing, Specialty, Math, Algebra, Applied Math, Basic Operations, Fractions, Geometry, Graphing, Measurement, Numbers, Order of Operations, PreCalculus, Trigonometry, Other (Math), Science, Basic Principles, Math Test Prep, Statistics, Word Problems, Physical Science, Problem Solving, Algebra 2, Writing, Holidays/Seasonal, Spring, Place Value, Summer, Handwriting, For Administrators, End of Year, Engineering