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Advanced Algebra | Art of Problem Solving (AOPS) | Full Curriculum

Middle School Math and Logic : Exponents and Scientific Notation

Class
Malikai Bass M.A
Popular
Average rating:5.0Number of reviews:(272)
In this pre-algebra course students will expand their understanding of exponents to include all integers and work with scientific notation to solve problems with very large and small quantities.

Class experience

US Grade 5 - 8
This class is taught in English.
Know and apply the properties of integer exponents to generate equivalent numerical expressions. 
Use numbers expressed in the form of a single digit times an integer power of 10 to estimate very large or very small quantities, and to express how many times as much one is than the other. 
Perform operations with numbers expressed in scientific notation, including problems where both decimal and scientific notation are used. Use scientific notation and choose units of appropriate size for measurements of very large or very small quantities (e.g., use millimeters per year for seafloor spreading). Interpret scientific notation that has been generated by technology.
Professional Experience:
I have been a math tutor for over 12 years and have worked with students from ages 5-25 in small group and academic settings including serving as a primary teacher for home educated learners. I have received training and tutoring certification/awards from nationally recognized organizations. I was a group supplemental instruction leader for math at the collegiate level for four years at ETSU including working with dual enrolled and accelerated learners. I have taught and tutored math up to a graduate level in algebra, geometry, probability, and quantitative reasoning. 
Academic Experience: 
Constructivism and Mathematics, Science, and Technology Education
	This graduate level online course for educators used practical examples and empirical research to connect the educational philosophy of constructivism to best practices in STEM education and demonstrated online teaching strategies for this endeavor. It highlighted the power of solving problems through building and applying understandings rather than rote processes which influences the problem-centered curriculum This class also addressed common misconceptions or alternative schemas students develop for math and science prior to instruction and provided ideas for experiments and explorations to adjust these conceptions. 
Math 1410 Numbers, Concepts, and Algebra for Math Teachers
      This in-person semester long coursed prepared students to teach common core mathematics to students in grades kindergarten through eight including early access to algebra. It included practical teaching experience, ensuring the personal math conceptual fluency of each educator, and demonstrating expertise on the Praxis math exam for educators. 
Math 1420: Logic, Problems, and Geometry for Math Teachers
      This in-person semester long course prepared teacher candidates to teach common core mathematics to students in grades kindergarten through eighth including advanced ideas of logic, problem solving, and geometry using a constructivist lens. 


Homework Offered
Assessments Offered
Students will receive weekly written progress reports.
Grades Offered
Learners will need a way to write/draw to solve problems. This class is best taken using a computer and mouse, but learners might benefit from having a secondary touch screen device in order to be able to screen share math work. 
In addition to the Outschool classroom, this class uses:
Students will need to use Nearpod. They will need to click a link and enter their first name or initial. No other identifying information will be collected. 
The scope and sequence of this course is based on the open source Illustrative Mathematics curriculum and has been adapted for 2e, neurodiverse, and home-based learners. Illustrated Mathematics is licensed under a creative commons attribution license: https://creativecommons.org/licenses/by/4.0/
Pedagological Resources:
Gravemeijer, K. (2020). A socio-constructivist elaboration of realistic mathematics education. In National reflections on the Netherlands didactics of mathematics (pp. 217-233). Springer, Cham.
Vintere, A. (2018). A constructivist approach to the teaching of mathematics to boost competences needed for sustainable development. Rural Sustainability Research, 39(334), 1-7.
Briscoe, L., & Van Kesteren, J. (2018). THE ART OF MATH. Gazette-Ontario Association for Mathematics, 57(2), 21-24.
Popular
Average rating:5.0Number of reviews:(272)
Profile
Hello, I have thirteen years of experience in education. As an eclectic academic learner, I had lots of opportunities to benefit others with my unique understanding and gifted perspective as a twice exceptional learner. I hold a master’s degree in... 
Group Class

$300

for 20 classes
5x per week, 4 weeks
50 min

Completed by 7 learners
Live video meetings
Ages: 11-14
3-6 learners per class

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