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Middle School Math, Logic, and Problem Solving: Similar Shapes, Scale, and Slope

Malikai Bass M.A
Average rating:5.0Number of reviews:(259)
In this five week pre-algebra and middle school math course, learners will identify similar shapes, create scale drawings, and connect existing geometry knowledge to the concept of slope through problem-centered exploration.

Class experience

US Grade 5 - 8
Students will understand and use the terms " scaled copy", "to scale", "scale factor", "scale drawing", and "scale".
Students will recognize when two pictures or plane figures are not scale copies of each other. 
Students will use tables to reason about measurements in scaled copies.
Students will make, interpret, and reason with scale drawings. 
Students will understand dilation and recognize center and scale in this context. 
Students will understand how dilation impacts different polygons including line and angle measures. 
Students will understand similarity of plan figures using rigid transformations and dilations. 
They will use the properties of similarity to make, prove, and disprove claims. 
They will learn the terms "slope" and "slope triangle".
They will use similarity to prove they can sue any two distinct points on a straight line to determine the slope. 
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 ruler, pencil, and notebook. Learners may benefit from having a whiteboard and marker to provide additional, flexible, problem-solving space. 
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:
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.

Meet the teacher

Average rating:5.0Number of reviews:(259)
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


for 25 classes
5x per week, 5 weeks
50 min

Average rating:5.0Number of reviews:(1)
Completed by 5 learners
Live video meetings
Ages 11-13
3-6 learners per class

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