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Middle School Math, Logic, and Problem Solving: Linear Relationships and Plots

In this unit we will learn to work with rate of change, associations, systems and other pre-algebra concepts related to linear relationships through collaborative problem based learning and visual thinking strategies.
Malikai Bass
165 total reviews for this teacher
New class
50 minutes
per class
5x per week
over 6 weeks
year olds
learners per class
per learner - per class

How does a "Multi-Day" course work?

Meets multiple times at scheduled times
Live video chats, recorded and monitored for safety and quality
Discussions via classroom forum and private messages with the teacher
Great for engaging projects and interacting with diverse classmates from other states and countries

How Outschool Works

Available Times


Mon, Jan 2, 2023

Jan 2 – Feb 10, 2023 (6 weeks)
Mo, Tu, We, Th, Fr
10:00 – 10:50 AM
Don't see a time that works for you?


Class Experience

    Generate two numerical patterns, each using a given rule
    Identify apparent relationships between corresponding terms by completing a function table or input/output table
    Using the terms created, form and graph ordered pairs in the first quadrant of the coordinate plane

Apply and extend previous understandings of multiplication and division to divide fractions by fractions.
Recognize and represent proportional relationships between quantities. 
Understand the connections between proportional relationships, lines, and linear equations.
Graph proportional relationships, interpreting the unit rate as the slope of the graph. Compare two different proportional relationships represented in different ways. For example, compare a distance-time graph to a distance-time equation to determine which of two moving objects has greater speed. 
Use similar triangles to explain why the slope m is the same between any two distinct points on a non-vertical line in the coordinate plane; derive the equation y = mx for a line through the origin and the equation y = mx + b for a line intercepting the vertical axis at b.
Analyze and solve linear equations and pairs of simultaneous linear equations.
Solve linear equations in one variable.
Give examples of linear equations in one variable with one solution, infinitely many solutions, or no solutions. Show which of these possibilities is the case by successively transforming the given equation into simpler forms, until an equivalent equation of the form x = a, a = a, or a = b results (where a and b are different numbers).
Solve linear equations with rational number coefficients, including equations whose solutions require expanding expressions using the distributive property and combining like terms.
Analyze and solve pairs of simultaneous linear equations.
Solve real-world and mathematical problems leading to two linear equations in two variables. For example, given coordinates for two pairs of points, determine whether the line through the first pair of points intersects the line through the second pair. 
Investigate patterns of association in bivariate data.
Construct and interpret scatter plots for bivariate measurement data to investigate patterns of association between two quantities. Describe patterns such as clustering, outliers, positive or negative association, linear association, and nonlinear association.
Know that straight lines are widely used to model relationships between two quantitative variables. For scatter plots that suggest a linear association, informally fit a straight line, and informally assess the model fit (e.g., line of best fit) by judging the closeness of the data points to the line.
Use the equation of a linear model to solve problems in the context of bivariate measurement data, interpreting the slope and intercept. For example, in a linear model for a biology experiment, interpret a slope of 1.5 cm/hr as meaning that an additional hour of sunlight each day is associated with an additional 1.5 cm in mature plant height. 
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. 

There is no homework for this class. It is all completed in class. 
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 receive weekly written progress reports. 
4 hours 10 minutes per week in class, and maybe some time outside of class.
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.


Malikai Bass
Lives in the United States
Education as Unique as Your Learner
165 total reviews
137 completed classes

About Me

I am an autistic adult with a masters degree in museum and museum evaluation focusing on applying science to museums and museums as a place of informal learning for neurodiverse learners. In my undergraduate education, I elementary education,... 
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