Schoolhouse.world: peer tutoring, for free.
Schoolhouse.world: peer tutoring, for free.
Schoolhouse.world: peer tutoring, for free.

Jeremy L

Tutor

@celeryz
Joined Jun 2025 · 9:31 AM Local

Upcoming Sessions

1 Series

Measurement in Data study group

    Starts

[Draft course---To be opened for registration in ~6 months] Timing: Approximately 7 weeks This series offers a sustained and focused examination of statistics and probability to support the development of your quantitative literacy. Statistics and probability help us perform essential real-world tasks such as making informed choices, deciding between different policies, and weighing competing knowledge claims. While topics of statistics and probability are commonplace in high school geometry courses, students often have limited opportunities to engage in statistical and probabilistic reasoning and sense-making. To move you toward a sophisticated understanding of data, you are expected to thinking about data sets as distributions which are functions that associate data values with their frequency or their probability. This encourages you to connect your knowledge of functions to concepts of statistics and probability, creating a more complete understanding of mathematics. Throughout the series, you generate your own data through surveys, experiments, and simulations that investigate some aspect of the real world. You engage in statistical calculations and probabilistic reasoning as methods of analysis to make sense of data and draw inferences about populations. Incorporating statistics and probability in the same course as geometry allows you to experience two distinct forms of argumentation: geometrical reasoning as drawing conclusions with certainty about an ideal mathematical world, and probabilistic reasoning as drawing less-than-certain conclusions about the real world. The conclusions of probability argument are presented as ranges that have varying degrees of certainty. ENDURING UNDERSTANDINGS You will understand that ... - Statistics are numbers that summarize large data sets by reducing their complexity to a few key values that model their center and spread. - Distributions are functions whose displays are used to analyze data sets. - Probabilistic reasoning allows us to anticipate patterns in data. - The method by which data are collected influences what can be said about the population from which the data were drawn, and how certain those statements are. KEY CONCEPTS - 1: The shape of data - Identifying measures of center and spread to summarize and characterize a data distribution - 2: Chance events - Exploring patterns in random events to anticipate the likelihood of outcomes - 3: Inferences from data - Using probability and statistics to make claims about a population

Jeremy L

Registration closed.

Past Sessions

11 Series

Systems of Linear Equations and Inequalities study group

    Ended Wed, Sep 24, 2025

Timing: Approximately 5 weeks Across this series, you are asked to solve systems of equations in support of two goals: to determine the solution to the system of equations and to become strategic and efficient in choosing a method to solve the system. You use systems of linear equations and systems of linear inequalities to model physical phenomena, especially those with multiple constraints where an optimal solution to an objective function is desired. Through these contexts, you build upon your prior knowledge of solving systems of equations and develop more sophisticated understandings about what the solution(s) to a system means in the context of the problem. ENDURING UNDERSTANDINGS You will understand that ... - A solution to a system of linear equations or inequalities is an ordered pair of numbers that satisfies all the equations or inequalities simultaneously. - Solving a system of linear inequalities or inequalities is a process of determining the value or values that make the equation or inequality true. - Systems of linear equations or inequalities can be used to model scenarios that include multiple constraints, such as resource limitations, goals, comparisons, and tolerances. KEY CONCEPTS - 1: The solution to a system of equation - 2: Solving a system of linear equations algebraically - 3: Modelling with systems of linear equations - 4: Systems of linear inequalities

Jeremy L

Series ended.

Linear Functions and Linear Equations study group

    Ended Thu, Sep 25, 2025

Timing: Approximately 9 weeks Linear relationships are among the most prevalent and useful relationships to mathematics and the real world. Any inequality in two variables that exhibits a constant rate of change for these variables is linear. Real-world contexts that have a constant rate of change and data sets with a nearly constant rate of change can be effectively modelled by a linear function. You will explore all aspects of linear relationships in this series: contextual problems that involve constant rate of change, lines in the coordinate plane, arithmetic sequences, and algebraic means of expressing a linear relationship between two quantities. Through this series, you will develop deep skills with linear functions and equations and an appreciation for the simplicity and power of linear functions as building blocks of all higher mathematics. ENDURING UNDERSTANDINGS You will understand that ... - A linear relationship has a constant rate of change, which can be visualised as the slope of the associated graph. - There are many ways to algebraically represent a linear function and each form reveals different aspects of the function. - Linear functions can be used to model contextual scenarios that involve a constant rate of change or data whose general trend is linear. - A solution to a two-variable linear equation or inequality is an ordered pair that makes the equation or inequality true. KEY CONCEPTS - 1: Constant rate of change and slope - 2: Linear functions - 3: Linear equations - 4: Linear models of nonlinear scenarios - 5: Two-variable linear inequalities

Jeremy L and Ruby B

Series ended.

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