Pre-Algebra Crash Course

Introductions, getting to know each other, and figuring out what people already know and want to cover the most.

We'll go over factors and multiples to start building a solid foundation of what is needed for more complex topics in pre-algebra.

*Subject to change*

We'll go over patterns we see in numbers and how those can relate both to the mathematical world and everyday life.

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We'll go over ratios, rates, and percentages and discuss where they could be applied and where we most commonly see them (science, finances, health, etc.).

*Subject to change*

We'll go over exponents and basic exponent rules, roots (starting with square roots and cube roots, more if time permits), scientific notation, and how they all relate. We'll also briefly see what they all mean in real-life, and how they will relate to algebraic equations.

*Subject to change*

We'll go over what variables are and their importance in algebra, as well as talk about where else you might see a variable. We'll also be introduced to expressions to prepare for full equations.

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We'll go over the basics of equations and inequalities using the foundation build from the previous sessions. We'll also be introduced to the different types of equations, but hold off on going into detail until the next sessions.

*Subject to change*

We'll go over proportions and proportional relationships as a full introduction to solving equations, as it's one of the most foundation types. We'll look into how proportions are represented in real life and how you can use proportional relationships in your every-day.

*Subject to change*

We'll go over one-step and two-step equations (and inequalities), two of the other foundational types, and work on some practice problems to get them hang of them.

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We'll go over multi-step equations that are different in complexity, building off of what we already know about one-step, two-step, and proportional equations to solve more complex equations and work together on some practice problems.

*Subject to change*

We'll go over equations with two different variables and discuss how they will relate to future topics in algebra. These practice problems will likely focus more on word problems to understand how the two variables are linked.

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We'll go over functions and linear (graphed) models to see these two-variable equations more in action. We'll also relate how functions (even the most basic ones) can be used in other fields like science and economics to analyze and show results.

*Subject to change*

We'll go over the basics of systems of equations, using what we know about two variable equations to solve them, and learn about the three main methods of solving.

*Subject to change*

We'll go over any extra questions you have after having covered all the main topics. This session is completely optional, but recommended if you're still a little confused on something or just want to ask a fun question!