Math Foundations: Numbers to Algebra
SAT Score Range
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15 sessions
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OA
About
This Pre-Algebra course builds a strong foundation in mathematics by exploring the key concepts that prepare students for algebra. We’ll cover essential topics such as factors and multiples, fractions and decimals, ratios and proportions, integers, expressions, and equations. Each lesson will include clear explanations, examples, and guided practice to help students develop problem-solving skills and confidence. By the end of the course, students will have acquired the necessary tools to transition smoothly into algebra and higher-level mathematics.
✋ ATTENDANCE POLICY
Please ensure you attend the session if you have signed up, and kindly message me if you are unable to attend.
SESSION 1
6
Sep
SESSION 1
Factors and multiples
Factors and multiples
Sat 6:00 PM - 7:30 PM UTCSep 6, 6:00 PM - 7:30 PM UTC
In this session, we’ll cover the basics of factors and multiples. We’ll start by defining what factors and multiples are, then look at clear examples to understand the difference between them. After that, we’ll practice problems together to strengthen your understanding and build confidence with these important number concepts.
SESSION 2
7
Sep
SESSION 2
Patterns
Patterns
Sun 6:00 PM - 7:30 PM UTCSep 7, 6:00 PM - 7:30 PM UTC
In this session, we’ll explore patterns in numbers and shapes to understand how math connects and repeats. We’ll examine various types of patterns, including arithmetic and geometric sequences, and practice identifying the rules that generate them. Through examples and practice problems, you’ll learn how to recognize, extend, and create patterns—an important skill that helps build the foundation for algebra and problem solving.
SESSION 3
13
Sep
SESSION 3
Ratios and rates
Ratios and rates
Sat 6:00 PM - 7:30 PM UTCSep 13, 6:00 PM - 7:30 PM UTC
In this session, we’ll dive into the basics of ratios and rates—two powerful tools for comparing quantities. We’ll define what ratios and rates are, explore real-world examples, and learn how to simplify and solve problems using them. With guided practice, you’ll strengthen your ability to recognize and apply ratios and rates in everyday situations, preparing you for more advanced math concepts.
SESSION 4
14
Sep
SESSION 4
Percentages
Percentages
Sun 6:00 PM - 7:30 PM UTCSep 14, 6:00 PM - 7:30 PM UTC
In this session, we’ll learn the essentials of percentages and how they connect fractions and decimals. We’ll cover how to calculate percentages, find percentage increases and decreases, and apply them to real-life problems like discounts, interest, and data interpretation. Through examples and practice, you’ll gain confidence in working with percentages—a skill you’ll use both in math and everyday life.
SESSION 5
20
Sep
SESSION 5
Exponents intro and order of operations
Exponents intro and order of operations
Sat 6:00 PM - 7:30 PM UTCSep 20, 6:00 PM - 7:30 PM UTC
In this session, we’ll introduce the basics of exponents and review the order of operations (PEMDAS). You’ll learn what exponents mean, how to simplify expressions with them, and why following the correct order of operations is important in solving math problems. With examples and practice problems, you’ll build the skills to handle more complex expressions step by step with confidence.
SESSION 6
21
Sep
SESSION 6
Variables & expressions
Variables & expressions
Sun 6:00 PM - 7:30 PM UTCSep 21, 6:00 PM - 7:30 PM UTC
In this session, we’ll explore the basics of variables and algebraic expressions—the building blocks of algebra. You’ll learn what variables represent, how to write expressions from words, and how to simplify them using math rules. With clear examples and practice, you’ll gain confidence in working with variables and see how they make problem-solving more powerful and flexible.
SESSION 7
27
Sep
SESSION 7
Equations & inequalities introduction
Equations & inequalities introduction
Sat 6:00 PM - 7:30 PM UTCSep 27, 6:00 PM - 7:30 PM UTC
In this session, we’ll dive into equations and inequalities, two key tools for solving problems in algebra. You’ll learn how to set up and solve one-step and multi-step equations, as well as how to work with inequalities and represent their solutions on a number line. Through examples and practice, you’ll build the skills to confidently solve and interpret equations and inequalities in both math problems and real-world situations.
SESSION 8
28
Sep
SESSION 8
Percent & rational number word problems
Percent & rational number word problems
Sun 6:00 PM - 7:30 PM UTCSep 28, 6:00 PM - 7:30 PM UTC
In this session, we’ll tackle percent and rational number word problems by connecting math to real-life situations. You’ll learn how to solve problems involving discounts, tax, interest, fractions, and decimals, and practice translating word problems into clear mathematical steps. By the end, you’ll feel more confident using percentages and rational numbers to solve everyday challenges.
SESSION 9
4
Oct
SESSION 9
Proportional relationships
Proportional relationships
Sat 6:00 PM - 7:30 PM UTCOct 4, 6:00 PM - 7:30 PM UTC
In this session, we’ll explore proportional relationships and how they connect ratios, rates, and real-world problems. You’ll learn how to recognize proportional relationships, represent them with equations and graphs, and solve problems step by step. With practice and examples, you’ll see how proportional reasoning is a powerful tool for understanding patterns and making predictions in math.
SESSION 10
5
Oct
SESSION 10
One-step and two-step equations & inequalities
One-step and two-step equations & inequalities
Sun 6:00 PM - 7:30 PM UTCOct 5, 6:00 PM - 7:30 PM UTC
In this session, we’ll focus on solving one-step and two-step equations and inequalities. You’ll learn strategies for isolating variables, applying operations correctly, and checking your solutions. Through clear examples and practice problems, you’ll build confidence in solving equations and inequalities step by step, laying a strong foundation for more advanced algebra concepts.
SESSION 11
11
Oct
SESSION 11
Roots, exponents, & scientific notation
Roots, exponents, & scientific notation
Sat 6:00 PM - 7:30 PM UTCOct 11, 6:00 PM - 7:30 PM UTC
In this session, we’ll explore roots, exponents, and scientific notation—essential tools for working with very large or very small numbers. You’ll learn how to simplify expressions with exponents and roots, and how to write and interpret numbers in scientific notation. Through examples and practice problems, you’ll gain confidence in using these skills to solve math problems efficiently and accurately.
SESSION 12
12
Oct
SESSION 12
Multi-step equations
Multi-step equations
Sun 6:00 PM - 7:30 PM UTCOct 12, 6:00 PM - 7:30 PM UTC
In this session, we’ll focus on solving multi-step equations that require more than one operation to find the solution. You’ll learn strategies for combining like terms, using the distributive property, and isolating variables step by step. Through examples and guided practice, you’ll build confidence in solving complex equations and preparing for higher-level algebra concepts.
SESSION 13
18
Oct
SESSION 13
Two-variable equations
Two-variable equations
Sat 6:00 PM - 7:30 PM UTCOct 18, 6:00 PM - 7:30 PM UTC
In this session, we’ll explore equations with two variables and learn how to solve them using substitution and elimination methods. You’ll practice setting up equations from word problems, graphing solutions, and finding the point where two equations intersect. With examples and guided practice, you’ll gain confidence in solving two-variable equations and applying them to real-world situations.
SESSION 14
19
Oct
SESSION 14
Functions and linear models
Functions and linear models
Sun 6:00 PM - 7:30 PM UTCOct 19, 6:00 PM - 7:30 PM UTC
In this session, we’ll explore functions and linear models, key tools for understanding relationships between variables. You’ll learn how to identify functions, write linear equations from data, and use graphs to interpret and predict outcomes. Through examples and practice problems, you’ll gain confidence in modeling real-world situations with functions and linear relationships.
SESSION 15
25
Oct
SESSION 15
Systems of equations
Systems of equations
Sat 6:00 PM - 7:30 PM UTCOct 25, 6:00 PM - 7:30 PM UTC
In this session, we’ll explore systems of equations and learn how to solve them using substitution, elimination, and graphing methods. You’ll practice setting up systems from word problems, finding solutions, and interpreting what those solutions mean in real-world contexts. With guided examples and practice problems, you’ll build confidence in solving and applying systems of equations effectively.