Prevent the Summer Slide.
Math can be hard to remember on good day! Now imagine you haven't looked at it for almost 3 months.
Math is cumulative -- having a strong base is important to do well in future math classes.
Keep your math skills sharp, get a deeper understanding of confusing concepts, and jump start next year's math success.
Algebra I - six 2 hour sessions:
Tues 7/11/23 - 8/15/23 from 3:30-5:30pm
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Algebra 2 - six 2 hour sessions:
Wed 7/12/23 - 8/16/23 from 3:30-5:30pm
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Pre-Calculus - six 2 hour sessions:
Thurs 7/13/23 - 8/17/23 from 3:30-5:30pm
Algebra I
Algebra 1 is a fundamental course in mathematics that focuses on the study of algebraic operations and their applications. In this summer Algebra 1 course, students will learn the basics of algebraic expressions, equations, and inequalities and apply them to linear functions, graphing, and systems of equations.
The course will begin with an introduction to variables, expressions, and equations, including how to solve equations using the four operations. Students will learn how to solve and graph linear equations and inequalities using slope and intercepts.
After mastering the basics, students will move on to more complex topics, such as quadratic equations, polynomials, factoring, and rational expressions. They will also learn about the properties of exponents and roots, as well as how to work with scientific notation.
Throughout the course, students will be expected to apply algebraic concepts to real-world problems and use critical thinking skills to solve challenging mathematical problems. By the end of the course, students will have a solid foundation in algebra and be prepared to move on to higher-level math courses.
Algebra 2
Algebra 2 goes deeper into the study of functions, equations, and graphs learned in Algebra 1. In an Algebra 2 summer course, students cover a lot of material in a condensed period of time, typically over the course of six to eight weeks. Here is a summary of what a typical Algebra 2 summer course might cover:
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Functions: Students begin by reviewing the concept of a function, and learn how to analyze and graph different types of functions, including linear, quadratic, exponential, and logarithmic functions.
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Systems of Equations and Inequalities: Students learn how to solve systems of linear equations and inequalities, both algebraically and graphically. They also learn how to solve and graph systems involving other types of equations, such as quadratic, exponential, and logarithmic equations.
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Polynomials: Students learn how to factor and solve polynomial equations, including quadratic, cubic, and higher-degree polynomials. They also learn how to use the Remainder and Factor Theorems to analyze polynomial functions.
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Rational Functions: Students learn how to analyze and graph rational functions, including how to find the domain, vertical and horizontal asymptotes, and intercepts.
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Conic Sections: Students learn how to graph and analyze conic sections, including circles, ellipses, hyperbolas, and parabolas.
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Sequences and Series: Students learn how to analyze and graph sequences and series, including arithmetic and geometric sequences, as well as finite and infinite series.
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Trigonometry: Students learn the basic trigonometric functions (sine, cosine, tangent) and their inverses, and how to use them to solve right triangles and other problems.
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Matrices: Students learn how to perform operations on matrices, including addition, subtraction, multiplication, and inversion, as well as how to use matrices to solve systems of equations.
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Probability and Statistics: Students learn the basics of probability and statistics, including how to calculate probabilities, analyze data sets, and use statistical measures such as mean, median, and mode.
Throughout the course, students also develop problem-solving skills, learn to work with real-world applications, and become proficient in using graphing calculators and other technology to aid in their studies. By the end of the course, students should have a solid foundation in algebraic concepts and techniques, which will prepare them for more advanced courses in math and science.
Pre-Calculus
This course will cover a variety of topics, including functions, graphs, and algebraic manipulation. Students will learn how to analyze functions, find zeros, determine asymptotes, and sketch graphs. They will also explore the properties of polynomial, rational, exponential, logarithmic, and trigonometric functions.
The course will also briefly cover advanced topics such as vectors, matrices, and conic sections. Students will learn how to perform operations on vectors, solve systems of equations using matrices, and identify the characteristics of different types of conic sections.
In addition to learning these concepts, students will also develop problem-solving skills through the use of real-world applications. They will learn how to model and solve problems involving optimization, linear programming, and other mathematical modeling techniques.
By the end of the course, students will have a strong foundation in Precalculus and will be well-prepared to move on to advanced mathematics courses, including calculus. They will have the tools they need to analyze and solve complex mathematical problems and to apply these skills in a variety of real-world contexts.
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