“In mathematics, the art of proposing a question must be held of higher value than solving it.”

— by Georg Cantor

Course Features

Unlike the elementary-level math program, Classover's middle school math program focuses on developing students' abstract thinking.

Intermediate class uses basic but essential math problems to help students master the basics of math learning. Advanced class is designed for students who have a solid foundation but want to go further.

Math instruction is organized around problem-solving exercises, giving students additional opportunities to think critically, express their own creative ideas, and interact mathematically with their classmates.

Course Topics

- Intermediate
- Advanced

Content Structure

- Ratio and Proportional Relationships
- Expressions and equations
- Geometry
- Statistics and probability

Mathematical Thinking

- Make sense of problems and persevere in solving them
- Reason abstractly and quantitatively
- Construct viable arguments and critique the reasoning of others
- Model with mathematics
- Use appropriate tools strategically
- Attend to precision
- Look for and make use of structure
- Look for and express regularity in repeated reasoning

Topics

- Graph inequalities on number lines
- Identify equivalent expressions
- Ratio and Rates: word problems
- Graph triangles and quadrilaterals
- Graph solutions of two-step inequalities
- Probability of simple events
- Graph a line from an equation in slope-intercept form
- Pythagorean theorem: find the length of the hypotenuse

Advanced

Content Structure

- The number system
- Expressions and equations
- Functions
- Geometry
- Statistics and probability

Mathematical Thinking

- Make sense of problems and persevere in solving them
- Reason abstractly and quantitatively
- Construct viable arguments and critique the reasoning of others
- Model with mathematics
- Use appropriate tools strategically
- Attend to precision
- Look for and make use of structure
- Look for and express regularity in repeated reasoning.

Topics

- GCF and LCM: word problems
- Evaluating numerical expressions involving integers
- Multiplication and division with exponents
- Multiply and divide numbers written in scientific notation
- Mutiply and divide rational numbers
- Identify proportional relationships from graphs and equations
- Multi-step problems with precents
- Identify complementary and supplementary, vertical, adjacent, and congruent angles
- Pythagorean theorem
- Three-dimensional figures
- Volume and surface area of similar solids
- Evaluate absolute value expressions
- One-variable equations and inequalities
- Solve a system of equations using any method
- Make predictions with scatter plots

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