“Nothing in life is to be feared, it is only to be understood. Now is the time to understand more, so that we may fear less.”

― Marie Curie

Course Features

Students will learn new concepts by investigating real-life problems. Higher order thinking skills will be used by giving students real-world situations and having them come up with answers.

Students will be guided to make some observations of their surrounding worlds, then be prompted to ask valuable questions, form reasonable hypotheses, and make predictions.

Students will learn scientific facts in class and acquire skills in research methodology, which will prepare them fully for high school science.

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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