Math 9a, 2024-25

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Room: HUM3015
Time: Sunday 9:15AM - 10:50AM
Grades: 9-11
Prerequisites: Math 8 or placement test
Material fee: $0.00

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Description: This is the tenth (10) year in the sequence of mathematical courses offered by SchoolNova. Math 9. Algebra: Mathematical induction and elements of mathematical logic. Elements of set theory. Infinite sets. Cardinality and dimensionality. Number sets. Functions. Algebraic equations and inequalities. Trigonometry. Complex numbers. Geometry: Advanced planimetry. Similarity. Point masses. Inscribed and circumscribed triangles and quadrilaterals. Method of coordinates. Curves of the second degree. Inversive geometry. Vectors and vector algebra. Approaching weekly homework is vital, and participating actively in class is crucial for progressing to the next level.

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Homeworks

These homeworks are copyrighted material, posted here for use by SchoolNova students and parents. Everyone else is welcome to print a copy of these materials for their personal use; any redistribution or commercial use is prohibited

• Assigned on 09/15: Welcome letter: Math 9a 2024-2025  |  Baseline review test: Algebra  |  Baseline review test: Geometry  |  
  Solve the problems from the baseline review tests and from the previous years placement tests. Some problems are repeating, but you only need to solve a problem once. You may skip those problems that we solved in class.
  
• Assigned on 09/22: Algebra classwork: Elements of mathematical logic. Notations.  |  Geometry classwork: Commensurate segments. Euclidean algorithm.  |  Homework: Assignment for September 29  |  
  
• Assigned on 09/29: Algebra classwork: Mathematical logic. Predicates. Quantifiers.  |  Geometry classwork: Thales intercept theorem. Similarity.  |  Homework: Assignment for Oct. 6  |  
  
• Assigned on 10/6: Algebra Classwork: Mathematical induction. Homework review.  |  Homework: Assignment for Oct 20  |  
  
• Assigned on 10/20: Algebra classwork: Mathematical induction (contd). Newton's binomial.  |  Geometry classwork: Direct and inverse Ceva theorem. Homework review.  |  Homework: Assignment for Oct. 27  |  
  
• Assigned on 10/27: Algebra classwork: Arithmetic-Geometric mean inequality. Homework rev  |  Geometry classwork: Similarity and Homothety. Generalized Pythagorean.  |  Homework: Assignment for Nov 2  |  
  
• Assigned on 11/3: Geometry classwork: The Law of Lever. Mass points. Homework review  |  Homework: Assignment for Nov 10  |  
  
• Assigned on 11/10: Geometry classwork: Law of lever and center of mass. Menelaus theorem.  |  Homework: Assignment for Nov 17  |  
  
• Assigned on 11/17: Algebra classwork: Euclid's algorithm and continued fractions  |  Geometry classwork: Inscribed angle theorem. Rowland circle  |  Homework: Assignment for Nov 24  |