Teacher:
Room:
HUM3015
Time:
Sunday 09:15-10:50
Grades:
9-11
Prerequisites:
Material fee:
0
Enrollment:
3/14
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.
Homeworks
These homeworks are copyrighted material, posted here for use bySchoolNova 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
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Classwork: Complex numbers. De Moivre formula. n-th root. | Homework: Assignment for May 18 |Assigned on 2025-05-11:
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Algebra Classwork: Complex numbers | Geometry classwork. : Trigonometry homework review. | Homework: Assignment for May 11 |Assigned on 2025-05-04:
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Classwork: Trigonometry review. Trigonometric sum. | Homework: Assignment for May 4 |Assigned on 2025-04-27:
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Algebra Classwork: Polynomials and factorization. Vieta theorem. | Geometry classwork: Trigonometric formulas and equations | Homework: Assignment for for Apr 27 |Assigned on 2025-04-06:
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Algebra Classwork: Functions and graphs |Assigned on 2025-03-30:No new homework this time. Complete and submit problems from the previous homework.
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Algebra classwork: Powers and roots. Homework review | Geometry classwork: Sine and cosine theorems. Trigonometry. | Homework: Assignment for March 30 |Assigned on 2025-03-23:Please complete the previous homework assignments. Try to do what you can from the new assignment looking through handouts. We will go over the handouts in detail during the next class.
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Algebra classwork: Number sets. Real numbers. | Homework: Assignment for March 23-30 |Assigned on 2025-03-16:Please complete the homework assignment on comparing infinite sets and cardinality and start working on the new assignment here
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Geometry classwork: Optical property of ellipse, hyperbola, parabola | Algebra classwork: Comparing finite and infinite sets. Cardinality. | Homework: Assignment for March 16 |Assigned on 2025-03-09:
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Algebra classwork: Equivalence relations and partitions | Homework: Assignment for March 9 |Assigned on 2025-03-02:
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Geometry classwork: Other definitions of ellipse, hyperbola, parabola. | Homework: Assignment for March 2 |Assigned on 2025-02-23:
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Geometry classwork: Method of coordinates: curves of the second degree |Assigned on 2025-02-02:No new homework assignment today - please keep working on the unsolved problems from the previous assignment and submit your new work by next class
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Classwork: Functions. Injections, surjections, bijections | Homework: Assignment for February 2 |Assigned on 2025-01-26:
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Algebra classwork: Set counting: inclusion exclusion principle | Homework: Assignment for Dec 26 |Assigned on 2025-01-19:
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Assigned on 2025-01-12:No new material/homework. We completed the material in the Dec. 5 handouts - please complete the unsolved problems from Dec 5 and previous handouts.
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Algebra classwork: Set theory. Cartesian product of sets. | Geometry classwork: Method of coordinates. Apollonius problem. | Homework: Assignment for Jan 12 |Assigned on 2025-01-05:
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Geometry classwork: Ptolemy theorem.The nine point circle problem. | Homework: Assignment for Jan 5 |Assigned on 2024-12-15:
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Algebra classwork: Introduction to set theory | Geometry classwork: Euclid's theorems. Euler's theorem. | Homework: Assignment for Dec 15 |Assigned on 2024-12-08:
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Algebra classwork: Continued fractions. Homework review. | Geometry classwork: Problems using center of mass. Pappus theorem. | Homework: Assignment for Dec 8 |Assigned on 2024-11-24:
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Algebra classwork: Euclid's algorithm and continued fractions | Geometry classwork: Inscribed angle theorem. Rowland circle | Homework: Assignment for Nov 24 |Assigned on 2024-11-17:
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Geometry classwork: Law of lever and center of mass. Menelaus theorem. | Homework: Assignment for Nov 17 |Assigned on 2024-11-10:
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Geometry classwork: The Law of Lever. Mass points. Homework review | Homework: Assignment for Nov 10 |Assigned on 2024-11-03:
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Algebra classwork: Arithmetic-Geometric mean inequality. Homework rev | Geometry classwork: Similarity and Homothety. Generalized Pythagorean. | Homework: Assignment for Nov 2 |Assigned on 2024-10-27:
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Algebra classwork: Mathematical induction (contd). Newton's binomial. | Geometry classwork: Direct and inverse Ceva theorem. Homework review. | Homework: Assignment for Oct. 27 |Assigned on 2024-10-20:
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Algebra Classwork: Mathematical induction. Homework review. | Homework: Assignment for Oct 20 |Assigned on 2024-10-06:
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Algebra classwork: Mathematical logic. Predicates. Quantifiers. | Geometry classwork: Thales intercept theorem. Similarity. | Homework: Assignment for Oct. 6 |Assigned on 2024-09-29:
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Algebra classwork: Elements of mathematical logic. Notations. | Geometry classwork: Commensurate segments. Euclidean algorithm. | Homework: Assignment for September 29 |Assigned on 2024-09-22:
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Welcome letter: Math 9a 2024-2025 | Baseline review test: Algebra | Baseline review test: Geometry |Assigned on 2024-09-15: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.