Math 9a, 2021-22
Teacher: Igor Zaliznyak
Room: EarthScience181
Time: Sunday 10:15AM - 11:45AM
Grades: 9-10
Prerequisites: Math 8 or placement test
Material fee: $10.00
Description: This is the tenth (10) year in the sequence of the mathematical courses offered by SchoolNova. 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. Vectors and vector algebra.
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 09/26: Classwork: Math 9 Algebra baseline test | Classwork: Math 9 Geometry baseline test |
Solve the problems in the test handouts that were not done in class. In algebra, this includes placement tests from previous years. In geometry, please go over the proofs of Pythagorean theorem that we considered in class and make sure you understand the Euclid's "equal pants" proof. Go over the review topics - we will consider these briefly next Sunday. Consider and write down the solution for the cuboid problem: How many rectangular cuboids with integer sides have volume equal to 1024? In order to understand it, consider the easier, rectangle problem: How many rectangles with integer sides have area equal to 1024?
- Assigned on 10/3: Algebra classwork: Elements of mathematical logic. Notations. | Geometry classwork: Commensurate segments. Thales theorem. | Homework: Assignment for Oct 17 |
- Assigned on 10/17: Algebra classwork: Elements of mathematical logic (continued). | Geometry Classwork: Direct and inverse theorem. Ceva. Similarity. | Homework: Assignment for October 24 |
- Assigned on 10/24: Algebra Classwork: Math Induction. Sequences and series. | Geometry Classwork: Similarity and homothety. Extended Pythagorean. | Homework: Assignment for Oct. 31 |
- Assigned on 10/31: Algebra Classwork: Arithmetic and Geometric mean. Newton's binomial. | Geometry Classwork: Homework review. Law of lever. Mass points. | Homework: Assignment for Nov. 7 |
- Assigned on 11/7: Algebra Classwork: Recap: Euclidean algorithm. Modular arithmetic | Geometry Classwork: Law of Lever. Method of mass points. | Homework: Assignment for Nov. 14 |
- Assigned on 11/14: Algebra Classwork: Homework review. Elements of set theory | Geometry Classwork: Problems on method of mass points. Pappus Theorem. | Homework: Assignment for Nov. 21 |
- Assigned on 11/21: Algebra Classwork: Elements of set theory. Homework review. | Geometry Classwork: Inscribed angle theorem. Ptolemy theorem. | Homework: Assignment for Dec. 5 |
- Assigned on 12/5: Algebra Classwork: Sets. Inclusion-exclusion principle. Probability. | Geometry Classwork: Euler's theorems. Nine point circle. | Homework : Assignment for Dec. 12 |
- Assigned on 12/12: Algebra Classwork: Cartesian product of sets. Homework review. | Geometry Classwork: Euclid's theorems. Euler's line. 9 point circle. | Homework: Assignment for Dec. 19 |
We continue working on Geometry classwork handout from last class.
- Assigned on 12/19: Algebra Classwork: Functions. Injections. Surjections. Bijections. | Homework: Geometry. Inscribed angle, problems review. | Homework: Assignment for Jan. 9 |
- Assigned on 01/9: Algebra Classwork: Equivalence relations on sets. Partitions. | Geometry Classwork: Method of coordinates. Apollonius problem. | Homework: Assignment for Jan. 16 |
- Assigned on 01/16: Algebra Classwork: Comparing infinite sets. Cardinality. | Homework: Method of coordinates: curves of the second degree | Homework: Assignment for Jan. 23 |
- Assigned on 01/23: Algebra Classwork: Number sets. Irrational numbers. Dedekind cuts. | Geometry Classwork: Curves of the second degree (contd). H/w review | Homework: Assignment for Jan 30 |
- Assigned on 01/30: Algebra Classwork: Powers and roots. Homework review. | Geometry Classwork: Curves of the second degree. Optical property. | Homework: Assignment for Feb 6 |
- Assigned on 02/6: Geometry Classwork: Sine and Cosine theorems. Trigonometry | Homework: Assignment for Feb 13 |
- Assigned on 02/13: Algebra Classwork: Polynomials. Roots. Vieta theorem. | Geometry Classwork: Trigonometric formulas. Trigonometric functions. | Homework: Assignment for Feb 27 |
- Assigned on 02/27: Geometry Classwork: Inversive Geometry | Homework: Assignment for March 6 |
- Assigned on 03/6: Geometry Classwork: Inversive Geometry (continued) | Algebra Classwork: Polynomials and factoring (continued) | Homework: Assignment for March 13 |
- Assigned on 03/13: Classwork: Inversive Geometry homework review | Homework: Assignment for March 20 |
- Assigned on 03/20: Geometry classwork: Trigonometry homework review | Algebra Classwork: Review: functions and graphs | Homework: Assignment for March 27 |
- Assigned on 03/27: Classwork: Geometry. Vectors. Dot product. | Classwork: Trigonometry homework review. | Homework: Assignment for April 3 |
- Assigned on 04/3: Algebra Classwork: Complex numbers. | Geometry Classwork: Solving vector problems. | Homework: Assignment for April 10 |
- Assigned on 04/10: Algebra Classwork: Complex numbers. De Moivre formula. | Geometry Classwork: Vectors and vector problems. | Homework: Assignment for April 24 |
- Assigned on 04/24: Algebra Classwork: Complex numbers. Euler's formula. | Homework: Assignment for May 1 |
- Assigned on 05/1: Algebra Classwork: Complex numbers wrap-up. Cardano formula. | Homework: Assignment for May 8 |
- Assigned on 05/8: Algebra Classwork: Minima and maxima. Homework assignment. |
- Assigned on 05/15: Classwork: Group theory. | Homework: Group theory assignment for May 22 |
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