Math 9a, 2022-23

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Room: HUM3016
Time: Sunday 11:10AM - 12:45PM
Grades: 9-10
Prerequisites: Math 8 or placement test
Material fee: $15.00

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Description: This is the tenth (10) year in the sequence of the 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. "

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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 09/18: Algebra classwork: Baseline review test  |  Geometry classwork: Baseline review test  |  Math 9a Welcome Letter: Welcome Letter  |  
  Review carefully the handouts. The homework assignment for the next class is to complete the placement tests (solve the problems you have not solved or solved incorrectly) and solve all previous years' placement test problems which are listed in the Algebra classwork handout. The repeating problems you will only need to solve once.
  
• Assigned on 09/25: Algebra Classwork: Elements of mathematical logic. Notations.  |  Geometry Classwork: Commensurate segments. Euclidean algorithm.  |  Homework: Assignment for October 2  |  
  
• Assigned on 10/2: Algebra Classwork: Predicate logic. Negation laws. Logical fallacies.  |  Geometry Classwork: Thales proportionality theorem. Similarity.  |  Homework: Assignment for October 9  |  
  
• Assigned on 10/16: Algebra Classwork: Mathematical induction. Sequences. Series.  |  Homework: Assignment for October 23  |  
  
• Assigned on 10/23: Algebra Classwork: Mathematical induction (contd). Newton's binomial.  |  Geometry Classwork: Direct and inverse theorem. Thales and similarity.  |  Homework: Assignment for October 30  |  
  
• Assigned on 10/30: Algebra Classwork: Arithmetic and geometric mean inequality.  |  Geometry Classwork: Similarity and homothety. Property of a bisector.  |  Homework: Assignment for Nov. 6  |  
  
• Assigned on 11/6: Algebra Classwork: Recap: Euclidean algorithm. Modular arithmetic  |  Geometry Classwork: Law of Lever. Method of mass points.  |  Homework: Assignment for Nov. 13  |  
  
• Assigned on 11/13: Algebra Classwork: Continued fraction representation homework review  |  Geometry Classwork: Law of Lever. Method of mass points.  |  Homework: Assignment for Nov. 20  |  
  
• Assigned on 11/20: Algebra Classwork: Elements of set theory.  |  Geometry Classwork: Mass points. Extended Ceva and Menelaus theorem.  |  Homework: Assignment for Dec. 4  |  
  
• Assigned on 12/4: Algebra Classwork: Sets. Inclusion-exclusion principle. Probability.  |  Geometry Classwork: Solving problems using mass points. Pappus theorem  |  Homework: Assignment for Dec. 11  |  
  
• Assigned on 12/11: Algebra Classwork: Inclusion exclusion. Cartesian product of sets.  |  Geometry Classwork: Inscribed angle theorem. Ptolemy theorem.  |  Homework: Assignment for Dec. 18  |  
  
• Assigned on 12/18: Algebra Classwork: Maps. Functions. Injection, bijection, surjection.  |  Geometry Classwork: Euclid's theorems corollaries. Nine point circle.  |  Homework: Assignment for Jan. 8  |  
  
• Assigned on 01/8: Algebra Classwork: Equivalence relations on sets. Partitions.  |  Geometry Classwork: Method of coordinates. Apollonius problem.  |  Homework: Assignment for Jan 15  |  
  
• Assigned on 01/15: Algebra Classwork: Comparing finite and infinite sets. Cardinality.  |  Homework: Assignment for January 22  |  
  
• Assigned on 01/22: Algebra Classwork: Comparing infinite sets. Cardinality (continued).  |  Geometry Classwork: Method of coordinates: curves of the second degree  |  Homework: Assignment for Jan. 29  |  
  
• Assigned on 01/29: Algebra Classwork: Number sets. Irrational numbers. Dedekind cuts.  |  Geometry Classwork: Curves of the second degree (contd). H/w review  |  Homework: Assignment for Feb 5  |  
  
• Assigned on 02/5: Algebra Classwork: Powers and roots. Homework review.  |  Geometry Classwork: Curves of the second degree. Optical property.  |  Homework: Assignment for Feb. 12  |  
  
• Assigned on 02/12: Geometry Classwork: Sine and Cosine theorems. Trigonometry.  |  Homework: Assignment for Feb 26  |  
  
• Assigned on 02/26: Algebra Classwork: Polynomials. Roots. Vieta theorem.  |  Geometry Classwork: Trigonometric formulas. Trigonometric functions.  |  Homework: Assignment for March 5  |  
  
• Assigned on 03/5: Algebra Classwork: Review: functions and graphs  |  Geometry Classwork: Trigonometry homework review.  |  Homework: Assignment for March 12  |  
  
• Assigned on 03/12: Algebra Classwork: Trigonometry homework review  |  Geometry Classwork: Vectors. Dot product.  |  Homework: Assignment for March 19  |  
  
• Assigned on 03/19: Algebra Classwork: Complex numbers.  |  Geometry Classwork: Solving vector problems.  |  Homework: Assignment for March 26  |  
  
• Assigned on 03/26: Algebra Classwork: Complex numbers. De Moivre formula.  |  Geometry Classwork: Solving vector problems.  |  Homework: Assignment for April 2  |  
  
• Assigned on 04/2: Algebra Classwork: Complex numbers. Euler's formula.  |  Homework: Assignment for April 16  |  
  
• Assigned on 04/16: Algebra Classwork: Complex numbers wrap-up. Cardano formula.  |  Homework: Assignment for April 23  |  
  
• Assigned on 04/23: Classwork: Complex numbers and trigonometry test  |  
  Please complete problems that you have not solved in the test and in the previous homework, assigned on April 16
  
• Assigned on 04/30: Algebra Classwork: Minima and maxima. Homework assignment  |  
  
• Assigned on 05/7: Geometry Classwork: Inversive Geometry  |  Homework: Assignment for May 14  |  
  
• Assigned on 05/14: Geometry Classwork: Inversive Geometry (continued)  |  Homework: Assignment for May 21  |  
  
• Assigned on 05/21: Geometry Classwork: Inversive Geometry homework review  |  
  There is no new homework assigned for the summer break. Please go over this year's homework assignments and solve problems that you have not solved during the year.