Math 7d (online), 2022-23

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Room: Online
Time: Wednesday 6:30PM - 8:05PM
Grades: 7-8
Prerequisites: Math 6 or placement test
Material fee: $0.00

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Description: In math 7 we will study more advanced topics than in math 6 in the areas of basic combinatorics and probability, quadratic equations and inequalities, coordinate geometry, and basic trigonometry. Studying online requires strong commitment - it also means that some of the learning will be done independently between the classes. Students should be equipped with a working web camera and a microphone. If possible, it is strongly recommended that the devices used for the meetings should have on-screen writing capabilities: e.g., an iPad, a tablet, or any touchscreen device as a cell phone. A basic stylus pen with a capacitive disc tip (any universal low-cost stylus) could be used to write on cell phone screens. Students will be expected to solve problems during class time individually and in groups, actively participate, and answer questions.

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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 11/30: Homework: Binomial coefficients and Pascals triangle  |  
  Binomial coefficients nCk and their applications in problems. Finding the number of combinations and reading nCk values using Pascal's triangle.
  
• Assigned on 02/15: Homework: Quadratic function in a vertex form  |  
  Converting the quadratic trinomial into a vertex form, practice solving quadratic inequalities
  
• Assigned on 09/18: Homework: Review of Math 6  |  
  Review from Math 6 on Classical Logic and Sets
  
• Assigned on 09/28: Homework: Review of Math 6(2)  |  
  Review Topics from Math 6 - sets and notation, permutation problems, sequences
  
• Assigned on 10/12: Homework: Algebraic operations  |  
  Expanding and factorizing expressions using the formulas for fast multiplication, examples of rational expressions (more complicated fractions with variables in the denominator)
  
• Assigned on 10/16: Homework: Algebraic operations  |  
  Algebraic expressions with powers and fractions. Please note that Problem 5 is optional and we will be working on how to solve such equations next week.
  
• Assigned on 10/26:
  Algebraic identities in rational expressions, quadratic equations with factoring, Pythagoras theorem,
  
• Assigned on 11/2: Homework: Arithmetic sequences  |  
  Number sequences, arithmetic sequences, the sum of an arithmetic sequence
  
• Assigned on 11/9: Homework: Geometric sequences  |  
  Geometric sequences: common ratio, finding the nth elements, the sum of the first n-elements
  
• Assigned on 11/13: Homework: Binomial probability formula Part 2  |  
  More problems using combinations, permutations, and the binomial probability formula. The problems with (*) are optional.
  
• Assigned on 11/16: Homework: Combinatorics and Pascal's triangle  |  
  Introduction to combinatorics, permutations, and combinations formulas. Using Pascal's triangle to find the binomial coefficients.
  
• Assigned on 12/4: Homework: Binomial probability formula  |  
  Using the binomial coefficients to count and calculate probabilities in different games. Introducing the binomial probability formula.
  
• Assigned on 01/4: Homework: Review of topics  |  
  Review: algebraic expressions and combinatorics
  
• Assigned on 01/11: Homework: Introduction to quadratic equation  |  
  Intro to solving incomplete quadratic equations by factoring and completing the square
  
• Assigned on 01/18: Homework: Quadratic formula  |  
  Solving quadratic equations by completing the square and by using the quadratic formula
  
• Assigned on 01/25: Homework: Quadratic equations and Vieta's formulas  |  
  Solving quadratic equations using Vieta's formulas
  
• Assigned on 02/1: Homework: Generalized Vieta's formulas  |  
  Using Vieta's formula for higher-order polynomials, solving quadratic equations with parameters
  
• Assigned on 02/8: Homework: Solvving linear and quadratic inequalities  |  
  Solving linear and quadratic inequalities in factored form.
  
• Assigned on 03/1: Homework: Inequalities - interval method  |  
  Solving quadratic inequalities using the interval method
  
• Assigned on 03/8: Homework: Inequalities - snake method method  |  
  Solving inequality of higher than second order using the snake method
  
• Assigned on 03/15: Homework: Coordinate geometry  |  
  Coordinate geometry: distance between points, mid-point, and shifting functions.
  
• Assigned on 03/29: Homework: Coordinate system, parabola revisited  |  
  HW due Apr 12. Focus and directrix of a parabola
  
• Assigned on 04/12: Homework: Coordinate geometry, adding graphs  |  
  Adding graphs using knowledge of graphs for the basic functions and transformations, sketching, and adding on the same coordinate system.
  
• Assigned on 04/19: Homework: Trigonometry, sin and cos definitions  |  
  Using the right triangle to define the functions sin(angle), cos(angle)
  
• Assigned on 04/26: Homework: Trigonometry, tan and law of sines  |  
  Introducing tan function, the law of sines
  
• Assigned on 05/3: Homework: Trigonometry, radians and the unit circle  |  
  Converting angles from degrees to rad, using the unit circle for sin and cos of an angle
  
• Assigned on 05/10: Homework: Trigonometry, the cosine function  |  
  Introduce the cosine function
  
• Assigned on 05/17: Homework: Review Outline for Math 7  |  
  There is nothing to submit for next week! Please review.