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