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Information shown on this page is for the 2022-23 semester, not the current semester.
Teacher:
Room:
math7d
Time:
18:30-20:05
Grades:
7-8
Prerequisites:
Material fee:
0
Enrollment cap:
14
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 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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Binomial coefficients nCk and their applications in problems. Finding the number of combinations and reading nCk values using Pascal's triangle.
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Converting the quadratic trinomial into a vertex form, practice solving quadratic inequalities
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Review from Math 6 on Classical Logic and Sets
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Review Topics from Math 6 - sets and notation, permutation problems, sequences
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Expanding and factorizing expressions using the formulas for fast multiplication, examples of rational expressions (more complicated fractions with variables in the denominator)
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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.
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Algebraic identities in rational expressions, quadratic equations with factoring, Pythagoras theorem,
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Number sequences, arithmetic sequences, the sum of an arithmetic sequence
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Geometric sequences: common ratio, finding the nth elements, the sum of the first n-elements
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More problems using combinations, permutations, and the binomial probability formula. The problems with (*) are optional.
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Introduction to combinatorics, permutations, and combinations formulas. Using Pascal's triangle to find the binomial coefficients.
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Using the binomial coefficients to count and calculate probabilities in different games. Introducing the binomial probability formula.
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Review: algebraic expressions and combinatorics
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Intro to solving incomplete quadratic equations by factoring and completing the square
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Solving quadratic equations by completing the square and by using the quadratic formula
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Solving quadratic equations using Vieta's formulas
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Using Vieta's formula for higher-order polynomials, solving quadratic equations with parameters
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Solving linear and quadratic inequalities in factored form.
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Solving quadratic inequalities using the interval method
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Solving inequality of higher than second order using the snake method
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Coordinate geometry: distance between points, mid-point, and shifting functions.
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HW due Apr 12. Focus and directrix of a parabola
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Adding graphs using knowledge of graphs for the basic functions and transformations, sketching, and adding on the same coordinate system.
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Using the right triangle to define the functions sin(angle), cos(angle)
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Introducing tan function, the law of sines
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Converting angles from degrees to rad, using the unit circle for sin and cos of an angle
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Introduce the cosine function
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There is nothing to submit for next week! Please review.