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Math 7b, 2020-21
Room:
Time: Sunday 12:05PM - 1:40PM
Grades: 7-8
Prerequisites:
Material fee: $0.00
Homeworks
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any redistribution or commercial use is prohibited
- Assigned on 09/20: Homework: Review of Math 6: Basic Logic, Sets |
Review of Basic Logic and Sets from Math 6
- Assigned on 09/27: Homework: Review of Math 6: Factorials, Permutations, and Se |
Second part of Math 6 review
- Assigned on 10/4: Homework: Algebraic expressions |
Algebraic operations expansion, factorization,
formulas for a fast multiplication
- Assigned on 10/18: Homework: Algebraic expressions part 2 |
Algebraic operations expansion, factorization, formulas for a fast multiplication. More on powers.
- Assigned on 10/25: Homework: Algebraic expressions - roots and Pythagoras th |
Algebraic identities with powers and roots. Pythagoras theorem.
- Assigned on 11/1: Homework: Arithmetic sequences (progressions) |
Arithmetic sequences: finding elements and sums
- Assigned on 11/8: Homework: Geometric sequences |
Geometric sequences; finding common ration, elements, the sum of first n-elements
- Assigned on 11/15: Homework: Introduction to combinatorics, Pascal's triangle |
Introduction to combinatorics, Pascal's triangle
- Assigned on 11/22: Homework: Binomial coefficients nCk - applications |
Problems using binomial coefficients, calculating coefficients using Pascal's triangle or nCk.
- Assigned on 12/6: Homework: Binomial probability |
Calculating probability using the binomial coefficient formula nCk, and the binomial probability formula.
- Assigned on 12/13: Homework: Binomial probability (extended) |
Calculating probability using the binomial probability formula. Practice.
- Assigned on 12/20: Homework: Probability review |
We had a math battle today. HW is on reviewing probability.
- Assigned on 01/10: Homework: Introduction to quadratic equations |
Solving by factorizing and completing the square. Note: submit only problems 2,3, and 4.
- Assigned on 01/17: Homework: The quadratic formula |
Solving quadratic equations: factorizing by completing the square and using the quadratic formula
- Assigned on 01/24: Homework: Vieta's formulas |
Solving quadratic equations. Introducing Vieta's formulas.
- Assigned on 01/31: Homework: Generalized Vieta's Formulas |
Solving quadratic and higher-order equations using Vieta's formulas
- Assigned on 02/7: Homework: Solving inequalities |
Solving linear, quadratic, and rational inequalities.
- Assigned on 02/21: Homework: Inequalities, exploring quadratic functions |
Practice solving inequalities. Explore the parameters in the quadratic function. Convert to vertex form using completing of the square method.
- Assigned on 02/28: Homework: Inequalities - interval method |
Solving quadratic inequalities using the interval method. Converting quadratic function into a vertex form.
- Assigned on 03/7: Homework: Polynomial inequalities - snake method |
Polynomial inequalities, including rational, using the snake method.
- Assigned on 03/14: Homework: Coordinate geometry |
Review: line, slope, distance, midpoint
- Assigned on 03/21: Homework: Coordinate geometry, circle |
Coordinate geometry, equation of a circle, function transformations
- Assigned on 03/28: Homework: Coordinate geometry, parabola |
Parabola - review. Finding focus and directrix.
- Assigned on 04/11: Homework: Coordinate geometry, adding graphs |
Adding graphs
- Assigned on 04/18: Homework: Trigonometry - basic definitions |
Basic definitions - sin and cos
- Assigned on 04/25: Homework: Trigonometry - tan and law of sines |
Trigonometry, using sin, cos, tan definitions, and the law of sines.
- Assigned on 05/2: Homework: Trigonometry - radians and unit circle |
Introducing radians as a new measure of an angle, and the trig circle as a way to easily find sin and cos of angles.
- Assigned on 05/9: Homework: Trigonometry - trigonometric functions |
Exploring the trigonometric functions sin(x) and cos(x)
- Assigned on 05/16:
Solved trigonometric equations in class. No homework assigned.
- Assigned on 05/23:
Last day of classes, Math Battle (Review). No homework assigned.