At least one problem on each Meet will be nearly identical to a problem from the corresponding Coyote series Sample Meet. So check out the problems in the Sample Meet 1 "Coyote"!!
In general, the first two problems for each event are considered "quickies" but all problems are worth a single point.
Meet 4 includes at least one problem related to each of the following topics:
● Geometric Sequences and Series: I recommend that students understand the derivation of the sum of a series - since these aren't on the formula sheet, knowing the “multiply by 𝑟 and subtract” trick is more reliable than rote memorization.
● Vieta’s Formulas: Specifically, finding the sum and product of roots of polynomial equations. You can find helpful videos on the quadratic case in section 10.4 of AoPS Algebra 1.
● Circles: Students should be able to find the center and radius of a circle equation by completing the square.
● Simon’s Favorite Factoring Trick: This topic may be new to many of you and your students - I recommend watching and sharing this AoPS video.
● Sticks and Stones (sometimes called Stars and Bars): Another fun counting technique which isn’t generally covered in school. I recommend excerpt 2 of Competition Math for Middle School or this Numberphile video for this topic.
● Expected Value: Introductory videos are included with chapter 11 of AoPS Counting & Probability.
EVENT A - Algebra
4A.1. Optimization Problems
4A.2. Roots of Polynomial Equations
4A.3. Geometric Sequences and Series
4A.4. More Logarithms and Exponents
EVENT B - Geometry & Trigonometry
4B.1. Area, Perimeter, & Angles in Circles
4B.2. Lengths involving Circles
4B.3. Analytic Geometry of Circles
4B.4. Law of Sines & Law of Cosines
EVENT C - Counting, Probability and Statistics, Number Theory
4C.1. More Counting and Probability
4C.2. Expected Value
4C.3. Remainders & Modular Arithmetic
4C.4. Finding Integer Solutions