Assignment 1:
Mathcounts Mini related to the "Set" concept
Download the word problems below the video and work on them for this week.
Pascal's Triangle from Math is Fun.
Below is problem of the week, which continues with Evan's problem from last week so read it carefully.
Two
players play a game starting with a pile of 26 sticks. The players
alternate turns, each taking 1, 2, or 3 sticks on his or her turn.The player who takes the last stick wins.Who has the winning strategy in this game, the first player or the second player? How many sticks he/she needs to take? Why?
Assignment 2:
Review special right triangles: Notes from my blog
30-60-90 Triangles from Art of Problem Solving
Powers of Pythagorean Triples from Art of Problem Solving
Working together rate problems from Art of Problem Solving.
Showing posts with label Pythagorean Triples. Show all posts
Showing posts with label Pythagorean Triples. Show all posts
Tuesday, April 16, 2013
Tuesday, December 11, 2012
Review: Shoestring method, Heron's formula, Pythagorean Triples and Others related to Area of a triangle or polygon
Please give me feedback if there is any error or what concepts to be included for future practice tests. Thanks a lot in advance.
Online practices on finding the area of a triangle or irregular polygons.
Click here for the timed online test. Type in your first name and only write down "number" answers.
Before trying out the online timed test, here are some reminders.
a. If the irregular polygon include the origin, then using that as a starting point for shoestring method might save some calculation time.
b. There are Pythagorean Triples hidden in lots of questions that ask for the area of a triangle given three side lengths. Thus, if you find the side length that matches the triples or multiples of the triples, it might be much easier to use that instead of heron's formula.
c. For quadrilaterals, if the diagonals are perpendicular to each other, such as rhombus, kite or others, it's much easier to use D1* D2 / 2 to get the area.
d. Sometimes breaking the polygon into different smaller parts is the easiest way to find the answer.
e. Deliberate practices are the key to steady progress.
Have fun problem solving!!
Online practices on finding the area of a triangle or irregular polygons.
Click here for the timed online test. Type in your first name and only write down "number" answers.
Before trying out the online timed test, here are some reminders.
a. If the irregular polygon include the origin, then using that as a starting point for shoestring method might save some calculation time.
b. There are Pythagorean Triples hidden in lots of questions that ask for the area of a triangle given three side lengths. Thus, if you find the side length that matches the triples or multiples of the triples, it might be much easier to use that instead of heron's formula.
c. For quadrilaterals, if the diagonals are perpendicular to each other, such as rhombus, kite or others, it's much easier to use D1* D2 / 2 to get the area.
d. Sometimes breaking the polygon into different smaller parts is the easiest way to find the answer.
e. Deliberate practices are the key to steady progress.
Have fun problem solving!!
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