Learn or review : How many zeros?
Learn or review : Special Right Trianlges
From Art of Problem Solving of some triangles:
Isosceles and Equilateral Triangles
Isosceles Right Triangles (45-45-90 degree special right triangles)
30-60-90 Degree Special Right Triangles
Math and Science go hand in hand so watch this fascinating video from NOVA just for inspiration.
From NOVA: What Will the Future Be Like?
Have fun problem soling and exploring !!
Wednesday, May 1, 2013
Tuesday, April 23, 2013
This Week's Work : Week 9 -- for Inquisitive Young Mathletes
Part 1:
See below for links:
They are all related to dimensional change and similar polygons.
Dimensional change questions I
Dimensional change questions II
Dimensional change questions III : Similar Triangles
Par II:
Tangent Segments and Similar Triangles from Mathcounts Mini
If you have more time, download the extra word problems to see if you can solve them at
reasonable speed and accuracy.
Online timed test and problem of the week will be sent out through e-mail.
Time: 40 minutes without a calculator.
The Monty Hall Problem explained
See below for links:
They are all related to dimensional change and similar polygons.
Dimensional change questions I
Dimensional change questions II
Dimensional change questions III : Similar Triangles
Par II:
Tangent Segments and Similar Triangles from Mathcounts Mini
If you have more time, download the extra word problems to see if you can solve them at
reasonable speed and accuracy.
Online timed test and problem of the week will be sent out through e-mail.
Time: 40 minutes without a calculator.
The Monty Hall Problem explained
Tuesday, April 16, 2013
This Week's Work : Week 8 -- for Inquisitive Young Mathletes
Assignment 1:
Using Algebra and Number Sense as Shortcuts from Mathcounts Mini
Watch the video and work on the activity sheet below the video on the same link for more practices.
Also, review the following:
\(x^{2}-y^{2}=\left( x+y\right) \left( x-y\right)\) \(\left( x+y\right) ^{2}=x^{2}+2xy+y^{2}\) \(\left( x-y\right) ^{2}=x^{2}-2xy+y^{2}\) \(\left( x+y\right) ^{2}-2xy =x^{2}+ y^{2}\)
\(\left( x-y\right) ^{2}+ 2xy =x^{2}+y^{2}\)
\(\left( x+y\right) ^{2}-4xy =\left( x-y\right) ^{2}\)
Assignment 2:
Pascal's Triangle from Math is Fun
Pascal's Triangle and Its Patterns
Assignment 3:
It'll be sent through e-mail.
Happy problem solving !!
Using Algebra and Number Sense as Shortcuts from Mathcounts Mini
Watch the video and work on the activity sheet below the video on the same link for more practices.
Also, review the following:
\(x^{2}-y^{2}=\left( x+y\right) \left( x-y\right)\) \(\left( x+y\right) ^{2}=x^{2}+2xy+y^{2}\) \(\left( x-y\right) ^{2}=x^{2}-2xy+y^{2}\) \(\left( x+y\right) ^{2}-2xy =x^{2}+ y^{2}\)
\(\left( x-y\right) ^{2}+ 2xy =x^{2}+y^{2}\)
\(\left( x+y\right) ^{2}-4xy =\left( x-y\right) ^{2}\)
Assignment 2:
Pascal's Triangle from Math is Fun
Pascal's Triangle and Its Patterns
Assignment 3:
It'll be sent through e-mail.
Happy problem solving !!
This Week's Work : Week 6 and 7 Review -- for Inquisitive Young Mathletes
Watch Joint Proportion from Art of Problem Solving
Spend some time pondering on "Work" word problems from Purple Math.
These are some very standard word problems you'll encounter in competition math.
Review --
dimensional change and probability links from previous weeks.
More practices on inverse and direct relation
From Regents Exam Prep
Link I
Link II
New concepts:
Height to the hypotenuse
How many ways to arrange the word "banana"? (with elements repeating)
Probability that two of the 3 friends were born on the same week day.
Question : If you can earn 0, 1, 3, 7 or 10 points with each shot and each person has three chances, how many scores can't be made?
Note:
Percentage increase (don't forget to minus the original 100% or 1) is very different from at what percent will it return to the original size or what is the size compared to the original.
Spend some time pondering on "Work" word problems from Purple Math.
These are some very standard word problems you'll encounter in competition math.
Review --
dimensional change and probability links from previous weeks.
More practices on inverse and direct relation
From Regents Exam Prep
Link I
Link II
New concepts:
Height to the hypotenuse
How many ways to arrange the word "banana"? (with elements repeating)
Probability that two of the 3 friends were born on the same week day.
Question : If you can earn 0, 1, 3, 7 or 10 points with each shot and each person has three chances, how many scores can't be made?
Note:
Percentage increase (don't forget to minus the original 100% or 1) is very different from at what percent will it return to the original size or what is the size compared to the original.
This Week's Work : Week 5 -- for Inquisitive Young Mathletes
Evan (a 5th grader in PA) 's Problem of the Week:
A man notices a sign in Shop-a-Lot that says: "All prices are marked 25% off today only!" He decides to buy a shirt that costs $65.12 before the discount. He then uses a $16 gift certificate and the clerk applies 12% sales tax. What is the final cost of the shirt after all the steps are applied? Express your answer to the nearest hundredth.
Solution:
When there is a discount that is 25% off, the original price is going to be 75% times the original price. Therefore, 75% of $65.12 is $48.84. Next, subtracting $16, we obtain $32.84. Finally, applying 12% sales tax, we get $32.84 x 112% (since original price is added to the sales tax "price") which is $36.7808. This rounded to the nearest hundredth is $36.78.
Assignment 1:
Painted Cube Problems
Visualization of the Painted Cube Problems
It's more fun if you dig out Legos or Unit Cubes and just build some cubes (and later rectangular prism)
and spend some time observing how it works.
Assignment 2:
Review special right triangle, Pythagorean triples, theorem :
30-60-90 , 45-45-90 special right triangle angle ratios
Dimensional Change
Inscribed and Circumscribed Circle Radius of an Equilateral Triangle
A man notices a sign in Shop-a-Lot that says: "All prices are marked 25% off today only!" He decides to buy a shirt that costs $65.12 before the discount. He then uses a $16 gift certificate and the clerk applies 12% sales tax. What is the final cost of the shirt after all the steps are applied? Express your answer to the nearest hundredth.
Solution:
When there is a discount that is 25% off, the original price is going to be 75% times the original price. Therefore, 75% of $65.12 is $48.84. Next, subtracting $16, we obtain $32.84. Finally, applying 12% sales tax, we get $32.84 x 112% (since original price is added to the sales tax "price") which is $36.7808. This rounded to the nearest hundredth is $36.78.
Assignment 1:
Painted Cube Problems
Visualization of the Painted Cube Problems
It's more fun if you dig out Legos or Unit Cubes and just build some cubes (and later rectangular prism)
and spend some time observing how it works.
Assignment 2:
Review special right triangle, Pythagorean triples, theorem :
30-60-90 , 45-45-90 special right triangle angle ratios
Dimensional Change
Inscribed and Circumscribed Circle Radius of an Equilateral Triangle
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