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Posts tagged with Calculus

Teaching Math, USA Style

October15

I am no expert but, from my teaching experience in the USA, I was wondering why Mathematics is broken down into a series of fragmented courses, each with a hefty hardcover book to bend the backs of students forced to carry them? Here is one high school course structure: Algebra Geometry or Integrated Alg/Geometry Advanced […]

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6 Good Reasons to Like Algebra

September5

1) Algebra is Faster And Better Than “Basic” Math Just as multiplying two by twelve is faster than counting to 24 or adding 2 twelve times, algebra helps us solve problems more quickly and easily than we could otherwise. Algebra also opens up whole new areas of life problems, such as graphing curves that cannot […]

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Favorite bedtime reading for mathematicians …

April15
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Calculus – the language of the stars!

June9

“Mathematics is the language of the stars! It was Sir Isaac Newton who worked out a way to mathematically calculate the changing motion of the planets, etc. Sir Isaac Newton, when pondering the motions of Halley’s Comet, came to the realization that the math that had been used thus far to describe physical motion of […]

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New Tools to Explain old Newton Equations

May5

One of history’s great geniuses, Isaac Newton (yes, the mathematician with the curly hair sitting under the apple tree), developed differential equations in the 1600s. But we aren’t all geniuses, so here’s the definition given in Differential Equations for Dummies (caution – this link downloads over 300 pages!) such equations “involve derivatives, which specify how […]

Mathematics. Trust me. It’s important in your life

April27

Who uses calculus? You do. Every day. Dr Ron Sandland celebrates the International Year of the Mathematics of Planet Earth. The American writer Jodi Picoult (seen here) was invited to contribute to Dear Me, in which she wrote a letter to her younger 16-year old self. It contains some very warm and witty advice, but […]

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How to find the volume of a sphere

November9

Well, just how do we arrive at the formula for the volume of a sphere? We do know that any volume is measured in cubes of some sort and this is the same for a sphere. The formula (graphic from Wiki How) is: Perhaps we can trace this formula back to Archimedes, who was born […]

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Prepare for the hard stuff!

June29

My teacher was very clear at the introduction to Calculus, “This is going to be a very difficult topic and you will need to concentrate your hardest in order to get through!” Little did I know that his words were correct. They were words that helped me mentally prepare for a course that, although different […]

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Calculus and 3 types of Math Models

August22

  Why do we learn Mathematics? Why is Calculus important? How does Mathematics help in designing spacecraft? What are some practical applications of the kind of mathematics I might do when I get to college? Click on this short video for some ideas!

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Looking for Patterns in Calculus

August12

Below is the formula for differentiating a fraction, using the Quotient Rule. Note that the ‘v‘s form a V on the outside of the formula, while the ‘u‘s are next to each other. D = Differential. This may help some senior students quickly learn the Quotient Rule (I tried this with a student some 30min […]

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Post Support

Largest number between o and 1 million which does not contain the ‘n’ is 88

 

Rotation SAT Problem: Answer: 4 (see: https://www.youtube.com/watch?v=FUHkTs-Ipfg)

 

Which number has its letters in alphabetical order? Answer: F O R T Y

Hidden Rabbit? Clue: check the trees

How long for the stadium to fill? 45 minutes.

Where are you? the North Pole

Prize Object Puzzle: If Sue does not know where the prize is in the first question, it can’t be under the square. She must have been told it is under another shape. Apply this same logic to Colin. It is then obvious that the prize cannot be under a yellow object. That helps Sue eliminate her yellow shapes. Got the idea?

Algebra Puzzle: Answer = 1

Popular Math Problems Answers: 1, 1

Number of tabs? According to Lifehacker, the ideal number of tabs you should have open is nine. Yes, a single digit. To some, this is like playing a piano and only using a fraction of the notes!

Worst Graph? Where to start. What a visual mess and even some of the lines merge and are impossible to follow. A graph is a visual display of data, with the goal to identify trends or patterns. This is a spider’s web of information which fails to show a clear pattern at all. Solution? Well, different colors would help, or why not group in two or three graphs where trends are similar?

Number of different nets to make a cube is eleven – see this link

Homework Puzzle; The total value of the counters is 486, so halve this to get 243. Now, arrange the counters to equal this amount twice.

The graph on the left (Coronavirus) is for a time period of 30 days, while the one on the right (SARS) is for 8 months! Very poor graphical comparison and hardly relevant, unless it is attempting to downplay the seriousness of the coronavirus?

10 x 9 x 8 + (7 + 6) x 5 x 4 x (3 + 2) x 1 = 2020

NCEA Level 2 Algebra Problem. Using the information given, the shaded area = 9, that is:
y(y-8) = 9 –> y.y – 8y – 9 =0
–> (y-9)(y+1) = 0, therefore y = 9 (can’t have a distance of – 1 for the other solution for y)
Using the top and bottom of the rectangle,
x = (y-8)(y+2) = (9-8)(9+2) = 11
but, the left side = (x-4) = 11-4 = 7, but rhs = y+? = 9+?, which is greater than the value of the opp. side??
[I think that the left had side was a mistake and should have read (x+4)?]

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