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Archive for November, 2017

An Introduction to Probability ppt

November25

Here is a helpful Introduction to Probability, including the Monty Hall problem (The Monty Hall problem is a brain teaser, in the form of a probability puzzle, loosely based on the American television game show Let’s Make a Deal). Adapted from an unknown source. Probability Intro-1i2cn0v

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A billion trees? Let’s break that down to human levels

November24

In a recent news item a comment was made about reaching a tree-planting target of 1 billion – “With the right incentives and the right conditions, one person could comfortably plant 400,000 trees in a year. So you would need just 250 people planting that amount every year for a decade (10 years) to reach […]

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Let’s get two negative about Integers!

November14

A fun skit (source unknown) to help you understand that two negatives together = a positive answer…

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Common Maths Mistakes – Summary

November14

It would be to simplistic to have a few summary mistakes that are commonly made by Math students, but I will try! 1. Don’t know my times tables (or have them handy). Yes, I know that I have calculators on my devices, but my brain is a quicker one and I need to use it […]

Is there a difference between Logic and Mathematics?

November13

Yes, there is a difference between Logic and Mathematics. David Joyce, Professor of Mathematics at Clark University makes the distinction like this – “Mathematics studies numbers, geometry, and form.  Those require definitions and axioms to characterize the subjects of study.  Logic is used to prove properties based on those definitions and axioms. Logic can also […]

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Can’t solve it? Sketch it first!

November7

When learning how to calculate surface area and volume of 3D shapes, students are often given a list of formulas without any explanation of the formulas. So when given the following problem, Find the total volume of a rectangular prism with base side lengths of 6 cm and whose height is 8 cm. Knowing the […]

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Some Common Math Errors

November6

Errors #1: This image shows a student’s working. What went wrong? Well, obviously x should = 17, not the square root of 17. Perhaps a better way to explain the error is like this: When solving equations (expressions with an equal sign) like this, remember the algebraic rule: “Whatever you do to one side, do […]

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“A Big Number % Sure!”

November6

Two young boys were riding past our house today and debating whether they had come the right way. One said to the other, “I’m a big number percent sure!” A great comment although, as it turned out, they were going up the wrong road, so I wonder how large the ‘big number’ was?

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Getting better at Math is spending more time!!

November3

Cathy O’Neil makes the following helpful comment on her blog ‘MathBabe‘ – “In reality, mostly of being good at math is really about how much you want to spend your time doing math. And I guess it’s true that if you’re slower you have to want to spend more time doing math, but if you […]

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Math Freedom with YouCubed at Stanford

November2

Don’t forget to check out the great resources at youcubed. This popular initiative at Stanford University aims to inspire, educate and empower teachers of Mathematics, transforming the latest research into accessible and practical forms. “We know from research how to teach math well and how to bring about high levels of student engagement and achievement but […]

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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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