Here is a post on Lego Fractions by New York Grade 3 teacher Alycia Zimmerman. Surprisingly I found this on an art website.
Just play with the Lego blocks. Add and subtract … you can even multiply and divide.
Next time.
Here is a post on Lego Fractions by New York Grade 3 teacher Alycia Zimmerman. Surprisingly I found this on an art website.
Just play with the Lego blocks. Add and subtract … you can even multiply and divide.
Next time.
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The following maths is suitable for Year 9+
but can be presented to lower grades just to show
maths is cool!
According to The Guinness Book of Records the largest chocolate Easter Egg went on display at Le Acciaierie Shopping Centre, in Cortenuova, Italy, on 2011.
Egg Weight = 7,200 kg = 15,873 lbs
Height = 10 m = 34 ft
Circumference = 19.6 m = 64 ft
The sugar content for easter eggs is: 55-65% by weight
So we will assume the sugar content of the giant egg was in the middle:
This idea comes from Burkard and Giuseppe @ the fabulous MATHOLOGER channel. Students can make a pattern called a cardioid that pops up all over math according to Burkard.
Follow these steps. There is a pdf file below the first diagram for printing exercise sheets.
And then watch the MATHOLOGER video for a really interesting explanation.
x2 Tables on a Circle pdf file for printing
This circle graph blank could also be used for x3 and x4 tables, which produce totally different yet equally amazing patterns.
Halfway there, now it gets tricky. +52 to each point on the circle and keep multiplying by 2.
ie. 27 x 2 = 54, 28 x 2 = 56 and so on.
so 0 = 52, 1 = 53, 2 = 54, 3 = 55, 4 = 56 etc
This shape is called a CARTIOID.
The Foo Fighters play a stadium concert in Geelong TONIGHT. This is the first stadium concert in Australia in 2 years!!!!! Dave Grohl, the FF’s guitarist, is a legend. He played drums for Nirvana and is considered by many to be the best drummer in the world. Meanwhile, Taylor Hawkins, the drummer for the Foo Fighters, is also considered one of the best rock drummers ever.
In honour of this auspicious occasion and to work out what might be going on inside these rock legends’ heads, I’m reposting (below) the math article about drummers’ brains.
In a 2011 article in the New Yorker Burkhard Bilger wrote about neuroscientist David Eagleman and his research into time and the brain especially drummers’ brains.
Some of the drummers he has interviewed and/or tested include William Champion of Cold Play, Brian Eno of Roxy Music and Larry Mullen, Jnr of U2.
Eno, on keyboards (above) who was working on a U2 album, talks about Mullen’s amazing timing. They were using a click-track (computer generated beat) when mMullen complained he couldn’t drum to it. ENO adjusted the beat. Mullen was happy.
ENO adjusted the beat by 6 milliseconds!!!!!!!!!
Tempo is measured in beats per minute or bpm.
‘Like perfect pitch, which dooms the possessor to hear every false note and flat car horn, perfect timing may just makes a drummer more sensitive to the world’s arrhythmias and repeated patterns, Eagleman said—to the flicker of computer screens and fluorescent lights. Reality, stripped of an extra beat in which the brain orchestrates its signals, isn’t necessarily a livelier place. It’s just filled with badly dubbed television shows.’
Australia is reviewing its Maths Curriculum.
Sides are taken. Arguments are rife. See the excellent article by Donna Lu, Cracking the formula: how should Australia be teaching maths under the national curriculum?, The Guardian,13 FEB, 2022)
Should teachers teach? Or students explore problems? (Called Cognitive Activation in academe!)
Why not, both? Then add outdoor maths (below) plus defronting the classroom sometimes and try some maths selfies for homework. More ideas here.
It doesn’t matter what’s written in the curriculum, the biggest problem in maths for students is
Here, to tackle boredom are:
“A growing body of research shows us that outdoor play leads to better physical and mental health, has positive effects on cognitive function and learning, and reduces the incidence of behavioural problems.” Maria Zotti, Nature Play, SA.
Peter Dunstan, Principal Kilkenny PS, SA, writes in SAPPA magazine, Primary Focus, that outdoor play fosters “wonderment, independence and freedom” as well as “social skills, imagination, creativity and problem solving”.
Inspired by SAPPA and NaturePlay, Mathspig has produced her own outdoorsy maths list:
References:
7. Robin Hood Give us your best shot.
9. You can measure the volume of your lungs by blowing one breath into a balloon and pushing it into a full bucket of water. Measure the overflow.
15: Outdoor Maths: Times Tables
21. Light intensity links. Here and here.
36. Killer heels that really kill.
Nathan Chen, 22, USA, wins GOLD in the Men’s Figure skating with 5 brilliant, soaring quadruple jumps executed to perfection to Elton John’s “Goodbye Yellow Brick Road” and “Rocket Man.”
According to the fab NBC video, Mathletes, nine Figure Skating judges score competitors for the complexity of each element (eg. Triple axel or triple spin jump) and the quality of the performance producing a score out of ten.
This is a typical figure skating score card for one competitor.
The final score, however, is based on the average for only 5 of these scores. Two are eliminated by random selection (Red Brackets). Then the top and bottom scores are removed and the remaining five scores averaged.
Four scores are removed. Two by the random selector (in brackets) and then the top and bottom scores (with line drawn through them)
Four scores are removed. Two by the random selector (in brackets) and then the top and bottom scores (with line drawn through them). But this time the random selector eliminates two low scores.
The average:
Same score cards but Skater B gets a higher average score than Skater A.
Skater A is, in fact, beaten by a random number selector!!!!
Here is the sensational pairs team from the 2018 Winter Olympics.
But why do ice skaters spin so fast?
Here is the math!
Well, mathspiggies, the girl in this video is right. Angular momentum remains constant unless external forces are applied.
L = angular momentum
v = linear velocity
r = separation of object
Let’s have a look at this equation:
The fastest spin on ice skates was achieved by Natalia Kanounnikova (Russia) with a maximum rotational velocity of 308 RPM (rotations per minute) at Rockefeller Centre Ice Rink, New York, USA on 27 March 2006. See Guinness Book of Records.
Other spins include:
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Skaters can spin faster during a triple axel jump because there is no friction from the ice slowing their spin.
To complete a quad axel, it’s estimated that the skater would have to rotate in the air at:
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More info here.
Now, mathspiggies, you must separate Linear Velocity (v1 ) from Angular Velocity (vr ). Linear Velocity is measured in m/sec ie. it is the speed of, say, a skaters foot around the circle. Angular Velocity is measured in either RPM (Revolutions Per Minute) or degrees or Radians per minute. Ie. It is the rate of spin. We can’t judge how many m/sec a skaters foot is moving in a circle. We can only see how fast they spin. In other words, we see their Angular Velocity. When a skaters foot is in the Camel position that foot travels in a very big circle.
But when that same foot is in a Triple Axel postion it moves in a very, very small circle.
By halving the radius, firstly, a skater’s Linear Velocity doubles due to the conservation of angular momentum.
Then, secondly, by halving the radius the circumference of the circle moved by , say, the skaters foot is halved.
Overall, by doubling the velocity around the circle and halving the circumference a skater increases their rotational velocity by a factor of 4.
Look at the numbers:
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That’s about right.
Aerial skiers aim for height rather than length. Their aerial flight times are much smaller than ski jumpers so air resistance has minimal impact.
In fact, there is one law the aerial skiers cannot break. It is the law of gravity.
Here is an equation for projectile motion from Wired magazine.
The equation for projectile motion also applies to Motorbike Jumps and Longbow Arrows.
Here is the x-y graph for different launch angles.
You can go to this page for complete calculations. Aerial skiers twist and turn but their CENTRE OF GRAVITY must follow this graph. More on centre of Gravity at The Great Back Pack Attack ie.
The centre of gravity of Aerial Skiers must follow a