## Archive for the ‘Parabolas’ Category

February 10, 2018

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.

Screen grab 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.

trajectory wired magazine

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

# parabolic curve.

Rocky Maloney Winter X Games Aspen

Posted in algebra, graphs, Middle School, Parabolas, Winter Olympics Maths, Year 7 mathspig, Year 9 Mathspig **|** Tagged 2018, aerial, calculations, center of Gravity, flip, Math, Middle school, Parabola, pyeong Chang, ski, snow board, Winter Olympics **|** Leave a Comment »

July 10, 2015

**Hellooooo My Little Sweeties,**

**There is so much maths you can do with m&ms, it’s hard to believe there is any other sort of maths.**

**You can study:**

**Counting, times tables,** **set theory,** **Bar graphs,** **Fractions, % and decimals**, **Mean, median, mode, ****and parabolas (using a really cool peg-powered catapult).**

**But my favouritest ,developed by Patrick Len, is using m&ms to demonstrate half life in radioactive substances and therefore write an exponential equation.**

**m+m ACTIVITY:**

**Throw a fixed no. m&ms on a table. Mathspig chose 128 m&ms for a very good reason. Eat the ones with the m showing. Count remainder. Throw again. Eat the ones with the m showing. Count remained. Keep doing this. You will end up with results like the following. (Not identical as chance is involved)**

**Wow! m&m’s and exponential equations. How yummy is that!!!!!!**

**More yummy maths:**

**m+m maths 1: find the volume using m+ms!**

**m+m maths 2: Guess, NO, calculate the number of m+ms in a jar!**

**m+m maths 3: how many m+ms will kill you?**

**m+m maths 4: How many m+ms will kill my dog?**

**m+m maths 5: how many m+ms will kill my cat?**

**m+m maths 6: How many m+ms will kill my pet rat?**

**m+ms maths 7: how many m+ms will kill my pet mouse?**

**Mmmmmmm! Can’t talk. Face full of chocolate.**

**Bye bye**

# Mathspig

Posted in %, 7 m+m maths challenges, algebra, Arithmetic, Averages, base 2, decimals, Exponential Functions, Middle School, Parabolas, Units Volume, units weight, Year 7 mathspig, Year 9 Mathspig **|** Tagged %, activity, algebra, back to school, bar graphs, exponential fn, fractions, Fun, m&m, Math %, mean, median, project, radioactive half life, volume **|** 1 Comment »

June 30, 2014

**Lego Man soccer fields will vary in size depending on the height of each player picked by each student. This does your head in. It is really challenging maths!**

**McGill Uni link here.**

Don’t forget to throw in Mathspig’s lame protractor jokes.

**You’ll find full calculations at the Maths is Fun blog.**

**You’ll find more fab outdoor junior and middle school maths activities at the terrific Maths and Movement blog.**

**Some students will discover their co-ordinate point is not on the grid. Students should then work out that they will need a different scale for the y-axis. You can get more inspiration at the Stand Again blog.**

Posted in 6 Outdoor Maths Adventures: Middle School, co - ordinates, decimals, direct proportion, geometry, graphs, Linear Equation, Middle School, Parabolas, trigonometry, Year 9 Mathspig **|** Tagged Adventure, Co-orinate geometry, linear graph, Math %, Middle school, Outdoor, protractor, ratio, similar triangles, Soccer, tree height, trigonometry, World Cup **|** Leave a Comment »

January 23, 2014
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.

Screen grab from Wired Magazine

Here is the x-y graph for different launch angles.

trajectory wired magazine

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

# parabolic curve.

Rocky Maloney Winter X Games Aspen

Posted in algebra, graphs, Middle School, Parabolas, Winter Olympics Maths, Year 7 mathspig, Year 9 Mathspig **|** Tagged 2014, Aerial Comp, Centre of Gravity, gravity, Gravity Equation, Parabola, Parabolic curve, Porjectile Motion, Problem for Aerial Competitos, Sochi, Winter Olympics **|** 3 Comments »

April 9, 2013
# Maths-is-Awesome Activity

# Ellipsoid Collipsoid

#### Skill: Geometry, scale, ratio, conic sections, ellipses, parabolas, hyperbolas and more.

#### Level: Senior School

#### Senior maths students are busy, mathspiggies. But insipration energises.

#### Mathspig was amaaaaaazed by these cardboard models were made by Martin Schilling because he made them in 1901. This was long before computers made the job easier. More info here.This is what a car looked like in 1901.

#### If Martin Schilling could make these Conic Sections, so can any senior student. You will find Conic Section diagrams and equations here.

#### Could you do this mathspiggies?

#### Make a conic section in 3D?

Posted in graphs, Hyperbolas, Parabolas, Senior School, Year 12 mathspig **|** Tagged Cardboard Conic Sections, Cardboard Ellipsoid, Cardboard Hyperbola, Conic Section Activity, Conic Sections, Ellipse, Hyperbola, Parabola, Senior Maths Challenge, Senior Maths Project **|** Leave a Comment »

April 9, 2013
# Maths-is-Awesome Activity

## What the World Needs Now is More Parabolas

#### Skills: Graph, scale, measurement …. balancing that last cardboard section.

#### Level: Middle & Senior School

#### If you cannot make it to MOMaths Maths Museum in NY for a Mad Maths Monday, then you can run a Mad Maths Monday in your own class.

#### Build your own giant parabola out of cardboard.

#### We’re being awesome

#### We’re thinking big.

#### Make it big enough to arch over the front door of the school.

Posted in Middle School, Parabolas, Senior School, Year 9 Mathspig **|** Tagged Build Your own Cardboard parabola, Build your own giant parabola, Cardboard parabola, Crazy Maths, Fun activities for middle school, Fun activity for middle school, Mad Maths Monday, Make math awesome, middle school math project, MoMaths Activity, MoMaths Museum, Senior school math project **|** Leave a Comment »

April 11, 2012
Posted in algebra, co - ordinates, graphs, Hollywood Maths, Hunger Game Maths, Middle School, Parabolas, Senior School **|** Tagged Arrow flight Equation, How fast is an arrow, How long is an arrow flight, Hunger Games Blood, Hunger Games fun, Hunger Games graph, Hunger Games Maths, Hunger Games statistics, Hunger Games Survival Maths, Katniss arrow aim, modern arrow speed **|** 6 Comments »