Hotdogs, Hoops, and Detentions

From Blogs to the Classroom

http://www.youtube.com/watch?feature=player_embedded&v=juTpKsb4zic

How many total hot dogs had each person eaten in Round 9?

How many total hot dogs would each person have eaten in Round 400?

How many total hot dogs would each person have eaten in Round n?

Is this a linear relationship?

How could you PROVE it?

http://robertkaplinsky.com/

Table of Values

Graph (not a line)

First Differences (not the same)

Equation◦ Round x round ---- r2 (exponent above 1)◦ Round x round + round ---- r2 + r

What did my students do?

Will the ball hit the hoop?

Dan Myer - 3 Act Math

What did my students do? Alignment of the parabola on

top/through/on bottom of the ball

Deciding whether the ball hit the backboard in the ‘sweet spot’?

The Detention Buy-OutWith BDSS's 125th Anniversary right around the corner, admin has come up with a way to raise some extra funds for the festivities.

They have decided to allow students to buy-out of detentions given for various reasons.

Each administrator has come up with their own buy-out plan to offer students.

These three students could definitely use this buy-out scheme.

However, they are unsure which plan is the best deal for them.

http://tapintoteenminds.com/real-world-math/exploring-linear-relationships-and-patterning/

Who each student buy-out from?

In general, under what conditions is each offer the best option?

What did my students do? Table of values to graphs

Equations to graphs◦ Brought out graphing errors (scaling)

Tables of values only

IDEA of what the POI actually means in terms of the equations

Miss Corbett is 172 cm tall.

How many cups are needed to make a stack of cups as tall as Miss Corbett?

The cups are 9.6cm and 5.6 cm tall.

Stacks of Cups

What did my students do? Table of Values Expression Trial and Error

What did my students do?

What did my students do? Logical Reasoning

Attempted to solve – removed the entire cup, not the base

What did my students do? Divided by height of cup –

checked and realized it didn’t make sense Table of Values

◦ First Differences

Expression to equation◦ solved

Possible Extension How many cups does it tack for the shorter

cup stack to rise above the taller cup stack.

Hotdogs Revisited – Linear AspectQuestions: How many hot dogs does each person eat in

round 9? How many hot dogs does each person eat in

round 100? In what round would they eat 68 hot dogs?

TASK:With your partner, determine when the following individuals will eat the same amount:

(a) Kobayashi and "Black Widow" Thomas

(b) Kobayashi and Jordan

(c) "Black Widow" Thomas and Jordan

A late addition to the commercial, Jordan starts by eating 15 hot dogs. Not being as experienced as the other Major League Eater's (MLE), in the second round he eats 12 hot dogs and in the third round he eats 9 hot dogs.

Linear Equations -> Rates How long would it take to print all of these

sheets?

Dan Myer’s 3-Act Math

http://mrvaudrey.com/tag/mullet-ratio/ http://blog.mrmeyer.com/?paged=3

◦ http://www.graphingstories.com/◦ https://

docs.google.com/spreadsheet/ccc?key=0AjIqyKM9d7ZYdEhtR3BJMmdBWnM2YWxWYVM1UWowTEE#gid=0

◦ http://www.101qs.com/ http://robertkaplinsky.com/ http://nathankraft.blogspot.ca/ http://fawnnguyen.com/ http://tapintoteenminds.com/real-world-math

/exploring-linear-relationships-and-patterning/

List of blogs/websites