julie+chris+chapter+4+Math+and+Rome

map of rome from origin to height of empire

tables and graphs charts over Rome

patterns

coordinate planes roman numerals

linear functions (something that happens once a week a soldier takes over 1,000 acres soldiers marching over a set number of days

mosaics in roman art how to use math to create a mosaic page 459 in social studies book

roman aquadect how to get the right angle for water to flow from drinking fountain to classroom math problem slope

__JULIE'S IDEA per lesson in chapter 4__

//Chapter 4 - Lesson 1// Exploring coordinate plane - Understand quadrants, directions, x and y axis - play battleship or land battle game Equator x axis, Prime Meridian y axis, cardinal directions, where is Rome located, where do they want to expand //Chapter 4 - Lesson 2// Creating tables and graph (start of linear functions - constant pattern shown) - How much it would cost for Romans to eat per day, food intake, cost for the community or candle makers - how long it would take for x amount of candle wax to burn per ounce for those who want to work at night or to make maps, cost of candles. //Chapter 4 - Lesson 3// Interpreting graphs - compare on a graph the y axis for speed to x axis time or y axis for distance and x axis for time - Make up a map to show the head of Roman the projection of previous events occurring - different terrains take longer to travel through or talk about the land mass and make-up of the environment/land //Chapter 4 - Lesson 4// Functions, input/output, tables - Make map of enemies territory. Input into a table the correct distance it would take to hit the enemy with the output distance by using a catapult. You could also use over devices not just catapults. Or like battleship game, figure out a function (equation) to consistently take over destroy land. //Chapter 4 - Lesson 5// Find a pattern in a sequence - map projection of the area you could take over by a certain year or month //Chapter 4 - Lesson 6// Graphing the linear function -make a map of the perimeter of an area and predict/make map of coordinates and how fast you could over take the land, in what time would it take, how far you could extend across the area, miles per hour you could travel.

//All of Chapter 4// money spent of travel, food, war, transportation, wages all while taking over the land to make a map. pg.253-254 - non-linear functions (inconsistent patterns) pg.256 - game time, where a city might be located?


 * Chapter 5 Proportional Relationship- Start Nov.15 l**and expansion and food supply WE CAN START HERE with proportions?!

__Remarks from Topher__ Agree with chapter one since I start with Geography of Rome and that works with 4 and 6 as well, plus when we discuss expansion.

We do not get into the cost of any food or any items and I myself am not aware of them, now we could do something with taxes.

We could also do something dealing with the loss of land when it starts to fall apart, as well as, when the empire splits.

I think something with aqueducts is great, you may not be doing slopes, but we could plot the appropriate path for a new aqueduct and they would need to use geography and some rationale as to why they chose the location and where it is going.

We could also do something dealing with food supply and grain shipments to feed the Roman Empire.