VARIABLES, EQUATIONS, GRAPHS, AND RATES THE OVERLAND TRAIL VARIABLES, EQUATIONS, GRAPHS, AND RATES

OVERLAND TRAIL FAMILIES MINIMAL FAMILY LARGE FAMILY NON FAMILY CONGLOMERATE FAMILY

PLANNING FOR THE LONG JOURNEY

SHOELACES ADULT BOOT 48 INCHS ADULT SHOE 32 INCHES CHILDS BOOT 24 INCHES

LACED TRAVLERS EACH MAN NEEDS 5 YDS EACH WOMAN NEEDS 4 YDS EACH CHILD NEEDS 3 YDS

TO KEARNY BY EQUATION PROFIT = (W - .4*H) / 2 PRICE TO CROSS= .5*W+.25*M+.1*W+.05*C

OX EXPRESSIONS F # OF FAMILIIES IN WAGON TRAIN 25 M # OF MEN IN A FAMILY 2

IF I COULD SEE THIS THING

WAGON TRAIN SKETCHES AND SITUATIONS

GRAPH SKETCHES

IN NEED OF NUMBERS

THE ISSUES INVOLVED

SITUATIONS, GRAPHS, TABLES, AND RULES

RULES, TABLES, AND GRAPHS FIND AS MANY POINTS ON THE GRAPH AS YOU THINK YOU NEED TO GET AN IDEA OF WHAT THE WHOLE GRAPH LOOKS LIKE.

PREVIOUS TRAVELERS LINE OF BEST FIT

SUBLETTE'S CUTOFF

OUT OF ACTION MAKE A GRAPH AND WRITE A REPORT

GRAPHING CALCULATOR IN-OUTS

BIDDY MASON

"OUT OF ACTION" AND "SUBLETTE'S CUTOFF" REVISITED BEST FIT LINE

FAIR SHARE ON CHORES WRITING EQUATIONS

FAIR SHARE FOR HIRED HANDS WRITING EQUATIONS

MORE FAIR SHARE ON CHORES PT OF INTERSECTION

MORE FAIR SHARE FOR HIRED HANDS PT OF INTERSECTION

WATER CONSERVATION

THE BIG BUY

CATCHING UP BY A SPECIFIC DATE DISTANCE TIME RATE

CATCHING UP BY A SPECIFIC PLACE DISTANCE TIME RATE

WATER FOR ONE MORE

CATCHING UP BY SATURDAY NIGHT DISTANCE TIME RATE

CATCHING UP AT AUBURN

PLANNING THE JOURNEY BRAINSTORM IDEAS PURCHASE FOOD AND SUPPLIES $10 A PERSON

PLANNING THE JOURNEY

SHOELACES HOW MANY INCHES OF SHOELACE DOES A… WOMAN NEED? MAN? CHILD?

SHOELACES FIND THE TOTAL LENGTH OF SHOELACES NEEDED FOR YOUR FAMILY.

LACED TRAVLERS HOW MANY YARDS OF SHOELACE DID THE SETTLERS NEED ALTOGETHER?

LACED TRAVLERS WRITE TWO MORE INTERESTING QUESTIONS AND ANSWER ONE OF THE QUESTIONS.

TO KEARNY BY EQUATION FEE FOR CROSSING THE RIVER= $1 PER WAGON FERRY CAPTAIN EARNED 40CENTS PER HOUR A ROUND TRIP ON THE FERRY TAKES 20 MINUTES PER WAGON

TO KEARNY... PROFIT = (W - .4*H) / 2 EXPLAIN WHY THIS FORMULA MAKES SENSE. PROFIT = (W - .4*H) / 2

TO KEARNY... HOW MUCH MONEY WOULD EACH OF THE PAPAN BROTHERS MAKE FROM YOUR FAMILY?

TO KEARNY... PRICE TO CROSS= .5*W+.25*M+.1*W+.05*C USE THIS FORMULA TO EXPLAIN WHAT VIEUX CHARGED: PRICE TO CROSS= .5*W+.25*M+.1*W+.05*C

TO KEARNY... WHAT WOULD IT COST YOUR FAMILY TO CROSS THE VERMILLION RIVER?

OX EXPRESSIONS WRITE THE EXPRESSION EXPLAIN WHAT THE EXPRESSION MEANS, USING A SUMMARY PHRASE GIVE THE NUMERICAL VALUE OF THE EXPRESSION

IF I COULD SEE THIS THING 5% ADULTS WILL DIE FROM CHOLERA 10% OF THE CHILDREN WILL DIE FROM CHOLERA

WAGON TRAIN SKETCHES

WAGON TRAIN SKETCHES

WAGON TRAIN SKETCHES

WAGON TRAIN SKETCHES

GRAPH SKETCHES EACH GRAPH ILLUSTRATES A RELATIONSHIP BETWEEN TWO QUANTITIES DESCRIBE A SITUATION THAT IS ILLUSTRATED BY THE GRAPH

GRAPH SKETCHES

GRAPH SKETCHES

GRAPH SKETCHES

GRAPH SKETCHES

GRAPH SKETCHES PART II BEGIN WITH A SITUATION IN WHICH YOU DESCRIBE A POSSIBLE RELATIONSHIP BETWEEN TWO QUANTITIES PUT THIS DESCRIPTION ON ONE SIDE OF A PIECE OF PAPER AND THE GRAPH ON THE OTHER.

IN NEED OF NUMBERS

IN NEED OF NUMBERS

IN NEED OF NUMBERS

IN NEED OF NUMBERS

IN NEED OF NUMBERS

THE ISSUES INVOLVED SHOULD THE VERTICAL AXIS ALWAYS BEGIN AT ZERO? WHAT ABOUT THE HORIZONTAL?

THE ISSUES INVOLVED THE GRAPH AT THE RIGHT SHOWS THE AVERAGE HEIGHT OF BOYS IN THE US AT DIFFERENT AGES.

THE ISSUES INVOLVED WHY MIGHT SOMEONE MAKE THE CONCLUSION THAT BOYS GROW AT A CONSTANT RATE?

THE ISSUES INVOLVED WOULD YOU DRAW A CONTINUOUS OR A DISCRETE GRAPH TO SHOW THE # OF LIVESTOCK DEATHS DURING THE OVERLAND TRAIL TRIP?

SITUATIONS, GRAPHS, TABLES, AND RULES DISCUSS HOW THE FOLLOWING RELATE TO ONE ANOTHER: A GRAPH IN OUT TABLE RULE FOR THE TABLE SITUATIONS

RULES, TABLES, AND GRAPHS OUT = 4*IN - 4 OUT = IN*IN OUT = 550 - 20*IN

RULES, TABLES, AND GRAPHS 3X + 2Y = 9 Y^2 = X

PREVIOUS TRAVELERS HOW WOULD YOU MAKE A GRAPH FOR BEANS? HOW WOULD YOU SCALE THE AXES?

PREVIOUS TRAVELERS WHERE IS THE LINE THAT COMES CLOSEST TO THE DATA? BASED ON THE LINE OF BEST FIT, HOW MANY LBS OF BEANS WILL EACH OF YOUR OVERLAND TRAIL FAMILIES NEED?

SUBLETTE’S CUTOFF BASED ON YOU GRAPH WHO DO YOU THINK WILL MAKE IT AND WHO WILL NOT?

SUBLETTE’S CUTOFF IS THERE A TIME WHEN ALL THREE FAMILIES WILL HAVE ABOUT THE SAME AMOUNT OF WATER LEFT?

OUT OF ACTION MARCH 20TH DAY 1 MARCH 25TH DAY 6 APRIL 1ST DAY 13 APRIL 6TH DAY 18 APRIL 18TH DAY 30

GRAPHING CALCULATOR IN-OUTS NUMBER OF LBS OF BEANS= 12(# OF PEOPLE) USING YOUR GRAPHING CALCULATOR, FIND HOW MANY LBS OF BEANS 20 PEOPLE WILL EAT.

GRAPHING CALCULATOR IN-OUTS IF A FAMILY BOUGHT 155 LBS OF BEANS, HOW MANY PEOPLE CAN THIS FEED?

GRAPHING CALCULATOR IN-OUTS PROFIT = (W-4)/2 HOW MUCH PROFIT WILL THE PAPANS EACH MAKE IF 25 WAGONS USE THEIR FERRY?

GRAPHING CALCULATOR IN-OUTS HOW MANY WAGONS WILL HAVE TO USE THE PAPANS’ FERRY BEFORE THE PAPANS MAKE $15 EACH?

GRAPHING CALCULATOR IN-OUTS Y = 3X^2 - 7X + 2

“OUT OF ACTION” AND “SUBLETTES CUT OFF” REVISITED MAKE AN IN/OUT TABLE PLOT THE DATA ON YOUR CALCULATOR SET UP YOUR WINDOWS USING YOUR IN/OUT TABLE

“OUT OF ACTION” AND “SUBLETTES CUT OFF” REVISITED MARCH 20TH 55 FT LBS MARCH 25TH 90 FT LBS APRIL 1ST 140 FT LBS APRIL 6TH 185 FT LBS

“OUT OF ACTION” AND “SUBLETTES CUT OFF” REVISITED GUESS AND CHECK FINDING THE BEST FIT LINE

BIDDY MASON PICK OUT A SUPPLY ITEM, AND DECIDE HOW MUCH OF THAT ITEM YOU HAVE AT THE TIME YOU MEET THIS FAMILY. PICK A REASONALBE AMOUT THAT WILL LAST 20 DAYS.

BIDDY MASON FIGURE OUT HOW MUCH OF THE SUPPLY ITEM THERE IS PER PERSON FOR YOUR OVERLAND TRAIL FAMILY.

BIDDY MASON YOU MEET A FAMILY THAT CONSISTS OF FOUR PEOPLE. HOW MUCH WILL THERE BE PER PERSON IF YOU LET THIS FAMILY JOIN YOU?

BIDDY MASON WHAT IF THE FAMILY HAD SIX PEOPLE? FIND AN EQUATION THAT GIVES THE AMOUNT YOU WILL HAVE FOR EACH PERSON.

FAIR SHARE ON CHORES HOW LONG WOULD YOU SUGGEST THAT EACH TYPE OF SHIFT BE? FIND THREE DIFFERENT PAIRS OF ANSWERS

FAIR SHARE ON CHORES LET G REPRESENT THE LENGTH OF EACH GIRLS SHIFT AND B REPRESENT EACH BOY’S. WRITE AN EQUATION EXPRESSING THE FACT THAT THE TOTAL OF ALL THEIR SHIFTS IS TEN HRS.

FAIR SHARE ON CHORES EXPRESS B IN TERMS OF G THAT IS WRITE AN EQUATION THAT BEGINS “B=…” AND HAS AN EXPRESSION USING G ON THE RIGHT OF THE EQUAL SIGN.

FAIR SHARE ON CHORES GRAPH THE FUNCTION ON YOUR CALCULATOR FIND THREE MORE PAIRS OF POSSIBLE SHIFT LENGTHS FROM YOUR GRAPH

FAIR SHARE FOR HIRED HANDS SUGGEST THREE POSSIBLE COMBINATIONS OF WEEKLY PAY RATES. PLOT ALL THREE COMBINATIONS USING X FOR THE PAYRATE OF AN INEXPERIENCED WORKER AND Y FOR EXPERIENCED

FAIR SHARE FOR HIRED HANDS DESCRIBE IN WORDS HOW YOU COMPUTE THE EXPERIENCED PAY RATE IF YOU KNOW THE INEXPERIENCED PAY RATE WRITE AN EQUATION GIVING Y IN TERMS OF X

MORE FAIR SHARE ON CHORES WHAT ARE SOME POSSIBLE SHIFT LENGTHS IN WHICH A BOY WORKS A HALF HOUR LONGER THAN A GIRL? GIVE FOUR POSSIBILITIES

MORE FAIR SHARE ON CHORES WRITE AN EQUATION IN WHICH G REPRESENTS THE EACH GIRLS SHIFT AND B REPRESENTS EACH BOYS SHIFT GRAPH YOUR EQUATION

MORE FAIR SHARE ON CHORES FIND A PAIR OF SHIFT LENGTHS THAT WOULD TOTAL TEN HOURS AND STILL HAVE THE SHIFT OF EACH BOY BE HALF AN HOUR LONGER THAN EACH GIRL.

MORE FAIR SHARE FOR HIRED HANDS WRITE AN EQUATION FOR YOUR GRAPH FIND A SET OF PAY RATES THAT WOULD MAKE THE TOTAL WEEKLY PAY FOR THE HIRED HANDS APPROXIMATELY $30

MORE FAIR SHARE FOR HIRED HANDS MAKE SEVERAL SUGGESTIONS OF WAYS THE FULKERTHS COULD SET UP THE TWO PAY RATES GRAPH THIS DATA

WATER CONSERVATION THE STEVENS FAMILY STARTED WITH 50 GALLONS HOW MANY GALLONS WOULD THEY HAVE LEFT AFTER THREE DAYS? EIGHT DAYS? TWELVE DAYS X DAYS?

WATER CONSERVATION THE MUSTER FAMILY HAD 100 GALLONS HOW MANY GALLONS WOULD THEY HAVE AFTER THREE DAYS? EIGHT DAYS? TWELVE DAYS? X DAYS?

WATER CONSERVATION IS THERE A TIME WHEN BOTH FAMILIES WOULD HAVE THE SAME AMOUNT OF WATER LEFT?

WATER CONSERVATION IN HOW MANY DAYS WOULD EACH FAMILY RUN OUT OF WATER?

THE BIG BUY WRITE TWO SEPARATE EQUATIONS FOR JILLIAN AND SEVE. JILLIAN’S EQUATION Y=10 + 5X SEVE’S EQUATION Y = 40 + 3X

THE BIG BUY IF THE GRAPHING CALCULATOR COSTS $72 WHO WILL BE ABLE TO BUY ONE WITH THE LEAST WORK TIME?

THE BIG BUY IF THE GRAPHING CALCULATOR COSTS $100 WHO WILL BE ABLE TO BUY ONE WITH THE LEAST WORK TIME?

THE BIG BUY FOR WHAT PRICE MUST THE CALCULATOR SELL IN ORDER FOR JILLIAN AND SEVE TO EARN THAT AMOUNT WITH THE SAME NUMBER OF HOURS OF WORK?

CATCHING UP...BY A SPECIFIC DATE HOW MANY DAYS DO YOU HAVE TO CATCH UP? HOW FAR WILL YOUR COUSIN’S FAMILY TRAVEL?

CATCHING UP...BY A SPECIFIC DATE WHAT DISTANCE DO YOU HAVE TO TRAVEL AND IN HOW MANY DAYS WILL YOU HAVE TO TRAVEL THAT DISTANCE?

CATCHING UP...BY A SPECIFIC PLACE HOW MANY HOURS WILL IT TAKE THE WAGON TRAIN TO TRAVEL 80 MILES? HOW MANY HOURS DO YOU HAVE TO CATCH UP?

CATCHING UP...BY A SPECIFIC PLACE HOW FAST WILL YOU HAVE TO GO IN ORDER TO MEET UP WITH THE WAGON TRAIN IN RENO?

WATER FOR ONE MORE NUMBER OF PEOPLE IN EACH FAMILY CONGLOMERATE NON FAMILY LARGE MINIMAL

WATER FOR ONE MORE IF YOU HAVE THREE GALLONS PER PERSON FOR YOUR FAMILY: HOW MANY GALLONS DO YOU HAVE ALTOGETHER FOR YOU FAMILY?

WATER FOR ONE MORE HOW MUCH WATER CAN YOU ALLOW PER DAY FOR EACH PERSON WITH THE ADDITION OF ONE MORE PERSON?

WATER FOR ONE MORE SUPPOSE THERE WERE 10 PEOPLE IN YOUR FAMILY, HOW MUCH WATER WOULD YOU HAVE PER PERSON IF YOU INCLUDED THE STRAGGLER?

WATER FOR ONE MORE SUPPOSE THERE WERE 20 PEOPLE IN YOUR FAMILY, HOW MUCH WATER WOULD YOU HAVE PER PERSON IF YOU INCLUDED THE STRAGGLER?

WATER FOR ONE MORE SUPPOSE THERE WERE X PEOPLE IN YOUR FAMILY, HOW MUCH WATER WOULD YOU HAVE PER PERSON IF YOU INCLUDED THE STRAGGLER?

CATCHING UP BY SATURDAY NIGHT POSSIBLE QUESTION TO HELP GET YOU STARTED: HOW MANY HOURS A DAY WILL YOU HAVE THE WAGON TRAIN TRAVEL?

CATCHING UP AT AUBURN ROLL A DIE FOUR TIMES TO FIND THE WAGON TRAIN’S RATE

CATCHING UP AT AUBURN HOW MANY DAYS WILL YOU BE VISITING JAMES P. BECKWOURTH? HOW MANY DAYS DO YOU HAVE TO CATCH UP TO THE WAGON TRAIN?

CALIFORNIA AT LAST!!!!