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Published byBreana Bocook Modified about 1 year ago

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THE OVERLAND TRAIL VARIABLES, EQUATIONS, GRAPHS, AND RATES

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w MINIMAL FAMILY w LARGE FAMILY w NON FAMILY w CONGLOMERATE FAMILY

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

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

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

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

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

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LINE OF BEST FIT

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MAKE A GRAPH AND WRITE A REPORT

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BEST FIT LINE

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WRITING EQUATIONS

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PT OF INTERSECTION

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DISTANCE TIME RATE BY A SPECIFIC DATE

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BY A SPECIFIC PLACE DISTANCE TIME RATE

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DISTANCE TIME RATE

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

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PLANNING THE JOURNEY

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

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

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

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

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

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

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

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

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

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

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

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WAGON TRAIN SKETCHES

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

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GRAPH SKETCHES

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

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IN NEED OF NUMBERS

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

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

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

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

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

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

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

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

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

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

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

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OUT OF ACTION w MARCH 20THDAY 1 w MARCH 25THDAY 6 w APRIL 1STDAY 13 w APRIL 6THDAY 18 w APRIL 18THDAY 30

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

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

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

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

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

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

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“OUT OF ACTION” AND “SUBLETTES CUT OFF” REVISITED w MARCH 20TH55 FT LBS w MARCH 25TH90 FT LBS w APRIL 1ST140 FT LBS w APRIL 6TH185 FT LBS

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

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

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

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

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

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

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

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

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

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

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

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

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

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MORE FAIR SHARE ON CHORES w 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.

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

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

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

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

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

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

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

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

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

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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?

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

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

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

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

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

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

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

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

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

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

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

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

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

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