The original Pony Express Route covered 8 modern-day states. In 1860, only 2 of these states were recognized as states. The others were still territories.

Slides:



Advertisements
Similar presentations
The Length of a Straight Line Path Between Two Points is the..
Advertisements

Distance-Rate-Time Applications Example 1: Amy rides her bike to work in 30 minutes. On the way home she catches a ride with a friend and arrives home.
Unit 4 Task Writing an to give information.
Math 8H Problem Solving Day 2 Rate Time = Distance Algebra 1 Glencoe McGraw-Hill JoAnn Evans.
Warm up # 28 1.) 1. How many more days until winter break?
1 10 pt 15 pt 20 pt 25 pt 5 pt 10 pt 15 pt 20 pt 25 pt 5 pt 10 pt 15 pt 20 pt 25 pt 5 pt 10 pt 15 pt 20 pt 25 pt 5 pt 10 pt 15 pt 20 pt 25 pt 5 pt Writing.
Ghost Riders of the Pony Express By: Cathy LarsenDianne Smith.
Distance, Speed and Time
Lesson 2.4 Creating & Solving Equations & Inequalities in One Variable
Motion Word Problems Students will solve motion problems by using a Guess & Check Chart and Algebra.
Question Did anyone see the program about the Pony Express on the History Channel the other night? They hosted an hour long show about how the postal service.
Speed, Acceleration and Momentum
#1#1#1#1 #2#2 Solve: A Corvette can travel 368 miles in the same amount of time that it takes a Prius, that is traveling 35 m.p.h. slower, to cover 228.
MT 8.3: Working with Rate, Time, and Distance The formula that has to be remembered for this section is… R ● T = D (Rate x Time = Distance) There are four.
Lesson 3-9 Weighted Averages.
The Pony Express versus The Telegraph. "Men Wanted” The undersigned wishes to hire ten or a dozen men, familiar with the management of horses, as hostlers,
Speed, Acceleration and Momentum Forces in Motion Mrs. Rubel.
Chp 5 Little Book, Motion Math & Work Sheet Answers: Be sure to show YOUR work and the formulas for credit!
Average Speed Practice Problems
Physics the study of the relationship between matter and energy.
#1#2 #3#4 #5#6 #7#8 #9#10 #11#12 #13#14 #15#16 #17#18 #19 Rational Expressions Test (Study Guide #2) Simplify Name_________________1 1) 5) 8) 4) 3) 7)
 The three angles of a triangle measure x, 2x and x-20 degrees. Write and solve an equation for x. What are the three angle measures? (Hint: remember.
Monday’s Warm Up. Objective By the end of today’s lesson, you will be able to solve an equation for a particular letter, given that the equation contains.
Chapter 9 Sections 1 and 2. How do you know that an object is moving? When its distance from another object is changing. Motion is described relative.
Speed, Distance & Time Speed, Distance, Time Calculations.
SPEED Primary 6 Mathematics. Speed 2 Chapter Learning Outcomes At the end of this chapter, pupils will be able to:  Interpret speed as the distance travelled.
Please select a Team. Team 1 Team 2 Team 3 Team 4 Team 5.
Section 4.7 What we are Learning: To solve mixture problems To solve problems involving uniform motion.
Long Test 2 – Feb. 13 (Monday) -finding the restrictions/excluded values -solving rational equations - translating phrases - word problems.
FORCE AND MOTION MEASURING MOTION BELLRINGERS 2. Alex rode his bicycle 60 kilometers in 4 hours. How fast was he going? Matt rode 90 meters in 6 minutes.
Motion. Recognizing Motion An object is in motion when its distance from another object is changing. Whether an object is moving or not depends on your.
RS U2C1A8 Objects and Waves with Changing Speeds.
Algebra Motion Problems (Rate-Time-Distance). The Formula Rate ● Time = Distance Average speed Elapsed timeLinear Distance 50 mph ● 3 hours = 150 miles.
Unit 4 Rational functions
FORCE AND MOTION CHAPTER ONE SECTION ONE MEASURING MOTION.
Word Problems: Distance, rate and time Type A: Same – Direction of travel A train leaves a train station at 1 pm. It travels at an average rate.
3.6 Distance. 3.6 – Equations & Problem Solving Goals / “I can…” Define a variable in terms of another variable Model distance-rate-time problems.
MTH095 Intermediate Algebra Chapter 7 – Rational Expressions Sections 7.6 – Applications and Variations  Motion (rate – time – distance)  Shared Work.
Writing and solving equations from story problems.
Solving Equations Containing First, we will look at solving these problems algebraically. Here is an example that we will do together using two different.
£ ≈ ∑ Chapter 9: Test Your Proficiency Directions: Select a section to work on. Work out each problem on a piece of paper. Click to check your answer.
+ The Pony Express By: Kathy Parra. + Who were the founders? The Pony Express was founded by William H. Russell, William B. Waddell, and Alexander Majors.
Solving Worded Problems QUADRATIC EQUATIONS 1.Write expressions for unknowns. 2.Connect exprssns to form an eqn 3.Solve equation 1.Write expressions for.

Unit 5—Part A Test Review 6 th : Chapter 1 Lessons th : Chapter 1 Lessons 1-3.
Math 20-1 Chapter 6 Rational Expressions and Equations 6.4 Solve Rational Equations Teacher Notes.
Distance = Rate x Time DRT Formula. D = r x t It takes Mrs. Osthus 105 minutes to get to Sioux Falls to go Christmas shopping. If she drives an average.
DISTANCE = RATE*TIME D = rt D = r(t) D = r x t.
Distance, Speed, and Time Kuba Sokolowski. D ST X To find DISTANCE, cover up the D.
Grandpa had to drive from Iowa to Texas so he could pick up a new horse for the farm. He drives a little faster than Grandma though.
RS U2C1A8 Objects and Waves with Changing Speeds.
Solving Multi-Step Equations 7-2 Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson Quizzes Lesson Quizzes.
2.5 Day 3 Uniform Motion. Objectives: to model real world situations with one variable equations Do Now: 1.Take out homework 2.Check answer from answer.
Investigating Motion Science Chapter B2 Text Pages B43-B73.
Objective 2 Days The learner will solve real-life problems using equations (d=r*t)
HW: Worksheet Aim: How do we solve fractional equation?
Distance, Rate (speed), Time
Writing an to give information
2-9 Notes for Algebra 1 Weighted Averages.
Calculating Speed A)  John is walking down the hall.  He travels 24 meters in 12 seconds.  What is his average speed? ANSWER: 2 m/s.
The 3 formulas for Speed, Time & Distance:
Speed, Distance, Time Calculations
Solving Equations Containing
D = R x T Review 180 miles 75 mph 5 hours 100 miles
Motion and Speed.
MT 8.3: Working with Rate, Time, and Distance
Mr. Peter Richard, The most profound Math teacher in all of the worlds in this universe and the rest of them will teach you the multiple steps of stepping.
Ghost Riders of the Pony Express
SAT PREP UPSTREAM / DOWNSTREAM & MOTION Rita Korsunsky.
A rational equation is an equation that contains one or more rational expressions. The time t in hours that it takes to travel d miles can be determined.
Presentation transcript:

The original Pony Express Route covered 8 modern-day states. In 1860, only 2 of these states were recognized as states. The others were still territories. Which of these states do you think were the 2 recognized states in 1860? wyoming CaliforniaCalifornia nevada utah colorado nebraska Kansas missourimissouri

Sometimes, horses reached speeds of miles per hour. Horses averaged speeds of miles per hour.

Now we are going to solve some math problems regarding the Pony Express. The problems will be presented here, just as they appear on your worksheet. Be sure to show your work! You will receive partial credit. ALL answers must be rounded to a whole number. Be sure to round to the nearest whole number so that the answer best fits the CONTEXT of the problem.

Problems 1-4 are all based on a full route between St. Joseph, Missouri and Sacramento, California. How many miles did this route cover?

Let’s do #1 together. Peggy Sue in St. Joseph, Missouri sends a letter to Uncle Billy in Sacramento, California. The total distance the letter must travel is ~1,900 miles. If the horses’ average speed is 10 mph, how many miles do the riders cover in a day? How many days will it take for the letter to reach Uncle Billy? Hint: 1 day = 24 hours(a) 190 (b) 240 (c) 310 (a) 7.9 (c) 8 (b) 7 1.

2.Unfortunately, bad weather forced the horses to travel at an average of only 7 mph. How many miles do the riders cover in a day? How many days will it take for the letter to reach Uncle Billy? Cowboy Up! Cowgirl Up!

3.Cowboy Tom in Sacramento received a letter from Daisy Mae, who lives in St. Joseph. It took 13 days for the letter to reach him. How many miles did the horses cover each day? What was the average speed of the horses? (c) 6(b) 13(a) 4 (c) 147(b) 146.2(a) 146

4. I. M. Gonne sends a letter from his new home in Sacramento to his mother in St. Joseph to let her know he safely made it to California. Due to an increase of attacks on Pony Express Riders in California, the riders maintained their horses at an average speed of 15 mph for the first 3 days. How many miles did they cover per day? How many total miles did they cover in 3 days? Cowboy Up! Cowgirl Up!

For the following 2 days, horses averaged 10 mph. How many total miles did they cover in these 2 days? Flooding in the Nebraska and Kansas Territories made riding treacherous, and horses only averaged 5 mph for the remainder of the route to St. Joseph. How many days did they travel at 5 mph before reaching St. Joseph? How many TOTAL days did it take for I. M. Gonne's letter to reach his mother?

The next 4 problems are based on varying routes along the Pony Express Trail. You may choose a partner to work with on these problems.

1.1. Rider I. B. Fast departs from the home station at Devil’s Gate and arrives at Ice Slough in 5 hours. He rode at 15 mph and changed horses every 15 miles. How many total miles did he cover? How many home stations did he stop at BEFORE arriving at Ice Slough?

2. Jack, in Sacramento, needs to send a letter to Jill, who is 1,780 miles away in the Kansas Territory. He wants the letter to reach her in time for her birthday on May 22 nd. WILL HIS LETTER MAKE IT IN TIME?!?!

The horses gallop through California and the Utah Territory steadily at 12 miles an hour. 1,000 miles beyond Sacramento, in the Nebraska territory, riders encounter bad weather and the horses slow down to an average of 8 mph for the next 650 miles. Then the weather clears and the horses travel at 15 mph for the remainder of the route. Jack mailed his letter on May 14. Will it reach Jill before her birthday is over? Remember: Jill’s birthday is May 22 nd.

3. Trip Eezee departs from the Jacob’s Well home station in the Utah Territory. His horse is the fastest one in the area and speeds to the Ruby Valley home station at 20 mph. The stations are 10 miles apart. Trip begins his route to Mtn. Springs on another fast horse at 18 mph. Unfortunately, after 7 miles, his horse stumbles on a slippery rock and slows to 13 mph for the last 3 miles. How long does it take Trip Eezee to travel from Jacob’s Well to Mtn. Springs? What was his average speed for the entire trip?

4. Ima Lone departs from Carson and travels 75 miles to the home station at Sand Springs. When he reaches Sand Springs, his relief rider, Big A. Choo, is very sick and won’t be able to ride for days. Ima Lone rests for 6 hours then departs for the next home station at Fairview. He rides at 7 mph and reaches Fairview in 2 hours. How much farther did he have to ride? Did he average a faster speed from Carson to Sand Springs or from Sand Springs to Fairview? How long does it take for the letter to arrive at Fairview?

The following 4 problems all deal with the cost of sending a letter from St. Joseph to Sacramento. Please return to your seats. You will not be using partners for these problems.

1. Mr. Boss needs to send 7 letters that each weigh a ½ ounce. How much would it cost to send these at the $5 rate? (a) $17.50 (b) $35.00 (c) $30.00

2.Cowboy Joe needs to send 2 letters. One letter weighs 3 ounces, and the other weighs 0.5 ounces. If the current rate is $5 per 0.5 ounce, how much will it cost Cowboy Joe to send his 2 letters? 3. Miss Imiss Ewe needs to send a letter weighing 4 ounces. She can’t remember the current postal rate. How much will it cost her if it’s $5 per ½ ounce? How much will it cost her if it’s $1 per ½ ounce? How much money will she save if it’s the $1 rate? Cowboy Up!Cowgirl Up!

4a. Mr. U. R. Kiddin sent several letters through the Pony Express one day before they announced the decrease in the cost from $5 to $1 per ½ ounce. He mailed 1 letter weighing 3 ounces, 4 letters weighing ½ ounce each, 1 letter weighing 2 ounces, and 3 letters weighing 1 ounce. How much money could he have saved if he had waited one more day to send his letters?

4b. What was the average cost of a letter sent by Mr. Kiddin? At the $5 per ½ ounce rate What was the least amount Mr. Kiddin spent on 1 letter? What was the most amount Mr. Kiddin spent on 1 letter? At the $1 per ½ ounce rate What was the average cost of a letter sent by Mr. Kiddin? What was the least amount Mr. Kiddin spent on 1 letter? What was the most amount Mr. Kiddin spent on 1 letter?

Thank You to the following resources: /page1_4.htm rumorsandrants.com/wp- content/uploads/2009/02/pony-express.jpg en_act/travel/pony1.html ss jpg