Adding to Agriculture Indiana Association of Agriculture Educators Winter Workshop-Jan. 2012 Presenters Ms. Amanda Mullins Ms. Rebecca Whitfill Tecumseh Jr. Sr. High School Boonville High School [email protected] [email protected] S: 812.922.3237 S: 812.897. 4701 C: 270.282.1656 C: 270.617.0737 Keys to Successful Integration of English and Math skills into the Agriculture course *Make it a priority and not just busy work. If you are positive about this more than likely your students will stay positive. *Make it fun and relate to your current topics in class. *Make the real-life connection. Answer the famous how am I going to use this in life question. *Don’t do this stuff every day. You don’t want your class to be known as another math or English class. *Make the connections as to why these skills are important (Ex. success in FFA contests, getting a part-time job, graduating with a Core 40 or Honors, making it in the real world on their own, not having to take remedial courses anymore, etc.) *If you practice a skill include it in your quiz and/or test. Make it valuable to the student for the class as well as personally. ECA Content Areas Math: linear equations, algebraic fractions, relations and functions, graphing linear equations and inequalities, word problems, order of operations with real #s, polynomials, quadratic, cubic, and radical equations English: word recognition, fluency, and vocab development; reading comprehension, analysis of informational text, reading comprehension of literary text, writing processes and features, writing applications, English language convention Resources -Algebra I textbooks, teachers -English textbooks, teachers -DOE website -NAAE Communities of Practice -Math for Soil Scientists -Mathematical Applications in Ag (2 editions) -http://www.tarleton.edu/Faculty/mcgregor/Extras/MathScience/MathScience.htm -Georgia Agriculture Education website -Possible link on IAAE website with sample lessons from other teachers Methods of Implementation -Word walls -bell ringers -Problem of the week (day if you are on block) -Writing Wednesday, Math Monday -Fridays are always a good day to do something different or to sum up the week’s materials by reviewing content but learning or reviewing math/English concepts -Put questions, problems, scenarios on quiz and test---show the importance -Webs—Brainstorm for writing prompts “5E” Model 1 – Engage, Explore, Explain, Elaborate, Evaluate Engage Evaluate Explore 5E Elaborate Explain Name: _________________ ITEM COST Box of Nails $3.80 Box of Screws $5.25 Date: ________________ Score: _____/25 • The table shows the costs of certain items at a corner hardware store. • Write an expression to represent the total cost of 5 boxes of nails, 3 boxes of screws, 4 hammers, and 2 electric drills • What is the total cost of the items purchased? Claw Hammer $12.95 Electric Drill $42.50 • The ABC Tractor company offers a plan to rent out GPS systems with a flat fee of $29 per month plus a $.12 charge per hour used. Write an equation to find the cost (C) for a month for h hours. Then solve the equation for h=50 • Keith’s dog weighs 90 lbs. A healthy weight for his dog would be less than 75 lbs. If Keith’s dog can lose an average of 1.25 lbs/week on a certain diet, how long until the dog reaches a healthy weight? • Joe is shopping for a tractor. The cost of a new tractor is $15,500. This is 25% greater than the cost of a used tractor. What is the cost of a used tractor? • A race car driver records the finishing times for recent practice trials • Trial • 1 5.09 • 2 5.10 • 3 4.95 • 4 4.91 • 5 5.05 • What is the mean time, in seconds, for the trials? Time (seconds) Pesticide Math Name: ___KEY______________________________________ Date: _____________ Objective: All students will be able to: ◦ Calculate area ◦ Calculate volume ◦ Calculate pesticide formulations ◦ Estimate pesticide coverage ◦ Determine pesticide rates Calculating Area Area = __measures the size of the region enclosed by the figure_________________________ Formulas for Area: • Square = Length x Width = Area • Triangle = ½ x Base x Height = Area • Circle = 3.14 x radius x radius Practice Calculating Area Problem 1: Formula: Area = Length x Width Work: Area = 323’ x 323’ Solution: Area = 104,329 square feet Problem 2: Formula: Area = 3.14 x radius x radius Work: Area = 3.14 x 25’ x 25’ Solution: Area = 1,962.5 square feet Problem 3: Formula: Area = ½ x Base x Height Work: Area = ½ x 225’ x 100’ Solution: Area = 11,250 square feet 1 Try drawing out problem! Individual Practice Calculating Area 1. A rectangular garden plot has two sides that measure 55 feet and two sides that measure 71 feet. What is the area of the garden? 2. In order to apply an aquatic herbicide, you must first know the surface area of the pond where you will apply it. The pond is circular and has a diameter of 320 feet. What is the area? 3. A barn lot that is covered in weeds is triangularly shaped. The base is 85’ and it is 27 feet tall. What is the area of the barn lot? 4. Estimate the area of the following figure: 28’ 25’ 100’ 26’ 35’ 50’ 2 Calculating Volume Volume = __amount of 3-d space a substance takes up______________________________ _____________________________________________________________________________ Formulas for Volume: • Cylinder = 3.14 x radius x radius x height • Cube = side x side x side Important Units Milliliter ml 0.001 Liters Liter L Kiloliter kL 1000 Liters Cup 8 ounces 250 mL Pint 2 cups 16 ounces Quart 2 pints 4 cups Gallon 4 quarts 8 pints Practice Calculating Volume Problem 1: Formula: Volume = side x side x side Work: Volume = 3 ½’ x 3 ½’ x 3 ½’ Solution: Volume = 42.875’ = 42’ 10 ½” Problem 2: Formula: Volume = 3.14 x radius x radius x height Work: Volume = 3.14 x 1 ½’ x 1 ½’ x 5’ Solution: Volume = 33.325’ = 33’ 3” Individual Practice Calculating Volume 1. You found an old cube-shaped spray tank at an auction and you want to determine how many gallons of water it holds without actually measuring it. One side measures 36”. What is the area in feet? 3 2. A box with granular pesticide has been delivered to you to spread on your tomatoes. The box doesn’t clearly list what volume of material is inside. The box is 3’ x 12” x 42”. What is the volume inside the box? 3. You think that a new brand of Raider Soda is not correctly labeled. The can measures 10 inches tall and has a diameter of 2 inches. What is the maximum volume that the can can hold? Calculating Pesticide Formulations Legal concentrations are found on _THE LABEL___________________________________. Pesticide formulations are given as __rates__________________. _43,560___________________________ square feet are in 1 acre. Practice Calculating Pesticide Formulations Problem 1: Formula: Work: Solution: 1 cup/ 49 15/16 gallons (~50 gallons) Problem 2: Formula: Work: 9 ounces/ 2 gallons, 119 ounces (~3 gallons) Individual Practice Calculating Pesticide Formulations 1. A label requires you to use 3 ounces of pesticide per 50 gallons of spreader oil. You have determined that you need approximately 500 gallons of spray to manage your pest problem. If the pesticide is sold in a 10 ounce bottle, how many bottles do you need to buy? 4 2. You just filled up your 25 gallon spray tank with water. You hope to spray crossbow at a rate of 1 pint per 100 gallons. How much Crossbow do you need to add to your tank? 3. You must mix 25 pounds of a dust insecticide with 75 pounds of granules to safely apply it to your land. How many 50 pound bags do you need to purchase if you want to mix the insecticide with 225 pounds of granules? Calculating Pesticide Coverage Pesticide coverage is the volume that can cover a specified area of land. The three factors that effect coverage are: 1. Speed 2. Volume 3. Rate Speed is dependent on these 5 factors: 1. Tractor Gear 2. Tractor RPMs 3. Make/Model of Tractor 4. Lay of land 5. Safe Operating Speed Practice Calculating Pesticide Coverage Problem 1: Formula: Work: Solution: 2 lbs/acre = 50 pounds/2 pounds = 25 acres Problem 2: Formula: Work: Solution: 2 quarts/ ¼ acre = 2 x 4 = 8 quarts/acre, 8 quarts/4 = 2 gallons = RIGHT AMOUNT 5 Problem 3: Formula: Work: Solution: 120 ft x 40’ = 4800 ft2/minute, 650 ft2/minute/43,560 ft2 = 0.11 acre/minute 0.11 x 60 = 6.6 acres/hour Problem 4: Formula: Work: 75/100 = 0.75 x 2 = 1.5 ounces Individual Practice Calculating Pesticide Coverage 1. Your nozzles on your sprayer will deliver chemical at a rate of 1 pint of chemical per square foot per minute of travel. Your spray boom has 15 nozzles and your tank is 500 gallons. How long will it take the applicator to run out of spray? 2. You can apply ½ pound of 10-10-10 fertilizer per acre when you have the tractor in C1, 1500 RPMs. If you put 200 pounds in the spreader, how many acres can you cover? 3. If a bottle of herbicide indicates that it should be sprayed at 14 gallons per acre, and your sprayer will deliver 7 gallons per acre, how would you go about getting the correct rate? 4. You are traveling at 75 feet per minute with a 30’ spray boom while spraying Malathion EC. You are delivering the spray at 12 gallons an acre. How many acres will you cover in an hour? 5. The label for 2-4,D calls for 3 ounces per quart. You want to mix up enough spray to fill your 3 ½ gallon back-pack sprayer. How much 2-4,D should you put in the tank? 6 Pesticide Math Name: ________________________________________________ Date: _____________ Objective: All students will be able to: ◦ Calculate area ◦ Calculate volume ◦ Calculate pesticide formulations ◦ Estimate pesticide coverage ◦ Determine pesticide rates Calculating Area Area = _______________________________________________________________________ _____________________________________________________________________________ Formulas for Area: • Square = • Triangle = • Circle = Practice Calculating Area Problem 1: Formula: Work: Solution: Problem 2: Formula: Work: Solution: Problem 3: Formula: Work: 7 Try drawing out problem! Solution: Individual Practice Calculating Area 1. A rectangular garden plot has two sides that measure 55 feet and two sides that measure 71 feet. What is the area of the garden? 2. In order to apply an aquatic herbicide, you must first know the surface area of the pond where you will apply it. The pond is circular and has a diameter of 320 feet. What is the area? 3. A barn lot that is covered in weeds is triangularly shaped. The base is 85’ and it is 27 feet tall. What is the area of the barn lot? 4. Estimate the area of the following figure: 28’ 25’ 100’ 27’ 35’ 50’ 8 Calculating Volume Volume = _____________________________________________________________________ _____________________________________________________________________________ Formulas for Volume: • Cylinder = • Cube = • Diameter = • Radius = Important Units Milliliter 0.001 Liters L Kiloliter 1000 Liters 8 ounces 250 mL Pint 2 pints Gallon 8 pints ‘ Feet Square Inches 1” x 1” Ft2 In3 Cubic Feet 12” x 12” x 12” Unit Conversion Confusion? 12” = ____________ feet 6” = _______________ feet 10’ = __________feet 2 cups = ________ pints 8 oz. = __________ quarts 16 pints = _______ gallons 1 gallon = ________ quarts 1 gallon = _______ ounces ½ gallon = _______ quarts 9 Practice Calculating Volume Problem 1: Cross Out Unnecessary Information Formula: Work: Solution: Problem 2: Formula: Work: Solution: Individual Practice Calculating Volume 1. You found an old cube-shaped spray tank at an auction and you want to determine how many gallons of water it holds without actually measuring it. One side measures 36”. What is the volume in feet? Don’t forget units! 2. A box with granular pesticide has been delivered to you to spread on your tomatoes. The box doesn’t clearly list what volume of material is inside. The box is 3’ x 12” x 42”. What is the volume inside the box? Don’t forget units! 3. You think that a new brand of Raider Soda is not correctly labeled. The can measures 10 inches tall and has a diameter of 2 inches. What is the maximum volume that the can can hold? Hint: What 3-D shape is a can? Calculating Pesticide Formulations Legal concentrations are found on ________________________________________. Pesticide formulations are given as ______________________. ____________________________ square feet are in 1 acre. 10 Practice Calculating Pesticide Formulations Problem 1: Formula: Work: Solution: Problem 2: Formula: Work: Solution: Individual Practice Calculating Pesticide Formulations 1. A label requires you to use 3 ounces of pesticide per 50 gallons of spreader oil. You have determined that you need approximately 500 gallons of spray to manage your pest problem. If the pesticide is sold in a 10 ounce bottle, how many bottles do you need to buy? 2. You just filled up your 25 gallon spray tank with water. You hope to spray crossbow at a rate of 1 pint per 100 gallons. How much Crossbow do you need to add to your tank? 3. You must mix 25 pounds of a dust insecticide with 75 pounds of granules to safely apply it to your land. How many 50 pound bags do you need to purchase if you want to mix the insecticide with 225 pounds of granules? 11 Calculating Pesticide Coverage Pesticide coverage is the volume that can cover a specified area of land. The three factors that effect coverage are: 1. 2. 3. Speed is dependent on these 5 factors: 1. Tractor Gear 2. 3. Make/Model of Tractor 4. Lay of land 5. Practice Calculating Pesticide Coverage Problem 1: Work: Solution: Problem 2: Work: Solution: Problem 3: Work: Solution: Problem 4: Work: Solution: 12 Individual Practice Calculating Pesticide Coverage 1. Your nozzles on your sprayer will deliver chemical at a rate of 1 pint of chemical per square foot per minute of travel. Your spray boom has 15 nozzles and your tank is 500 gallons. How long will it take the applicator to run out of spray? 2. You can apply ½ pound of 10-10-10 fertilizer per acre when you have the tractor in C1, 1500 RPMs. If you put 200 pounds in the spreader, how many acres can you cover? 3. If a bottle of herbicide indicates that it should be sprayed at 14 gallons per acre, and your sprayer will deliver 7 gallons per acre, how would you go about getting the correct rate? 4. You are traveling at 75 feet per minute with a 30’ spray boom while spraying Malathion EC. You are delivering the spray at 12 gallons an acre. How many acres will you cover in an hour? 5. The label for 2-4,D calls for 3 ounces per quart. You want to mix up enough spray to fill your 3 ½ gallon back-pack sprayer. How much 2-4,D should you put in the tank? 13 6 Traits of Writing Ideas Is my career clear and focused? Did I included important details related to my career? Did the reader learn something new? Organization Is my paper easy to follow? Do my ideas link to the career I chose? Does the beginning of my paper hook the reader? Voice Does the writing sound like me? Can the reader tell I am enthusiastic about my career? Will this paper hold the reader’s attention? Sentence Fluency Is my paper easy to read? Do I begin my sentences in different ways? Does my paper sound smooth if I read it aloud? Word Choice Did I use any unique words? Did I use colorful phrases that grab my reader? Did I repeat common words too many times? Conventions Did I used correct punctuation? Have I proofread for correct spelling and grammar? Did I use capital letters in the correct places. . Ex. Write a paper on an agriculture career of your choice using the 6 Traits of Writing. ACADEMIC CONNECTIONS Mathematics Middle School Connections in Agriculture Education M8P4-Students will make connections among mathematical ideas and to other disciplines. M8P5-Students will represent mathematics in multiple ways. Name____________________________________ Period____ Date______________ Bill works in food crop horticulture, and for the past ten years he has been planting a two-acre field with wheat. Every time he plants the field he has seed left over which is a waste of money. This year he has a six-acre field he wants to plant. He wants to buy enough seed to plant the field, but he does not want to have any seed left over. Bill always has 50 lbs. of wheat seed left from the 200 lbs. he purchases to sow the 2-acre field. Bill now wants to plant a 6-acre field of wheat. Help him find how much seed he needs to purchase. Note: 1 pound = 16 ounces 1. How many pounds of wheat seed does he use for 2 acres of land? _________ pounds 2. How many pounds of wheat seed must Farmer Bill purchase to plant a 6-acre field? ___________ pounds 3. How many ounces of wheat seed must Farmer Bill purchase to sow a 6-acre field? ___________ ounces Answers: 1. 150 pounds 2. 450 pounds 3. 7200 ounces
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