ࡱ> s e7bjbj2)2) kPCfPCf.gZZ$P`, IF8CAP ,!^@DDF0IF,@K "K<AAnKDBf!f!#f!f!f!f!f!EE"f!f!f!IFf!f!f!f!Kf!f!f!f!f!f!f!f!f!ZX : Program Information[Lesson Title] Adding and Subtracting Integers TEACHER NAME PROGRAM NAME Columbiana County Career & Tech Center[Unit Title] Financial Literacy NRS EFL 4TIME FRAME 120 minutesInstruction  HYPERLINK "https://www.ohiohighered.org/sites/ohiohighered.org/files/uploads/able/reference/standards/FY15%20CCRs-Ohio%20ABE%20ASE%20Standards.pdf" ABE/ASE Standards Mathematics Numbers (N)Algebra (A)Geometry (G)Data (D)Numbers and Operation Operations and Algebraic ThinkingGeometric Shapes and FiguresMeasurement and DataThe Number SystemN.4.2, N.4.3 N.4.5, N.4.6, N.4.7Expressions and EquationsCongruenceStatistics and ProbabilityRatios and Proportional Relationships FunctionsSimilarity, Right Triangles. And TrigonometryBenchmarks identified in RED are priority benchmarks. To view a complete list of priority benchmarks and related Ohio Aspire lesson plans, please see the  HYPERLINK "http://trc.ohioable.org/" Curriculum Alignments located on the  HYPERLINK "http://trc.ohioable.org/" Teacher Resource Center.Number and Quantity Geometric Measurement and DimensionsModeling with Geometry Mathematical Practices (MP)(Make sense of problems and persevere in solving them. (MP.1)Use appropriate tools strategically. (MP.5)(Reason abstractly and quantitatively. (MP.2)Attend to precision. (MP.6)Construct viable arguments and critique the reasoning of others. (MP.3)(Look for and make use of structure. (MP.7)(Model with mathematics. (MP.4)Look for and express regularity in repeated reasoning. (MP.8)LEARNER OUTCOME(S) Students will be able to solve addition, subtraction, multiplication, and division problems using integers, understand the concept of absolute value, and apply these methods to real-world events. ASSESSMENT TOOLS/METHODS SAMS (printable assessment modules align with TABE) Teacher-made assessment, Integer Word Problems worksheet and text book lessons on integers LEARNER PRIOR KNOWLEDGE Addition, subtraction, multiplication, and division of positive whole numbers, decimals, and fractions. Knowledge of negative numbers. INSTRUCTIONAL ACTIVITIES The teacher will demonstrate the concept of matched and mismatched shoes to illustrate the rules for multiplying and dividing integers. If a pair of shoes match, regardless of whether the shoes are red or black, it is positive (your classmates will not laugh at you!) If a pair of shoes does not match, one red and one black shoe, it is negative (your classmates will laugh at you!) This rule also applies to multiplying and dividing integers. If you multiply or divide two integers with matching signs, your answer will be positive. If you multiply or divide two integers with different signs, your answer will be negative. Teacher will demonstrate how to relate positive numbers to having money or getting a paycheck and negative numbers to owing money or getting a bill in order to solve addition integer problems. If you get two paychecks (two positive numbers), you add the two checks to get the total, which is a positive amount. If you get two bills (two negative numbers), you owe the total of the two bills, which is a negative amount. If you get a paycheck and a bill (one positive and one negative number), you first have to find the difference between the two (either how much money you have left after you pay the bill, or how much more money you need in order to pay the whole bill). If your paycheck was more than the bill, you have a positive amount left in your account. If your bill was more than your paycheck, than you have a negative amount in your account. Students will be shown how to change subtraction problems involving integers into addition problems, to which they can apply the rules they have been taught for the addition of integers. To change subtraction problems to addition, remember Keep, Change, Flip. Keep the sign of the first number of the problem the same, change the minus sign to a plus sign, then flip the sign of the second number (negative becomes positive and vice versa). The concept of absolute value will be introduced. Absolute value shows the distance a number is from zero on a number line. Applications involving distance will be discussed. For example, if one student lives four blocks east of school, and another student lives four blocks west of school, neither distance is considered negative. Students will practice these skills using problems Common Core Basics: Building Essential Test Readiness Skills (Mathematics) Lesson 4.1 Introduction to Integers and Absolute Value, Lesson 4.2 Add Integers, Lesson 4.3 Subtract Integers. Word problems will be introduced that use integers in real-life applications, such as money, temperature, and elevation with the handout Integer Word Problems. Extension activity Students will utilize their skills with integers by working on a business bookkeeping or personal financial ledger. Teacher Note For more information on ledgers, check out  HYPERLINK "http://www.ehow.com/how_10075582_keep-personal-financial-ledger.html" How to Keep a Personal Financial Ledger or  HYPERLINK "http://www.moneyinstructor.com/art/acctledgers.asp" The Cornerstone of Bookkeeping: Your Accounting Ledgers. Bookkeeping Ledger Templates can be downloaded online, created using an Excel spreadsheet, or are available at local office supply stores.RESOURCES Two pairs of shoes for teacher demonstration White/chalk board Common core basics: Building essential test readiness skills (Mathematics). (2015). Columbus, OH: McGraw-Hill Education. Base 10 or base 20 individual dry erase boards for student use Number tiles, number line for student use Picture of a thermometer Calculators for student use Student copies of Integer Word Problems (attached) Challenge Exercises: Integer Word Problems. (n.d.). Retrieved from  HYPERLINK "http://www.mathgoodies.com/lessons/vol5/challenge_vol5.html" http://www.mathgoodies.com/lessons/vol5/challenge_vol5.html Extension activity resources: Johnston, E. (n.d.). How to Keep a Personal Financial Ledger. Retrieved from  HYPERLINK "http://www.ehow.com/how_10075582_keep-personal-financial-ledger.html" http://www.ehow.com/how_10075582_keep-personal-financial-ledger.html Bookkeeping: Your Accounting Ledgers. (n.d.). Retrieved from  HYPERLINK "http://content.moneyinstructor.com/1416/accounting-ledgers.html" http://content.moneyinstructor.com/1416/accounting-ledgers.html DIFFERENTIATION Utilize number lines and thermometers (a number line on its side) to practice addition and subtraction in a concrete way. Use newspaper weather data to compare the high and low temps for cities. Be sure to write out the problem you are solving [i.e., The difference between the high and low temp in North Pole, Alaska in December 2015 (44 - (-31) = ? )] Allow students to work with a partner to on integer word problem practice. ReflectionTEACHER REFLECTION/LESSON EVALUATION Practice calculations with integers on the TI-30XS calculator. Provide lots of practice. Operations with integers is a difficult concept for students to master. Additional Information  Sample Bookkeeping Ledger 2005 Actual versus Budget YTDG/L CodeAccount TitleActualBudgetRemaining $Remaining %1000Advertising $ 750.75  $ 100,000.00  $ 99,249.25 99.25%2000Office Equipment $ -  $ 100,000.00  $ 100,000.00 100.00%3000Printers $ -  $ 100,000.00  $ 100,000.00 100.00%4000Server Costs $ -  $ 100,000.00  $ 100,000.00 100.00%5000Supplies $ -  $ 50,000.00  $ 50,000.00 100.00%6000Client Expenses $ -  $ 25,000.00  $ 25,000.00 100.00%7000Computers $ 2,500.00  $ 75,000.00  $ 72,500.00 96.67%8000Medical Plan $ -  $ 65,000.00  $ 65,000.00 100.00%9000Building Costs $ -  $ 125,000.00  $ 125,000.00 100.00%10000Marketing $ -  $ 100,000.00  $ 100,000.00 100.00%11000Charitables $ 2,500.00  $ 250,000.00  $ 247,500.00 99.00%12000Sponsorships $ 1,000.00  $ 50,000.00  $ 49,000.00 98.00%TOTAL $ 6,750.75  $ 1,140,000.00  $ 1,133,249.25 99.41%Sample Forms  HYPERLINK "http://www.suite101.com/content/sample-forms-for-small-business-bookkeeping-a145882" http://www.suite101.com/content/sample-forms-for-small-business-bookkeeping-a145882 Integer Word Problems 1. Katherine is very interested in cryogenics (the science of very low temperatures). With the help of her science teacher she is doing an experiment on the affect of low temperatures on bacteria. She cools one sample of bacteria to a temperature of -51C and another to -76C. What was the temperature difference in the two experiments? A) -127 B) -25 C) 127 D) 25 2. On Tuesday the mailman delivers 3 checks for $5 each and 2 bills for $2 each. If you had a starting balance of $25, what is the ending balance? A) 26 B) 36 C) 6 D) -26 3. You owe $225 on your credit card. You make a $55 payment and then purchase $87 worth of clothes at Dillards. What is the integer that represents the balance owed on the credit card? A) -367 B) -257 C) 257 D) 367 4. If it is -25F in Rantoul and it is 75F in Honolulu, what is the temperature difference between the two cities? A) -125 B) 50 C) -50 D) 100 5. During the football game, Justin caught three passes. One was for a touchdown and went 52 yards. The other was for a first down and was for 17 yards. The other was on a screen pass that did not work so well and ended up a gain of -10 yards. What was the total yardage gained by Justin on the pass plays? A) 62 B) -39 C) 69 D) 59 6. James plays in the backfield of the Big Town football team. Last week he ran four plays from the halfback position. He made "gains" measured in yards of 3, 4, 1, and 5. What were his average yards per gain? Round your answer to the nearest tenth of a yard. A) 13 B) 3 C) 4 D) 3.2 7. In golf, the average score a good player should be able to achieve is called "par." Par for a whole course is calculated by adding up the par scores for each hole. Scores in golf are often expressed at some number either greater than or less than par. Ms. Floop is having a pretty good day at the Megalopolis City Golf Club. Her score so far after 15 holes is -3. If par for 15 holes is 63, what is her score? A) 63 B) 66 C) 60 D) 65 8. It was a very freaky weather day. The temperature started out at 9C in the morning and went to -13C at noon. It stayed at that temperature for six hours and then rose 7C. How far below the freezing point (0C) was the temperature at 6 p.m.? A) 0 B) 12 C) 3 D) 6 9. The mailman delivered a $22 check and 3 - $14 bills today. He also took back 1- $5 bill. What is the total in the mailbox? A) -59 B) -15 C) 15 D) -25 10. A monkey sits on a limb that is 25 ft above the ground. He swings up 10 ft, climbs up 6 ft more then jumps down 13 ft. How far off the ground is the monkey now? A) 25 ft B) 31 ft C) 54 ft D) 28 ft 11. Mary has $267 in her checking account. She writes checks for $33, $65, and $112. What is the balance in her account now? A) 57 B) -57 C) 67 D) -67 12. A submarine dove 836 ft. It rose at a rate of 22 ft per minute. What was the depth of the submarine after 12 minutes? 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