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Math Can be Fun! Switching up Guided and Independent Practice with Differentiation, Math Games, and Real World Applications 6th – 12th Grade Math Strategies (middle school content) Emily Mason emilyruthmason@gmail.com 1 Table of Contents: I. Differentiation Strategies…………………………………………………………………………………….3 a. Choose Your Recipe (3) b. Color Coded (4) c. Grab Bag (4) d. Matching (4) II. Math Games………………………………………………………………………………………………………..5 a. Round Robin (5) b. Boss-Secretary (6) c. Sequence (7) d. Maze Game (7-8) e. Beat the Buzzer (8) f. Find Someone Who (8-9) g. Whiteboards (9) h. Learning Stations (10-14) i. Bingo (14-15) j. Jeopardy (15) III. Real World Applications…………………………………………………………………………………….16 a. The Choices of Life (16-18) b. Daily Suggestions (19-20) 2 Differentiation: a. Choose Your Recipe Purpose: A fun way to switch up guided or independent practice that gives your students choice in the problems they complete. Choice not only helps with investing your students in the math lesson (especially at the middle school level when students continuously try to express their independence), it also allows you to differentiate for your students of varying math ability. Explanation: Group problems that are aligned with the objective you are teaching that day into varying levels of difficulty. I typically break my problems into three levels of rigor (remedial, medium, and advanced—DO NOT LABEL THE PROBLEMS AS SUCH). The remedial problems are worth 1 point, medium 2 points, and advanced 3 points. Within each level of rigor, you want to ensure that the same part of your objective is being practiced except at varying levels of difficulty. For example, if one type of problem you want them to practice is one-step equations, each problem in the varying levels of difficulty should assess one-step equations. For example: Easy (1 point) : x – 8 = 10 Medium (2 points): 24 = x + 9 Advanced (3 points): -36 = -5 + x **You can either tell students they need to solve at least 30 points. Or, you could tell certain students to just solve one-point problems if you know they are typically a student who struggles. Or, you could assign a different amount of points to different students depending on their ability, etc.** Example: Directions: Choose your recipe! You must solve 20 points by choosing your recipe of 1 point, 2 point, or 3 point problems. Remember, you may choose to solve a combination of 1 point, 2 point, and 3 point problems, or, you could choose all 3 point problems. IT IS YOUR CHOICE, but make sure to show all steps!! 1 Point Problems 2 Point Problems 3 Point Problems x 9 10 8 x 2 32.5 8.9 g Janelle has a credit card balance The Fanning Falcons played in a Ja’Quan had -$12.15 in his of -$30.00. She spends another big football gain. On the first account, he deposited a check $15.00 and puts it on her credit play they gained 15 yards, then for $34.52 and then deposited card. What is her balance now? lost 23 yards, and lost an an additional check for $101.17. additional 32 yards. What is How much money does Ja’Quan there total net gain or loss? have now? -2 + 8 – 9 = x -23 – 39 + 19 = y -210.6 + 34.5 – 26.53 = t You get the hint! Make as big of recipe as you need to in order to meet the needs of your students. 3 b. Color Coded Purpose: The purpose of Color Coded is identical to that of Choose Your Recipe. It allows you to differentiate among your students and gives your students choice in the lesson. Explanation: This strategy is really similar to Choose Your Recipe. Instead of labeling the problems as points, yous imply highlight the problems you offer your students in different colors. In this sense, you should already have a system to match up the color with the level of difficulty of the problem. c. Grab Bag Purpose: This strategy allows you to differentiate, and it also allows you to make math practice more exciting because students don’t know what type of problem they are going to pull out of the bag. Students get excited trying to move up to higher difficulty problems—they enjoy the challenge. Explanation: Have three different paper bags/containers and put the problems of varying difficulty levels into the different containers. Label the different containers as “basic,” “getting tougher,” “black diamond problems” (or something along those lines to show students the varying level of difficulty). Students can be seated in groups, partners, or as individuals. One member then comes up to the main table, pulls a problem and brings it back to their seat. You can even have them pick three different problems at once to minimize movement in your class. Typically I say that students have to solve at least 3 “basic” problems correctly before they can move up to the “getting tougher” and “black diamond problems.” This way, it is a challenge and students can move up in difficulty as they prove mastery of the lower-level rigor problems. d. Matching Purpose: This strategy should be used for differentiation as well as switching up practice from the traditional paper-pencil methods. Explanation:Make a document with two columns. The first column should have the problem and the second column should have the answer. Once you have made all problems and answers, cut up the problems and answers into their individual strips and place them in individual envelopes. You can give students with lower math ability lower level problems to match, and vice versa. Example: Identify the slope and y-intercept of the following Slope: -4 equation: y = -4x - 8 Y-Intercept: -8 2 4 y= x Put the equation in slope-intercept form: 3 3 2x + 3y = 4 Identify the slope and y-intercept of the following Slope: -8 equation: y = -8x – 4 y-intercept: -4 Obviously, you would make more problems, cut up the strips, and then place into an envelope. Students then match the problem with the answer. This is a great way to check for understanding as well. 4 II. Math Games: a. Round Robin Purpose: This is a cooperative learning strategy that allows for group work in which each student has a specific purpose within the activity (ensuring that there are no social loafers). This actually can be a differentiation strategy as well if you ensure that within one group there is one high student, one low student, and to average performing students. This way, the lower student receives the support that he/she needs, and the high student benefits in acting as “tutor.” Explanation: The directions are given in the example template below. Put groups of four together (ensure that the groups are pre-planned to avoid classroom management issues and to ensure that you have one low student, two average students, and one high student in a group). Assign each student a color pencil and have them record their name in that color (this way you, as the teacher, know which student was responsible for specific steps in the activity—this helps you see which student struggled with the activity, and also holds students accountable for EACH pulling their rope in the activity. Example: _____________________________________________________________________________________________________________________ Round Robin: Order of Operations Directions: Write your name in YOUR colored pencil on the line above. Each teammate will complete one operation (following PEMDAS), and then pass on the worksheet to the next teammate. If you feel as though someone on your team made a mistake, you may POLITELY ask them to re-think the choice they made. ***MAKE SURE YOU WATCH YOUR POSITIVE AND NEGATIVES*** Simplify the following expressions: 1) 8 6 7 2 5) 7 – 12 + 19 = 53 5 2) 25 15 6) 12 • -10 + 32 = 0 3) 11 4 15 0 7) 3 [ 19 (4 7)] 62 [4 (35 15)] 4) 15 – 7 + 42 6 • 3 = 8) 22 3 21 5 b. Boss-Secretary Purpose: This is another cooperative learning strategy that groups students in pairs and ensures that students are both able to solve a problem on paper independently, and can also walk through verbally how to solve a problem. It is imperative that we teach our students how to explain their thought process in solving a problem—the “why” component—and this strategy allows you to do that with peer support. Explanation: Directions are provided in the template before. Assign pairs ahead of time to avoid classroom management issues. Tell the student sitting closes to you to be the boss 1 and the other student to be the secretary 1 (students will have turns doing both). Ask students to come up with what a “boss” does (e.g., tells people what to do, is in charge). Ask students to come up with what a “secretary” does (e.g., takes orders from the boss, does the work for the boss). The boss tells the secretary how to solve the problem and the secretary writes down the boss’ steps. I highly suggest walking through the process of boss-secretary using “how do you make a peanut butter sandwhich” as an example to show students how the strategy works. Kids love this! Example: Scientific and Standard Notation Boss-Secretary Directions: Below are problems that require you to convert between standard notation and scientific notation. The “boss” is to tell the “secretary” exactly how to solve the problem while the “secretary” records the boss’ response. You and your partner will switch roles between boss and secretary. Boss 1 is the person in your pair sitting closest to Ms. Mason (this person is also Secretary 2) and Secretary 1 is the person sitting farthest from Ms. Mason (this person is also Boss 2). Boss 1 will answer questions 1-5 while Secretary 1 records the responses. Boss 2 will answer questions 6-10 while Secretary 2 records the responses. Boss 1: ________________ Secretary 1: __________ Boss 2:____________Secretary 2: _______________ 1) In 1995, Cambodia had a population of about 5) In 1995, Brazil had a population of about 10,720,000 people. Write this population in scientific 165,900,000 people. Write this population in scientific notation. notation. 2) Compare the following numbers: 6) Compare the following numbers: SHOW WORK! SHOW WORK! a. = b. c. a. = b. c. 3) A planet has an approximate diameter of 7) An observatory has been tracking a comet for a kilometers. Which of the following is equal distance of kilometers. Which of the to that distance? SHOW WORK. following is equal to that distance? SHOW WORK. a. 14,900 km c. 149,000 km a. 30,310,000 km c. 303,100,000 km b. 1,490 km d. 1,490,000 km b. 30,310,000,000 km d. 3,031,000,000 km 4) Order these numbers from least to greatest: 8) Order these numbers from greatest to least: ; ; 33,800,000; ; ; 43,800,000,000; 6 c. Sequence Purpose: Allows students to practice an objective (especially beneficial with a math objective that requires rote steps to come to an answer) without having to use the typical pencil-paper structure. This activity is also one that can be transformed into a cooperative learning strategy Explanation: Have index cards pre-made that show individual steps of solving a problem. Make as many cards as necessary to solve the problem and paper clip them. This is one problem. Make as many sets of problems as you need to suffice for the amount of students in your class. I suggest putting students into cooperative learning groups and assigning them numbers. Student 1 identifies the first step in solving the problem and places it on the desk. Student 2 identifies the second step and places it beneath the first step, and the process continues until the card with the solution on it is placed. Example: (each box represents an index card and the steps go in order; however, when given to your students they should obviously be out of order) Lengths of a right triangle: 144 + b2 = 1156 Hypotenuse: 34 in. -144 -144 Let: 12 in. b2 = 1012 a b c 2 2 2 122 + b2 = 342 b2 1012 144 + b2 = 1156 b = 31.81 in. e. Maze Game Purpose: FUN way to practice math problems! Explanation: Get about 20 (or however many problems you want them to practice) pieces of computer sized paper. Write out the 20 problems in big print ALL in the same color so that students will be able to see the problems (posted on the wall/whiteboard/etc.) from their seats. Write “start here” on the first problem. Students will solve the problem on their own paper. The answer they find will tell them what problem to solve next. They look for the answer in a different color marker on the top left hand corner of the next problem they should solve. Then, they solve that problem, identify the answer and find the next problem to solve. The maze ends when they solve the final problem in which the answer is written on the “start here” problem. This strategy is also great in making sure that students are not practicing problems incorrectly because they cannot move on in the maze until the find the correct answer. MAKE SURE YOU DO A GOOD JOB OF MODELING HOW MAZE GAME WORKS! 7 Example: This page represents the wall/whiteboard in which you are posting the maze problems on. x=3 x = -2 - 2x 3 7 2x 11 12 x = 1/2 START HERE! 5x 10 25 f. Beat the Buzzer Purpose: This strategy helps instill a sense of urgency in your students. It is a great way to review for tests/quizzes, or even as an assessment, and it helps make grading quite easy. Used only for individual work. Explanation: Each student needs to have a pre-made answer sheet in which they record their work for each problem. Each problem needs to be pre-written on an index card. Establish an order in which cards are going to be passed around in your room. Each student should start with a particular problem number and should record the work to that answer on the specified area on their answer sheet. Start the timer for however much time you want to give your students to complete each problem. When the timer buzzes, students need to pass their card to the next student in the established card movement in your room. Typically, my expectation is that this activity is done silently to help give me a good measure as to where students are in terms of mastery (i.e., use for independent practice). Upon the conclusion of this activity, I then switch students papers and we grade each others (this does not necessarily need to be graded for accuracy…depends on how you want to utilize this strategy). g. Find Someone Who Purpose: Find Someone Who allows students to move around the room, get their brains going, and practice problems at the same time. Explanation: Students walk around the room and complete a problem on their classmates’ sheet that they can answer. The student that answers the problem then initials the box to indiciate that they solved it. Students may only have a classmate sign their Find Someone Who sheet once (this activity also really helps continue to build classroom culture because students are reliant on each other to complete this activity). 8 Example: Find Someone Who Directions: Find someone in the class to solve each problem below. Once your classmate solves the problem (they must show all work in the box), they must sign on the line in the box. You must have ALL unique signatures—nobody can solve a problem on your sheet more than once. 1) Find the slope from the 2) Write the equation in slope- 3) Identify the slope and the y- following two points: intercept form: intercept from the following equation: -3.5x – 2y = 7.5 (2, 4) (-18, -9) y – 2x = 6 ______________________ ____________________ ________________ **Make as many problems as you see fit. I typically make a full page of Find Someone Who** h. Whiteboards Purpose: This is my all time favorite math practice strategy. It is a strategy that contains multiple purposes—1) Invests students (they LOVE working on whiteboards), 2) Allows for constant checks for understanding so that you always know where mastery is breaking down and for which students, 3) Can be used in groups or individuals, and 4) You can make them yourself (you don’t need to buy them!) Explanation: Make sure you already have your answers written out for the problems you are presenting so that you can easily check which students have the write answer or not. Make sure that the problems you give them are scaffolded and purposeful. Below are the expectation I use: 1) Solve the problem on your board 2) When you finish, “chin it” (have students pick up their boards with the top to their chin so you know which students are finishing first & other students can’t see their answers) 3) Wait until Ms. Mason says “flip it” flip your board and show Ms. Mason the work you have done up until that point. **Make sure you establish dry-erase marker expectations as well** Variation: “Whiteboard Trivia”…have students in groups of 4 (again, make sure you pre-plan these groups) to form teams. Have students write numbers on their board—one student write the number 1, one student write the number 2, etc. Put problems on overhead/whiteboard/lcd projector and ALL students must solve the problem because they do not know which number you are going to choose to show the team’s answer. This strategy is great for encouraging peer tutoring/support, and ensuring that all students are practicing because they never know which number you are going to call to give the answer. Example: I’ll show you how make them! Use a piece of paper, slide it into a plastic cover sheet, and use used socks as recyclable erasers! 9 i. Learning Stations Purpose: This strategy allows students to be practicing multiple skills in a class period, and allows for a change in the regular structure of a math classroom by allowing students to complete stations in an allotted amount of time. It is especially useful for quiz/test review. Explanation: These are pretty self-explanatory and very flexible. I typically use this strategy as a review method and each station represents an objective that will be on the unit test or quiz. Students begin at one station, start your timer, and when the buzzer goes off, students get up and move to the next station in the room. I typically have the work required of them at the stations pre-made in the form of a packet so that it is easier for students to keep track of, and easier for me to assess. Example: (This only represent portions of one of my learning stations) ______________________________________________________________________________________________________________________ Learning Station #1 Positive and Negative WAR!!! Directions: You are playing the card game WAR!! Set your desks up so that you are facing your partner. Shuffle the deck of cards. Pass out the cards so that you each have the same amount of cards. Count together: “1…2…3…” and then each person must lay a card down on their desk. BLACK cards are POSITIVE. RED cards are NEGATIVE. The first person to multiply the two numbers on the card together with the CORRECT sign (positive or negative) wins the cards (say answer out loud). If you are unsure whether an answer is positive or negative, check it on the calculator. RECORD each play on the chart below. There is an example listed in box 1. **Aces = 1, Jacks = 11, Queens = 12, Kings = 13, Jokers = 0** Rules of Multiplying Positive and Negatives: + • + = + + • - = - -•-=+ -•+=- Your Name: ____________________________ Partner’s Name: ________________________ 1) Ms. Mason: _8 of diamonds 11) Your card: ______________________ Ms. Elmore:_9 of spades___ Partner’s card:_____________________ Expression: -8•9 = -72 Expression: ____ • ____ = _____ Who won? Ms. Elmore Who won? __________________ 2) Your card: ______________________ 12) Your card: ______________________ Partner’s card:_____________________ Partner’s card:_____________________ Expression: ____ • ____ = _____ Expression: ____ • ____ = _____ Who won? __________________ Who won? __________________ **Do as many trials as you see fit** What was the point of doing this activity? What was the Algebra objective you were practicing playing War? ________________________________________________________________________________________________________________________. Did you enjoy playing War today? Why or why not?______________________________________________________________. 10 Learning Station #2 Color by Numbers SAME SIGN SUM. Directions: Solve the addition and subtraction expressions. The answers for all of the problems are listed at the top of the page. Each answer is matched with a color. Find your answer at the top of the page, and then color the specific area on your picture with that color. For example, you solve the following expression: -4 - 9 = -13. Look to the top of the page to find out what to color -13. If -13 is matched with the color green, you need to color that specific space green. Make sure that your colors make sense!!! If the answer you find for a problem tells you to color the sun green, you probably solved the expression INCORRECTLY! -12 - 14 -18 - 32 -15 + 27 1 - 19 18 - 24 -39 + 13 -60 + 10 -9 – 9 0 - 50 -12 - 6 -14 + 2 -50 = Black -26 = Green 12 = Orange -6 = Purple -18 = Red 11 Learning Station #3 Mini-Whiteboards: Partner Check DIFFERENT SIGN DIFFERENCE. Directions: Set your desks up so that you are facing your partner’s desk. There should be ONE whiteboard per pair of students. The student sitting closest to Ms. Mason’s desk should have the whiteboard, and is the “STUDENT.” The other student is the “CHECKER.” Ms. Elmore or Ms. Mason will say the problem. The STUDENT follows the steps, solves the problem, and shows the CHECKER their whiteboard. The CHECKER then explains to the STUDENT if he/she is correct. If the STUDENT is incorrect, the CHECKER needs to help the STUDENT figure out where the mistake was made. If the STUDENT is correct, the CHECKER gives the STUDENT a high-five! Be polite and respectful to each other! Your Name:____________________ Partner’s Name: ___________________ Learning Station #4 Roll Those Positive and Negatives! DIFFERENT SIGN DIFFERENCE. Directions: Move your desks so that your desk is facing your partner’s desk. Each person needs to take two wooden cubes, one that has numbers 1-8 on it and one that has numbers 9-17 on it. The student sitting closest to Ms. Mason’s desk is ROLLER 1. The other student is ROLLER 2. Roller 1 will choose which dice to throw (either the low number dice or the high number dice). Record the number in the first blank. Roller 2 will choose which dice to throw. Record the number in the second blank. Circle your integers with the sign in front and SOLVE THE EXPRESSION! Both players get a point if they answer the expression correctly! Record your points in the following boxes. There is an example in the box 1. Your name: ____________________________ Partner’s name: _________________________ Example: Example: 1) - 8 + 10 = 2 11) 9 + ( - 12 ) = -3 If you’re correct, give yourself a point:_1__ If you’re correct, give yourself a point:_1__ 12) + (- )= 2) - + = If you’re correct, give yourself a point:____ If you’re correct, give yourself a point:____ 12 Learning Station #5 Word Problem Attack! Directions: Below are four word problems that we are going to ATTACK! Your job is to read through the problems carefully, underline important information, visualize the problem, check to see if your answer makes sense, and write your answer in a complete sentence. 1) Listed below is Tashay’s checkbook. Help her balance her checkbook by adding or subtracting the following transactions: Description Amount Expression Balance: $42.00 Bought Big Mac at $4.00 McDonalds Bought mp3 player $75.00 Earned money babysitting $20.00 Owed money to Correy $22.00 Earned allowance $14.00 TOTAL: ---------- ------------------------------ Is Tashay’s balance above zero, or is she in debt? ______________________________________________ . 2) Listed below is the amount of money five individuals have after selling pizza for the 8th grade graduation fundraiser: Danielle Michelle Walter LaRon Zaid $29 -$13 -$17 $0 $16 a) Graph the integers on the number line: b) Did LaRon or Walter make the least amount of money? _________. How do you know? __________ _____________________________________________________________________________________. c) What is the difference between the amount of money Zaid made and the amount of money Michelle made? d) If all five students combine their money, will they have made a profit for the fundraiser? SHOW WORK. 13 3) The St. Louis Rams had a big football game last night. Over five plays, they gained eight yards, lost fifteen yards, gained thirty-five yards, gained another fifty yards, and then lost six yards. How many yards did they gain? 4) The temperature outside is 14°F. Arthur checks the temperature an hour later, and it has dropped eleven degrees. Later that evening, the temperature has dropped another six degrees. The next morning when Arthur wakes up, the temperature has risen fourteen degrees. What is the temperature that morning? j. Bingo Purpose: Great review game for quizzes / tests. Explanation: Come up with the problems you are reviewing ahead of time and find the answers for each problem. Record the answers on the bottom of the BINGO template. Students need to fill in whichever answers they feel like into any box on the bingo card they want to. I had access to an overhead, so what I did was write the problems on transparency sheets and then I cut them up into little pieces. I then would pull a problem transparency piece, put it on the overhead, students would solve on their individual answer sheets, cross off their BINGO square if they recorded the answer, and then we would work out the problem together if I felt we needed to go over it. Students should be required to show all work on the answer sheet that follows and DO NOT get a BINGO unless they show all work! Example: B I N G O FREE SPACE! Fill in each bingo space with ONE of the following answers (write down each answer only once): 53 32+43 2 53 7 RECORD ALL POSSIBLE ANSWERS IN THE SECTION ABOVE and have students record those answers into the individual boxes on the BINGO card.. 14 Name: ________________________ Period: ________________ BINGO ANSWER CARD: 1) (have students record the problem here, then 2) (have students record the problem here, then show their work solving it, and box their answer) show their work solving it, and box their answer) 3) (have students record the problem here, then 4) (have students record the problem here, then show their work solving it, and box their answer) show their work solving it, and box their answer) k. Jeopardy Purpose: GREAT review game a quiz/test! Explanation: This is literally the same format of regular jeopardy, except for that you put it in your own problems and answers. Students LOVE this game—and I use the same rules as Jeopardy. The only thing you need to be careful about is making sure that there are no social loafers—so I typically do Jeopardy as a “Whiteboard Trivia” style (explained in the section, Whiteboards, page 9). Example: I am not putting an example in this packet because what you need is the actual jeopardy power point slide show. This slide show is already set up to jump from the category, to the question, to the answer, and back to the main page with all categories listed. I have the Jeopardy template (already filled out with different math review problems—one 6th grade level and one 8th grade level) on my flash drive and this will be passed around for you to put onto your computer if you like. If you do not have your computer, please e-mail me (at the address on the cover page) and I will send it to you! 15 III. Applications to the Real World. a. The Choices of Life Teacher Anwer Key / Background Information to “The Choices of Life” Brief Lesson Plan: Have one index card per student in your classroom. There should be an equal number of the following phrases written on the different cards: High School Drop-Out / High School Graduate / College Graduate. Each student needs to blindly pick out a card which will tell them what level of education they received (hypothetically) and should write down their level of education on the following worksheet. Then as a class finish out the table on their worksheets. Second, complete the table of monthly and yearly costs together (make sure you decide as a class whether you want to buy a car-new or used-or use public transportation to keep the activity consistent across the students). Third, have a handful of students stand up, and say “My name is ________________, I am a (high school dropout / high school graduate / college graduate) and after all my living expenses are taken out, I have ________ dollars left over.” Record these amounts on the whiteboard and then allow students to complete the following reflection questions. The emphasis of this activity is not only relating math to the real world, but also really focusing on how CHOICES THAT WE MAKE NOW AFFECT OUR FUTURE AND THAT EDUCATION IS THE NUMBER ONE PREDICTOR OF FINANCIAL STABILITY. This activity kills two birds with one stone—relating math with the real world and focusing on the “I want” of our students as well. Estimated Totals: Average Gross Salary Average Net Salary (15%) High School Drop-Out $18,900 $16, 065 High School Graduate $25,900 $22, 015 College Graduate $45, 400 $38, 590 Masters Degree $62, 300 $46, 725 Professional Degree $99, 300 $74, 475 Living Costs Monthly Cost Yearly Cost Rent $350 $4200 Utilities $150 $1800 Car Payment (New-$23,000) $350 $4200 Car Payment (Used-$10,000) $200 $2400 Car Insurance $100 $1200 Gas $100 $1200 Public Transportation (monthly pass) $60 $720 Groceries $200 $2400 Other (clothes, shoes minimum) $50 $600 16 Name: _______________________ Class Period: ______ The Choices of Life Average salaries for different levels of education: Level of Education Average Gross Salary Average Net Salary (Gross Salary – 0.15 x Gross Salary) High School Drop-Out High School Graduate College Graduate Masters Degree $62, 300 $46, 725 Professional Degree $99, 300 $74, 475 The choices we make in life determine how much money we make a year. The amount of money we make a year determines how much money we have to spend on housing, transportation, food, and the additional things we like to buy (for example: clothes, shoes, etc.). This activity will help you realize the different amounts of money you will make whether you drop out of high school, graduate from high school, or go on to graduate from college. Your given level of education: _____________________________ . Your average yearly salary: _______________________________ . Living Costs Monthly Yearly Cost Salary Remaining Cost (monthly cost • (average yearly salary – yearly 12) cost) 1. St. Louis Rent $350 2. Utilities $150 3a. *Car Payment (New- $350 $23,000) 3b. *Car Payment (Used- $200 $10,000) 3c. *Car Insurance $100 3d. *Gas $100 4. *Public Transportation $60 (monthly pass) 5. Groceries $200 6. Other (clothes, shoes $50 minimum) 7. 8. Salary Remaining After Living Costs 17 1) How much additional money does a person with a high school degree make than a person who dropped out of high school? ___________________________________ 2) How much additional money does a person with a college degree make than a person who graduated from high school? ___________________________________ 3) What are some things you could do with the additional income you would have with a college degree? _______________________________________________________________________________________ _______________________________________________________________________________________ _______________________________________________________________________________________ 4) Do you plan on graduating from high school? ______ . Why? _________________________________ ______________________________________________________________________________________ . 5) Do you plan on graduating from college? ______ . Why? ______________________________________ _______________________________________________________________________________________ _____________________________________________________________________________________ . 6) What did you learn from this activity? How do our choices regarding education affect our future? _______________________________________________________________________________________ _______________________________________________________________________________________ _______________________________________________________________________________________ ______________________________________________________________________________________ . 7) What are some choices you can make this school year that will help you reach the level of education you want to reach? _______________________________________________________________________________________ _______________________________________________________________________________________ _______________________________________________________________________________________ ______________________________________________________________________________________ . 18 b. Daily Suggestions It is really important that you relate, as best as you can, the objective you are teaching with a real world application. The best lessons I have had (and the most successful in terms of student mastery) have been the lessons that I can relate to my students. It is such a good investment strategy in the math classroom because so often math is a foreign language to students and it is REALLY important that you can answer the question: “Why do I need to know this?” I highly suggest hooking every lesson with a real world application—you can do this by starting every lesson with a real world problem…one that your students will be able to solve by the end of class/week. Or, you could do this by always asking students to formulate ideas in the do now about how an objective can be tied to the real world. Below is a great assignment on percentages that so simply relates the objective to the real world. It is a very basic introduction to percents with low-level practice—but I had my students so engaged at the beginning of it because we came up with ways that they see percents in the real world. Then, we modeled what it’s like by actually acting out a scene from a store—“what is that extra money they add on when you buy a shirt at Aeropostle?” The example of guided practice is on the following page. This was found from the RESOURCE EXCHANGE ON TFANET. The math resources are excellent on the resource exchange so get on there and check them out! 19 20

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