Presentation on theme: "Presented by Juli DeNisco Crowder College AEL Director"— Presentation transcript:
1 Presented by Juli DeNisco Crowder College AEL Director Manipulating MathPresented by Juli DeNiscoCrowder College AEL Director
2 Finding PiPi = or 22/ The symbol for Pi looks like this The idea of Pi is that the circumference of a circle is approximately 3.14 times the diameter. The formula for circumference is distance (d) circumference (C).
3 Try some Pi for yourself! MATERIALS:Yarn or StringRulerCalculator (optional)Circular objectsPaper and pencilWrap a string or yarn around a circular object.Using a ruler measure the amount of stringRecord this amount. This is the CircumferenceNext measure the diameter of the circle.Multiply this number by 3.14 or π. It should be the same amountas what you recorded for the circumference of the object
4 Manipulating Math with M&M’s Math Topics Reviewed in these Lessons Organizing Data with Charts and TablesConverting Fractions, Decimals, and PercentsFinding the Mean and MedianDetermining ProbabilityFinding PercentagesGraphing DataCreating a Bar Graph and a Pie Graph
5 Manipulating Math with M&M’s Organizing Data with Charts YOUR BAG CLASSROOMCOLOR#FRACDEC%BlueBrownGreenOrangeRedYellowTotal
6 Manipulating Math with M & M’s Finding the Mean (Average) and MedianWhat is the average (mean) number of orange M&M’s in this size bag?What is the average number of blue M&M’s in this size bag?What is average number of yellow M&M’s?What is that average number of brown M&M’s?What is the average number of red M&M’s in the bag?
7 Manipulating Math with M & M’s Probability 6. If you put all of the M&M’s in a cup and mixed them up what is the probability that you would pick a red M&M?7. If you put all of the M&M’s in a cup and mixed them up what is the probability that you would pick a blue M&M?8. Under the same circumstances what is the probability that you would pick a green M&M?What is the probability you would choose a purple M&M?
8 Manipulating Math with M & M’s Finding Percentages and Median10. Using the percentage of red from the Classroom Color chart what number of red M&M’s would you expect to find in a bag of 300 M&M’s?11. Using the percentage of green from the Classroom Color chart what number of green M&M’s would you expect to find in a bag of 300 M&M’s?Using the percentage of blue from the Classroom Color chart what number of blue M&M’s would you expect to find in a bag of 300 M&M’s?13. What is the median number of M&M’s in a ‘fun size’ bag?
9 Manipulating Math with M&M’s Use the information from YOUR BAG on the M&M’s Color Chart. Put the information into the bar graph in color.121110987654321Blue Brown Green Orange Red YellowM&M Colors Bar Graph
10 Manipulating Math with M&M’s Pie ChartsSTEP 1: Cut out colored bars and tape end to end into bracelet.STEP 2: Place the bracelet on paper and trace the circle. Use the colors to determine the size of each piece of pie.
11 Thinking Inside the Box to Solve Percents All percent problems have four parts:PART%WHOLE1001.The Part2.The Percent3.The Whole4. 100
12 How to Solve for the Part What is 70% of 150? Place the known numbers in the BOXUse an X for the unknown numberMultiply the numbers that are diagonally opposite from each other.Divide the answer by the number that wasn’t used.X70150100150 X 70 =10,50010,500 / 100 =105X = 105
13 Solving for the % 15 is what percent of 30? x3010015 x 100=1,5001,500 / 30 = 50X= 50%
14 Proportions Set up a proportion box: 125 X 12 = 1500 1500 / 5 =300 MILES TRAVELEDGALLONS OF GASLAST’S WEEK’S TRIP1255NEXT TRIPX12Set up a proportion box:125 X 12 = 15001500 / 5 =300X =3001255300121255x12125 is to 300 as 5 is to 12
15 (x,y) Battleships Sample Ship Map HITS in RED Master Map has 10 ships Sample Student graphHITS in REDMISSES in BLUEMaster Map has 10 ships
19 Demystify Algebra Immediately If your student says one of these statements:I can’t do AlgebraI don’t understand AlgebraI don’t understand why there are letters and numberShow them a simple algebra problem and demystify it.“You can do algebra you just don’t realize it.”_ + 5 = 12 …”what is it?”“Yes = 12”“In algebra we use a letter instead of a blank!”x + 5 = 12
21 you must do the same to the other side. Algebra TilesAlgebra TilesSolving EquationsRemember to balance the equation. What you do to one side of the equal sign,you must do the same to the other side.X +3 = 8X + 38=
22 you must do the same to the other side. Algebra TilesSolving EquationsRemember to balance the equation. What you do to one side of the equal sign,you must do the same to the other side.X +3 = 8=X = 5
26 Algebra TilesUsing Algebra Tiles to Teach Negative and Positive Computation
27 Addition and Subtraction of Negative and Positive Numbers This activity helps students to understand the concept of subtracting a negative number and changing both of the– signs to + signs.Make cards with positive numbers from on one side and negative numbers on the back.Also make a card with - on one side and + on the back.FLIP these cards-6 + (+5) = -1Also written -6+5= -1You will now move five places in the positive direction.-6--5++5
28 Financial Math Free Financial Literacy curriculum available online from Wells Fargo Bank!Free Interactive online program for students HANDS ON BANKINGFree PRINTABLES – comprehensive lesson plans and worksheets for kids, teens, young adults and adults
29 PIG DICE GAME Practice Addition Skills Practice Multiplication Skills Each player takes turns rolling dice. If you roll a double you loss your turn. If you roll a snake eyes (2 ones) you loss your entire bank.Add the two dice for points and total resultsFirst one to 100 wins!Practice Multiplication SkillsUse two sets of dice one set will represent one of the numbers to be multipliedMultiply the total of first two dice times the total of the other set of dice. If you roll a double you loss your turn. If you roll a snake eyes (2 ones) you loss your entire bank.First player to 500 wins!
33 RESOURCES FunTastic Math Games grades 5-8 CONTACT: Juli DeNisco Abebooks.comFantastic Math GamesISBNReproducible card games, board games, dice games, word and picture games to reinforce math skillsCONTACT:Juli DeNiscoAEL DirectorCrowder College601 Laclede AveNeosho, MO 64850