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Presented by Juli DeNisco Crowder College AEL Director Slide 2 Pi = 3.14 or 22/7 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). Slide 3 Materials: Yarn or String Ruler Calculator Circular Object Paper and Pencil o Wrap a string or yarn around a circular object. o Using a ruler measure the amount of string o Record this amount. This is Circumference o Next measure the diameter of the circle Slide 4 Math topics reviewed in this lesson: o Organizing Data with Charts and Tables o Converting Fractions, Decimals, and Percents o Finding the Mean and Median o Determining Probability o Finding Percentages o Graphing Data o Creating a Bar Graph and a Pie Graph Slide 5 Organizing Data with Charts YOUR BAGCLASSROOM COLOR # FRACDEC % COLOR # FRACDEC % Blue Brown Green Orange Red Yellow Total Slide 6 Finding the Mean (Average) and Median 1.What is the average (mean) number of orange M&Ms in this size bag? 2.What is the average number of blue M&Ms in this size bag? 3.What is average number of yellow M&Ms? 4.What is that average number of brown M&Ms? 5.What is the average number of red M&Ms in the bag? Slide 7 Probability 6. If you put all of the M&Ms 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&Ms 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? 9.What is the probability you would choose a purple M&M? Slide 8 Finding Percentages and Median 10. Using the percentage of red from the Classroom Color Chart what number of red M&Ms would you expect to find in a bag of 300 M&Ms? 11. Using the percentage of green from the Classroom Color chart what number of green M&Ms would you expect to find in a bag of 300 M&Ms? 12.Using the percentage of blue from the Classroom Color chart what number of blue M&Ms would you expect to find in a bag of 300 M&Ms? 13. What is the median number of M&Ms in a fun size bag? Slide 9 Use the information from YOUR BAG on the M&Ms Color Chart. Put the information into the bar graph in color. Blue Brown Green Orange Red Yellow Graphing Information Slide 10 STEP 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. Graphing Relationships Slide 11 The Part The Percent The Whole 100 All percent problems have four parts: PART % WHOLE 100 Slide 12 What is 70% of 150? 1.Place the known numbers in the BOX 2.Use an X for the unknown number 3.Multiply the numbers that are diagonally opposite from each other. 4.Divide the answer by the number that wasnt used. 150 X 70 =10,500 10,500 / 100 =105 X = 105 PART % WHOLE 100 Slide 13 15 is what percent of 30? 15 x 100=1,500 1,500 / 30 = 50 X= 50% Slide 14 Using a proportion box Question: Last week Meredith traveled 125 miles on 5 gallons of gas. If she buys 12 gallons of gas approximately how far will she be able to travel on her next trip ? STUDENT TOOL BOX: Note the relationship between the percent box and the percentage box Slide 15 Using a proportion box Answer: 125 X 12 = 1,500 1500 / 5 =300 X =300 STUDENT TOOL BOX: Note the relationship between the percent box and the proportions box Part % Whole 100 Slide 16 Sample Ship Box Sample Student Graph Master Map has 10 shipsHITS in RED MISSES in BLUE Plotting X-Y Coordinates Slide 17 STUDENT TOOLBOX: (X, Y) Z The horizontal axis is called the x-axis. And the vertical one is the y-axis. Slide 18 Define Terms: Right Angle Sides Hypotenuse STUDENT TOOLBOX: The Hypotenuse is always C. It can be remembered as the C for Cut across. Slide 19 Arrange Squares Trace Triangles Measure Sides Observe the relationship between sides and hypotenuse Slide 20 Plug in the numbers and SOLVE. c = a + b c = 4 + 3 c = 16 +9 c = 25 Square root of 25 = 5 C = 5 Slide 21 If your student says one of these statements: I cant do Algebra I dont understand Algebra I dont understand why there are letters and number Show them a simple algebra problem and demystify it. You can do algebra you just dont realize it. _ + 5 = 12 what is it? Yes, 7 + 5 = 12 In algebra we use a letter instead of a blank! x + 5 = 12 Demystify Algebra Immediately Slide 22 X 2 X 2 X X 1 1 1 Positive 1 11 Negative Slide 23 Solving Equations 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 +3 = 8 X = Slide 24 Solving Equations 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 = X = X = 5 Slide 25 Solving Two-Step Equations 2x + 3 = 11 X = X Slide 26 Solving Two-Step Equations 2x + 3 = 11 X = X Slide 27 Solving Two-Step Equations 2x + 3 = 11 X = X X = 4 Slide 28 Using Algebra Tiles to Teach Negative and Positive Computation http://mathbits.com/MathBits/AlgebraTiles/AlgebraTiles.htm Slide 29 Understanding the concept of subtracting a negative number and changing both of the negative signs to positive signs Make cards with positive numbers from 1-9 on one side and negative numbers on the back. Also make a card with - on one side and + on the back. Slide 30 FLIP cards -6 + (+5) = -1 Also written -6+5= -1 You will now move five places in the positive direction. Slide 31 Free Financial Literacy online curriculum From Wells Fargo Bank! Free Interactive online program for students HANDS ON BANKING Free PRINTABLES comprehensive lesson plans and worksheets for kids, teens, young adults and adults Slide 32 DICE GAME Practice Addition 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 results First one to 100 wins! Practice Multiplication Skills Use two sets of dice one set will represent one of the numbers to be multiplied Multiply 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! Slide 33 Slide 34 Slide 35 CONTACT: Juli DeNisco AEL Director Crowder College 601 Laclede Ave Neosho, MO 64850 julidenisco@crowder.edu Slide 36 Slide 37