Report

Presented by Juli DeNisco Crowder College AEL Director 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). Materials: Yarn or String Ruler Calculator Circular Object Paper and Pencil o o o o Wrap a string or yarn around a circular object. Using a ruler measure the amount of string Record this amount. This is Circumference Next measure the diameter of the circle Math topics reviewed in this lesson: o o o o o o o Organizing Data with Charts and Tables Converting Fractions, Decimals, and Percents Finding the Mean and Median Determining Probability Finding Percentages Graphing Data Creating a Bar Graph and a Pie Graph Organizing Data with Charts YOUR BAG COLOR # FRAC CLASSROOM DEC % COLOR Blue Blue Brown Brown Green Green Orange Orange Red Red Yellow Yellow Total Total # FRAC DEC % Finding the Mean (Average) and Median 1. What is the average (mean) number of orange M&M’s in this size bag? 2. What is the average number of blue M&M’s in this size bag? 3. What is average number of yellow M&M’s? 4. What is that average number of brown M&M’s? 5. What is the average number of red M&M’s in the bag? 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? 9. What is the probability you would choose a purple M&M? Finding Percentages and Median 10. 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? 12.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? Graphing Information Use the information from YOUR BAG on the M&M’s Color Chart. Put the information into the bar graph in color. Blue Brown Green Orange Red Yellow Graphing Relationships 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. All percent problems have four parts: PART WHOLE % 100 The Part The Percent The Whole 100 1. 2. 3. 4. What is 70% of 150? PART % WHOLE 100 Place the known numbers in the BOX Use an X for the unknown number Multiply the numbers that are diagonally opposite from each other. Divide the answer by the number that wasn’t used. 150 X 70 =10,500 10,500 / 100 =105 X = 105 15 is what percent of 30? 15 x 100=1,500 1,500 / 30 = 50 X= 50% 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 Using a proportion box Answer: 125 X 12 = 1,500 1500 / 5 =300 X =300 Part % Whole 100 STUDENT TOOL BOX: Note the relationship between the percent box and the proportions box Plotting X-Y Coordinates Sample Ship Box Master Map has 10 ships Sample Student Graph HITS in RED MISSES in BLUE The horizontal axis is called the x-axis. And the vertical one is the y-axis. STUDENT TOOLBOX: (X, Y) Z Define Terms: Right Angle Sides Hypotenuse STUDENT TOOLBOX: The Hypotenuse is always C. It can be remembered as the C for Cut across. Arrange Squares Trace Triangles Measure Sides Observe the relationship between sides and hypotenuse Plug in the numbers and SOLVE. c² = a² + b² c² = 4² + 3² c² = 16 +9 c² = 25 Square root of 25 = 5 C = 5 Demystify Algebra Immediately If your student says one of these statements: • • • I can’t do Algebra I don’t understand Algebra I don’t understand why there are letters and number Show them a simple algebra problem and demystify it. “You can do algebra you just don’t realize it.” _ + 5 = 12 …”what is it?” “Yes, 7 + 5 = 12” “In algebra we use a letter instead of a blank!” x + 5 = 12 X 2 X X 1 1 Positive 2 X 1 1 1 Negative 1 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+3 8 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 = Solving Two-Step Equations 2x + 3 = 11 X X = Solving Two-Step Equations 2x + 3 = 11 X X = Solving Two-Step Equations 2x + 3 = 11 X = X=4 X Using Algebra Tiles to Teach Negative and Positive Computation http://mathbits.com/MathBits/AlgebraTiles/AlgebraTiles.htm 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. FLIP cards -6 + (+5) = -1 Also written -6+5= -1 You will now move five places in the positive direction. 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 • 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! CONTACT: Juli DeNisco AEL Director Crowder College 601 Laclede Ave Neosho, MO 64850 [email protected]