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Presented by Juli DeNisco Crowder College AEL Director.

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1 Presented by Juli DeNisco Crowder College AEL Director

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).

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

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

5 Organizing Data with Charts YOUR BAGCLASSROOM COLOR # FRACDEC % COLOR # FRACDEC % Blue Brown Green Orange Red Yellow Total

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?

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?

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?

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

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

11 The Part The Percent The Whole 100 All percent problems have four parts: PART % WHOLE 100

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

13 15 is what percent of 30? 15 x 100=1,500 1,500 / 30 = 50 X= 50%

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

15 Using a proportion box Answer: 125 X 12 = 1, / 5 =300 X =300 STUDENT TOOL BOX: Note the relationship between the percent box and the proportions box Part % Whole 100

16 Sample Ship Box Sample Student Graph Master Map has 10 shipsHITS in RED MISSES in BLUE Plotting X-Y Coordinates

17 STUDENT TOOLBOX: (X, Y) Z The horizontal axis is called the x-axis. And the vertical one is the y-axis.

18 Define Terms: Right Angle Sides Hypotenuse STUDENT TOOLBOX: The Hypotenuse is always C. It can be remembered as the C for Cut across.

19 Arrange Squares Trace Triangles Measure Sides Observe the relationship between sides and hypotenuse

20 Plug in the numbers and SOLVE. c² = a² + b² c² = 4² + 3² c² = c² = 25 Square root of 25 = 5 C = 5

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, = 12 In algebra we use a letter instead of a blank! x + 5 = 12 Demystify Algebra Immediately

22 X 2 X 2 X X Positive 1 11 Negative

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 X +3 = 8 X =

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

25 Solving Two-Step Equations 2x + 3 = 11 X = X

26 Solving Two-Step Equations 2x + 3 = 11 X = X

27 Solving Two-Step Equations 2x + 3 = 11 X = X X = 4

28 Using Algebra Tiles to Teach Negative and Positive Computation

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.

30 FLIP cards -6 + (+5) = -1 Also written -6+5= -1 You will now move five places in the positive direction.

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

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!

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35 CONTACT: Juli DeNisco AEL Director Crowder College 601 Laclede Ave Neosho, MO

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