1 / 37

Manipulating Math

Manipulating Math. Presented by Juli DeNisco Crowder College AEL Director . Finding Pi. Pi = 3.14 or 22/7

azize
Télécharger la présentation

Manipulating Math

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Manipulating Math Presented by Juli DeNisco Crowder College AEL Director

  2. Finding Pi Pi = 3.14 or 22/7 The symbol for Pi looks like thisThe 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 String Ruler Calculator Circular Object Paper and Pencil • 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

  4. Manipulating Math with M&M’s • Math topics reviewed in this lesson: • 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

  5. Manipulating Math with M&M’s Organizing Data with Charts

  6. Manipulating Math with M & M’s Finding the Mean (Average) and Median • What 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 greenM&M? • What is the probability you would choose a purple M&M?

  8. Manipulating Math with M & M’s 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? • 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 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 BrownGreen Orange Red Yellow

  10. Manipulating Math with M&M’s 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.

  11. Thinking Inside the Boxto Solve Percents • The Part • The Percent • The Whole • 100 • All percent problems have four parts:

  12. How to Solve for the Part • What is 70% of 150? • 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

  13. Solving for the Percent • 15 x 100=1,500 • 1,500 / 30 = 50 • X= 50% • 15 is what percent of 30?

  14. Proportions 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. Proportions 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

  16. Cartesian Coordinate Graph Plotting X-Y Coordinates • Sample Ship Box • Sample Student Graph Master Map has 10 ships HITS in RED MISSES in BLUE

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

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

  19. Pythagorean Theorem • Arrange Squares • Trace Triangles • Measure Sides • Observe the relationship between sides and hypotenuse

  20. Pythagorean Theorem • Plug in the numbers and SOLVE. • c² = a² + b² • c² = 4² + 3² • c² = 16 +9 • c² = 25 • Square root of 25 = 5 • C = 5

  21. Algebra 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

  22. Algebra Tiles X X 2 2 X X 1 1 1 1 1 1 Positive Negative

  23. Algebra Tiles 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

  24. Algebra Tiles 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 X = 5 =

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

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

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

  28. Algebra Tiles Using Algebra Tiles to Teach Negative and Positive Computation • http://mathbits.com/MathBits/AlgebraTiles/AlgebraTiles.htm

  29. Addition and Subtraction of Negative and Positive Numbers 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. Addition and Subtraction of Negative and Positive Numbers FLIP cards -6 + (+5) = -1 Also written -6+5= -1 You will now move five places in the positive direction.

  31. Financial Math Free Financial Literacy online curriculum From Wells Fargo Bank! • Free Interactive online program for studentsHANDS ON BANKING • Free PRINTABLES – comprehensive lesson plans and worksheets for kids, teens, young adults and adults

  32. Whole Numbers 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!

  33. Manipulating Math Toolkit

  34. Manipulating Math Toolkit

  35. RESOURCES • CONTACT: Juli DeNisco AEL Director Crowder College 601 Laclede Ave Neosho, MO 64850 julidenisco@crowder.edu

  36. Collaboration Activity

  37. Partner Activity

More Related