Multiply by Divide Math sheet: 1. Print out blank copy (page attached below) 2. Observe sample data chart – use numbers if you are missing samples!!!! 3. Study teacher calculations 4. Use a blank piece of paper and do the following a. trace a circle (any can will do) b. mark the approximate center of circle using ruler c. draw the starting line 5. Students fill out individual data chart & math sheet 6. Use math sheet to make a pie graph: Sample data chart (students have their charts glued into page 81) **STUDENTS with NO data may copy sample 2 or 3 if needed – PLEASE DO NOT CHANGE your numbers – they ARE CORRECT!!!! Stage of Cell 1st sample Cycle Interphase 84 2nd sample 3rd sample 262 234 Total number 580 M1: Prophase M2: Metaphase M3: Anaphase M4: Telophase Total # of cells counted: 12 19 7 2 6 3 3 2 5 7 4 10 293 660 Data Analysis: Multiplying by Dividing Pie Graph instructions: a. The math: Use the following equation to figure out the % of cells in each of the following stages/phases: Interphase, Prophase, Metaphase, Anaphase, Telophase Total of 1st sample + 2nd sample + 3rd sample in stage/phase Total of all cells in all 5 stages x 100 = % of cells in stage Ex. Interphase 1st sample = 10 in interphase 2nd sample = 9 in Interphase (32 = total cells in interphase) 3rd sample = 13 in interphase Interphase total = 32/ prophase = 3/metaphase = 5/ anaphase =6 / telophase = 4 (total of 50 cells counted in all of the stages/phases) 32 cells in interphase 50 cells all together x 100 = 64% of the cells in interphase b. The graph: 100% of a circle is 360° of that circle. 50% of a circle would be half of that = 180°. 25% of a circle would be equal to 90°. Use the following equation to calculate the number of degrees of the circle that is needed to represent the percent of cells at each stage: 360° x ____ % of cells(hit the % key) = the total number of degrees needed in the pie graph 360° x 64% = 230.4 ° of total circle = Interphase Compilation of the data: What % of cells are in each stage at a given time? Column #1: Stage name: Column #2 (letter a): 1st sample + 2nd sample + 3rd sample In stage______________ Total of all cells in all 5 stages Interphase 84 + 262 + 234 =580 x 100 = 87.9% 660 Prophase 12 + 19 + 7 =38 660 x 100 Column #3 (letter b): # of degrees needed in pie graph (instruction # 2) x 100% 360° x ____ % (hit % key) *use % from column 2 360° X 87.9% = 316.4° 360° x 5.76% = 20.7° = 5.76% Metaphase 2 + 6 + 3 = 11 x 100 = 1.67 % 660 360° x 1.67% = 6.0° Anaphase 3 + 2 + 5 = 10 x 100 = 1.52 % 660 360° x 1.52% = 5.5° Telophase 7 + 4 + 10 = 21 x 100 = 3.18 % 660 360° x 3.18% = 11.4° Data Analysis: Multiplying by Dividing Pie Graph instructions: a. The math: Use the following equation to figure out the % of cells in each of the following stages/phases: Interphase, Prophase, Metaphase, Anaphase, Telophase Total of 1st sample + 2nd sample + 3rd sample in stage/phase Total of all cells in all 5 stages x 100 = % of cells in stage Ex. Interphase 1st sample = 10 in interphase 2nd sample = 9 in Interphase (32 = total cells in interphase) 3rd sample = 13 in interphase Interphase total = 32/ prophase = 3/metaphase = 5/ anaphase =6 / telophase = 4 (total of 50 cells counted in all of the stages/phases) 32 cells in interphase 50 cells all together x 100 = 64% of the cells in interphase b. The graph: 100% of a circle is 360° of that circle. 50% of a circle would be half of that = 180°. 25% of a circle would be equal to 90°. Use the following equation to calculate the number of degrees of the circle that is needed to represent the percent of cells at each stage: 360° x ____ % of cells(hit the % key) = the total number of degrees needed in the pie graph 360° x 64% = 230.4 ° of total circle = Interphase Compilation of the data: What % of cells are in each stage at a given time? Column #1: Stage name: Column #2 (letter a): 1st sample + 2nd sample + 3rd sample In stage______________ Total of all cells in all 5 stages Column #3 (letter b): # of degrees needed in pie graph (instruction # 2) x 100% 360° x ____ % (hit % key) *use % from column 2 Interphase Prophase Metaphase Anaphase Telophase