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Math in Science In science we use the metric system to make measurements in the lab The basic unit of the metric system include: Gram (mass) Liter (volume) Meters (length) Lets practice converting with in the metric system First to remember the order King Henry Died Drinking Chocolate Milk Now lets look at the ladder that will help you convert between these measurements. See Metric Mania PowerPoint on site!
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Math in Science Some tools that allows us to ANALYZE data:
Weight- measure of the force of gravity working on you Unit is the Newton (N) Mass- how much matter is in an object (units g, kg, mg) Describe what we would find if we compared weight and mass on the moon. Volume- the amount of space something takes up Formulas: Regular solid: (flat sides) L x W x H Measured using ruler, meter stick, etc. units in length ie. m3, cm3, mm3 Irregular solid (a rock): WATER DISPLACEMENT (method on p. 61) Measured using a graduated cylinder units in volume ie. L, mL Density- how much mass is in a given volume D = m/v (mass/ volume) units kg/m3 or g/mL or g/cm3 Density can be used to determine if an object will sink or float. Density of water is 1.0 g/cm3 if the object is more than 1.0 g/cm3 it will sink if the object is less than 1.0 g/cm3 it will float Density Triangle Use if given two of three variables Video
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Mathematics and Scientific Thinking
Math Skills that Scientist Use when they analyze data: Estimation- approximation of a number based on reasonable assumption Accuracy vs. Precision Accuracy- how close the measurement is to the true value Precision- how close a group of measurements are to each other high quality tools yield results that are accurate and precise. Tools that analyze data Mean- average Median- middle number Mode-number that appears most often Range- difference between greatest and least value What if you cannot observe the subject you are studying directly? Model- any representation of an object or process Usually of things that are very small or very large Often used to represent systems- group of parts that work together to carry out a function
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Graphs and percent error
Do now- How do scientists use graphs in science? Why are graphs useful? Identify trends Make predictions Recognize anomalous data Anomalous data- a data point that does not fit with the set, caused by human or equipment error or if neither of those Is an outlier on the graph
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Time to practice Create a graph for the data below:
Average daily temperatures for January 1st-7th What kind of graph would you create? Line graph Used to show a change over time Shows how dependent variable changes in response to independent variable Linear-straight line Nonlinear-not straight line Outlier-data point not part of trend, anomalous data ***If a graph does not have a clear trend, it usually means the variables are not related Date Temperature 0F 1 10 2 25 3 30 4 42 5 23 6 7 40
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Time to practice Create a graph for the data below:
Favorite After school activities What kind of a graph would you create? Bar Graph Comparison of things, one time event, good for surveys Activity Number of students Hang out with friends 175 Talk on phone 168 Play sports 120 Earn money at part time job Play video games 65
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Time to practice Create a graph for the data below:
Composition of Earth’s crust What type of graph would you create? Pie Chart Good when determining how many parts, a percentage Element Percentage Oxygen 49.5 Calcium 3.4 Iron 4.7 Aluminum 7.5 Silicon 25.7 Other 9.2
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Time to practice Create a graph for the data below:
Test score variation due to hours slept Scatter plot Use to determine of there is a correlation between two variables
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Computer Graphing Programs
When ever possible your graph should be done using the computer Here is a great site: Microsoft excel also has a graphing function that you can use When creating graphs you must include A title Labels on all axis (and units) A key (when needed) Multiple lines should be differentiated—symbols for points, colored lines
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Percent Error (in a nutshell)
Accuracy- how close you are to the accepted value Precision- how close a group of measurements are to each other Percent Error- how close or far you were from the actual accepted value Low percentage = accurate results Percent Error = your value - true value (given) X true value Lets try an example, calculate the answer to the question on page 72 Lets do one more…. A student calculated the density of tin to be 7.20 g/mL.The actual density of tin is 7.29 g/mL. What is the percent error? Is this accurate? Answer = 1.23% Yes, this is accurate
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