Fitting a Model to Data Teacher Resources
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Students describe graphically, algebraically and verbally real-world phenomena as functions; identify the independent and the dependent variable. They translate among graphic, algebraic, and verbal representations of relations and graph relations and functions and find the zeros of functions. Finally, students write and interpret an equation of a curve (linear) which models a set of data.
Students explore the concept of linear regression. In this linear regression line lesson, students make a scatter plot using world population data over the course of 30 years. Students find the line of regression to fit the data. Students find the derivative of the data.
High schoolers investigate linear data. In this linear data lesson, students collect data about their weight. High schoolers weigh themselves on a board at various distances from the scale. Students find a linear model to fit their data. High schoolers use their model to predict the weight on the scale of a person standing a given distance away from the scale.
Learners model and record subtraction using the "take away" method with numbers 0 to 10 as addends. They also find missing addends. Students will interpret the y-intercept in the context of "real-world" data.
Students explore the concept of scatterplots. In this scatterplots lesson, students enter temperature and humidity data into their calculator. Students plot the points using a scatterplot. Students discuss the relationship between temperature and humidity.
Playing with matches (unlit, of course) becomes an engaging learning experience in this fun instructional unit. Teach pupils how to apply properties of exponential functions to solve problems. They differentiate between quadratic and exponential functions in a series of hands-on lessons that include worksheets, assessments, and answer keys.
Ninth graders explore regression equations. In this Algebra I lesson, 9th graders create lists of data points and determine the regression equation of the line that best fits the data points. In this second part to the lesson, students investigate the mathematics behind how the linear regression is determined.
Eleventh graders explore quadratic equations. In this Algebra II lesson, 11th graders examine the motion of a bouncing ball. Students collect, graph, and model data. Both the standard and vertex form of the quadratic equation are considered.
Students find a quadratic model to fit Olympic swim times. In this finding a quadratic model to fit Olympic swim times lesson, students enter data into lists. Students create a scatter plot of the Olympic swim data. Students find a quadratic model to fit the data by performing a quadratic regression.
Students explore several examples of cardiovascular diseases. In this anatomy lesson, students explain why physical fitness is very important. They count their pulse rate and record them on a data table.
Ninth graders explore slope. For this Algebra I lesson, 9th graders collect and analyze distance versus time data. Students investigate the relationship of rate of change and how it relates to slope.
Young scholars explore the concept of density. In this density lesson, students measure the density of pennies using water, pennies made before 1982 and after 1982. Young scholars collect data on their graphing calculator using a force probe. Students graph the data and determine the line of best fit.
Students collect data, analyze their data and draw conclusion. In this statistics instructional activity, students identify different patterns through graphing. They make predictions using these patterns and the line of best fit for the future. They approximate the line of best fit using two points.
Study various types of mathematical models in this math activity. Learners calculate the slope to determine the risk in a situation described. They respond to a number of questions and analyze their statistical data. Then, they determine and graph a curve that best fits each situation given. Additionally, they log on to two different sites and use the tool and data provided to find the elevation of a given point selected.
Students study practical data analysis within the constraints of the scientific method. In this data instructional activity students collect and enter data into a computer spreadsheet then create graphs.
Students investigate the centroid of a data set and its significance for the line fitted to the data. They investigate the relationship between a set of data points and a curve used to fit the data points.
Students study how to monitor their personal status of their body composition. They study how to monitor and adjust activity levels to meet personal fitness needs and demonstrate objectives 1 and 2 by using the software provided by Furtex.
Learners explore the properties of enzymes. In this chemical reaction lesson, students explore enzymes through a Web-quest and investigative study. Learners will collect and summarize data and create a class presentation. This lesson is hands on and includes multiple web links.
Students determine the true cost of owning a car. In this determining the true cost of owning a car lesson, students examine the true cost of owning a car. Students calculate the cost of buying a car, insurance, gas, etc. Students make a scatter plot of a given cars' mpg vs. speed. Students find a quadratic model to fit the data.
Students investigate the causes of heart disease and survey the staff to gather data on their health and family history. In this health instructional activity students create a PowerPoint presentation and brochure on the communities health.