Fitting a Model to Data Teacher Resources

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High schoolers analyze the vertex form of a parabola and find an approximate fit of a model. They explain the quadratic parabola function and its properties by developing quadratic models. They use translation and dilation to change the general parabola.
Using a data collection device to collect data regarding a bouncing ball, students use various features on graphing calculators to experiment with the parameters of the vertex form of the parabola and their effect on the shape of the curve. They use this concept to find a quadratic model. They also use translation and dilation to change the general parabola.
Young scholars create graphs using collected data. In this algebra lesson, students use spreadsheet in Excel to create graphs to interpret their data and make predictions. They rewrite word problems using algebraic expressions.
Sal trades his tablet for an Excel spreadsheet in this video, which covers fitting data to a line. Using a word problem about median income, he not only solves the problem but demonstrates how to successfully use scatter plots and Excel tools in math problems.
Build up from the previous activity where your learners charted the population growth and decay of a fish pond with M&Ms®. Have them look at the data from that activity and create a Now-Next, or recursive equations, to predict the next year of change. Great to use as an individual assignment or homework from the prior activity. 
This activity takes you from the basics of equations of lines (slope and intercepts) to scatter plots and lines of best fit. Interpret the slope using the context of the problem and use the regression line to extrapolate values. Included in the detailed lesson plans are a warm-up activity and a link for pre-lesson review on slopes of lines. Unfortunately, the link to the end of lesson PowerPoint evaluation does not work.
A short activity that focuses on the normal distribution as a model for data distribution. Using given means and standard deviations, your budding statisticians can use statistical tables, calculators, or other statistical software to approximate population percentages. Decide what percentage of the population will fit in this car.
Your class will use a set scale to convert diameters of planets to the model size, the diagram given to expand on the number of planets drawn as concentric circles, and examine the scale that would be needed to fit the larger planets on a page.  The out-of-this-world activity is can be used to examine the planets, math scales, and ratios. You could expand on this with astronomy topics, but the worksheet also goes on to practice more scales used in the area of blueprints and architecture
High schoolers engage in a lesson that is about the concept of data analysis with the use of quadratics. They use a Precalculus text in order to give guidance for independent practice and to serve as a source for the teacher to use. The data is used in order to solve problems in a real life context.
After learning about DNA, young biologists build models of bacteria and plasmids, then simulate the transformation of bacterial DNA. Once the transformation is complete, teams work together to answer some analysis questions and think about how the concept could be applicable in the real world. 
Eighth graders graph a scatter plot and analyze it. In this math lesson, 8th graders plot their data using coordinate pairs, creating scatter plots. They draw the line of best fit and must come up with an equation for that line. They use the Ti to graph their results.
Learn how to explore the concept of linear functions.  In this linear functions lesson, students collect linear data from a motion detector.  Students walk to create a linear function.  Students plot the points on a graph and determine a linear function to represent the data.
Scatter plot lessons can help students create different types of graphs by hand or with the aid of technology.
Learners use the CPI-U index to determine how inflation changes have affected consumerism, labor, and the urban landscape. Young economists take a critical look at some hard-hitting data to explore the similarities in inflation rates related to the CPI from the past few years.
Aspiring astronauts graph, interpret, and analyze data. They investigate the relationship between two variables in a problem situation. Using both graphic and symbolic representations they will grasp the concept of line of best fit to describe the relationship between two variables. They also apply measures of central tendency in a problem situation. This math lesson plan provides student handouts, calculator exercises, and answer keys. 
Middle and high schoolers explore the concept of linear modelling.  In this linear modelling lesson, pupils find the line of best fit for life expectancy data of Canadians. They compare life expectancies of men and women, and find the point of intersection when males and females have the same life expectancy.
High schoolers bounce a ball from different heights and measure the height of the bounce. In this linear relations instructional activity, students collect data by bouncing a ball from various heights. High schoolers collect data on the height of the bounces and graph the information. They draw the line of best fit. Students use the graph to predict the height of a bounce.
Learners interpret data from a three-dimensional array of current monitors to determine an overall pattern of water circulation. They hypothesize what effect an observed water circulation pattern might have on seamount fauna. A very interesting and high-level science lesson!
Taking students through problems 17-19 in this practice CAHSEE, the speaker illustrates how to solve problems involving reading data from tables, probability, and scatterplots. The speaker models careful question-reading and the necessary thinking process to find the correct answer. Students who have a hard time reading questions carefully would benefit from this video.
Students utilize a spreadsheet to explore a mathematical model and to formulate answers to 'what if..?' questions. They assess how changes in a spreadsheet affects the results and identity of simple rules within math and statistics.

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Fitting a Model to Data