Interpolation is estimating data points that fall within the range of the data you have (i.e., between your existing data points) use grid lines (marked in red) that guide your eye from the axis to the trend line, to estimate the answer Extrapolation is estimating data points beyond the range of your data set you will have to extend your line of best fit beyond the given range of data to extrapolate. Extrapolating Data Caution predictions made from extrapolating may not be accurate or realistic since they are beyond the given data What do you notice about your prediction for Julie's height at birth? This prediction was made by extrapolating data. answers will vary. feedback is provided Consolidate the difference between interpolation and extrapolation and add to the Word Wall Task 4: Line of Best Fit - Gizmo Students will: use this Gizmo to place a line of best fit for a random data set with either negative or positive correlation vary the type of correlation explore how correlation is reflected in the scatter plot and the trend line; check their line of best fit with the actual trend line This Gizmo uses y = mx + b notation, which is NOT an expectation for Grade 9 Applied Mathematics To use the ministry- licensed Gizmos teachers will need to set up a Class Code to create an account and give students a password. The teacher can do a class demonstration with an interactive whiteboard of the Gizmo Activity, or allow students to take turns using the Gizmo, and discuss the placement of trend lines The Gizmo activity may also be used for students who require additional review Journal Prompt and Sample Responses Add new information about the line of best fit in your journal. I noticed for strong positive or negative trends, the points are either on or very close to the line of best fit (trend line). When there is no trend, there is no possibility of a line of best fit (trend line). The points are scattered. Consolidation Task 5: and Curves of Best Fit Practice Exercise Students will:
Interpolation is estimating data points that fall within the range of the data you have (i.e., between your existing data points) use grid lines (marked in red) that guide your eye from the axis to the trend line, to estimate the answer Extrapolation is estimating data points beyond the range of your data set you will have to extend your line of best fit beyond the given range of data to extrapolate. Extrapolating Data Caution predictions made from extrapolating may not be accurate or realistic since they are beyond the given data What do you notice about your prediction for Julie's height at birth? This prediction was made by extrapolating data. answers will vary. feedback is provided Consolidate the difference between interpolation and extrapolation and add to the Word Wall Task 4: Line of Best Fit - Gizmo Students will: use this Gizmo to place a line of best fit for a random data set with either negative or positive correlation vary the type of correlation explore how correlation is reflected in the scatter plot and the trend line; check their line of best fit with the actual trend line This Gizmo uses y = mx + b notation, which is NOT an expectation for Grade 9 Applied Mathematics To use the ministry- licensed Gizmos teachers will need to set up a Class Code to create an account and give students a password. The teacher can do a class demonstration with an interactive whiteboard of the Gizmo Activity, or allow students to take turns using the Gizmo, and discuss the placement of trend lines The Gizmo activity may also be used for students who require additional review Journal Prompt and Sample Responses Add new information about the line of best fit in your journal. I noticed for strong positive or negative trends, the points are either on or very close to the line of best fit (trend line). When there is no trend, there is no possibility of a line of best fit (trend line). The points are scattered. Consolidation Task 5: and Curves of Best Fit Practice Exercise Students will:
U3A3_LineofBestFit_AODA.docx