Florida B.E.S.T. MA.912.GR.3.1
The Standard
Determine the weighted average of two or more points on a line.
Florida B.E.S.T. Standards for Mathematics
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students multiply each point's coordinate by its assigned weight, add the products, and divide by the total weight. They interpret how larger weights pull the result closer to particular points.
What Mastery Looks Like
- Given two or more points and weights, a student computes the correct coordinate and places it on the line. The student checks that positive weights produce a location within the given range and explains which point has more influence.
Common Misconceptions
- Students may average the coordinates without using the given weights. They may match weights to the wrong points or forget to divide by the total weight. Some assume the result must be the midpoint.
How to Assess It
- Give this exit ticket: Points A = -2 and B = 8 have weights 1 and 3, respectively. Find the weighted location, show your setup, and explain why it is closer to B.
Lesson moves
Ways to Teach It
Tape a number line to the floor, assign weight cards to marked points, and have students calculate and stand at the weighted location.
Ask students to explain why doubling every weight leaves the weighted location unchanged, using numbers or a diagram.
Give pairs point-and-weight cards, then award a point for each correct location and a second point for a valid estimate.
Map towns along one highway and use their populations as weights to choose a location for a shared clinic.
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Printable MA.912.GR.3.1 Worksheet
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Related Standards
- MA.912.NSO.3.9
Given the magnitude and direction of two or more vectors, determine the magnitude and direction of their sum.
- MA.912.NSO.2.3
Calculate the distance and midpoint between two numbers on the complex coordinate plane.
- MA.912.F.1.3
Calculate and interpret the average rate of change of a real-world situation represented graphically, algebraically or in a table over a specified interval.
- MA.912.FL.1.3
Solve real-world problems involving weighted averages using spreadsheets and other technology.
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