Slopes and Cents- HSS.1D.B5

soton HS Algebra, HS Modeling, Technology Teaching Issues

What is the relationship between weight and quantity?

Taking into consideration that the slope of a line describes its steepness. We can also say that the slope can represent a number of other important mathematical concepts, such as the relationship between the weight of an object and its quantitypennies. This relationship can be modeled graphically by plotting the measure of the different amount of pennies versus its weight. In this activity, in small groups, we will use a Force Sensor to collect a linear set of data points. We will measure the weight of 8, 16, 24, and 32 pennies. Using this information, we will analyze the data and interpret the meaning of the slope as it relates to the independent and dependent variables. Using a model, we will be able to predict future measurements and interpret past results. tool

In the Slope and Cents activity, students will work in small groups to collect the data and collaborate to interpret the slope of the line they come up with using their data points. The objective of this activity is for students to collect weight versus number data for a collection of identical pennies. Model the weight versus data using linear equations. And lastly, interpret the slope and intercept values from the linear model.  experiment

Materials to complete this activity:

  • Dual-Range Force Sensor
  • Interface
  • LabQuest
  • Pennies or any coin you choose to work with.

This activity aligns with:

  • CCSS.MATH.CONTENT.HSS.ID.B.5
    Summarize categorical data for two categories in two-way frequency tables. Interpret relative frequencies in the context of the data (including joint, marginal, and conditional relative frequencies). Recognize possible associations and trends in the data.
  • CCSS.MATH.CONTENT.HSS.ID.B.6
    Represent data on two quantitative variables on a scatter plot, and describe how the variables are related.
  • CCSS.MATH.CONTENT.HSS.ID.B.6.A
    Fit a function to the data; use functions fitted to data to solve problems in the context of the data. Use given functions or choose a function suggested by the context. Emphasize linear, quadratic, and exponential models.
  • CCSS.MATH.PRACTICE.MP1: Making sense of problems and persevere in solving them.
A benefit of using technology when teaching this concept is that you make the concept hands on relatable by incorporating coins. Using an object that students are exposed to on a daily basis allows the students to bring the object from the real world into the classroom. And most importantly using activities like this allows students to move around and get involved rather than sit and read information out of a textbook. Students get to collect their own data rather than take a list provided for them. By doing this, you engage a wider range of your students.
Slopes and Cents activity: slopes-and-cents
Link to website of equipment and activities: #standards

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