UNIT: MEASUREMENT

ACT-Based Math: Data Analysis and Measurement Variability
OBJECTIVE:

This activity helps students analyze measurement variability and understand its impact on data interpretation. By calculating mean, median, mode, and range, students improve their ability to assess data accuracy. They will also develop skills in interpreting and visualizing data using graphs and statistical tools.

Mathematical Thinking Challenge:

How can multiple measurements of the same object differ, even when using the same tool?

Why is it important to calculate the mean, median, and range when analyzing data?

How does measurement variability impact real-world applications, such as quality control in manufacturing?

Applied Math Scenario:

A group of students measures the length of a pencil using a ruler. Their measurements are 15.2 cm, 15.4 cm, and 15.1 cm. What is the mean length of the pencil?

15.1 cm

15.23 cm

15.3 cm

15.4 cm

Mechanics:

Students will measure the same object multiple times using a ruler and a tape measure.

They will record their results and calculate mean, median, mode, and range.

Discuss the significance of measurement variability and how to minimize errors.

Compare and interpret the data to understand measurement accuracy.

Things Needed to Prepare:

Measurement tools: Rulers, tape measures

Objects for measurement (e.g., pencils, books, classroom items)

Graph paper or digital tools to visualize data

Worksheet templates for data analysis