Collecting Data

Curriculum Area and Level

• Subject: Mathematics
• Grade Level: 11th Grade
• Standards: Common Core State Standards (CCSS.Math.Content.HSS.ID.A.1)

Overview

This lesson focuses on collecting and analyzing discrete and continuous data. Students will participate in a household census activity and measure arm spans to differentiate between discrete and continuous data. This hands-on lesson aims to deepen students' understanding of data types, improve their measurement skills, and enhance their ability to read and interpret data using tape measures.

Objectives

• Differentiate between discrete and continuous data.
• Collect discrete data by counting individuals in households.
• Collect continuous data by measuring arm spans.
• Read measurements accurately using a tape measure.
• Interpret and analyze collected data.

Materials

• Tape measures
• Data collection sheets
• Whiteboard and markers
• Graph paper

5E Lesson Plan

1. Engage (7 minutes)

Activity: Icebreaker – Guess the Number

• Objective: Capture students' interest and introduce the concept of data collection.
• Procedure:
  • Ask students to guess the number of people living in random households (without asking their classmates).
  • Write guesses on the board.
  • Discuss the difference between guessing data and collecting actual data.

2. Explore (12 minutes)

Activity: Household Census

• Objective: Collect discrete data by counting the number of persons in each student’s household.
• Procedure:
  • Hand out data collection sheets.
  • Each student will ask their classmates how many people live in their household, including themselves.
  • Ensure students understand that household size is discrete data (whole numbers).

3. Explain (10 minutes)

Activity: Types of Data

• Objective: Understand and differentiate between discrete and continuous data.
• Procedure:
  • Define discrete data (counts, whole numbers) and continuous data (measurements that can take any value within a range).
  • Give examples of each type (age, money, temperature for continuous; number of people, number of cars for discrete).
  • Discuss why household size is discrete and arm span is continuous.

4. Elaborate (20 minutes)

Activity: Measuring Arm Span

• Objective: Collect continuous data and practice accurate measurements.
• Procedure:
  • Explain how to measure the arm span using a tape measure (students should stand with arms stretched out, measuring from fingertip to fingertip).
  • Pair students and have them measure each other’s arm spans.
  • Each student records their partner’s arm span in centimeters.
  • Discuss how to read the tape measure accurately (focus on reading cm lengths and ensuring precision).

Activity: Data Analysis

• Objective: Analyze the data collected and create visual representations.
• Procedure:
  • Students will create a simple bar graph or histogram with their household data (discrete).
  • Create a scatter plot for arm span data (continuous).
  • Discuss any patterns or trends observed.
  • Highlight differences in interpretation between discrete and continuous data.

5. Evaluate (6 minutes)

Activity: Exit Ticket

• Objective: Assess students' understanding of data types and measurement.

• Procedure:

  • Hand out exit tickets with the following questions:
    • What is the difference between discrete and continuous data?
    • Give an example of each type of data.
    • Describe the process of measuring an arm span.
    • How do you read cm lengths from a tape measure?

• Collect and quickly review exit tickets to gauge student comprehension.

Closure

Summarize the key points:

• Understanding discrete and continuous data.
• The practical activity of measuring and data collection.
• Accurate reading and recording of measurements.

Encourage students to think about other contexts where they might encounter and need to differentiate between types of data.

Reflection

• Consider student engagement and participation.
• Evaluate the level of understanding based on exit tickets.
• Plan for any necessary reteaching or reinforcement of concepts in future lessons.

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This lesson plan integrates hands-on activities with theoretical learning to help students grasp essential concepts in data collection and measurement, aligning effectively with US education standards and engaging students in meaningful ways.