Construct and use back to back stem and leaf diagrams
Construct and use back to back stem and leaf diagrams
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Slide 1: Slide
MathsUpper Secondary (Key Stage 4)Lower Secondary (Key Stage 3)GCSE
This lesson contains 12 slides, with text slides.
Items in this lesson
Construct and use back to back stem and leaf diagrams
Slide 1 - Slide
Today’s Learning Goals
Title: Constructing and Using Back-to-Back Stem-and-Leaf Diagrams
Learning Goals:
“Understand how to construct a back-to-back stem-and-leaf diagram.”
“Use the diagram to effectively compare two data sets.”
Slide 2 - Slide
Get Started
Purpose: Engage students with a warm-up or review activity.
Slide Heading: “Get Started” or “Kick-Off Activity”
Example: Display a quick review question on data representation
Slide 3 - Slide
Key Concepts
Purpose: Introduce new vocabulary and core concepts for the lesson.
Slide Heading: “Key Concepts” or “What You Need to Know”
Example: Define terms like “stem,” “leaf,” and “back-to-back comparison.”
Slide 4 - Slide
To Know
Key Concepts:
Stem: The common “backbone” of the diagram, where the middle digits are placed.
Leaf: The individual values for each data set, listed on opposite sides of the stem.
Visual Example: Show a sample back-to-back stem-and-leaf diagram to illustrate the format.
Slide 5 - Slide
Teacher Demonstration (I Do)
Modeling:
Demonstrate the construction of a back-to-back stem-and-leaf diagram step-by-step.
Explain each step: identifying the stem, placing leaves in ascending order, and organizing each data set on separate sides of the stem.
Example: Use a data set (e.g., ages) to build the diagram in real-time.
Slide 6 - Slide
Checking for Understanding (CFU)
Quick Check:
Show a partially completed back-to-back stem-and-leaf diagram with intentional errors.
Ask students to identify and correct the mistakes (e.g., leaves out of order, incorrect stems).
Method: Use mini whiteboards or quick questions to assess if students understand the construction process.
Slide 7 - Slide
Guided Practice (We Do)
Activity: Lead the class in constructing a back-to-back stem-and-leaf diagram with new data.
Prompt: “Arrange each data set on either side of the stem and ensure leaves are in ascending order.”
Discussion: “What patterns do you notice? How does this representation help with comparing the two groups?”
Slide 8 - Slide
Independent Practice (You Do)
Task: Students create their own back-to-back stem-and-leaf diagram with two new data sets (e.g., scores from two teams).
Instructions: “Arrange the leaves in ascending order for each side. Label each data set clearly.”
Monitoring: Walk around to provide feedback and support as needed.
Slide 9 - Slide
Exit Ticket
Questions:
“What does each side of a back-to-back stem-and-leaf diagram represent?”
“How do you make sure data is correctly ordered?”
“How can this type of diagram help in data comparison?”
Purpose: Assess understanding and confirm that students achieved the learning goals.
Slide 10 - Slide
Retrieval of Knowledge
Review: Summarize the steps in constructing a back-to-back stem-and-leaf diagram.
Questions: “Why is the order of leaves important? What does the stem represent?”
Activity: Have students explain how they would use this type of diagram in a different context.
Slide 11 - Slide
Stamp It
Key Takeaway:
“Back-to-back stem-and-leaf diagrams make it easy to compare two data sets by aligning them around a shared stem.”
Wrap-Up Activity: Ask students to write one sentence summarizing how this diagram helps in data comparison.
