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New NCERT textbook · Class 6 Maths

Ganita Prakash, period by period — fitted to your timetable.

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Chapter 4 · Period 1 of 14 · 40 min

What Is Data and Why Does It Matter?

Collecting and Organising Data · Inductive

The distinction between facts one already knows and facts one must collect is the conceptual anchor of this unit; watch for students who believe any answered question counts as 'data'. Figure it Out Q2 on p.75 works best after students have tried Q1, because experiencing the difficulty of the raw list makes the answer to 'what is the most popular game' genuinely hard to find.

0–8Open discussion: the teacher writes several everyday questions on the board — 'Which sport do most students in our class like?' and 'What is the capital of India?' — and asks students which questions need collecting new information and which can be answered from memory. This surfaces the intuitive idea of data as collected facts.
8–18Students work on Figure it Out Q1, section 4.1 p.75 ("What would you do to find the most popular game among Naresh's and Navya's classmates?...") and Figure it Out Q2, section 4.1 p.75 ("What is the most popular game in their class?...") using the raw list in the textbook. Pairs discuss what makes the raw list hard to read and how they found the answer.
18–30Class discussion of Figure it Out Q4, section 4.1 p.75 ("Pari wants to respond to four questions. Put a tick for questions requiring data collection..."). Students justify each tick or cross aloud, reinforcing the distinction between look-up facts and collected data.
30–40Teacher consolidates by naming the key vocabulary — data, raw data, frequency — and asking students to state in their own words what data is and give one example from daily life. A brief oral round closes the discussion.
Assessment

Figure it Out Q1, section 4.1 p.75 — What would you do to find the most popular game among Naresh's and Navya's classmates? (Open-ended process question on data organisation.)

Which of the following best describes what 'data' means in mathematics?

  • A A chart drawn to show how numbers compare
  • B A collection of facts, numbers, observations, or descriptions that convey information
  • C A single number used in a calculation
  • D The largest value in a list of numbers

B. A collection of facts, numbers, observations, or descriptions that convey information

What each wrong option reveals

  • A The student confuses data (the raw information) with a graph (a representation of that information).
  • C The student conflates data with an individual numeric value, missing that data is always a collection.
  • D The student associates data with a derived summary statistic rather than with the underlying collection itself.
Chapter 4 · 14 periods of 40 min

Also saved as 8 periods or 11 periods.

  • 2Tally Marks, Frequency Tables, and Ordered Data
    Collecting and Organising Data
  • 3Data in the Wild: Trees, Newspapers, and Real Counts
    Collecting and Organising Data
  • 4Reading Pictographs: Symbols, Scales, and Half-Symbols
    Pictographs
  • 5Constructing Pictographs: Choosing a Scale That Works
    Pictographs
  • 6From Symbols to Bars: The Structure of a Bar Graph
    Bar Graphs
  • 7Reading Bar Graphs: Traffic, Population, and Reasoning from Data
    Bar Graphs
  • 8Step by Step: Drawing a Bar Graph from a Frequency Table
    Drawing a Bar Graph
  • 9Scale Selection and Partially Drawn Graphs
    Drawing a Bar Graph
  • 10Dice, Frequency Tables, and Drawing Your Own Bar Graph
    Drawing a Bar Graph
  • 11Pictographs Revisited and Extended Practice
    Drawing a Bar Graph
  • 12Bar Graphs from Survey Data and Error Detection
    Drawing a Bar Graph
  • 13When Design Helps and When It Misleads
    Artistic and Aesthetic Considerations
  • 14Four Problems, One Chapter
    Synthesis

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