← Mathematics / 5 Data Handling and Probability
5.1 Data Handling
Mathematics · Grade 7 · 10 lessons in the design
What this covers
- Meaning of data and collecting data from different situations
- Tally and frequency distribution tables
- Choosing a suitable scale for graphs
- Pictographs
- Bar graphs: drawing and interpreting
- Pie charts: drawing and interpreting
- Line graphs
- Travel graphs and use of data in real life
What you will be able to do
- state the meaning of data in a learning situation
- collect data from different situations
- draw a frequency distribution table of data from different sources
- determine a suitable scale for graphs of data from different situations
- draw pictographs of data from real-life situations
- draw bar graphs of data from different sources
- interpret bar graphs of data from real-life situations
- draw pie charts of data from real-life situations
- interpret pie charts of data from real-life situations
- draw a line graph of data from different situations
- interpret travel graphs from real-life situations
- promote the use of data in real-life situations
Key questions
“Why do we collect data?”
“How do we represent data?”
“How do we interpret data?”
Lessons
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What data is, and collecting it
40 min · 1 practice tasks · quizData are facts collected for a question; Grade 7 gathers counts from class, market, weather and travel with permission and honesty.
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Frequency distribution tables
40 min · 1 practice tasks · quizTally raw lists in gates of five and write a frequency table whose frequencies add to the total.
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A suitable scale for graphs
40 min · 1 practice tasks · quizChoose a scale from the largest frequency so that a bar or picture fits the page and still shows differences.
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Drawing pictographs
40 min · 1 practice tasks · quizDraw a pictograph with a title, equal symbols and a key such as one bowl equals two learners.
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Drawing bar graphs
40 min · 1 practice tasks · quizDraw a bar graph with title, labelled axes, a stated scale, equal bar widths and a zero baseline.
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Interpreting bar graphs
40 min · 1 practice tasks · quizRead most, least, difference and total from a bar graph, then make a fair canteen decision.
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Drawing pie charts
40 min · 1 practice tasks · quizTurn frequencies into angles with (frequency / total) x 360°, then draw sectors with a protractor.
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Interpreting pie charts
40 min · 1 practice tasks · quizRead a pie as fractions and comparisons of one whole, and choose when a pie is better than a bar.
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Drawing line graphs
40 min · 1 practice tasks · quizPlot time on the horizontal axis and a quantity on the vertical, then join the points to show change.
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Travel graphs and using data
40 min · 1 practice tasks · quizRead a distance-time graph (steep is faster, flat is a stop) and promote data for canteen, weather, travel and community decisions.