Grade 5 · Math
  1. Number
  2. Data
  3. Algebra
  4. Spatial
  5. Financial

Unit 2 of 5 · Grade 5 Math

Data

What do the numbers really say?

Ask questions. Count answers. Make graphs. Then check: can you trust the picture?

5 topics · 110 concepts · 12 to play

Topics

In order. Each topic shows its concepts first, then the lesson, a test and its games. Your place is saved if you leave.

  1. Same Data, Three StoriesSame numbers, three very different graphsNext for you

    Concepts · 22 idea cards

    1. A graph needs a title and labels
    2. A source says where the data came from
    3. A scale counts in equal steps
    4. Pick a scale that fits the data
    5. A pictograph's key counts for many
    6. A bar graph compares groups
    7. A double-bar graph compares two groups
    8. A stacked bar shows parts of a whole
    9. Read one part of a stacked bar
    10. A line graph shows change over time
    11. Match the graph to the question
    12. Same data, two graphs, two answers
    13. Same numbers, different pictures
    14. Bars need a scale that starts at 0
    15. Watch for uneven steps on a scale
    16. Bigger pictures can fool the eye
    17. 3-D bars are hard to read
    18. Fix a misleading graph
    19. Ask questions at three levels
    20. A conclusion the data supports
    21. Test an idea with data
    22. Make a decision with data
    Start the lesson About this topicPlayGraph Detective
  2. Spinner LabGuess first. Then spin 1000 times and see what happens

    Concepts · 22 idea cards

    1. Outcomes and events
    2. Equal sections are equally likely
    3. Probability as a fraction
    4. Every section goes on the bottom
    5. Split unequal sections into equal parts
    6. Impossible is 0, certain is 1
    7. Unlikely, even chance, likely
    8. Put a probability on the line
    9. Happening and not happening make 1
    10. Which spinner gives the better chance?
    11. Same chance, different spinners
    12. Predict how many times
    13. Tally the spins
    14. What should happen and what did happen
    15. Small experiments wander
    16. More trials settle closer
    17. The spinner has no memory
    18. Streaks happen by chance
    19. A big gap after many trials
    20. Is the game fair?
    21. Make an unfair game fair
    22. Use probability to decide
    Open the lab Test yourselfAbout this topic
  3. What's Typical?One group of numbers. Three honest answers

    Concepts · 22 idea cards

    1. One number for a whole group
    2. The mode: the value that appears most
    3. No mode, or two modes
    4. The mode works for words
    5. The median: the middle value in order
    6. An even count has a middle pair
    7. Finding the number halfway
    8. Put decimals in order by place value
    9. A decimal median can land on hundredths
    10. The mean: level the stacks
    11. Add, then divide by how many
    12. A zero still counts
    13. The mean can be a number not in the data
    14. Above and below the mean balance
    15. The mean of decimal data
    16. A value far from the rest
    17. An outlier pulls the mean
    18. Mode, median and mean on a line plot
    19. Use the mode for the most popular
    20. Use the median when a value is far off
    21. Use the mean for a fair share
    22. What each measure tells you
    Start the lesson Test yourselfAbout this topicPlayTypical or Tricky?
  4. Who did we ask?Same school, same question, two very different answers

    Concepts · 22 idea cards

    1. The question decides the data
    2. Data in words or in numbers
    3. Collect it yourself, or look it up
    4. Survey, observe or experiment
    5. A survey question that does not push
    6. The population and the sample
    7. Ask everyone, or ask some?
    8. Whoever is nearby is not everyone
    9. More people won't fix it
    10. A sample with the school's mix
    11. Names in a hat
    12. Split into groups first
    13. Every 4th name on the list
    14. Ask everyone the same way
    15. Two fair samples can differ a little
    16. Tally, then count
    17. How many out of how many
    18. As a fraction, a decimal or a percent
    19. The parts make 100%
    20. Out of the number asked
    21. Compare shares, not counts
    22. A sample predicts the group
    Start the lesson Test yourselfAbout this topicPlaySample WiselyPlaySample Sleuth
  5. Tell the StoryBuild an infographic — then check whether it says what the data says

    Concepts · 22 idea cards

    1. An infographic tells one story
    2. Decide the one message first
    3. Made for a reader
    4. Count out of the whole group
    5. Shares as decimals
    6. The shares make one whole
    7. Compare shares, not counts
    8. Parts stacked in one bar
    9. Read a middle piece
    10. Stretch each bar to one whole
    11. Pick the display for the question
    12. One big number
    13. Pictures sized honestly
    14. Icons with a key
    15. Put the parts in reading order
    16. Titles, labels and a source
    17. Leave out what does not help
    18. “Most” means more than half
    19. Check where the scale starts
    20. The story fits who was asked
    21. Revise the draft
    22. Build an infographic from data
    Start the lesson Test yourselfAbout this topicPlayTruth or Spin?

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