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Picture & Bar Graphs

REPRESENTATIONAL
MathematicsData & Statistics|Ages 7—8|ID: mt_VhBH8wrFC6

Draw a picture graph and a bar graph (with single-unit scale) to represent a data set with up to four categories; solve put-together, take-apart, and compare problems using information presented in a bar graph

Mastery Evidence

  • Draw a picture graph with a symbol representing one unit for each data point
  • Draw a bar graph with labelled axes and a single-unit scale
  • Use a bar graph to answer comparison questions (e.g. 'How many more votes did cats get than dogs?')

Assessment Prompt

“Can [child] draw a simple bar chart or picture graph to show information — like how many of each colour of sweet are in a bag — and answer questions from it?”

Curriculum Standards1 alignment

2.MD.10Common Core State Standards for Mathematics
Draw picture and bar graphs

Draw a picture graph and a bar graph (with single-unit scale) to represent a data set with up to four categories. Solve simple put-together, take-apart, and compare problems using information presented in a bar graph.

Measurement and Data

Prerequisites1

Show full prerequisite tree
  • Sorting Data into Categories hard

    Drawing picture/bar graphs extends organising and representing data

    • How Many in Total? soft

      Counting data in categories requires understanding cardinality

      • One-to-one counting hard

        Cardinality principle builds on one-to-one correspondence — you must count correctly to know the last number tells 'how many'

    • Pictograms and tally charts (age 6+) hard

      Organising and representing data requires data, tally, frequency, and category vocabulary

    • Sorting into categories hard

      Organising data in categories builds on classifying and counting objects in categories

      • Comparing groups: more or fewer soft

        Sorting categories by count benefits from ability to compare quantities

        • Counting objects to 20 soft

          Counting a set helps when comparing groups, but younger children (GB age 4) can compare using matching without formal counting to 20

          • How Many in Total? hard

            Answering 'how many?' requires the cardinality principle

            • One-to-one counting hard

              Cardinality principle builds on one-to-one correspondence — you must count correctly to know the last number tells 'how many'

          • One-to-one counting hard

            Counting objects to answer 'how many?' requires one-to-one correspondence

      • Counting objects to 20 hard

        Counting objects in each category requires being able to count sets of objects

        • How Many in Total? hard

          Answering 'how many?' requires the cardinality principle

          • One-to-one counting hard

            Cardinality principle builds on one-to-one correspondence — you must count correctly to know the last number tells 'how many'

        • One-to-one counting hard

          Counting objects to answer 'how many?' requires one-to-one correspondence