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Drawing Bar and Picture Graphs

A 45-minute Grade 2 lesson on building a graph from data with up to four categories, then answering put-together, take-apart and compare questions from it.

Drawing Bar and Picture Graphs is a free 45-minute Grade 2 math lesson plan for Common Core standard 2.MD.D.10 — make and read picture graphs and bar graphs. It is timed across 5 sections, gives the exact wording to use where the wording carries the mathematics, names 3 misconceptions with the teaching move that addresses each, and ends with an exit ticket and a printable worksheet with its answer key.

Grade:
Grade 2
Length:
45 minutes
Standard:
2.MD.D.10

Grade 2 · Measurement & Data

2.MD.D.10

Draw a picture graph and a bar graph (with single-unit scale) to represent a data set with up to four categories.

Objective

Students will be able to draw a bar graph and a picture graph from a data set of up to four categories and answer comparison questions from it.

Students are successful when they can

  • Draws bars from a common baseline with a consistent scale.
  • Labels both axes and gives the graph a title.
  • Answers a 'how many more' question by comparing two bars.

What you need

  • Grid paper
  • A data set collected from the class
  • Rulers
  • The printable practice sheet linked at the end of this plan

The lesson

Warm-up — read before you draw

5 min
  1. Show a finished bar graph and ask four quick questions: most, fewest, how many more, how many altogether.
  2. Knowing what a graph will be asked is what makes drawing it purposeful.

Teach — build it so it can be read

13 min
  1. Take the class data set. Draw the axes and the baseline first.
  2. Draw one bar, counting squares from the baseline. Draw the second deliberately starting a square higher, and ask what has gone wrong.
  3. Fix it and state the rule: every bar starts from the same line or the comparison is a lie.
  4. Label the axes and title the graph. Ask what the graph would mean without the labels — nothing.
  5. Redraw the same data as a picture graph, one symbol for each item, with the symbols lined up in columns on the same squares as the bars.
  6. Ask the same four questions of both graphs. Same answers, different pictures.
“The graph is a tool for answering questions. If it does not have a baseline, a scale and labels, it cannot answer anything.”

Guided practice — draw and interrogate

12 min
  1. Pairs draw a bar graph for a given four-category data set.
  2. They swap graphs and write three questions for the other pair to answer.
  3. One question must be a comparison. Writing the question is harder than answering it and shows more.

Independent practice

12 min
  1. Students complete a graphs page.
  2. Check that bars are drawn to the right heights and that comparison questions were not answered by reading a single bar.

Close

3 min
  1. Show a picture graph with one symbol for each item and ask how many more one row needs to match the longest.
  2. Every graph in Grade 2 counts in ones; Grade 3 is where one symbol starts to stand for more than one.

What goes wrong, and why

Each of these is a reasoning error rather than carelessness. The fix addresses the reasoning.

Answers 'how many more chose blue than red' with the height of the blue bar.

Why: The question has been read as a lookup because that is what most graph questions have been so far, and 'more' points at the bigger bar.

Fix: Physically cover the part of the taller bar that matches the shorter one. What remains is the answer, and it is visibly not the whole bar.

Draws bars of different widths or with gaps of different sizes.

Why: The bars are being drawn as pictures rather than as measurements, so only the height has been treated as meaningful.

Fix: Draw on grid paper with one square per unit and one column per category. The grid enforces the consistency.

Says a row of a few large pictures shows more than a row of many small ones.

Why: A picture graph is being read by the length of its rows, as a bar graph is, but the pictures were drawn at different sizes and spacing, so length and count disagree.

Fix: Draw on grid paper with one picture per square. Once every picture takes the same space, the longest row is the biggest count.

If they are not there yet

  • Work with three categories and small counts, and provide axes already drawn and labeled.
  • Build the bars from stuck-on squares before drawing them.

If they finish early

  • Draw a picture graph where one symbol stands for five, including a half symbol.
  • Write a question that the graph cannot answer, and say why.
  • Compare two graphs of the same data drawn with different scales.

Exit ticket

From this graph — cats 9, dogs 6, fish 4 — how many more cats than fish? How many pets altogether?

What to look for: 5 and 19. An answer of 9 to the first is the lookup error. A total that misses a category means the question was read as being about two bars only.

Printable practice for 2.MD.D.10

Free to print and copy, answer key included. Each sheet can generate a fresh set of problems for a retake.

Questions about Drawing Bar and Picture Graphs

How long does the Drawing Bar and Picture Graphs lesson take?

45 minutes, split across 5 timed sections: warm-up 5 min, teach 13 min, guided practice 12 min, independent practice 12 min, close 3 min. The minutes are stated per section and add up to the stated length, so the plan can be cut or extended at a section boundary rather than abandoned halfway.

Which standard does Drawing Bar and Picture Graphs teach?

CCSS.MATH.CONTENT.2.MD.D.10 — 2.MD.D.10, Measurement & Data for Grade 2: “Draw a picture graph and a bar graph (with single-unit scale) to represent a data set with up to four categories.” In plain terms, make and read picture graphs and bar graphs.

What do I need to teach this lesson?

Grid paper, a data set collected from the class, rulers and the printable practice sheet linked at the end of this plan. Everything listed is either ordinary classroom equipment or a free printable from this site — there is nothing to buy and nothing to prepare beyond photocopying.

What mistakes should I expect in this lesson?

Three, each a reasoning error rather than carelessness: answers 'how many more chose blue than red' with the height of the blue bar; draws bars of different widths or with gaps of different sizes and says a row of a few large pictures shows more than a row of many small ones. The plan gives the thinking behind each one and the teaching move that addresses the thinking rather than the symptom.

How do I know whether the lesson worked?

The exit ticket asks: “From this graph — cats 9, dogs 6, fish 4 — how many more cats than fish? How many pets altogether?.” 5 and 19. An answer of 9 to the first is the lookup error. A total that misses a category means the question was read as being about two bars only. That tells you whether the class needs a reteach or a thirty-second conversation before you plan tomorrow.

Is there a worksheet to go with Drawing Bar and Picture Graphs?

Yes — 2 printable 2.MD.D.10 worksheets, linked at the end of the plan and free like the rest of the site. Each one comes with an answer key and 25 versions, so the practice after the lesson can be a different paper on every desk.

Is Drawing Bar and Picture Graphs free to use?

Yes. The plan, its printables and their answer keys are free to read, print and photocopy for your own class, with no account and no email capture. It was last reviewed on September 5, 2026. Please do not resell it or republish it as your own.

Last reviewed 2026-09-05. Aligned to 2.MD.D.10 of the Common Core State Standards for Mathematics.