🔢 MathGrade 2Lesson 33
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Create Bar Graphs and Tally Charts

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Learning Objectives

  • 1Use tally marks to record data, grouping every fifth mark
  • 2Read a tally chart
  • 3State the total for each category
  • 4Read a bar graph to find which category has the most or fewest responses
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Mini Lesson

When we collect information about a group of things, we call it data. Two great ways to organize and show data are tally charts and bar graphs.

Tally marks

  • Each tally mark stands for 1 item.
  • After 4 marks, draw the 5th mark across the group — this makes a bundle of 5 that is easy to count quickly.
  • To find the total, count the bundles of 5 first, then add the extras.
  • Example: 4 marks crossed + 2 extras = 5 + 2 = 7.

Tally charts

  • A tally chart has a category column (what you are counting) and a tally column (the marks).
  • You can also add a total column to write the number.
  • Ask a survey question and add one tally mark for each answer you hear.

Bar graphs

  • A bar graph uses bars to show how many are in each category.
  • The taller the bar, the more items in that category.
  • Always check the title and the labels on the axes before reading.
  • Compare bars to answer questions like "Which is most?" or "How many more?"
How tally marks workA diagram showing tally marks: four strokes for 1 to 4, a diagonal 5th stroke across four verticals for 5, then one bundle of 5 plus 2 extras for a total of 7.How Tally Marks WorkMarks 1-4 (one stroke each):= 4Mark 5 (diagonal cross):= 55 + 2 extra = 7 total:= 7Favorite Pet - Tally ChartDogs|||| X ||7Cats|||| X5Fish|||3
How to draw tally marks — single strokes for 1-4, a diagonal cross for the 5th, and a sample tally chart.
Bar graph showing favorite petsA bar graph titled Favorite Pet with four categories: Dogs 7, Cats 5, Fish 3, Birds 2. The tallest bar is labeled Most and the shortest is labeled Fewest.Favorite Pet - Bar Graph012345678DogsCatsFishBirdsMost!FewestCategory (type of pet)Number of votes
A bar graph of favorite pets — Dogs (7), Cats (5), Fish (3), Birds (2) — showing the tallest (Most) and shortest (Fewest) bars.
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Ask yourself: "What is the title? Which axis shows the numbers? Which bar is tallest — and which is shortest?"

Vocabulary
Data
Information that has been collectede.g. We collected data about favorite fruits.
Tally mark
A line that stands for one iteme.g. Each tally mark counts as one vote.
Tally chart
A chart with categories and tally markse.g. I made a tally chart of pets on our street.
Bar graph
A graph that uses bars to show how manye.g. The tallest bar on the bar graph showed dogs.
Category
A group of things that are alikee.g. Each fruit was its own category.
Total
The full count for a categorye.g. The total for dogs was 7.
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