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Math · Grade 3 Math

Chapter 6: Scaled Graphs and Line Plots

Scaled Bar Graphs

When the scale counts in twos, fives, or tens.

Lesson
2
Time
About 13 minutes
0 of 7 done

Step 1: Let's Learn

Read it, or press Listen and follow the words.

A bar graph for big numbers cannot mark every one. So it steps by 2, 5, or 10.

Read the numbers, not the height

A bar reaching the third mark on a scale of 5 is 15, not 3.

Bars between marks

A bar halfway between 10 and 20 is 15. Work out what half a step is worth.

Check the scale before any reading

A bar graph might go up in 1s, 2s, 5s or 10s. On a scale of 5, a bar reaching the third line means 15, not 3. Before you read a single bar, look at two adjacent numbers on the axis and work out the step.

Bars that stop between lines

On a scale of 10, a bar halfway between 20 and 30 means 25. You are reading a number line, so the same "count the spaces, not the marks" thinking applies. Estimate carefully rather than rounding to the nearest labelled line.

Why scales are used at all

If a category had 300 items, a scale of 1 would need a graph three hundred squares tall. Scales let large data fit on a page. The cost is that every reading needs a small calculation, which is a fair trade.

Step 2: Try It Yourself

Tap and try it out.

Each step of the bar is worth 5.
Apples30
Balls15
Fish40

Key: each symbol stands for 5.

There are 85 in all.

Fish has the most. It has 25 more than Balls.

Step 3: Watch an Example

One step at a time.

Watch Leo Read a Scale

A bar graph steps by 5 and a bar reaches the fourth mark.

  1. Step 1

    He checks the scale before reading the bar.

Step 4: Your Turn

Practice makes it stick.

The Class Survey

Problem 1 of 2

A scale steps by 10. A bar reaches the fourth mark. What value is it?

Halfway Up

Problem 2 of 2

On a scale stepping by 10, a bar sits halfway between 20 and 30. What is it?

Read the Scale

1 of 3

A scale of 5, bar at the sixth mark. What value?

2 of 3

A scale of 2, bar at the seventh mark. What value?

3 of 3

A scale of 5. Bars at 30 and 15. How many more is the first?

Step 5: Quick Check

Show what you know.

Question 1 of 2

A scale of 5, bar at the seventh mark. What value?

Question 2 of 2

Why check the scale first?

What You Learned

  • A scaled bar graph steps by more than one.
  • Read the numbers on the axis, not the number of marks.
  • Work out what half a step is worth for bars in between.