CH05-03 lesson

Scaled Picture and Bar Graphs Learning Activity

A focused Grade 3 learning session for Scaled Picture and Bar Graphs using visual models, worked examples, strategy guidance, and a short mastery check.

15
minutes
6
lesson parts
11
practice items
Learning goal

Students will create and interpret scaled picture graphs and bar graphs and solve comparison problems.

Student goal: I can read and create scaled picture graphs and bar graphs.

concept

Learn the Idea

Scaled Picture and Bar Graphs means reading, creating, and explaining displays so data can answer real questions.

  • Read the title, labels, and scale before answering.
  • Use the scale value instead of counting marks as ones when the graph is scaled.
  • Compare categories by subtracting or adding values from the display.
  • Explain what the data shows in a complete sentence.
visual model

See the Math

Visual Model 1

Question: A picture graph shows stickers collected. Each star represents \(2\) stickers. If Sam has \(3\) stars, how many stickers does Sam have?

Grade 3 Scaled Picture and Bar Graphs figure 1

  • A. \(2\)
  • B. \(5\)
  • C. \(6\)
  • D. \(8\)

Why it works: Count the stars and multiply by the scale: \(3\times2=6\) stickers.

Answer: \(6\)

worked example

Follow a Worked Example

Example 1

Question: Look at the bar graph. What is the height of each bar in units?

Grade 3 Scaled Picture and Bar Graphs figure 3

  • A. Dogs is \(3\) units, Cats is \(2\) units.
  • B. Dogs is \(2\) units, Cats is \(3\) units.
  • C. Dogs is \(2\) units, Cats is \(2\) units.
  • D. Dogs is \(1\) unit, Cats is \(4\) units.
  1. Read the height of each bar on the vertical axis by counting the grid lines.

Answer: Dogs is 2 units, Cats is 3 units.

Example 2

Question: A picture graph shows apples in bags. Look at the key and count the symbols.

Grade 3 Scaled Picture and Bar Graphs figure 4

  • A. Bag 1 has \(15\) apples, Bag 2 has \(20\) apples.
  • B. Bag 1 has \(3\) apples, Bag 2 has \(4\) apples.
  • C. Bag 1 has \(15\) apples, Bag 2 has \(10\) apples.
  • D. Bag 1 has \(20\) apples, Bag 2 has \(15\) apples.
  1. Count the symbols in the picture graph and multiply each count by the scale.

Answer: Bag 1: 3 circles × 5 = 15 apples. Bag 2: 4 circles × 5 = 20 apples.

real world

Connect It to a Real Situation

Problem 1

Question: A bar graph shows the number of books read by students. If each unit on the scale represents \(5\) books, and a bar's height is \(4\) units, how many books does that bar represent?

  • A. \(9\)
  • B. \(15\)
  • C. \(20\)
  • D. \(25\)

Why it works: Multiply the number of units by the scale: \(4\times5=20\) books.

Answer: \(20\)

strategy

Avoid Mistakes and Choose a Strategy

  • Ignoring the graph scale.
  • Reading the wrong category or axis label.
  • Answering a comparison question without subtracting.
  • Writing a number without explaining what it represents.
  • Circle the scale before using the graph.
  • Write down the value for each category you compare.
  • Use addition for totals and subtraction for differences.
  • Answer in words so the data result has meaning.
summary

Remember the Key Idea

Scaled Picture and Bar Graphs becomes easier when students connect the question to a model, use clear steps, and explain why the answer fits.

GOLDEN RULE

Read the scale before reading the answer.

Guided to independent practice

Solve before opening the answer

Use scratch paper. The explanation matters more than simply seeing whether the choice is correct.

warmup

2 questions
G3-C05-T03-Q001 About 1 min

A bar graph shows the number of books read by students. If each unit on the scale represents \(5\) books, and a bar's height is \(4\) units, how many books does that bar represent?

  1. A \(9\)
  2. B \(15\)
  3. C \(20\)
  4. D \(25\)
Check answer and explanation

Answer C: \(20\)

Multiply the number of units by the scale: \(4\times5=20\) books.

G3-C05-T03-Q002 About 1 min

A picture graph shows stickers collected. Each star represents \(2\) stickers. If Sam has \(3\) stars, how many stickers does Sam have?

Scaled Picture and Bar Graphs visual for G3-C05-T03-Q002
  1. A \(2\)
  2. B \(5\)
  3. C \(6\)
  4. D \(8\)
Check answer and explanation

Answer C: \(6\)

Count the stars and multiply by the scale: \(3\times2=6\) stickers.

guided

1 question
G3-C05-T03-Q003 About 1 min

Look at the bar graph. Each mark represents \(10\) apples. How many apples does Ben have?

Scaled Picture and Bar Graphs visual for G3-C05-T03-Q003
  1. A \(20\)
  2. B \(25\)
  3. C \(30\)
  4. D \(40\)
Check answer and explanation

Answer A: \(20\)

Ben's bar is 2 units tall. \(2\times10=20\) apples.

practice

5 questions
G3-C05-T03-Q004 About 1 min

A picture graph shows pencils. Each pencil symbol means \(5\) pencils. Maya has \(4\) symbols. How many pencils does Maya have?

  1. A \(9\)
  2. B \(15\)
  3. C \(20\)
  4. D \(25\)
Check answer and explanation

Answer C: \(20\)

Multiply: \(4\times5=20\) pencils.

G3-C05-T03-Q005 About 1 min

A picture graph shows marbles. Each circle represents \(2\) marbles. Ava has \(5\) circles and Noah has \(3\) circles. How many more marbles does Ava have?

  1. A \(4\)
  2. B \(6\)
  3. C \(8\)
  4. D \(10\)
Check answer and explanation

Answer A: \(4\)

Ava: \(5\times2=10\). Noah: \(3\times2=6\). Difference: \(10-6=4\).

G3-C05-T03-Q006 About 1 min

A bar graph shows cookies sold. The scale is \(5\) cookies per unit. Lily's bar reaches \(3\) units. How many cookies did Lily sell?

  1. A \(8\)
  2. B \(12\)
  3. C \(15\)
  4. D \(20\)
Check answer and explanation

Answer C: \(15\)

Multiply: \(3\times5=15\) cookies.

G3-C05-T03-Q007 About 1 min

A bar graph shows books checked out from the library. One bar is \(4\) units tall, the other is \(2\) units tall. Each unit represents \(5\) books. How many more books does the first bar show?

  1. A \(2\)
  2. B \(10\)
  3. C \(15\)
  4. D \(20\)
Check answer and explanation

Answer B: \(10\)

First bar: \(4\times5=20\). Second bar: \(2\times5=10\). Difference: \(20-10=10\).

G3-C05-T03-Q008 About 1 min

A picture graph shows stickers. Each heart represents \(2\) stickers. Mia had \(8\) hearts, then gave away \(3\) hearts. How many stickers does Mia have now?

  1. A \(5\) stickers
  2. B \(10\) stickers
  3. C \(16\) stickers
  4. D \(11\) stickers
Check answer and explanation

Answer B: \(10\) stickers

Remaining hearts: \(8-3=5\). Convert to stickers: \(5\times2=10\) stickers.

exit

3 questions
G3-C05-T03-Q009 About 1 min

A bar graph shows toy cars. The scale shows \(10\) cars per unit. Eli's bar is \(2\) units tall. How many cars does Eli have?

  1. A \(12\)
  2. B \(20\)
  3. C \(30\)
  4. D \(40\)
Check answer and explanation

Answer B: \(20\)

\(2\times10=20\) cars.

G3-C05-T03-Q010 About 1 min

A picture graph shows flowers. Each flower symbol means \(3\) flowers. If there are \(2\) symbols for red flowers and \(4\) symbols for yellow flowers, how many flowers are there in total?

  1. A \(6\)
  2. B \(12\)
  3. C \(18\)
  4. D \(24\)
Check answer and explanation

Answer C: \(18\)

Red: \(2\times3=6\). Yellow: \(4\times3=12\). Total: \(6+12=18\).

G3-C05-T03-Q011 About 1 min

A bar graph shows minutes played at recess. Each unit is \(2\) minutes. Sofia's bar is \(5\) units. How many minutes did Sofia play?

  1. A \(7\)
  2. B \(10\)
  3. C \(12\)
  4. D \(15\)
Check answer and explanation

Answer B: \(10\)

\(5\times2=10\) minutes.

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