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Study with Ghada› Math Fifth Grade, Primary› Unit 3

Lesson ⁦3-5⁩: Problem-Solving Strategy: Draw a Picture

Math · Fifth Grade, Primary · Unit 3: Multiplication · First Semester

A 10-question quiz; after every question you'll see the right answer with an explanation.
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What will you learn in this lesson?

Students learn the draw-a-picture strategy to illustrate a problem, so they can see the relationships between the given facts. It's a useful strategy for problems about rows, distances, cutting, and lines of people.

  • Understands the problem and identifies what is given and what is asked
  • Plans the solution by drawing a picture that represents the problem
  • Solves the problem using the drawing
  • Checks whether the answer is reasonable by reviewing the drawing

💡 Tip: In problems about trees or poles in a row, the number of gaps is one less than the number of trees. Draw it to be sure instead of multiplying right away.

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Worked examples from the Problem-Solving Strategy: Draw a Picture lesson questions

8 trees were planted in a row, and the distance between every two neighboring trees is 5 meters. What is the distance between the first and the last tree?
  • 35 meters
  • 40 meters
  • 30 meters
  • 45 meters
✓ 35 meters
When we draw a picture, we find that 8 trees have only 7 spaces between them, so 7 × 5 = 35 meters.
A rectangular garden is 12 m long and 8 m wide, and its owner wants to put a fence around it. How long is the fence?
  • 40 m
  • 20 m
  • 96 m
  • 32 m
✓ 40 m
We draw the rectangle and add the lengths of the four sides: 12 + 8 + 12 + 8 = 40 m.
Show more examples (3)
How many times must we cut a rope to get 5 pieces?
  • 4 times
  • 5 times
  • 6 times
  • 3 times
✓ 4 times
When we draw the rope, we notice that each cut adds one piece, so we need 4 cuts to get 5 pieces.
Salman is standing in a line. He is fifth from the front and seventh from the back. How many people are in the line?
  • 11
  • 12
  • 13
  • 10
✓ 11
There are 4 people in front of him and 6 people behind him, so the number is 4 + 1 + 6 = 11 people.
Drawing a picture helps us understand a problem and organize its information.
✓ True
True; the picture shows the relationships among the given facts and makes it easier to find the solution.

FAQ about the Problem-Solving Strategy: Draw a Picture lesson

There are 8 trees in a row with 5 meters between each two trees. What is the distance from the first to the last?

When we draw it, we find only 7 gaps between 8 trees, so the distance is 7 × 5 = 35 meters, not 40.

How many cuts do we need to divide a rope into 5 pieces?

We need only 4 cuts, since each cut adds one piece, and a drawing shows this easily.

How do I study the lesson Problem-Solving Strategy: Draw a Picture and test myself on it?

Start the lesson quiz on Study with Ghada: 10 questions from the Math Fifth Grade, Primary question bank. After each answer you'll see the right answer with an explanation, and any questions you miss move to “Review my mistakes” until you master them.

Are Study with Ghada quizzes free and aligned with the curriculum?

Yes, completely free. They're built on the Math - Grade 5 - Semester 1 lessons in the same order as the book, and every question is reviewed and approved by a teacher before students see it.

Unit 3 lessons: Multiplication

⁦3-1⁩ Multiplication Patterns ⁦3-2⁩ Distributive Property ⁦3-3⁩ Estimate Products ⁦3-4⁩ Multiply by a One-Digit Number ⁦3-6⁩ Multiply by a Two-Digit Number ⁦3-7⁩ Multiplication Properties ⁦3-8⁩ Problem-Solving Investigation: Choose the Best Strategy All Math Fifth Grade, Primary lessons →
← ⁦3-4⁩ Multiply by a One-Digit Number ⁦3-6⁩ Multiply by a Two-Digit Number →