Drawing Problems | Solved Exercises

Solution: Exercises 1 to 3

1 Drawing to Count Objects

Exercise 1

Emma has 6 flowers in her garden. She plants 4 more flowers. Draw the flowers to find out how many flowers she has now.

Definition:

Drawing problems: Using visual representations to solve math problems

Drawing problem method:

Read the problem carefully
Identify what needs to be drawn
Draw the initial situation
Draw the changes that happen
Count the total
Write the answer

Initial

6 flowers

Added

4 flowers

Total

10 flowers

🌸

Step 1: Draw initial flowers

Emma starts with 6 flowers: 🌸🌸🌸🌸🌸🌸

Step 2: Draw added flowers

She plants 4 more flowers: 🌸🌸🌸🌸

Step 3: Count all flowers

Total: 🌸🌸🌸🌸🌸🌸 + 🌸🌸🌸🌸 = 10 flowers

Step 4: Write the answer

Emma has 10 flowers now

6 + 4 = 10

Final answer:

Emma has 10 flowers now.

Applied rules:

• Visual representation: Draw pictures to represent the problem

• One-to-one correspondence: Each flower drawn represents one real flower

• Counting: Count all items to find the total

2 Drawing to Subtract

Exercise 2

Jake has 9 balloons. He gives 3 balloons to his friend. Draw the balloons to find out how many he has left.

Definition:

Subtraction drawing: Drawing to represent taking away or removing objects

Start

9 balloons

Given Away

3 balloons

Remaining

6 balloons

🎈

Step 1: Draw all balloons

Jake starts with 9 balloons: 🎈🎈🎈🎈🎈🎈🎈🎈🎈

Step 2: Cross out given balloons

Cross out 3 balloons: 🎈🎈🎈🎈🎈🎈🎈🎈🎈

Step 3: Count remaining

Count the uncrossed balloons: 6 are left

Step 4: Write the answer

Jake has 6 balloons left

9 - 3 = 6

Final answer:

Jake has 6 balloons left.

Applied rules:

• Visual subtraction: Cross out items that are taken away

• Remaining count: Count items that are not crossed out

• Subtraction concept: Taking away reduces the total

3 Drawing Pattern Problems

Exercise 3

The pattern is red circle, blue circle, green circle. Draw the next 4 shapes in the pattern.

Definition:

Pattern drawing: Identifying and continuing visual sequences

Pattern

Red, Blue, Green

Next 4

Red, Blue, Green, Red

Result

Continue pattern

🔴

🔵

🟢

🔴

🔵

🟢

🔴

🔵

Step 1: Identify the pattern

The pattern repeats: Red circle, Blue circle, Green circle

Step 2: Continue the sequence

After the given pattern, continue with Red, Blue, Green, Red

Step 3: Draw the next 4 shapes

Draw Red circle (🔴), Blue circle (🔵), Green circle (🟢), Red circle (🔴)

Step 4: Verify the pattern

Check that the sequence continues correctly

Next 4 shapes: 🔴🔵🟢🔴

Final answer:

The next 4 shapes are: Red, Blue, Green, Red

Applied rules:

• Pattern recognition: Identify the repeating sequence

• Continuation: Follow the same order to continue

• Repetition: The pattern repeats in the same order

Rules and methods, laws,...

Draw + Count = Solution

Drawing Problem Method

Rule 1

Read Carefully

Understand the problem

Rule 2

Draw Visually

Create visual model

Rule 3

Count Accurately

Get exact answer

Key definitions:

Drawing problems: Using visual representations to solve math problems

Visual model: A picture or diagram that represents the problem

Pattern: A repeated sequence of shapes, colors, or objects

Complete methodology:

Read: Understand what the problem is asking
Plan: Decide what to draw to represent the problem
Draw: Create visual representations
Count/Solve: Use the drawing to find the answer
Check: Verify that the answer makes sense

Tip 1: Use simple shapes or symbols to represent objects.

Tip 2: Draw neat and organized pictures.

Tip 3: Count carefully to avoid mistakes.

Tip 4: Practice with different types of problems.

Common errors: Drawing too many or too few items, miscounting, not following the pattern.

Key concepts: Visualization, counting, pattern recognition, problem solving.

Formulas to know by heart:

• Draw what the problem says

• Count what you drew

• Look for patterns that repeat

• Check your answer makes sense

Solution: Exercises 4 to 5

4 Drawing Comparison Problems

Exercise 4

Draw 7 stars and 5 hearts. Which shape has more? How many more?

Definition:

Comparing with drawings: Using visual models to compare quantities

Stars

Hearts

Difference

⭐

❤️

Step 1: Draw 7 stars

Draw 7 star shapes: ⭐⭐⭐⭐⭐⭐⭐

Step 2: Draw 5 hearts

Draw 5 heart shapes: ❤️❤️❤️❤️❤️

Step 3: Compare quantities

Count: 7 stars vs 5 hearts

Step 4: Find the difference

7 - 5 = 2 more stars than hearts

Step 5: Write the answer

Stars have more. There are 2 more stars than hearts.

Stars: 7, Hearts: 5, Difference: 2

Final answer:

Stars have more. There are 2 more stars than hearts.

Applied rules:

• Visual comparison: Draw both sets to compare directly

• Counting: Count each set separately

• Difference: Subtract smaller from larger to find how many more

5 Multi-Step Drawing Problems

Exercise 5

There are 10 birds on a branch. 4 fly away. Then 3 more come to join. How many birds are on the branch now? Draw to solve.

Definition:

Multi-step drawing: Using drawings to solve problems with multiple actions

Start

10 birds

Fly Away

-4 birds

Join

+3 birds

End

9 birds

🐦

→

🐦

→

🐦

Step 1: Draw initial birds

Start with 10 birds on the branch: 🐦🐦🐦🐦🐦🐦🐦🐦🐦🐦

Step 2: Show birds flying away

Remove 4 birds: 🐦🐦🐦🐦🐦🐦 (6 birds left)

Step 3: Show birds joining

Add 3 birds: 🐦🐦🐦🐦🐦🐦 + 🐦🐦🐦 = 🐦🐦🐦🐦🐦🐦🐦🐦🐦 (9 birds)

Step 4: Count final birds

There are 9 birds on the branch now

Step 5: Write the answer

9 birds are on the branch now

10 - 4 + 3 = 9

Final answer:

There are 9 birds on the branch now.

Applied rules:

• Sequential drawing: Show each action step by step

• Multi-step problem: Handle one change at a time

• Tracking: Keep track of the current state after each change

Drawing Problems Guide: Laws, Methods, Definitions, Expressions

Draw + Count = Solution

Drawing Problem Method

Key definitions:

Drawing problems: Using visual representations to solve math problems

Visual model: A picture or diagram that represents the problem

Pattern: A repeated sequence of shapes, colors, or objects

Complete methodology:

Read: Understand what the problem is asking
Plan: Decide what to draw to represent the problem
Draw: Create visual representations
Count/Solve: Use the drawing to find the answer
Check: Verify that the answer makes sense

Tip 1: Use simple shapes or symbols to represent objects.

Tip 2: Draw neat and organized pictures.

Tip 3: Count carefully to avoid mistakes.

Tip 4: Practice with different types of problems.

Common errors: Drawing too many or too few items, miscounting, not following the pattern.

Key concepts: Visualization, counting, pattern recognition, problem solving.

Formulas to know by heart:

• Draw what the problem says

• Count what you drew

• Look for patterns that repeat

• Check your answer makes sense

Questions & Answers

JackieFirst

Grade 1 Student

Question: Do I have to draw perfect pictures for drawing problems?

TeacherSarah

Elementary Math Specialist - B.Ed

Answer: No, perfect pictures aren't necessary! The most important things are:

Clarity: Can you tell what each drawing represents?
Accuracy: Does the number of drawings match the problem?
Organization: Are items grouped logically?

Simple shapes like circles, squares, or dots work perfectly for representing objects.

Example: For 5 apples, you can draw 🍎🍎🍎🍎🍎 or even just 5 circles.

MommyMath

Question: My child gets frustrated with complex drawing problems. How can I help?

EducatorMark

Master in Elementary Education

Answer: Here are strategies to reduce frustration:

Break it down: Solve one part of the problem at a time
Use simple symbols: Circles, squares, or X's work fine
Practice first: Do simpler drawing problems before complex ones
Encourage: Praise effort, not just the result

Remind your child that drawing is a tool to help them solve problems, not an art project.

Tip: Start with problems that only require drawing the final answer.

LearningLiz

First Grade Teacher

Question: How can I assess if students are benefiting from drawing problems?

ProfessorPat

PhD in Mathematics Education

Answer: Look for these indicators of benefit:

Accuracy: Students solve problems correctly more often
Confidence: Students approach problems more confidently
Explanation: Students can explain their thinking using their drawings
Independence: Students choose to draw when facing new problems

Compare problem-solving success rates with and without drawing.

Observe which students benefit most from the visual approach.

Drawing Problems: Complete Learning Summary

Key Definitions

Drawing Problems: Using visual representations to solve math problems

Visual Model: A picture or diagram that represents the problem

Pattern: A repeated sequence of shapes, colors, or objects

One-to-One Correspondence: Each drawing represents exactly one real object

Sequential Drawing: Showing each step of a multi-step problem

Core Rules & Laws

Visual Representation Rule: Draw what the problem describes

Counting Rule: Count what you drew to find the answer

Pattern Rule: Identify the repeating sequence

Comparison Rule: Draw both sets to compare quantities

Sequential Rule: Show each action step by step

Step-by-Step Method

Step 1: Read the problem carefully

Step 2: Plan what to draw

Step 3: Create visual representations

Step 4: Use the drawing to solve

Step 5: Check that the answer makes sense

Examples & Applications

Addition: Draw 6 flowers + 4 flowers = 10 flowers

Subtraction: Draw 9 balloons - 3 given = 6 left

Patterns: Red, Blue, Green → Red, Blue, Green, Red

Comparison: Draw 7 stars vs 5 hearts

Multi-step: 10 birds - 4 fly + 3 join = 9 birds

Tips & Common Pitfalls

Tip 1: Use simple shapes or symbols for clarity

Tip 2: Organize drawings in rows or groups

Tip 3: Label drawings when needed

Pitfall: Drawing too many or too few items

Pitfall: Not following the pattern correctly

Key Takeaways

Memorize: Draw what the problem says

Remember: Count what you drew

Practice: Work with different problem types

Verify: Check that your answer makes sense

Master: Drawing is a powerful problem-solving tool

Solved Exercises on Drawing Problems in Grade 1

Questions & Answers

Drawing Problems: Complete Learning Summary