Make a Drawing, Write an Equation, Solve the Problem - Grade 1 Mathematics

Learn problem-solving strategies: make a drawing, write an equation, and solve the problem with detailed step-by-step solutions.

Problem Solving Steps: Solutions 1 to 3
1 Drawing, Equation, Solution
Problem 1
Sarah has 3 apples. Her mom gives her 2 more apples. How many apples does Sarah have now?
Definition:

Problem Solving Strategy: Make a drawing, write an equation, and solve the problem.

Three-step problem solving method:
  1. Make a drawing to represent the problem
  2. Write an equation based on the drawing
  3. Solve the equation to find the answer
Step 1: Make a drawing

Draw the apples: 🍎🍎🍎 + 🍎🍎 = ?

Step 2: Write an equation

3 + 2 = ?

Step 3: Solve the equation

3 + 2 = 5

Step 4: State the answer

Sarah has 5 apples now.

3 + 2 = 5
Final answer:

Sarah has 5 apples.

Applied rules:

• Visual representation: Drawings help understand the problem

• Equation formation: Translate words into math symbols

• Addition: Combine amounts to find the total

2 Addition Problem
Problem 2
Tom has 4 books. His sister brings him 3 more books. How many books does Tom have now?
Definition:

Addition Problem: Combining two or more amounts to find the total.

Step 1: Make a drawing

Draw the books: 📚📚📚📚 + 📚📚📚 = ?

Step 2: Write an equation

4 + 3 = ?

Step 3: Solve the equation

4 + 3 = 7

Step 4: State the answer

Tom has 7 books now.

4 + 3 = 7
Final answer:

Tom has 7 books.

Applied rules:

• Combination: Addition combines amounts

• Word clues: "more" indicates addition

• Total: The sum is the final amount

3 Subtraction Problem
Problem 3
Maya had 6 cookies. She ate 2 cookies. How many cookies does Maya have left?
Definition:

Subtraction Problem: Taking away from an amount to find what remains.

Step 1: Make a drawing

Draw the cookies: 🍪🍪🍪🍪🍪🍪 - 🍪🍪 = ?

Step 2: Write an equation

6 - 2 = ?

Step 3: Solve the equation

6 - 2 = 4

Step 4: State the answer

Maya has 4 cookies left.

6 - 2 = 4
Final answer:

Maya has 4 cookies left.

Applied rules:

• Subtraction: Taking away decreases the amount

• Word clues: "ate" and "left" indicate subtraction

• Remainder: What's left after taking away

Problem Solving Concepts and Methods
Drawing + Equation = Solution
Three-Step Process
Addition
3 + 2 = 5
Combine Amounts
Subtraction
6 - 2 = 4
Take Away
Word Clues
more, left, total
Operation Hints
Key definitions:

Problem Solving: Using math skills to answer real-world questions.

Visual Representation: Drawing pictures to understand the problem.

Equation: A mathematical sentence showing equality.

Three-step problem solving method:
  1. Make a drawing: Draw pictures to represent the problem
  2. Write an equation: Convert the problem into math symbols
  3. Solve the problem: Calculate to find the answer
Tip 1: Draw simple shapes to represent objects in the problem.
Tip 2: Look for key words like "more," "total," "left," "give."
Tip 3: Always check if your answer makes sense in the story.
Common word clues: "more" (add), "left" (subtract), "total" (add), "gave" (subtract).
Problem-solving: Always follow the three steps: draw, equation, solve.
Problem Solving Steps: Solutions 4 to 5
4 Mixed Operations
Problem 4
Ben had 8 balloons. He gave 3 to his friend and found 2 more. How many balloons does Ben have now?
Definition:

Mixed Operations: Problems requiring both addition and subtraction.

Step 1: Make a drawing

Start: 🎈🎈🎈🎈🎈🎈🎈🎈, Give away: -🎈🎈🎈, Find: +🎈🎈

Step 2: Write an equation

8 - 3 + 2 = ?

Step 3: Solve the equation

8 - 3 = 5, then 5 + 2 = 7

Step 4: State the answer

Ben has 7 balloons now.

8 - 3 + 2 = 7
Final answer:

Ben has 7 balloons.

Applied rules:

• Multiple operations: Solve step by step

• Order matters: Follow the sequence of events

• Verification: Check that answer fits the story

5 Multi-step Problem
Problem 5
There were 10 birds on a tree. 4 flew away. Then 3 more came back. How many birds are on the tree now?
Definition:

Multi-step Problem: Problems requiring multiple calculations to solve.

Step 1: Make a drawing

Start: 🐦🐦🐦🐦🐦🐦🐦🐦🐦🐦, Fly away: -🐦🐦🐦🐦, Come back: +🐦🐦🐦

Step 2: Write an equation

10 - 4 + 3 = ?

Step 3: Solve the equation

10 - 4 = 6, then 6 + 3 = 9

Step 4: State the answer

There are 9 birds on the tree now.

10 - 4 + 3 = 9
Final answer:

There are 9 birds on the tree.

Applied rules:

• Sequence: Follow the order of events in the story

• Step-by-step: Solve one operation at a time

• Verification: Make sure the answer makes sense

Complete Summary: Make a Drawing, Write an Equation, Solve the Problem
Comprehensive Summary
Key Concepts and Definitions:

Problem Solving: Using math skills to answer real-world questions.

Visual Representation: Drawing pictures to understand the problem.

Equation: A mathematical sentence showing equality.

Addition: Combining amounts to find the total.

Subtraction: Taking away from an amount to find what remains.

Core Rules and Principles:

• Visual approach: Drawings help understand the problem

• Equation formation: Translate words into math symbols

• Operation identification: Look for key words to determine addition or subtraction

• Step-by-step: Follow the sequence of events in order

• Verification: Always make sure your answer makes sense

Three-Step Problem Solving Method:
  1. Make a drawing: Represent the problem visually
  2. Write an equation: Convert the problem into math symbols
  3. Solve the problem: Calculate to find the answer
Memory Tip: Draw simple shapes like circles or dots if you don't know how to draw the actual object!
Pattern Tip: Look for words like "more," "total," "altogether" for addition.
Verification Tip: Always check that your answer fits the story in the problem.
Key Takeaways: Practice makes perfect! The more you work with drawings, equations, and solving problems, the better you'll get at understanding math stories. Always take your time to read the problem carefully and think before you answer. Remember that this three-step process helps you solve problems in everyday life too!

Questions & Answers

Question: I sometimes get confused when doing these drawing, equation, and solving problems. How can I stay focused and not make mistakes?

Answer: It's normal to feel confused sometimes! Here are strategies to stay focused:

  • Read slowly: Take your time reading the problem
  • Circle key words: Circle numbers and important words like "more," "left," "total"
  • Draw carefully: Make your drawings neat and clear
  • Work in a quiet space: Minimize distractions
  • Take breaks: Step away if you feel overwhelmed

Remember: It's better to do fewer problems correctly than many problems quickly!

Question: How can I help my child master the drawing, equation, and solving process?

Answer: Daily practice is key! Try these activities:

  • Daily practice: Do short, 10-15 minute sessions
  • Real-world connections: Use everyday objects for drawings
  • Games and puzzles: Make learning fun with activities
  • Positive reinforcement: Praise effort and progress
  • Consistent routine: Practice at the same time daily

Remember: Consistency and encouragement lead to success!

Question: I finish my work fast but sometimes get wrong answers. How can I check my work better?

Answer: Great question! Checking your work is a valuable skill:

  • Read the question again: Did you answer what was asked?
  • Count backwards: If you added, try subtracting to check
  • Estimate first: Does your answer seem reasonable?
  • Use a different method: Try solving the same problem another way
  • Check your work: Go through each step slowly

Remember: Accuracy is more important than speed. Smart students always check their work!