Lesson Plans on Making Change for Grade 3 Concepts

Learn advanced making change concepts suitable for grade 3 level with these comprehensive exercises.

Solution: Exercises 1 to 3
1 Advanced Change
Exercise 1
You buy a book for $4.75, a pen for $1.25, and a notebook for $2.50. You pay with a $10 bill. How much change do you get?
Definition:

Advanced change: Multi-item purchase with larger amounts and complex calculations

Change calculation method:
  1. Identify the payment amount ($10.00)
  2. Find the total cost of all items
  3. Subtract the total cost from the payment
  4. Check that the answer makes sense
Book
$4.75
Pen
$1.25
Notebook
$2.50
Total
$8.50
Step 1: Add up all item costs

Total Cost = $4.75 + $1.25 + $2.50 = $8.50

Step 2: Apply the change formula

Change = Amount Paid - Total Cost

Change = $10.00 - $8.50

Step 3: Calculate the difference

$10.00 - $8.50 = $1.50

Step 4: Verify the answer

Cost + Change = $8.50 + $1.50 = $10.00 ✓

Change = $1.50
Final answer:

You get $1.50 in change.

Applied rules:

• Multi-addition: Sum all item costs before subtracting

• Subtraction: Change = Paid - Total Cost

• Verification: Cost + Change = Payment

2 Complex Purchase
Exercise 2
Sarah buys groceries: milk for $3.45, bread for $2.75, eggs for $1.80, and cheese for $4.25. She pays with $20.00. How much change does she receive?
Definition:

Complex purchase: Multiple items with different prices requiring careful addition

Milk
$3.45
Bread
$2.75
Eggs
$1.80
Cheese
$4.25
Step 1: Add all item costs

Total Cost = $3.45 + $2.75 + $1.80 + $4.25 = $12.25

Step 2: Apply change formula

Change = Amount Paid - Total Cost

Change = $20.00 - $12.25

Step 3: Calculate the change

$20.00 - $12.25 = $7.75

Step 4: Verify the answer

Cost + Change = $12.25 + $7.75 = $20.00 ✓

Change = $7.75
Final answer:

Sarah receives $7.75 in change.

Applied rules:

• Systematic addition: Add items in an organized manner

• Subtraction: Change = Paid - Total Cost

• Verification: Check that all amounts add up correctly

3 Real-World Scenario
Exercise 3
At the bookstore, you buy a novel for $8.95, a magazine for $3.25, and a bookmark for $0.75. You pay with a $20 bill. How much change do you get? Show your work.
Definition:

Real-world scenario: Practical application of change calculation in everyday situations

Payment
$20.00
Novel
$8.95
Magazine
$3.25
Bookmark
$0.75
Total Cost
$12.95
Step 1: Calculate total cost

Novel ($8.95) + Magazine ($3.25) + Bookmark ($0.75) = $12.95

Step 2: Apply the change formula

Change = Amount Paid - Total Cost

Change = $20.00 - $12.95

Step 3: Calculate the difference

$20.00 - $12.95 = $7.05

Step 4: Verify the answer

Cost + Change = $12.95 + $7.05 = $20.00 ✓

Change = $7.05
Final answer:

You get $7.05 in change.

Applied rules:

• Real-world application: Connecting math to everyday situations

• Systematic approach: Organize information before calculating

• Verification: Always check that amounts add up

Grade 3 Making Change Lesson Plan

Lesson Plan Components

Objectives
Content
Methods
Assessment
Change = Paid - Cost
Change Formula
1
Introduction
→
2
Guided Practice
→
3
Independent Practice
→
4
Assessment
Objective
Students will calculate change for multi-item purchases
Materials
Play money, price tags, worksheets
Time
45 minutes
Standards
CCSS.MATH.CONTENT.3.NBT.A.2
Key definitions:

Grade 3 making change: Advanced money calculations involving multiple items and larger amounts

Multi-digit subtraction: Calculating change with numbers up to hundreds

Real-world application: Using making change in practical shopping scenarios

Grade 3 Making Change Method:
  1. Identify all items: List each item and its cost
  2. Calculate total cost: Add all item prices together
  3. Apply change formula: Change = Amount Paid - Total Cost
  4. Perform calculation: Subtract the total from payment
  5. Verify answer: Check that cost + change = payment
Tip 1: Organize items before adding to avoid mistakes.
Tip 2: Use place value understanding for accurate calculations.
Tip 3: Always verify your answer by adding back.
Common errors: Forgetting to add all costs, place value mistakes, incorrect subtraction.
Success strategies: Systematic approach, verification, real-world context.
Solution: Exercises 4 to 5
4 Shopping Scenario
Exercise 4
You're shopping for school supplies. You buy pencils for $2.45, a notebook for $3.75, markers for $4.25, and an eraser for $1.30. You pay with $20.00. How much change do you get?
Definition:

School supply scenario: Real-world application of making change for educational items

Pencils
$2.45
Notebook
$3.75
Markers
$4.25
Eraser
$1.30
Total Cost
$11.75
Step 1: Add all item costs

Total Cost = $2.45 + $3.75 + $4.25 + $1.30 = $11.75

Step 2: Apply change formula

Change = Amount Paid - Total Cost

Change = $20.00 - $11.75

Step 3: Calculate the change

$20.00 - $11.75 = $8.25

Step 4: Verify the answer

Cost + Change = $11.75 + $8.25 = $20.00 ✓

Change = $8.25
Final answer:

You get $8.25 in change.

Applied rules:

• Systematic addition: Add items in order to avoid mistakes

• Subtraction: Change = Paid - Total Cost

• Verification: Check that all amounts add up correctly

5 Receipt Problem
Exercise 5
Your receipt shows: apples for $2.85, oranges for $1.95, bananas for $2.25, and grapes for $3.75. You paid with $15.00. Calculate your change and verify the receipt is correct.
Definition:

Receipt verification: Checking if the total cost on a receipt is accurate

Receipt Total
$2.85 + $1.95 + $2.25 + $3.75 = $10.80
Payment
$15.00
Change
$15.00 - $10.80 = $4.20
Step 1: Calculate total cost from receipt

$2.85 + $1.95 + $2.25 + $3.75 = $10.80

Step 2: Calculate change

Change = $15.00 - $10.80 = $4.20

Step 3: Verify receipt accuracy

Individual items add up to receipt total: $10.80 ✓

Step 4: Verify change calculation

Cost + Change = $10.80 + $4.20 = $15.00 ✓

Change = $4.20, Receipt is correct
Final answer:

You should receive $4.20 in change. The receipt is correct.

Applied rules:

• Verification: Check both receipt accuracy and change calculation

• Multi-addition: Sum all items to verify receipt total

• Real-world skill: Important for financial literacy

Grade 3 Making Change Curriculum Standards
Change = Paid - Cost
Change Formula
Key definitions:

Grade 3 making change: Advanced money calculations involving multiple items and larger amounts

Multi-digit subtraction: Calculating change with numbers up to hundreds

Real-world application: Using making change in practical shopping scenarios

Grade 3 Making Change Process:
  1. Identify all items: List each item and its cost
  2. Calculate total cost: Add all item prices together
  3. Apply change formula: Change = Amount Paid - Total Cost
  4. Perform calculation: Subtract the total from payment
  5. Verify answer: Check that cost + change = payment
  6. Express result: Include proper dollar and cent notation
Tip 1: Always add multiple costs before subtracting.
Tip 2: Use the same method for all change problems.
Tip 3: Always verify your answer by adding back.
Tip 4: Be careful with decimal points in money calculations.
Common errors: Adding instead of subtracting, forgetting to add multiple costs, decimal point errors.
Practice tips: Use real receipts, practice with different amounts, work with peers.
Grade 3 making change facts:

• Change = Amount Paid - Total Cost

• For multiple items, add costs first

• Always verify by adding change back to cost

• The change amount should be less than the payment

• Proper notation: Include dollar sign and cents

• Real-world application: Important for financial literacy

Questions & Answers

Question: Why do we need to learn making change for grade 3 when we're still in grade 2?

Answer: We're learning grade 3 concepts to prepare you for the next level:

  • Challenge yourself: Learning harder problems helps you grow
  • Advanced preparation: Getting ready for grade 3 math skills
  • Real-world readiness: Important life skill for shopping
  • Mathematical foundation: Builds stronger arithmetic skills
  • Confidence building: Mastering advanced concepts early

Think of it as practicing for the next grade level!

These skills will help you become more confident with money math.

Question: How is grade 3 making change different from what we learned in grade 2?

Answer: Grade 3 making change is more advanced:

  • More items: Problems with 3-4 items instead of 1-2
  • Larger amounts: Using $10, $20 bills instead of smaller amounts
  • Complex decimals: More precise cents like $4.75 instead of $0.25
  • Real-world scenarios: More practical, realistic problems
  • Verification skills: Checking receipts and calculations

Grade 3 problems are more like real shopping experiences!

You're learning the same basic concept but with more complex applications.

Question: How can I help my child practice grade 3 level making change skills at home?

Answer: Here are effective home practice strategies:

  1. Use real receipts: Practice with actual store receipts
  2. Set up a store: Use household items with price tags
  3. Practice with larger amounts: Use $10 and $20 bills
  4. Create scenarios: Make up shopping situations with multiple items
  5. Play games: Turn practice into fun activities
  6. Real shopping: Let them calculate change during actual purchases

Start with simpler grade 3 problems and gradually increase difficulty.

Encourage them to always check their work by adding back.

Complete Summary: Making Change Lesson Plan Grade 3

Key Definitions

Grade 3 making change: Advanced money calculations involving multiple items and larger amounts compared to grade 2.

Multi-item purchase: Calculating change when buying several items with different prices.

Real-world application: Using making change skills in practical shopping and financial situations.

Verification: Checking that your answer is correct by adding back.

Core Rules and Principles

Change formula: Change = Amount Paid - Total Cost.

Multi-addition principle: Always add all item costs before subtracting.

Verification rule: Cost + Change should equal the payment amount.

Place value: Maintaining proper dollar and cent notation.

Step-by-Step Method
  1. Identify all items: List each item and its individual cost
  2. Calculate total cost: Add up all item prices together
  3. Apply the formula: Change = Amount Paid - Total Cost
  4. Perform the calculation: Carry out the subtraction
  5. Verify your answer: Check that cost + change = payment
  6. Express the result: Include proper dollar and cent notation
Examples (Simple to Advanced)

Simple Example: Pay $10.00 for items costing $4.75 and $2.25: $10.00 - $7.00 = $3.00 change.

Medium Example: Pay $20.00 for items costing $3.45, $2.75, $1.80, and $4.25: $20.00 - $12.25 = $7.75 change.

Advanced Example: Pay $50.00 for multiple items totaling $34.75: $50.00 - $34.75 = $15.25 change.

Tips and Tricks
  • Organize items: List items before adding to avoid mistakes
  • Add first: Always add multiple costs before subtracting
  • Check your work: Add change back to cost to verify
  • Same method: Use the same process for all problems
  • Practice regularly: Work with real receipts and money
Common Pitfalls
  • Missing costs: Forgetting to add all item costs together
  • Decimal errors: Misplacing decimal points in calculations
  • Not verifying: Failing to check that amounts add up correctly
  • Wrong operation: Adding instead of subtracting
  • Place value: Incorrect dollar and cent notation
Key Notes for Memorization
  • Change = Paid - Cost: This is the fundamental formula
  • Add all costs first: Before subtracting from payment
  • Verify by adding: Cost + Change should equal Payment
  • Same process: Use identical steps for all problems
  • Real-world skill: This is important for shopping and finance