Lesson Plans on Making a Change Reading Answers

Learn how to read and understand answers related to making change for 2nd grade math through these 5 detailed exercises.

Solution: Exercises 1 to 3
1 Reading Money Problems
Exercise 1
Read this problem: "Sarah has $1.50. She buys a candy bar for $0.75. How much change does she get?" What is the answer?
Definition:

Reading math problems: Carefully identifying numbers and operations needed

Reading method:
  1. Read the entire problem carefully
  2. Identify the starting amount ($1.50)
  3. Find the cost of the item ($0.75)
  4. Determine the operation (subtraction)
  5. Calculate the answer
Starting Amount
$1.50
Cost
$0.75
Change
$0.75
Step 1: Identify what we know

Sarah starts with $1.50

Step 2: Find the cost

The candy bar costs $0.75

Step 3: Set up the subtraction

Change = $1.50 - $0.75

Step 4: Calculate the answer

$1.50 - $0.75 = $0.75

Sarah gets $0.75 in change
Final answer:

Sarah gets $0.75 in change

Applied rules:

• Reading carefully: Identify all important information

• Subtraction: Change = Starting amount - Cost

• Units: Always include dollar sign and cents

2 Understanding Solutions
Exercise 2
Read this solution: "$2.00 - $1.25 = $0.75. The answer is $0.75." Explain what each part means.
Definition:

Reading solutions: Understanding each step and the final answer

$2.00
Amount paid
$1.25
Cost of item
$0.75
Change received
Step 1: Read the equation

"$2.00 - $1.25 = $0.75" shows the subtraction

Step 2: Understand the parts

$2.00 = money given, $1.25 = cost, $0.75 = change

Step 3: Identify the answer

"The answer is $0.75" confirms the result

Step 4: Check understanding

This makes sense: $1.25 + $0.75 = $2.00

Solution shows: Paid - Cost = Change
Final answer:

The solution shows that when $1.25 is subtracted from $2.00, the change is $0.75.

Applied rules:

• Equation parts: Understand what each number represents

• Operation: Subtraction finds the difference

• Verification: Check that the math makes sense

3 Finding Key Information
Exercise 3
Read: "Tom pays with a $5 bill for items that cost $3.45. What is his change?" Circle the important numbers and circle the question word.
Definition:

Identifying key information: Finding numbers and the question in word problems

Important numbers
$5, $3.45
Question word
What
Operation needed
Subtraction
Step 1: Find the numbers

$5 (paid) and $3.45 (cost) are the important numbers

Step 2: Locate the question word

"What" indicates what we need to find

Step 3: Determine the operation

Change means subtraction: $5 - $3.45

Step 4: Solve the problem

$5.00 - $3.45 = $1.55

Change = $1.55
Final answer:

Tom's change is $1.55

Applied rules:

• Key numbers: Circle amounts of money mentioned

• Question words: Look for "what," "how much," "find"

• Operation identification: Change problems use subtraction

Reading Math Problems About Making Change

Reading Strategy

Read Carefully
Find Numbers
See Question
Calculate Answer
Change = Paid - Cost
Change Formula
1
Read Entire Problem
→
2
Circle Important Numbers
→
3
Find the Question
→
4
Solve and Check
Key definitions:

Reading math problems: Carefully examining word problems to identify key information

Key numbers: The amounts of money mentioned in the problem

Question word: Words like "what," "how much," "find" that indicate what to solve for

Reading Methodology:
  1. Read completely: Understand the entire situation
  2. Identify numbers: Circle all monetary amounts
  3. Locate question: Find what is being asked
  4. Choose operation: Determine if adding or subtracting
  5. Solve carefully: Perform the calculation
  6. Check answer: Make sure it makes sense
Tip 1: Read the problem twice to catch all details.
Tip 2: Circle numbers so you don't miss them.
Tip 3: Look for question words like "what" or "how much".
Common errors: Missing numbers, misunderstanding the question, wrong operation.
Success strategies: Slow reading, circling key information, checking work.
Solution: Exercises 4 to 5
4 Analyzing Word Problems
Exercise 4
Read this problem: "Maya buys a book for $4.25 and a pencil for $0.75. She pays with $10. How much change does she get?" Break down the problem step by step.
Definition:

Problem breakdown: Separating a complex problem into simpler parts

Items Cost
$4.25 + $0.75 = $5.00
Paid
$10.00
Change
$5.00
Step 1: Read the entire problem

Maya buys two items and pays with $10

Step 2: Find the costs

Book = $4.25, Pencil = $0.75

Step 3: Add the costs

$4.25 + $0.75 = $5.00 total

Step 4: Subtract from payment

$10.00 - $5.00 = $5.00 change

Maya gets $5.00 in change
Final answer:

Maya gets $5.00 in change

Applied rules:

• Multi-step problems: Add costs first, then subtract from payment

• Sequential reading: Process information in order

• Verification: Check that $5.00 + $5.00 = $10.00

5 Checking Solutions
Exercise 5
Read this solution: "Anna has $3.00. She spends $1.85. $3.00 - $1.85 = $1.15. Anna has $1.15 left." Check if this answer is correct.
Definition:

Checking solutions: Verifying that answers are correct and reasonable

Original amount
$3.00
Amount spent
$1.85
Calculated change
$1.15
Step 1: Verify the subtraction

$3.00 - $1.85 = $1.15 (correct)

Step 2: Check by adding back

$1.85 + $1.15 = $3.00 ✓

Step 3: Assess reasonableness

Spending less than $2 from $3 leaves about $1 - makes sense

Step 4: Confirm units

All amounts include dollar signs and cents

Solution is correct: $1.15 remaining
Final answer:

Yes, the solution is correct. $3.00 - $1.85 = $1.15.

Applied rules:

• Verification: Add the answer back to the cost to check

• Reasonableness: Does the answer make sense?

• Unit consistency: All amounts should have same format

Reading and Understanding Math Solutions
Change = Paid - Cost
Change Formula
Key definitions:

Reading comprehension: Understanding the meaning of math problems and solutions

Key information: Numbers and words that are important for solving the problem

Verification: Checking that answers are correct

Reading Comprehension Steps:
  1. First read-through: Get the general idea of the problem
  2. Second read-through: Identify all numbers and their meanings
  3. Locate the question: Find what is being asked
  4. Determine operation: Decide whether to add or subtract
  5. Solve the problem: Perform the calculation
  6. Check the answer: Verify it makes sense
Tip 1: Read problems slowly and carefully.
Tip 2: Circle important numbers to keep track of them.
Tip 3: Always check if your answer makes sense.
Tip 4: Practice reading problems out loud.
Common errors: Missing numbers, misunderstanding the question, incorrect operations.
Practice tips: Work with a partner, use manipulatives, draw pictures.
Reading problem facts:

• Always read the entire problem before starting

• Circle numbers to keep track of them

• Look for question words like "what" or "how much"

• Change problems typically use subtraction

• Check your answer by adding it back to the cost

Questions & Answers

Question: I sometimes skip words when reading math problems. How can I make sure I read everything?

Answer: Here are strategies to help you read math problems completely:

  • Point and read: Use your finger to follow along as you read each word
  • Read twice: First for general understanding, second to find details
  • Circle important words: Mark numbers and question words
  • Read aloud: Speaking the words helps you process them
  • Take your time: Don't rush through the problem

Remember: It's better to read slowly and get it right than to read fast and make mistakes!

Practice with shorter problems first, then work up to longer ones.

Question: How do I know which numbers to use when there are lots of numbers in a problem?

Answer: Here's how to identify the important numbers:

  • Look for money amounts: Numbers with dollar signs or decimal points
  • Find the question: What is the problem asking for?
  • Circle key numbers: Mark the amounts you need to work with
  • Ignore extra information: Some problems have extra details
  • Focus on the operation: Change problems usually involve subtraction

Example: "Tom has $5.00 and buys a $2.00 book and a $1.50 snack." Important numbers: $5.00, $2.00, $1.50.

Always re-read the question to make sure you're using the right numbers!

Question: How can I help my child develop better reading comprehension skills for math word problems?

Answer: Here are effective strategies for building math reading comprehension:

  1. Model the process: Read problems aloud and think through them together
  2. Use graphic organizers: Create charts to organize information
  3. Practice with real money: Use physical coins and bills to make problems concrete
  4. Build vocabulary: Teach math terms like "change," "total," "remaining"
  5. Start simple: Begin with one-step problems before advancing
  6. Encourage questions: Ask your child to explain their thinking

Create a "problem-solving toolkit" with steps written down. Practice daily with short, simple problems.

Celebrate small successes to build confidence and motivation.

Complete Summary: Making a Change Reading Answers

Key Definitions

Reading math problems: Carefully examining word problems to identify important information and understand what is being asked.

Key numbers: The monetary amounts mentioned in the problem that are necessary for solving it.

Question word: Words like "what," "how much," "find," or "calculate" that indicate what the problem is asking for.

Verification: The process of checking that your answer is correct and makes sense.

Core Rules and Principles

Reading carefully: Always read the entire problem before attempting to solve it.

Identifying information: Circle or mark important numbers and the question.

Change formula: Change = Amount Paid - Total Cost.

Verification rule: Check your answer by adding it back to the cost to ensure it equals the payment.

Step-by-Step Method
  1. Read the problem completely: Understand the entire situation described
  2. Circle important numbers: Mark all monetary amounts mentioned
  3. Find the question word: Identify what is being asked ("what," "how much")
  4. Determine the operation: Decide whether to add or subtract
  5. Solve the problem: Perform the calculation carefully
  6. Check your answer: Verify that it makes sense and is correct
Examples (Simple to Advanced)

Simple Example: "I have $1.00 and spend $0.25. How much do I have left?" Answer: $0.75.

Medium Example: "Tom pays $2.00 for a $1.50 item. What change does he get?" Answer: $0.50.

Advanced Example: "Maya buys items costing $1.25 and $0.75, pays with $5.00. How much change?" Answer: $3.00.

Tips and Tricks
  • Use your finger: Point to each word as you read to avoid skipping
  • Read twice: First for understanding, second for details
  • Circle numbers: Mark important amounts to keep track
  • Look for patterns: Change problems usually involve subtraction
  • Check reasonableness: Ask if your answer makes sense
Common Pitfalls
  • Skipping words: Missing important information by reading too quickly
  • Missing numbers: Not identifying all monetary amounts
  • Wrong operation: Adding instead of subtracting (or vice versa)
  • Not checking: Failing to verify that the answer is correct
  • Ignoring context: Not understanding what the problem is asking
Key Notes for Memorization
  • Change = Paid - Cost: This formula works for all change problems
  • Circle important numbers: Mark them to avoid missing
  • Look for question words: What, how much, find indicate the answer
  • Always check: Add your answer back to the cost
  • Read carefully: Take your time with each word